Pith Number

pith:6Q5ZLOBI

pith:2012:6Q5ZLOBIBBCNGQ2FE3345N2E5D

not attested not anchored not stored refs pending

Principal minors Pfaffian half-tree theorem

B\'eatrice de Tili\`ere

arxiv:1207.2759 v2 · 2012-07-11 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Q5ZLOBIBBCNGQ2FE3345N2E5D}

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	2026-05-18T03:01:47.051968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43b95b8280844d3434526f7ceb744e8f4d4c5eec90326f766a04d9ddfe35219

Aliases

arxiv: 1207.2759 · arxiv_version: 1207.2759v2 · doi: 10.48550/arxiv.1207.2759 · pith_short_12: 6Q5ZLOBIBBCN · pith_short_16: 6Q5ZLOBIBBCNGQ2F · pith_short_8: 6Q5ZLOBI

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/6Q5ZLOBIBBCNGQ2FE3345N2E5D \
  | 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: f43b95b8280844d3434526f7ceb744e8f4d4c5eec90326f766a04d9ddfe35219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feca687ca778c837abb42a833b02f54282f07e1052063949b7369cec57f65545",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-11T19:56:02Z",
    "title_canon_sha256": "09280dc56b28a988e98d941ba6f9775b8071dc2ea271328b68041bbe3a146229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2759",
    "kind": "arxiv",
    "version": 2
  }
}