Pith Number

pith:4D3CFJYU

pith:2014:4D3CFJYUYVFPHHAV2T7AVGZKQM

not attested not anchored not stored refs pending

Two- and three-cocycles for Laver tables

Patrick Dehornoy (LMNO, PPS), Victoria Lebed (OCAMI)

arxiv:1401.2335 v2 · 2014-01-10 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4D3CFJYUYVFPHHAV2T7AVGZKQM}

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	2026-05-18T03:00:25.293073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f622a714c54af39c15d4fe0a9b2a830aea9ad857fbf0655183b6e5608fb354

Aliases

arxiv: 1401.2335 · arxiv_version: 1401.2335v2 · doi: 10.48550/arxiv.1401.2335 · pith_short_12: 4D3CFJYUYVFP · pith_short_16: 4D3CFJYUYVFPHHAV · pith_short_8: 4D3CFJYU

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/4D3CFJYUYVFPHHAV2T7AVGZKQM \
  | 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: e0f622a714c54af39c15d4fe0a9b2a830aea9ad857fbf0655183b6e5608fb354

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc1a2701f901692580a0977acb0585362f94a3b7826fe5a0b9cad98235fb604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-01-10T14:07:06Z",
    "title_canon_sha256": "450ca3a2245f8fad98a7f678a2d8d350907ffeba5317af62fb7a01dbf5416a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2335",
    "kind": "arxiv",
    "version": 2
  }
}