Pith Number

pith:LGHV5DBO

pith:2018:LGHV5DBO22FEME764LEXWPY3Z4

not attested not anchored not stored refs pending

A Near-Optimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics

Renaud Vilmart

arxiv:1812.09114 v1 · 2018-12-21 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGHV5DBO22FEME764LEXWPY3Z4}

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	2026-05-17T23:57:45.362558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598f5e8c2ed68a4613fee2c97b3f1bcf240d86bdd58c0546feaaa0586d8859fb

Aliases

arxiv: 1812.09114 · arxiv_version: 1812.09114v1 · doi: 10.48550/arxiv.1812.09114 · pith_short_12: LGHV5DBO22FE · pith_short_16: LGHV5DBO22FEME76 · pith_short_8: LGHV5DBO

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/LGHV5DBO22FEME764LEXWPY3Z4 \
  | 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: 598f5e8c2ed68a4613fee2c97b3f1bcf240d86bdd58c0546feaaa0586d8859fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b797a16d2452d76c5af6bb7e40ac3366e463d6575fc90ae521b7d0ac83b63340",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-12-21T13:44:21Z",
    "title_canon_sha256": "bb22597745b3efe84463b5722133fbf013e1227ecf84d2832d2e49ff0dfd21c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09114",
    "kind": "arxiv",
    "version": 1
  }
}