Pith Number

pith:VVDAT526

pith:2013:VVDAT526YFTRYOERKN7CX3REEX

not attested not anchored not stored refs pending

Asymptotic enumeration of sparse multigraphs with given degrees

Brendan D McKay, Catherine Greenhill

arxiv:1303.4218 v2 · 2013-03-18 · 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{VVDAT526YFTRYOERKN7CX3REEX}

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	2026-05-18T03:12:46.285216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4609f75ec1671c3891537e2bee2425dafa2f0e942f469f0dd49e7ca2390ae2

Aliases

arxiv: 1303.4218 · arxiv_version: 1303.4218v2 · doi: 10.48550/arxiv.1303.4218 · pith_short_12: VVDAT526YFTR · pith_short_16: VVDAT526YFTRYOER · pith_short_8: VVDAT526

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/VVDAT526YFTRYOERKN7CX3REEX \
  | 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: ad4609f75ec1671c3891537e2bee2425dafa2f0e942f469f0dd49e7ca2390ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae12d91578bf5d77e38543734a197c36e81128c0d817d7fe2de8a432e5bbf64c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-18T11:55:24Z",
    "title_canon_sha256": "a092d2eecdd88122ca55a7912c0635c58fd5d112b551f74b0831437763b0f64d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4218",
    "kind": "arxiv",
    "version": 2
  }
}