Pith Number

pith:AC4HNUS7

pith:2012:AC4HNUS7NUHQ5QLQPJFNEEIWOS

not attested not anchored not stored refs pending

Semiunital Semimonoidal Categories (Applications to Semirings and Semicorings)

Jawad Abuhlail

arxiv:1209.4114 v2 · 2012-09-18 · math.CT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AC4HNUS7NUHQ5QLQPJFNEEIWOS}

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	2026-05-18T03:35:38.223849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b876d25f6d0f0ec1707a4ad211167486ab5087df39ebafcfc5f6e2ddd0d956

Aliases

arxiv: 1209.4114 · arxiv_version: 1209.4114v2 · doi: 10.48550/arxiv.1209.4114 · pith_short_12: AC4HNUS7NUHQ · pith_short_16: AC4HNUS7NUHQ5QLQ · pith_short_8: AC4HNUS7

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/AC4HNUS7NUHQ5QLQPJFNEEIWOS \
  | 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: 00b876d25f6d0f0ec1707a4ad211167486ab5087df39ebafcfc5f6e2ddd0d956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702b1fe1d47c824617d09c88fc8af5ad7ae4fdbe4da421284c765a40c797aeb6",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-09-18T22:29:14Z",
    "title_canon_sha256": "acd7a86d796bf60311f49893057c28454d468e12cdb9c375871931373cff4a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4114",
    "kind": "arxiv",
    "version": 2
  }
}