Pith Number

pith:VXWBF6JM

pith:2005:VXWBF6JMHIHGORNF66SLO7FLIO

not attested not anchored not stored refs pending

A refinement of Cayley's formula for trees

Ira M. Gessel, Seunghyun Seo

arxiv:math/0507497 v1 · 2005-07-24 · 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{VXWBF6JMHIHGORNF66SLO7FLIO}

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	2026-05-18T03:29:16.818500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adec12f92c3a0e6745a5f7a4b77cab439f1ec0a632705f60219719596164b31e

Aliases

arxiv: math/0507497 · arxiv_version: math/0507497v1 · doi: 10.48550/arxiv.math/0507497 · pith_short_12: VXWBF6JMHIHG · pith_short_16: VXWBF6JMHIHGORNF · pith_short_8: VXWBF6JM

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/VXWBF6JMHIHGORNF66SLO7FLIO \
  | 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: adec12f92c3a0e6745a5f7a4b77cab439f1ec0a632705f60219719596164b31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60cbf21e8d2f440b0052a866ba7a5930518dc3c5e241abbcbb0f090a2e07532a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-07-24T19:20:52Z",
    "title_canon_sha256": "694fbd2cd52468e1d18021ab97a9cea479a0fa3139fba1292cf5f29639877312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507497",
    "kind": "arxiv",
    "version": 1
  }
}