Pith Number

pith:5YRCOYSA

pith:2010:5YRCOYSAZ6MPG6OQOUUKVYUZIB

not attested not anchored not stored refs pending

On the 2-categories of weak distributive laws

Gabriella B\"ohm, Ross Street, Stephen Lack

arxiv:1009.3454 v2 · 2010-09-17 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YRCOYSAZ6MPG6OQOUUKVYUZIB}

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	2026-05-18T04:03:54.674040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee22276240cf98f379d07528aae299406723138fa476fd99b5d34f81be4c1aa6

Aliases

arxiv: 1009.3454 · arxiv_version: 1009.3454v2 · doi: 10.48550/arxiv.1009.3454 · pith_short_12: 5YRCOYSAZ6MP · pith_short_16: 5YRCOYSAZ6MPG6OQ · pith_short_8: 5YRCOYSA

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/5YRCOYSAZ6MPG6OQOUUKVYUZIB \
  | 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: ee22276240cf98f379d07528aae299406723138fa476fd99b5d34f81be4c1aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ecc68575b4d911814684083d22b872882268fef0058197f8376d649dcd27ff7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-09-17T15:35:48Z",
    "title_canon_sha256": "358ce6c7cbe3f80c9eec74cc0c057104e54e3651c0d12213ab02311e130e14a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3454",
    "kind": "arxiv",
    "version": 2
  }
}