Pith Number

pith:QFEATURG

pith:2025:QFEATURG5XXQQNH5YK64PKTFAA

not attested not anchored not stored refs pending

A model structure on the category of A$_\infty$-categories with strict morphisms

Mattia Ornaghi

arxiv:2506.22847 v1 · 2025-06-28 · math.CT · math.AG · 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{QFEATURG5XXQQNH5YK64PKTFAA}

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	2026-07-05T11:28:46.524701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

814809d226edef0834fdc2bdc7aa650002250000b31f72f3362a5bc288c996ac

Aliases

arxiv: 2506.22847 · arxiv_version: 2506.22847v1 · doi: 10.48550/arxiv.2506.22847 · pith_short_12: QFEATURG5XXQ · pith_short_16: QFEATURG5XXQQNH5 · pith_short_8: QFEATURG

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/QFEATURG5XXQQNH5YK64PKTFAA \
  | 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: 814809d226edef0834fdc2bdc7aa650002250000b31f72f3362a5bc288c996ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65135183cbf32138215be9dbab41f86126d135dfec9a82b68b54f6e287aac2c0",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-06-28T11:03:06Z",
    "title_canon_sha256": "5fca2bf58b06a8bd4b71e0487a246cbd9863b1b0b95be911b4abf0a361012b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22847",
    "kind": "arxiv",
    "version": 1
  }
}