Pith Number

pith:4WOG6OZF

pith:2023:4WOG6OZFKJU6HE4YRDXQKDRXTP

not attested not anchored not stored refs pending

A ZX-Calculus Approach for the Construction of Graph Codes

Bei Zeng, Song Cheng, Zipeng Wu

arxiv:2304.08363 v3 · 2023-04-17 · 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{4WOG6OZFKJU6HE4YRDXQKDRXTP}

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

2 papers in Pith

Chutes and Ladders: Dynamical Automorphisms via the ZX-Calculus

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

Receipt and verification

First computed	2026-07-05T08:01:30.059816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59c6f3b255269e3939888ef050e379be4db108e831e0585729d462dedba4768

Aliases

arxiv: 2304.08363 · arxiv_version: 2304.08363v3 · doi: 10.48550/arxiv.2304.08363 · pith_short_12: 4WOG6OZFKJU6 · pith_short_16: 4WOG6OZFKJU6HE4Y · pith_short_8: 4WOG6OZF

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/4WOG6OZFKJU6HE4YRDXQKDRXTP \
  | 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: e59c6f3b255269e3939888ef050e379be4db108e831e0585729d462dedba4768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5aa5fb117398a29a617800edfa78f09a6a920039a4d9c2fb2dd621635fb0ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-04-17T15:24:28Z",
    "title_canon_sha256": "9d34f73ad1e8cbb0c88e433cca868ea2cd97f09da695953b9f5ec3f65c243ab6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.08363",
    "kind": "arxiv",
    "version": 3
  }
}