Pith Number

pith:B2XJVPF3

pith:2026:B2XJVPF3SKO3KSONSFS4C5BIH5

not attested not anchored not stored refs pending

Layered Monoidal Theories I: Diagrammatic Algebra and Applications

Fabio Zanasi, Leo Lobski

arxiv:2602.19776 v2 · 2026-02-23 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2XJVPF3SKO3KSONSFS4C5BIH5}

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	2026-07-29T01:25:35.315022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eae9abcbb929db549cd9165c174283f6db6a6c57e335559bc62b7e11bb6de3d

Aliases

arxiv: 2602.19776 · arxiv_version: 2602.19776v2 · doi: 10.48550/arxiv.2602.19776 · pith_short_12: B2XJVPF3SKO3 · pith_short_16: B2XJVPF3SKO3KSON · pith_short_8: B2XJVPF3

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/B2XJVPF3SKO3KSONSFS4C5BIH5 \
  | 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: 0eae9abcbb929db549cd9165c174283f6db6a6c57e335559bc62b7e11bb6de3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714580e2beda38a87595edae5b5a7dc42f475ad4cdfd81389898b8aa440af74a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-02-23T12:31:15Z",
    "title_canon_sha256": "fc4e4b47cf9727592ca575e064a658197574cbb8e499020296797f4a93f1118f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.19776",
    "kind": "arxiv",
    "version": 2
  }
}