Pith Number

pith:K4U6M25B

pith:2014:K4U6M25BA5JNLBJKYTGVXSE3OY

not attested not anchored not stored refs pending

The ZX-calculus is incomplete for quantum mechanics

Christian Schr\"oder de Witt, Vladimir Zamdzhiev (University of Oxford)

arxiv:1404.3633 v3 · 2014-04-14 · cs.LO · math.CT · 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{K4U6M25BA5JNLBJKYTGVXSE3OY}

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	2026-05-18T02:30:22.691519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5729e66ba10752d5852ac4cd5bc89b76241bd09eabe745fed248613210600742

Aliases

arxiv: 1404.3633 · arxiv_version: 1404.3633v3 · doi: 10.48550/arxiv.1404.3633 · pith_short_12: K4U6M25BA5JN · pith_short_16: K4U6M25BA5JNLBJK · pith_short_8: K4U6M25B

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/K4U6M25BA5JNLBJKYTGVXSE3OY \
  | 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: 5729e66ba10752d5852ac4cd5bc89b76241bd09eabe745fed248613210600742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e5f8b22e876692550517b2f3770737e8720f39d122d72f4f2ad3246ec81bbd",
    "cross_cats_sorted": [
      "math.CT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-04-14T15:56:14Z",
    "title_canon_sha256": "bcab439309fd505bc074a9b2c7ad5665ce5deb921f006e21d0a39cf32c6ea196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3633",
    "kind": "arxiv",
    "version": 3
  }
}