Pith Number

pith:ZYPAC6PS

pith:2015:ZYPAC6PSNVKATDB2FQNLFNQBBI

not attested not anchored not stored refs pending

Regular patterns, substitudes, Feynman categories and operads

Joachim Kock, Mark Weber, Michael Batanin

arxiv:1510.08934 v3 · 2015-10-29 · math.CT · math-ph · math.AT · math.MP · 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{ZYPAC6PSNVKATDB2FQNLFNQBBI}

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	2026-05-18T00:21:57.366891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1e0179f26d54098c3a2c1ab2b6010a0f846153319743deb10a5b2422a651cf

Aliases

arxiv: 1510.08934 · arxiv_version: 1510.08934v3 · doi: 10.48550/arxiv.1510.08934 · pith_short_12: ZYPAC6PSNVKA · pith_short_16: ZYPAC6PSNVKATDB2 · pith_short_8: ZYPAC6PS

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/ZYPAC6PSNVKATDB2FQNLFNQBBI \
  | 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: ce1e0179f26d54098c3a2c1ab2b6010a0f846153319743deb10a5b2422a651cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60639a7fcb9c1f0fcd2df10feadbe8d16c1036f98ae05ba0577c054f34c25c90",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-10-29T22:43:37Z",
    "title_canon_sha256": "88000493d51781bcc4969f31dda7b27a66af1a0b5fbe78877e2e62de64ee2c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08934",
    "kind": "arxiv",
    "version": 3
  }
}