Pith Number

pith:UXKOO23D

pith:2014:UXKOO23DEFGHISL44PK3IUD2AZ

not attested not anchored not stored refs pending

Groupoids associated to semigroup actions

Jean Renault, S. Sundar

arxiv:1402.2762 v2 · 2014-02-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXKOO23DEFGHISL44PK3IUD2AZ}

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	2026-05-18T02:49:28.602213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d4e76b63214c74497ce3d5b4507a0675ab1ecf699a021a7421c0fce6f3ccb9

Aliases

arxiv: 1402.2762 · arxiv_version: 1402.2762v2 · doi: 10.48550/arxiv.1402.2762 · pith_short_12: UXKOO23DEFGH · pith_short_16: UXKOO23DEFGHISL4 · pith_short_8: UXKOO23D

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/UXKOO23DEFGHISL44PK3IUD2AZ \
  | 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: a5d4e76b63214c74497ce3d5b4507a0675ab1ecf699a021a7421c0fce6f3ccb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf65eb8be7a7745e5de4cf8d58b5c92d2a077b880de77ca4d470dfb5b71c5e3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-02-12T08:48:58Z",
    "title_canon_sha256": "a03bee967b7368e7096c2da534711f9957e4bc041281e04b7b69c58b47bfc65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2762",
    "kind": "arxiv",
    "version": 2
  }
}