Pith Number

pith:TWMGMTLY

pith:2019:TWMGMTLYZ737WBZVELMDXYLKM7

not attested not anchored not stored refs pending

Completeness of the ZX-Calculus

Emmanuel Jeandel, Renaud Vilmart, Simon Perdrix

arxiv:1903.06035 v3 · 2019-03-13 · quant-ph · 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{TWMGMTLYZ737WBZVELMDXYLKM7}

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

1 paper in Pith

Quantum Information Flow under String-Diagram Rewriting

Receipt and verification

First computed	2026-07-05T06:23:26.584661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d98664d78cff7fb073522d83be16a67dd8e396590d870c756945efd1c74f2fd

Aliases

arxiv: 1903.06035 · arxiv_version: 1903.06035v3 · doi: 10.48550/arxiv.1903.06035 · pith_short_12: TWMGMTLYZ737 · pith_short_16: TWMGMTLYZ737WBZV · pith_short_8: TWMGMTLY

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/TWMGMTLYZ737WBZVELMDXYLKM7 \
  | 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: 9d98664d78cff7fb073522d83be16a67dd8e396590d870c756945efd1c74f2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da80522bc6557626b2bdf20735f0f0b7dc6c3e7c98cde1460ee7835610556190",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-13T16:45:40Z",
    "title_canon_sha256": "8a77d57fc712ca0d4e1ea35538a8de649dd53d2576a69c9f52e0bd0250386255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06035",
    "kind": "arxiv",
    "version": 3
  }
}