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Daily network digest

Wednesday, December 24, 2025

Directed information-flow networks for this session, covering US equities, Cryptocurrency, Foreign exchange. Each class is estimated independently over a trailing one-year window; the tables below rank the assets carrying the most influence within their own network.

Jump to: US equities · Cryptocurrency · Foreign exchange

US equities

PBA was the most central name, carrying 2.98× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.179
Clustering
0.430
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
PBA 1 0.00200 2.98× 25.8% 14.3% RY, ROP, PCAR, RLI, L
CSX 2 0.00190 2.84× 24.7% 14.2% V, VOYA, ORLY, DIS, ED
CME 3 0.00174 2.60× 28.2% 19.5% SPGI, ALLE, OGE, OHI, NNN
EPD 4 0.00171 2.55× 26.8% 10.6% MKL, CSCO, ITW, COR, PBH
CSQ 5 0.00169 2.53× 23.2% 1.5% SU, PEG, UNF, APG, F
ROP 6 0.00165 2.47× 25.3% 15.2% BNS, AEP, JCI, STE, EQH
BMO 7 0.00155 2.31× 23.7% 15.7% EVRG, SPGI, CSQ, MTG, AGO
AIG 8 0.00153 2.29× 27.7% 20.4% ROP, PBA, OHI, RLI, ENB
OHI 9 0.00151 2.26× 29.3% 14.7% WEC, AEE, AER, TRMB, POR
NXST 10 0.00150 2.25× 29.7% 17.9% TD, GIS, CSX, AVY, GLPI

Rising influence vs 2025-12-23

SymbolPageRank PreviousChange
AYI 0.001330.00010 +0.00123
HPQ 0.001310.00010 +0.00121
WSFS 0.001300.00010 +0.00120
ITRI 0.001240.00010 +0.00114
RNST 0.001220.00010 +0.00112

Falling influence

SymbolPageRank PreviousChange
DBX 0.000100.00156 -0.00146
LBTYK 0.000100.00137 -0.00127
BTSG 0.000100.00136 -0.00126
COKE 0.000100.00134 -0.00124
BLKB 0.000100.00132 -0.00122

Cryptocurrency

KEEPUSD was the most central name, carrying 9.57× the influence of an average node across 379 assets.

assets
379
Density
0.115
Clustering
0.365
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
KEEPUSD 1 0.02524 9.57× 74.1% 19.0% JUNOUSD, BNTUSD, YFIUSD, ZETAUSD, CORECHAINUSD
SBRUSD 2 0.01402 5.31× 55.3% 23.8% TONUSD, BTCGBP, COWUSD, OPUSD, SWEATUSD
PAXGUSD 3 0.01205 4.57× 56.9% 23.5% XRPAUD, REPUSD, UNIUSD, ORCAUSD, ALEOUSD
AIRUSD 4 0.01090 4.13× 47.9% 19.6% CSPRUSD, AXLUSD, TIMEUSD, MNTUSD, XRTUSD
KAVAUSD 5 0.01073 4.07× 43.4% 14.3% IOTXUSD, RARIEUR, AIRUSD, BTRSTUSD, INDEXUSD
KMNOUSD 6 0.00985 3.73× 46.8% 9.0% KAVAUSD, LSETHUSD, LRDSUSD, ZEUSUSD, SAGAUSD
KEYUSD 7 0.00910 3.45× 45.5% 12.4% BCHNUSD, AIRUSD, REPV2USD, MEMEUSD, SWEATUSD
INVUSD 8 0.00901 3.42× 36.5% 23.8% KEEPUSD, OXTUSD, MNGOUSD, OCEANUSD, NEONUSD
SGBUSD 9 0.00901 3.41× 42.1% 11.9% SBRUSD, RBCUSD, BNCUSD, RAREUSD, ASMUSD
SWEATUSD 10 0.00843 3.20× 36.2% 14.8% LITUSD, SPAUSD, YFIUSD, QIUSD, ARBUSD

