Pith Number

pith:4OOTJT6H

pith:2018:4OOTJT6HVS5LEJ6W2BMKXMEUOB

not attested not anchored not stored refs pending

A ZX-Calculus with Triangles for Toffoli-Hadamard, Clifford+T, and Beyond

CNRS, F 54000 Nancy, France), Inria, LORIA, Renaud Vilmart (Universit\'e de Lorraine

arxiv:1804.03084 v3 · 2018-04-09 · 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{4OOTJT6HVS5LEJ6W2BMKXMEUOB}

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	2026-05-17T23:55:21.010412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39d34cfc7acbab227d6d058abb0947076c8713e4e1a5d61df28bf51fa4fca62

Aliases

arxiv: 1804.03084 · arxiv_version: 1804.03084v3 · doi: 10.48550/arxiv.1804.03084 · pith_short_12: 4OOTJT6HVS5L · pith_short_16: 4OOTJT6HVS5LEJ6W · pith_short_8: 4OOTJT6H

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/4OOTJT6HVS5LEJ6W2BMKXMEUOB \
  | 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: e39d34cfc7acbab227d6d058abb0947076c8713e4e1a5d61df28bf51fa4fca62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d900441d27ef37dc5c101f2ed10faffa320c474487b6fc73c074ece63137aa1",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-04-09T16:21:18Z",
    "title_canon_sha256": "2276db1ef1b9a9d29475be7348a908ad3a6a23696bde4274e6f57bf1d90d7d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03084",
    "kind": "arxiv",
    "version": 3
  }
}