Pith Number

pith:WBGHEQ66

pith:2025:WBGHEQ66VOLIL4SOVBIXHXXJEV

not attested not anchored not stored refs pending

Double Categories of Open Systems: the Cospan Approach

John C. Baez

arxiv:2509.22584 v2 · 2025-09-26 · 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{WBGHEQ66VOLIL4SOVBIXHXXJEV}

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.

Cited by

2 papers in Pith

Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads

Receipt and verification

First computed	2026-07-24T01:24:03.869384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04c7243deab9685f24ea85173dee9256fdc6e5c2a3d141e1d9b815b22e8d110

Aliases

arxiv: 2509.22584 · arxiv_version: 2509.22584v2 · doi: 10.48550/arxiv.2509.22584 · pith_short_12: WBGHEQ66VOLI · pith_short_16: WBGHEQ66VOLIL4SO · pith_short_8: WBGHEQ66

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/WBGHEQ66VOLIL4SOVBIXHXXJEV \
  | 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: b04c7243deab9685f24ea85173dee9256fdc6e5c2a3d141e1d9b815b22e8d110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2306b24761ccbf7da41031ac0736c74c7e6d151a0fb14238c665ef4e70aa709f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-09-26T17:04:14Z",
    "title_canon_sha256": "c48bdf5a08234af9eafb5ebc285cc0f80479448c059a62dbf7a3da580c537ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.22584",
    "kind": "arxiv",
    "version": 2
  }
}