Pith Number

pith:XYVZUKI5

pith:2019:XYVZUKI553RRMGIDH7ZZBI4A3Z

not attested not anchored not stored refs pending

Groupoid algebras as covariance algebras

James Fletcher, Lisa Orloff Clark

arxiv:1906.02855 v1 · 2019-06-07 · 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{XYVZUKI553RRMGIDH7ZZBI4A3Z}

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	2026-05-17T23:43:57.282942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2b9a291deee31619033ff390a380de70911646b8fccff14a55eb2246676b52

Aliases

arxiv: 1906.02855 · arxiv_version: 1906.02855v1 · doi: 10.48550/arxiv.1906.02855 · pith_short_12: XYVZUKI553RR · pith_short_16: XYVZUKI553RRMGID · pith_short_8: XYVZUKI5

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/XYVZUKI553RRMGIDH7ZZBI4A3Z \
  | 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: be2b9a291deee31619033ff390a380de70911646b8fccff14a55eb2246676b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f64378b9e9aff4c11b0c83b48b298ccd5181f0304bb84c0a6745affc1572785",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-06-07T01:32:38Z",
    "title_canon_sha256": "50d422bde563ef633da1a4bc8a871218946b879ffd874682d4c6c95b4d6c2d0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02855",
    "kind": "arxiv",
    "version": 1
  }
}