Pith Number

pith:GT2PXJ42

pith:2014:GT2PXJ42BEWFYCTTBOYD3JZJ65

not attested not anchored not stored refs pending

Factorisations of distributive laws

Paul Slevin, Ulrich Kraehmer

arxiv:1409.7521 v1 · 2014-09-26 · math.CT · math.KT · 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{GT2PXJ42BEWFYCTTBOYD3JZJ65}

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	2026-05-18T02:41:52.481966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f4fba79a092c5c0a730bb03da729f769b9759d6439d35e1b734f9fe0935257

Aliases

arxiv: 1409.7521 · arxiv_version: 1409.7521v1 · doi: 10.48550/arxiv.1409.7521 · pith_short_12: GT2PXJ42BEWF · pith_short_16: GT2PXJ42BEWFYCTT · pith_short_8: GT2PXJ42

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/GT2PXJ42BEWFYCTTBOYD3JZJ65 \
  | 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: 34f4fba79a092c5c0a730bb03da729f769b9759d6439d35e1b734f9fe0935257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f6b5982ceb991ec2399fdb5c66717f2b26b2dbaecc9fd1064c85248eb64246",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-09-26T09:58:49Z",
    "title_canon_sha256": "80f174677fbb2039338fcc304e4861fa8c8ed5a0fbbc5666c0f870174f20d310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7521",
    "kind": "arxiv",
    "version": 1
  }
}