Pith Number

pith:KG2KPFT4

pith:2018:KG2KPFT4O5N4FEYTBRH27OT4TP

not attested not anchored not stored refs pending

Completeness of the ZX-calculus for Pure Qubit Clifford+T Quantum Mechanics

Kang Feng Ng, Quanlong Wang

arxiv:1801.07993 v2 · 2018-01-22 · quant-ph · 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{KG2KPFT4O5N4FEYTBRH27OT4TP}

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	2026-05-18T00:24:59.097210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b4a7967c775bc293130c4fafba7c9bdfbea0ffe0e6d810ae7bb29ff1daa5d2

Aliases

arxiv: 1801.07993 · arxiv_version: 1801.07993v2 · doi: 10.48550/arxiv.1801.07993 · pith_short_12: KG2KPFT4O5N4 · pith_short_16: KG2KPFT4O5N4FEYT · pith_short_8: KG2KPFT4

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/KG2KPFT4O5N4FEYTBRH27OT4TP \
  | 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: 51b4a7967c775bc293130c4fafba7c9bdfbea0ffe0e6d810ae7bb29ff1daa5d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c647e06f97c1918a0be47c7ab45c07582d559e45fbf940bc7504c6e5a0ed13",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-01-22T01:51:50Z",
    "title_canon_sha256": "decb765309a8b770c9cc0c66f9ca101851bbac31d7b2ce0fe97986d0943b328c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07993",
    "kind": "arxiv",
    "version": 2
  }
}