Pith Number

pith:2CO5T565

pith:2017:2CO5T565Q3SOJW7OXBNMD7H3TB

not attested not anchored not stored refs pending

Cohen-Lenstra-Gerth Heuristics via Automorphism Counts

Cam McLeman, Nathan Jones

arxiv:1712.10080 v2 · 2017-12-28 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CO5T565Q3SOJW7OXBNMD7H3TB}

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	2026-05-17T23:54:56.428638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09dd9f7dd86e4e4dbeeb85ac1fcfb985a1fae71deca0352c5676aa7d1f7f0b3

Aliases

arxiv: 1712.10080 · arxiv_version: 1712.10080v2 · doi: 10.48550/arxiv.1712.10080 · pith_short_12: 2CO5T565Q3SO · pith_short_16: 2CO5T565Q3SOJW7O · pith_short_8: 2CO5T565

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/2CO5T565Q3SOJW7OXBNMD7H3TB \
  | 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: d09dd9f7dd86e4e4dbeeb85ac1fcfb985a1fae71deca0352c5676aa7d1f7f0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbb9f6178eb16adca05ce5a9f8080cd73a8666c7ed2d07d90aeabb9d5c6fa6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-28T23:09:30Z",
    "title_canon_sha256": "7889a6eae6f6e8b666d4b3c22582f1fb9104930192352a8378e1532d138d24c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10080",
    "kind": "arxiv",
    "version": 2
  }
}