Pith Number

pith:TCJKOSJJ

pith:2026:TCJKOSJJNMH6GL3D67VEQFZZOF

not attested not anchored not stored refs pending

2-dimensional Lawvere theories, commutativity, and higher Day convolution

Tom\'a\v{s} Perutka

arxiv:2602.14332 v2 · 2026-02-15 · math.CT · math.AT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCJKOSJJNMH6GL3D67VEQFZZOF}

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	2026-06-05T01:15:20.576891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9892a749296b0fe32f63f7ea48173971592e77f26f92c249ad193a88dbcf1759

Aliases

arxiv: 2602.14332 · arxiv_version: 2602.14332v2 · doi: 10.48550/arxiv.2602.14332 · pith_short_12: TCJKOSJJNMH6 · pith_short_16: TCJKOSJJNMH6GL3D · pith_short_8: TCJKOSJJ

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/TCJKOSJJNMH6GL3D67VEQFZZOF \
  | 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: 9892a749296b0fe32f63f7ea48173971592e77f26f92c249ad193a88dbcf1759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca34add2c9cfd5ee7cfbb6a2f4e32b1a50b1a5289c1c44ca73dc1a440b66796f",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-02-15T22:58:48Z",
    "title_canon_sha256": "3427857c80d68d9b94b5a1897cc258d6157317ae4e59fa5ce31900842279f06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14332",
    "kind": "arxiv",
    "version": 2
  }
}