Pith Number

pith:G3PGZ7J3

pith:2013:G3PGZ7J3N5DSWPB3JXQC7OPWUS

not attested not anchored not stored refs pending

The ZX-calculus is complete for stabilizer quantum mechanics

Miriam Backens

arxiv:1307.7025 v1 · 2013-07-26 · 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{G3PGZ7J3N5DSWPB3JXQC7OPWUS}

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	2026-05-18T02:42:28.805817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36de6cfd3b6f472b3c3b4de02fb9f6a4b53c982c725211f2ce7390b96329ab0c

Aliases

arxiv: 1307.7025 · arxiv_version: 1307.7025v1 · doi: 10.48550/arxiv.1307.7025 · pith_short_12: G3PGZ7J3N5DS · pith_short_16: G3PGZ7J3N5DSWPB3 · pith_short_8: G3PGZ7J3

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/G3PGZ7J3N5DSWPB3JXQC7OPWUS \
  | 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: 36de6cfd3b6f472b3c3b4de02fb9f6a4b53c982c725211f2ce7390b96329ab0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45824bd955f7f290c023e8cb550702e6d1d858a2dba9054db161d34e4fd4042c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-07-26T13:11:11Z",
    "title_canon_sha256": "82ab01588b1027a96eb3273827defdb077afcb2dc4e31fada1c6aeebcc0092c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7025",
    "kind": "arxiv",
    "version": 1
  }
}