Pith Number

pith:NCZOQI2P

pith:2026:NCZOQI2PAYUKQEXXPDLEIZLO7Y

not attested not anchored not stored refs pending

The mathematical landscape of partial information decomposition: A comprehensive review of properties and measures

Alberto Liardi, George Blackburne, Keenan J. A. Down, Matteo Neri, Pedro A. M. Mediano

arxiv:2603.06678 v2 · 2026-03-03 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCZOQI2PAYUKQEXXPDLEIZLO7Y}

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.

Receipt and verification

First computed	2026-06-02T03:05:05.079928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b2e8234f0628a812f778d644656efe03e7bb6b0cfad0cd91190b6427bb8608

Aliases

arxiv: 2603.06678 · arxiv_version: 2603.06678v2 · doi: 10.48550/arxiv.2603.06678 · pith_short_12: NCZOQI2PAYUK · pith_short_16: NCZOQI2PAYUKQEXX · pith_short_8: NCZOQI2P

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/NCZOQI2PAYUKQEXXPDLEIZLO7Y \
  | 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: 68b2e8234f0628a812f778d644656efe03e7bb6b0cfad0cd91190b6427bb8608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fecf74d97b58fed522663387e096b82a98ae61a8272f0ea4a713043a2be228ec",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-03-03T17:57:22Z",
    "title_canon_sha256": "f15b2870876e971cce5cc0dd4ffc5bbd82b000a1d1774a27fd694357304290ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.06678",
    "kind": "arxiv",
    "version": 2
  }
}