Pith Number

pith:X2444JLQ

pith:2012:X2444JLQWJE2EDU5MSP543F4LL

not attested not anchored not stored refs pending

Generalising canonical extension to the categorical setting

Dion Coumans

arxiv:1204.3745 v2 · 2012-04-17 · math.CT · 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{X2444JLQWJE2EDU5MSP543F4LL}

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	2026-05-18T03:51:48.524610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb9ce2570b249a20e9d649fde6cbc5af92a0f02eec82fcb23e204f45f175607

Aliases

arxiv: 1204.3745 · arxiv_version: 1204.3745v2 · doi: 10.48550/arxiv.1204.3745 · pith_short_12: X2444JLQWJE2 · pith_short_16: X2444JLQWJE2EDU5 · pith_short_8: X2444JLQ

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/X2444JLQWJE2EDU5MSP543F4LL \
  | 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: beb9ce2570b249a20e9d649fde6cbc5af92a0f02eec82fcb23e204f45f175607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80c9aeb3c3f94aea2435fecb60cffb4a07c65c2867faae7def358eea2401b14",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-04-17T09:37:16Z",
    "title_canon_sha256": "800feb3db86dbc716f7988cb680b5c716aca58fd6c12e0d81d24d241a066d86c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3745",
    "kind": "arxiv",
    "version": 2
  }
}