Pith Number

pith:IPCX54P7

pith:2013:IPCX54P7HVXQA2MR5W2YCOYPBM

not attested not anchored not stored refs pending

Rationality for subgroups of S_6

Jian Zhou

arxiv:1308.0409 v2 · 2013-08-02 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPCX54P7HVXQA2MR5W2YCOYPBM}

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	2026-05-18T03:14:16.986051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c57ef1ff3d6f006991edb5813b0f0b04906d78e85a0f6ec75ff29c008b9f2c

Aliases

arxiv: 1308.0409 · arxiv_version: 1308.0409v2 · doi: 10.48550/arxiv.1308.0409 · pith_short_12: IPCX54P7HVXQ · pith_short_16: IPCX54P7HVXQA2MR · pith_short_8: IPCX54P7

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/IPCX54P7HVXQA2MR5W2YCOYPBM \
  | 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: 43c57ef1ff3d6f006991edb5813b0f0b04906d78e85a0f6ec75ff29c008b9f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49e5d615623c37f049285249d479db9e6b9cf33e35a08cc11eb8067822b3661",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-02T05:07:13Z",
    "title_canon_sha256": "63f92b6ffa835347a9504f027d1e0290fa293c058c0c264d0e68bd32310e4e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0409",
    "kind": "arxiv",
    "version": 2
  }
}