Pith Number

pith:UGDYPCAT

pith:2019:UGDYPCATJMHL2EVZM76ZD7ABJH

not attested not anchored not stored refs pending

Modular Model Categories

Renaud Gauthier

arxiv:1906.09496 v1 · 2019-06-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGDYPCATJMHL2EVZM76ZD7ABJH}

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	2026-05-17T23:42:37.796337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1878788134b0ebd12b967fd91fc0149e267dcc5250684664205c6b3abdce080

Aliases

arxiv: 1906.09496 · arxiv_version: 1906.09496v1 · doi: 10.48550/arxiv.1906.09496 · pith_short_12: UGDYPCATJMHL · pith_short_16: UGDYPCATJMHL2EVZ · pith_short_8: UGDYPCAT

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/UGDYPCATJMHL2EVZM76ZD7ABJH \
  | 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: a1878788134b0ebd12b967fd91fc0149e267dcc5250684664205c6b3abdce080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a615cc5756468786f20be8930ee837c3d0798fc7ab5025edb5259d2ea1685a5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-22T20:14:40Z",
    "title_canon_sha256": "ad8efc21cf30afa7e9d9a99d12b0a40acd6cfe5a2e69c456c82324ad646b6b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09496",
    "kind": "arxiv",
    "version": 1
  }
}