Pith Number

pith:5QG2NT74

pith:2017:5QG2NT7422I62OMCQW2SGKXMSH

not attested not anchored not stored refs pending

A universal completion of the ZX-calculus

Kang Feng Ng, Quanlong Wang

arxiv:1706.09877 v1 · 2017-06-29 · quant-ph · cs.LO · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QG2NT7422I62OMCQW2SGKXMSH}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:41:13.608132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0da6cffcd691ed398285b5232aec91db72335045424680661230cd3d35b414

Aliases

arxiv: 1706.09877 · arxiv_version: 1706.09877v1 · doi: 10.48550/arxiv.1706.09877 · pith_short_12: 5QG2NT7422I6 · pith_short_16: 5QG2NT7422I62OMC · pith_short_8: 5QG2NT74

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/5QG2NT7422I62OMCQW2SGKXMSH \
  | 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: ec0da6cffcd691ed398285b5232aec91db72335045424680661230cd3d35b414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ef59624b687d2c024bcf3ed78771ccd4db844289925a951b175cb1aaf0d7c5",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-06-29T17:41:56Z",
    "title_canon_sha256": "37f60c72f2ec60da26d162e24e672866500a784fbf2327f5e6f3e65ae2f28cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09877",
    "kind": "arxiv",
    "version": 1
  }
}