Pith Number

pith:JHGWV3LE

pith:2010:JHGWV3LEGQZ3PABWCNGXCD2HCU

not attested not anchored not stored refs pending

Nonnegative Decomposition of Multivariate Information

Paul L. Williams, Randall D. Beer

arxiv:1004.2515 v1 · 2010-04-14 · cs.IT · math-ph · math.IT · math.MP · physics.bio-ph · physics.data-an · q-bio.NC · q-bio.QM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHGWV3LEGQZ3PABWCNGXCD2HCU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

35 papers in Pith

From Statistical to Structural Synergy: A Predictability Framework to Quantify the Effects due to High-Order Mechanisms

The Representational Limit of Scalar Interactions: An Interventional Decomposition

DIPHINE: Diffusion-based $\Phi$-ID Neural Estimator

Information-Theoretic Decomposition for Multimodal Interaction Learning

Now You (Still) See Me: Detecting Evasive Steganographic Payloads in LLMs

Receipt and verification

First computed	2026-07-04T17:26:29.721313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49cd6aed643433b78036134d710f471516ca11ea9eb9e6446ff3dc55da0827a3

Aliases

arxiv: 1004.2515 · arxiv_version: 1004.2515v1 · doi: 10.48550/arxiv.1004.2515 · pith_short_12: JHGWV3LEGQZ3 · pith_short_16: JHGWV3LEGQZ3PABW · pith_short_8: JHGWV3LE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JHGWV3LEGQZ3PABWCNGXCD2HCU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 49cd6aed643433b78036134d710f471516ca11ea9eb9e6446ff3dc55da0827a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "326ca82a2a3d6c90c765032f3b06f2ff6b6caeeb2b51ae29da80d278b68b10df",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP",
      "physics.bio-ph",
      "physics.data-an",
      "q-bio.NC",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-04-14T22:12:52Z",
    "title_canon_sha256": "02ff4d4e243b68a554b0a70231d3287dc4e4694d0f8a5a72b8fa4cefe2383837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2515",
    "kind": "arxiv",
    "version": 1
  }
}