Pith Number

pith:4BVXQKP2

pith:2014:4BVXQKP2VV7KFJWXVJIA4QEVBI

not attested not anchored not stored refs pending

On a Cohen-Lenstra Heuristic for Jacobians of Random Graphs

Julien Clancy, Melanie Matchett Wood, Nathan Kaplan, Sam Payne, Timothy Leake

arxiv:1402.5129 v2 · 2014-02-20 · 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{4BVXQKP2VV7KFJWXVJIA4QEVBI}

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	2026-05-18T01:17:01.348480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06b7829faad7ea2a6d7aa500e40950a3d8e090585762a1120bbe6ed9da18451

Aliases

arxiv: 1402.5129 · arxiv_version: 1402.5129v2 · doi: 10.48550/arxiv.1402.5129 · pith_short_12: 4BVXQKP2VV7K · pith_short_16: 4BVXQKP2VV7KFJWX · pith_short_8: 4BVXQKP2

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/4BVXQKP2VV7KFJWXVJIA4QEVBI \
  | 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: e06b7829faad7ea2a6d7aa500e40950a3d8e090585762a1120bbe6ed9da18451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "154c2785049c41dddab7bf88913fc98f949eac7a4299eb101e6af066fa38de39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-20T20:46:06Z",
    "title_canon_sha256": "1be9f2cf7e3c4972f68dab733c5b8203eb7ca03ed8984d1d34235290138900eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5129",
    "kind": "arxiv",
    "version": 2
  }
}