Pith Number

pith:JOZ743SN

pith:2013:JOZ743SNIH3PGLRXW5YWUYETGU

not attested not anchored not stored refs pending

The modular envelope of the cyclic operad Ass

Martin Doubek

arxiv:1312.5501 v1 · 2013-12-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOZ743SNIH3PGLRXW5YWUYETGU}

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	2026-05-18T03:04:14.648416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb3fe6e4d41f6f32e37b7716a6093352098c7413631a48ef9a417cd777f3b7a

Aliases

arxiv: 1312.5501 · arxiv_version: 1312.5501v1 · doi: 10.48550/arxiv.1312.5501 · pith_short_12: JOZ743SNIH3P · pith_short_16: JOZ743SNIH3PGLRX · pith_short_8: JOZ743SN

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/JOZ743SNIH3PGLRXW5YWUYETGU \
  | 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: 4bb3fe6e4d41f6f32e37b7716a6093352098c7413631a48ef9a417cd777f3b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35fa4fd43b316da5a2365964e5c805d8746edeb300fb4af448777124c055c82b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-19T12:11:42Z",
    "title_canon_sha256": "22d3d118bb3c246f4b51a4c97f4f1c1f83adbe28d7f24d6deceb4e67ec7bb6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5501",
    "kind": "arxiv",
    "version": 1
  }
}