Pith Number

pith:WBMCCPBS

pith:2024:WBMCCPBSCMES7ZQMP2GVTZR3MH

not attested not anchored not stored refs pending

Quantitative Monoidal Algebra: Axiomatising Distance with String Diagrams

Fabio Zanasi, Gabriele Lobbia, Ralph Sarkis, Wojciech R\'o\.zowski

arxiv:2410.09229 v3 · 2024-10-11 · cs.LO · 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{WBMCCPBSCMES7ZQMP2GVTZR3MH}

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	2026-07-05T11:28:11.642589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b058213c3213092fe60c7e8d59e63b61e118431377ecfce21c538dd6a57dda15

Aliases

arxiv: 2410.09229 · arxiv_version: 2410.09229v3 · doi: 10.48550/arxiv.2410.09229 · pith_short_12: WBMCCPBSCMES · pith_short_16: WBMCCPBSCMES7ZQM · pith_short_8: WBMCCPBS

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/WBMCCPBSCMES7ZQMP2GVTZR3MH \
  | 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: b058213c3213092fe60c7e8d59e63b61e118431377ecfce21c538dd6a57dda15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585905d1a68db2f34fb96e31d8169f35e344788e9e99945e8ceab38d3e0b1153",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2024-10-11T20:06:09Z",
    "title_canon_sha256": "1a3e92db2d3ee57d284eff6f87046512a6bd039ca128f01493ffa88054d52dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09229",
    "kind": "arxiv",
    "version": 3
  }
}