Pith Number

pith:5TVS3BR4

pith:2018:5TVS3BR4XNPTYNF2GLXKIM6LZ2

not attested not anchored not stored refs pending

The Category of Crossed Modules of Crossed Modules and Its Associated Double Groupoids

Ahmet Emin Tatar, Nelson Martins-Ferreira

arxiv:1802.01204 v1 · 2018-02-04 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TVS3BR4XNPTYNF2GLXKIM6LZ2}

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	2026-05-18T00:24:27.066566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eceb2d863cbb5f3c34ba32eea433cbceb35e46f94114bf41cbe17fc315ae40c0

Aliases

arxiv: 1802.01204 · arxiv_version: 1802.01204v1 · doi: 10.48550/arxiv.1802.01204 · pith_short_12: 5TVS3BR4XNPT · pith_short_16: 5TVS3BR4XNPTYNF2 · pith_short_8: 5TVS3BR4

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/5TVS3BR4XNPTYNF2GLXKIM6LZ2 \
  | 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: eceb2d863cbb5f3c34ba32eea433cbceb35e46f94114bf41cbe17fc315ae40c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e33e995b4ca68c746d54dcab6ef5c565d45638eb3920fbf48505803741735e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-02-04T22:11:58Z",
    "title_canon_sha256": "2059b3b2c11245b04862e8e94ea3423e004c75a92872d21003bb6f7d5bfbc96a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01204",
    "kind": "arxiv",
    "version": 1
  }
}