Pith Number

pith:2F333N4F

pith:2022:2F333N4FTCI6Y5NPTTV34GVRM5

not attested not anchored not stored refs pending

Phase-free ZX diagrams are CSS codes (...or how to graphically grok the surface code)

Aleks Kissinger

arxiv:2204.14038 v1 · 2022-04-29 · 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{2F333N4FTCI6Y5NPTTV34GVRM5}

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.

Cited by

6 papers in Pith

Chutes and Ladders: Dynamical Automorphisms via the ZX-Calculus

Completeness of qufinite ZXW calculus, a graphical language for finite-dimensional quantum theory

Synthesis and Optimization of Encoding Circuits for Fault-Tolerant Quantum Computation

Graphical Algebraic Geometry: From Ideals and Varieties to Quantum Calculi

String Diagrams for Quantum Foundations, Computing and Natural Language Processing

Receipt and verification

First computed	2026-07-05T04:18:56.439887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d177bdb7859891ec75af9cebbe1ab167469ab0a015a9fd327ce0e8dd8ee3bdaa

Aliases

arxiv: 2204.14038 · arxiv_version: 2204.14038v1 · doi: 10.48550/arxiv.2204.14038 · pith_short_12: 2F333N4FTCI6 · pith_short_16: 2F333N4FTCI6Y5NP · pith_short_8: 2F333N4F

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/2F333N4FTCI6Y5NPTTV34GVRM5 \
  | 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: d177bdb7859891ec75af9cebbe1ab167469ab0a015a9fd327ce0e8dd8ee3bdaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d855ea975d86a344eb09a46082afa0efab31aabc08d68fa0a3cb25a6b89cc26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-04-29T12:17:51Z",
    "title_canon_sha256": "a4c92618593131c44db77f158d0e26130a1fb9a042c01b3e87eac4659033ffa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.14038",
    "kind": "arxiv",
    "version": 1
  }
}