Pith Number

pith:NFOSYBPZ

pith:2002:NFOSYBPZ5WKEGF74TTRWTHHBP4

not attested not anchored not stored refs pending

Pfaffian and hafnian identities in shuffle algebras

J.-G. Luque, J.-Y. Thibon

arxiv:math/0204026 v2 · 2002-04-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFOSYBPZ5WKEGF74TTRWTHHBP4}

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	2026-05-18T03:34:00.567695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

695d2c05f9ed944317fc9ce3699ce17f340f7fcdedbb3bb71cb88599a8044099

Aliases

arxiv: math/0204026 · arxiv_version: math/0204026v2 · doi: 10.48550/arxiv.math/0204026 · pith_short_12: NFOSYBPZ5WKE · pith_short_16: NFOSYBPZ5WKEGF74 · pith_short_8: NFOSYBPZ

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/NFOSYBPZ5WKEGF74TTRWTHHBP4 \
  | 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: 695d2c05f9ed944317fc9ce3699ce17f340f7fcdedbb3bb71cb88599a8044099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e26c5698ed97d2eee52aa036d0d4dc62ae3df2294b80c52917ac87992ca3585",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-04-02T08:46:53Z",
    "title_canon_sha256": "717d63a01e5ba0442f06a60afb184b193f2db794a5c926f1004ddd07a22b0d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204026",
    "kind": "arxiv",
    "version": 2
  }
}