Pith Number

pith:6KYZJ3PS

pith:2017:6KYZJ3PSAYOKJJAUU23XGAF7ZX

not attested not anchored not stored refs pending

Abstract matrix-tree theorem and Bernardi polynomial

Yurii Burman

arxiv:1703.04120 v1 · 2017-03-12 · 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{6KYZJ3PSAYOKJJAUU23XGAF7ZX}

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	2026-05-18T00:48:49.722682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b194edf2061ca4a414a6b77300bfcddb5bf53fa3d6d17161863844383f5679

Aliases

arxiv: 1703.04120 · arxiv_version: 1703.04120v1 · doi: 10.48550/arxiv.1703.04120 · pith_short_12: 6KYZJ3PSAYOK · pith_short_16: 6KYZJ3PSAYOKJJAU · pith_short_8: 6KYZJ3PS

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/6KYZJ3PSAYOKJJAUU23XGAF7ZX \
  | 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: f2b194edf2061ca4a414a6b77300bfcddb5bf53fa3d6d17161863844383f5679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1319d61d5f8adb5a7a750b919e9d95311d18bb1796ff352d1a38818f945143f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-12T13:56:56Z",
    "title_canon_sha256": "72b69371bf50fde140f44080b1ed66735bef157bb965a0a6226974b1e9d3e633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04120",
    "kind": "arxiv",
    "version": 1
  }
}