Pith Number

pith:L7ENRJRI

pith:2010:L7ENRJRIKFO5ZOKRPRINY7OI7S

not attested not anchored not stored refs pending

A Quillen model structure for Gray-categories

Stephen Lack

arxiv:1001.2366 v2 · 2010-01-14 · math.CT · 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{L7ENRJRIKFO5ZOKRPRINY7OI7S}

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	2026-05-18T04:10:48.410289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc8d8a628515ddcb9517c50dc7dc8fcbd43551081e504d5e3becf2534801315

Aliases

arxiv: 1001.2366 · arxiv_version: 1001.2366v2 · doi: 10.48550/arxiv.1001.2366 · pith_short_12: L7ENRJRIKFO5 · pith_short_16: L7ENRJRIKFO5ZOKR · pith_short_8: L7ENRJRI

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/L7ENRJRIKFO5ZOKRPRINY7OI7S \
  | 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: 5fc8d8a628515ddcb9517c50dc7dc8fcbd43551081e504d5e3becf2534801315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691eb82559ee0ca57352089f756fc001e61c6eed1d9ad40a6d4326fc9e8602c6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-01-14T03:54:40Z",
    "title_canon_sha256": "f47af0906f48bd4206ff3fbeff356940450079189c7cb7d0cc6f9dab7b6f4b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2366",
    "kind": "arxiv",
    "version": 2
  }
}