Pith Number

pith:27QP5ZS2

pith:2014:27QP5ZS2I5L6IYCDZPQG224KR2

not attested not anchored not stored refs pending

Pfaffian formulas for spanning tree probabilities

David B. Wilson, Greta Panova

arxiv:1407.3748 v1 · 2014-07-14 · math.PR · 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{27QP5ZS2I5L6IYCDZPQG224KR2}

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	2026-05-18T01:12:50.141140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e0fee65a4757e46043cbe06d6b8a8e97822ed8d35a2851233777634f09c4d9

Aliases

arxiv: 1407.3748 · arxiv_version: 1407.3748v1 · doi: 10.48550/arxiv.1407.3748 · pith_short_12: 27QP5ZS2I5L6 · pith_short_16: 27QP5ZS2I5L6IYCD · pith_short_8: 27QP5ZS2

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/27QP5ZS2I5L6IYCDZPQG224KR2 \
  | 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: d7e0fee65a4757e46043cbe06d6b8a8e97822ed8d35a2851233777634f09c4d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d1b89b96a4c4533d755226e7c535613f31141f11b69a9ac8bf2532f5ea4332",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-14T17:56:44Z",
    "title_canon_sha256": "0d8e5af5cf3bf508299d289e48ab1072df8c05ae57f18243d936198810bd07fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3748",
    "kind": "arxiv",
    "version": 1
  }
}