Pith Number

pith:ZUVAHWTS

pith:2012:ZUVAHWTSMEZUZQUTMUDPVUZODS

not attested not anchored not stored refs pending

Graph States, Pivot Minor, and Universality of (X,Z)-measurements

Mehdi Mhalla, Simon Perdrix

arxiv:1202.6551 v1 · 2012-02-29 · 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{ZUVAHWTSMEZUZQUTMUDPVUZODS}

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

1 paper in Pith

The Structure of Circle Graph States

Receipt and verification

First computed	2026-05-18T01:02:57.381571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd2a03da7261334cc2936506fad32e1cb6c756896559535a7316ede959716fb7

Aliases

arxiv: 1202.6551 · arxiv_version: 1202.6551v1 · doi: 10.48550/arxiv.1202.6551 · pith_short_12: ZUVAHWTSMEZU · pith_short_16: ZUVAHWTSMEZUZQUT · pith_short_8: ZUVAHWTS

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/ZUVAHWTSMEZUZQUTMUDPVUZODS \
  | 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: cd2a03da7261334cc2936506fad32e1cb6c756896559535a7316ede959716fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76191e6c01294c519c5b9fb4d378d965fc09920ad073dd26368c0e38173a505e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-02-29T14:13:57Z",
    "title_canon_sha256": "d62d329f9914a00055c568e51aa7807900004b71d5e32babdcf02781c61a7e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6551",
    "kind": "arxiv",
    "version": 1
  }
}