Pith Number

pith:CA3MUUEL

pith:2016:CA3MUUELNFMLDVWJAZWIXNJEMP

not attested not anchored not stored refs pending

A graphical calculus for semi-groupal categories

Sen Hu, Xuexing Lu, Yu Ye

arxiv:1604.07276 v7 · 2016-04-25 · math.CO · cs.DM · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CA3MUUELNFMLDVWJAZWIXNJEMP}

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	2026-05-18T00:00:02.816151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1036ca508b6958b1d6c9066c8bb52463d8051a02c366f5f8396a28d62ad14568

Aliases

arxiv: 1604.07276 · arxiv_version: 1604.07276v7 · doi: 10.48550/arxiv.1604.07276 · pith_short_12: CA3MUUELNFML · pith_short_16: CA3MUUELNFMLDVWJ · pith_short_8: CA3MUUEL

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/CA3MUUELNFMLDVWJAZWIXNJEMP \
  | 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: 1036ca508b6958b1d6c9066c8bb52463d8051a02c366f5f8396a28d62ad14568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bff27e507f10b18fb8031a088179c989a4e5842bb90412da3e683f5f475ea99",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-25T14:26:19Z",
    "title_canon_sha256": "af8ef99a84e161e66fe5d011d67a010f14675e7a3a24d5ac7451f55d64a41367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07276",
    "kind": "arxiv",
    "version": 7
  }
}