Pith Number

pith:NJ2GIAN7

pith:2000:NJ2GIAN7SXO2T3COUL2MZHWQ7O

not attested not anchored not stored refs pending

Coherence, Homotopy and 2-Theories

Noson S. Yanofsky

arxiv:math/0007033 v1 · 2000-07-06 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJ2GIAN7SXO2T3COUL2MZHWQ7O}

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	2026-07-04T14:34:35.712608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a746401bf95dda9ec4ea2f4cc9ed0fba2dbc08fbb33f2e62e63676e82e7499e

Aliases

arxiv: math/0007033 · arxiv_version: math/0007033v1 · doi: 10.48550/arxiv.math/0007033 · pith_short_12: NJ2GIAN7SXO2 · pith_short_16: NJ2GIAN7SXO2T3CO · pith_short_8: NJ2GIAN7

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/NJ2GIAN7SXO2T3COUL2MZHWQ7O \
  | 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: 6a746401bf95dda9ec4ea2f4cc9ed0fba2dbc08fbb33f2e62e63676e82e7499e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06c914e969a97520f1a9eb519500ae7d0e7c8c6c048a60349860a720984275b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2000-07-06T17:20:07Z",
    "title_canon_sha256": "391a90c079b6f25e3374751435550494dc92ba78871432b64b4d2432af8b1156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007033",
    "kind": "arxiv",
    "version": 1
  }
}