Pith Number

pith:33NHCVUM

pith:2010:33NHCVUM7M6SWLLFCZKSO66WA3

not attested not anchored not stored refs pending

Symmetry and Cauchy completion of quantaloid-enriched categories

Hans Heymans, Isar Stubbe

arxiv:1005.1018 v3 · 2010-05-06 · 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{33NHCVUM7M6SWLLFCZKSO66WA3}

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	2026-05-18T04:19:32.333241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deda71568cfb3d2b2d651655277bd606c64b1ff4295c953f9f965aefd30cd239

Aliases

arxiv: 1005.1018 · arxiv_version: 1005.1018v3 · doi: 10.48550/arxiv.1005.1018 · pith_short_12: 33NHCVUM7M6S · pith_short_16: 33NHCVUM7M6SWLLF · pith_short_8: 33NHCVUM

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/33NHCVUM7M6SWLLFCZKSO66WA3 \
  | 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: deda71568cfb3d2b2d651655277bd606c64b1ff4295c953f9f965aefd30cd239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b6a9406a15187f0a7584c4b1f22ebd3f3751a3ecd2a0fff9708ff8b6e37241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-05-06T15:24:14Z",
    "title_canon_sha256": "9fae724d9f23fd103ed4391796880933efb3ea992f9579d09403c808b4f9b50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1018",
    "kind": "arxiv",
    "version": 3
  }
}