Pith Number

pith:VCAWUKMB

pith:2023:VCAWUKMB5SD7F3BHFIMEXYD2GV

not attested not anchored not stored refs pending

Classical Distributive Restriction Categories

Jean-Simon Pacaud Lemay, Robin Cockett

arxiv:2305.16524 v3 · 2023-05-25 · math.CT · cs.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{VCAWUKMB5SD7F3BHFIMEXYD2GV}

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	2026-07-05T10:49:02.784277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8816a2981ec87f2ec272a184be07a3566ee86a6c33679fc41fc3f28a08d7a0d

Aliases

arxiv: 2305.16524 · arxiv_version: 2305.16524v3 · doi: 10.48550/arxiv.2305.16524 · pith_short_12: VCAWUKMB5SD7 · pith_short_16: VCAWUKMB5SD7F3BH · pith_short_8: VCAWUKMB

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/VCAWUKMB5SD7F3BHFIMEXYD2GV \
  | 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: a8816a2981ec87f2ec272a184be07a3566ee86a6c33679fc41fc3f28a08d7a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0137a7cbe57be42354573eb36d31f164d45bde530e4b8d8dfaba8755e5315a5a",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-05-25T22:59:47Z",
    "title_canon_sha256": "ef664d3db8250f81782a95a3b91c13b0b47f8ad3dcd25d6ba0ea52268506ae56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16524",
    "kind": "arxiv",
    "version": 3
  }
}