Pith Number

pith:6SBSBOSL

pith:2017:6SBSBOSL6QPQLHJ46LE6SMF5UX

not attested not anchored not stored refs pending

ZX-Calculus: Cyclotomic Supplementarity and Incompleteness for Clifford+T quantum mechanics

Emmanuel Jeandel (CARTE), Quanlong Wang (CARTE), Renaud Vilmart (CARTE), Simon Perdrix (CARTE)

arxiv:1702.01945 v2 · 2017-02-07 · 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{6SBSBOSL6QPQLHJ46LE6SMF5UX}

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	2026-05-18T00:41:44.315713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48320ba4bf41f059d3cf2c9e930bda5f67d55dfe6eca80507944487151331bf

Aliases

arxiv: 1702.01945 · arxiv_version: 1702.01945v2 · doi: 10.48550/arxiv.1702.01945 · pith_short_12: 6SBSBOSL6QPQ · pith_short_16: 6SBSBOSL6QPQLHJ4 · pith_short_8: 6SBSBOSL

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/6SBSBOSL6QPQLHJ46LE6SMF5UX \
  | 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: f48320ba4bf41f059d3cf2c9e930bda5f67d55dfe6eca80507944487151331bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865b51408c9fc1301542e191d8c0331a241355dda9668177a912e67dadc1e174",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-02-07T10:19:04Z",
    "title_canon_sha256": "0049907d36ae7f2bb9d81926215dc9a5c6a71d5fbf7d25d78e7790fdd9ed86e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01945",
    "kind": "arxiv",
    "version": 2
  }
}