Pith Number

pith:EMLM2Y6X

pith:2009:EMLM2Y6XPZVWR2LVX37ZOAPURF

not attested not anchored not stored refs pending

A survey of graphical languages for monoidal categories

Peter Selinger

arxiv:0908.3347 v1 · 2009-08-23 · 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{EMLM2Y6XPZVWR2LVX37ZOAPURF}

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

3 papers in Pith

Completeness of qufinite ZXW calculus, a graphical language for finite-dimensional quantum theory

Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction

String Diagrams for Quantum Foundations, Computing and Natural Language Processing

Receipt and verification

First computed	2026-05-18T03:49:58.742724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2316cd63d77e6b68e975beff9701f4894ef084ffbeda4548b48bd7c52d4a0318

Aliases

arxiv: 0908.3347 · arxiv_version: 0908.3347v1 · doi: 10.48550/arxiv.0908.3347 · pith_short_12: EMLM2Y6XPZVW · pith_short_16: EMLM2Y6XPZVWR2LV · pith_short_8: EMLM2Y6X

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/EMLM2Y6XPZVWR2LVX37ZOAPURF \
  | 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: 2316cd63d77e6b68e975beff9701f4894ef084ffbeda4548b48bd7c52d4a0318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822615b00a3ac5dd25d78c1acb89995a0cb9ea97da655e0dda689c96e3caca18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-08-23T23:53:43Z",
    "title_canon_sha256": "8ac6681dfd52174d29eb53382e91efb17b0c891e1233071c75c9f3ddb28be393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3347",
    "kind": "arxiv",
    "version": 1
  }
}