Pith Number

pith:VNF5QONU

pith:2010:VNF5QONU5A5SHBCMUX76GHGX5E

not attested not anchored not stored refs pending

Involutive Categories and Monoids, with a GNS-correspondence

Bart Jacobs

arxiv:1003.4552 v1 · 2010-03-23 · cs.LO · 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{VNF5QONU5A5SHBCMUX76GHGX5E}

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	2026-05-18T02:08:23.803556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4bd839b4e83b23844ca5ffe31cd7e9061e9150436c1eb4763231c632358c27

Aliases

arxiv: 1003.4552 · arxiv_version: 1003.4552v1 · doi: 10.48550/arxiv.1003.4552 · pith_short_12: VNF5QONU5A5S · pith_short_16: VNF5QONU5A5SHBCM · pith_short_8: VNF5QONU

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/VNF5QONU5A5SHBCMUX76GHGX5E \
  | 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: ab4bd839b4e83b23844ca5ffe31cd7e9061e9150436c1eb4763231c632358c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce1c530a37af9e16cd700aed245310c20aab98f4055d60072cd620522055c21c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2010-03-23T23:04:47Z",
    "title_canon_sha256": "584ad031e1694a6e93b795019a0c2d64ed0e88e32991da0e11c59533885501e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4552",
    "kind": "arxiv",
    "version": 1
  }
}