Pith Number

pith:VOOC4NNU

pith:2025:VOOC4NNUGLXKZJUQYSMT5PTBWV

not attested not anchored not stored refs pending

Shannon invariants: A scalable approach to information decomposition

Aaron J. Gutknecht, Abdullah Makkeh, David A. Ehrlich, Fernando E. Rosas, Michael Wibral, Pedro A. M. Mediano

arxiv:2504.15779 v1 · 2025-04-22 · cs.IT · cs.AI · cs.LG · math.IT · nlin.AO · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOOC4NNUGLXKZJUQYSMT5PTBWV}

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

2 papers in Pith

Information Dynamics of Language Communication

A scalable estimator of higher-order information in complex dynamical systems

Receipt and verification

First computed	2026-07-05T10:52:29.818549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9c2e35b432eeaca690c4993ebe61b550d85029a6092ef295a6ed89eec86840

Aliases

arxiv: 2504.15779 · arxiv_version: 2504.15779v1 · doi: 10.48550/arxiv.2504.15779 · pith_short_12: VOOC4NNUGLXK · pith_short_16: VOOC4NNUGLXKZJUQ · pith_short_8: VOOC4NNU

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/VOOC4NNUGLXKZJUQYSMT5PTBWV \
  | 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: ab9c2e35b432eeaca690c4993ebe61b550d85029a6092ef295a6ed89eec86840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90798db8a0450bbfb61567a942121d3dde09648280e4a4ad007dc585f56df87",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.IT",
      "nlin.AO",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-04-22T10:41:38Z",
    "title_canon_sha256": "011147d54480f7c8c67e1936fcfe06c575331ee51d959712bd6a9e18e1bc4b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15779",
    "kind": "arxiv",
    "version": 1
  }
}