Pith Number

pith:ZMCCGSSI

pith:2015:ZMCCGSSIOTWTXTXMB4L43PLBHU

not attested not anchored not stored refs pending

Sporadic and Exceptional

John McKay, Yang-Hui He

arxiv:1505.06742 v1 · 2015-05-25 · math.AG · hep-th · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMCCGSSIOTWTXTXMB4L43PLBHU}

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	2026-05-18T02:03:31.985003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb04234a4874ed3bceec0f17cdbd613d394baf4e81b972f508f06fbb5ed1b713

Aliases

arxiv: 1505.06742 · arxiv_version: 1505.06742v1 · doi: 10.48550/arxiv.1505.06742 · pith_short_12: ZMCCGSSIOTWT · pith_short_16: ZMCCGSSIOTWTXTXM · pith_short_8: ZMCCGSSI

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/ZMCCGSSIOTWTXTXMB4L43PLBHU \
  | 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: cb04234a4874ed3bceec0f17cdbd613d394baf4e81b972f508f06fbb5ed1b713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "147f42b4763e8f9847aab4c0b75224efbf39b36c6fd3a34774d80d47be219cb0",
    "cross_cats_sorted": [
      "hep-th",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-25T20:01:11Z",
    "title_canon_sha256": "7cdec54910812a652134f47b3f7fc0f317fd3448ed302a1128b7d6b33b7ff0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06742",
    "kind": "arxiv",
    "version": 1
  }
}