Pith Number

pith:TB2NBFL7

pith:2025:TB2NBFL7NPW5KVDXWPBELA4LE6

not attested not anchored not stored refs pending

Pita factorisation in operadic categories

Joachim Kock, Mark Weber, Michael Batanin

arxiv:2512.22794 v2 · 2025-12-28 · 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{TB2NBFL7NPW5KVDXWPBELA4LE6}

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.

Cited by

1 paper in Pith

Polynomial $2$-monads and delooping

Receipt and verification

First computed	2026-06-23T03:13:52.870051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9874d0957f6bedd55477b3c245838b27a360dc1438ab876b5b9bbae2923c2e9f

Aliases

arxiv: 2512.22794 · arxiv_version: 2512.22794v2 · doi: 10.48550/arxiv.2512.22794 · pith_short_12: TB2NBFL7NPW5 · pith_short_16: TB2NBFL7NPW5KVDX · pith_short_8: TB2NBFL7

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/TB2NBFL7NPW5KVDXWPBELA4LE6 \
  | 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: 9874d0957f6bedd55477b3c245838b27a360dc1438ab876b5b9bbae2923c2e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef34c620a29d3f645effeea8c0240350b518075af3ed6784e130f1234931042",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-12-28T05:36:41Z",
    "title_canon_sha256": "90192f27a54247c20befe2efab01acbc30f972fc8d745ab08873d4d535bc598d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22794",
    "kind": "arxiv",
    "version": 2
  }
}