Pith Number

pith:CP543DMH

pith:2023:CP543DMHP3SNJ4QPYIFA7GEG4M

not attested not anchored not stored refs pending

Cumulant expansion for counting Eulerian orientations

Brendan D. McKay, Mikhail Isaev, Rui-Ray Zhang

arxiv:2309.15473 v2 · 2023-09-27 · 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{CP543DMHP3SNJ4QPYIFA7GEG4M}

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	2026-07-05T09:52:08.397692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13fbcd8d877ee4d4f20fc20a0f9886e300ca08743eda98028382a20778d543a0

Aliases

arxiv: 2309.15473 · arxiv_version: 2309.15473v2 · doi: 10.48550/arxiv.2309.15473 · pith_short_12: CP543DMHP3SN · pith_short_16: CP543DMHP3SNJ4QP · pith_short_8: CP543DMH

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/CP543DMHP3SNJ4QPYIFA7GEG4M \
  | 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: 13fbcd8d877ee4d4f20fc20a0f9886e300ca08743eda98028382a20778d543a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52958ce7e65c6ed9e413ee4acea0313ad0d0e0de2becd560db70ffa391322bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-27T08:13:37Z",
    "title_canon_sha256": "5ec36266f44b86bb097c6116cf1595e8c524f03210a995960441d6e32e77f6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15473",
    "kind": "arxiv",
    "version": 2
  }
}