Rising influence vs 2025-12-23

SymbolPageRank PreviousChange
SBRUSD 0.014020.00678 +0.00724
KMNOUSD 0.009850.00270 +0.00715
AIRUSD 0.010900.00443 +0.00648
PAXGUSD 0.012050.00590 +0.00615
KAVAUSD 0.010730.00529 +0.00543

Falling influence

SymbolPageRank PreviousChange
BSXUSD 0.002130.01289 -0.01076
GARIUSD 0.006730.01392 -0.00719
PROUSD 0.003440.01034 -0.00690
ASMUSD 0.002840.00956 -0.00671
MOONUSD 0.002850.00860 -0.00574

Foreign exchange

CNYHKD was the most central name, carrying 7.25× the influence of an average node across 842 pairs.

pairs
842
Density
0.063
Clustering
0.369
Diameter

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
CNYHKD 1 0.00861 7.25× 3.2% 1.1% MYREUR, CLPCOP, GHSUSD, COPCLP, GBPGHS
DOPUSD 2 0.00852 7.18× 3.2% 0.6% GHSUSD, COPCLP, CLPCOP, GHSGBP, GBPGHS
CNYSGD 3 0.00776 6.53× 16.3% 2.0% PKRZAR, HKDBRL, GBPXPF, ZARPKR, CHFPKR
USDETB 4 0.00743 6.26× 8.3% 0.5% IDRTHB, PLNILS, NOKAED, ILSUSD
GBPXPF 5 0.00708 5.96× 5.2% 6.2% TWDCAD, KRWGBP, MYRGBP, TWDKRW, TWDTHB
GBPARS 6 0.00671 5.65× 19.4% 2.4% BRLRUB, GBPXPF, AUDTHB, USDRUB, SEKUSD
SGDARS 7 0.00670 5.64× 17.4% 2.0% BWPZAR, GBPXPF, RUBKRW, USDRUB, AUDTHB
CADARS 8 0.00669 5.63× 20.3% 2.1% GBPXPF, USDRUB, BWPZAR, RUBZAR, RUBCAD
ARSCAD 9 0.00658 5.54× 20.3% 2.1% GBPXPF, USDRUB, RUBJPY, SEKUSD, RUBKRW
USDRUB 10 0.00657 5.53× 11.5% 4.8% MXNZAR, PENCAD, JPYRUB, TRYZAR, CADKYD

Rising influence vs 2025-12-23

SymbolPageRank PreviousChange
GBPXPF 0.007080.00035 +0.00674
USDETB 0.007430.00102 +0.00641
SGDARS 0.006700.00113 +0.00557
EURHNL 0.005720.00045 +0.00527
ARSSGD 0.006470.00135 +0.00512

Falling influence

SymbolPageRank PreviousChange
AUDBRL 0.001340.01854 -0.01720
CADBRL 0.001250.01382 -0.01257
KRWBRL 0.000780.01319 -0.01241
GBPCLP 0.000210.00901 -0.00880
CLPGBP 0.000210.00896 -0.00875

How these numbers are produced

Transfer entropy measures how much knowing one asset's past reduces uncertainty about another's future, beyond what that asset's own past already explains. Unlike correlation it is directional, so an edge from A to B means A's moves carry information about B's next move — not merely that they move together.

Each night we estimate transfer entropy across three universes — roughly 1,500 US common stocks, 350 cryptocurrencies and 550 currency pairs — over a trailing one-year window, conditioning on a broad market series so that shared market-wide movement is discounted rather than counted as a link. Edges surviving the significance filter form that session's directed network, from which the centrality figures on this page are computed. Coverage differs by class: crypto reaches back to January 2024, equities to August 2025, so older digests may cover fewer classes.

PageRank ranks an asset by how much influence flows into it from other influential assets. In-degree and out-degree are the share of the network sending information to it and receiving information from it. Betweenness captures how often an asset sits on the shortest path between two others.

The volatility watch score is a model estimate of the probability that an asset sees elevated volatility in the coming sessions. It is a research output, not a forecast of price direction, and nothing on this page is investment advice.