Pith Number

pith:NKT45MFQ

pith:2023:NKT45MFQDIZ3UHSZMOFMRWA4EH

not attested not anchored not stored refs pending

Phase transition in Stabilizer Entropy and efficient purity estimation

Alioscia Hamma, Gianluca Esposito, Lorenzo Leone, Salvatore F. E. Oliviero

arxiv:2302.07895 v3 · 2023-02-15 · 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{NKT45MFQDIZ3UHSZMOFMRWA4EH}

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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

Long-range nonstabilizerness of topologically encoded states from mutual information

Receipt and verification

First computed	2026-07-05T07:52:08.609725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa7ceb0b01a33ba1e59638ac8d81c21ca598df0f70b0b2d7b39e5f2f2ab21af

Aliases

arxiv: 2302.07895 · arxiv_version: 2302.07895v3 · doi: 10.48550/arxiv.2302.07895 · pith_short_12: NKT45MFQDIZ3 · pith_short_16: NKT45MFQDIZ3UHSZ · pith_short_8: NKT45MFQ

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/NKT45MFQDIZ3UHSZMOFMRWA4EH \
  | 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: 6aa7ceb0b01a33ba1e59638ac8d81c21ca598df0f70b0b2d7b39e5f2f2ab21af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bb15abdbea0699b17cdeef5e723d3cf090609cafdac41920da047a2fbb3084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-02-15T19:00:02Z",
    "title_canon_sha256": "3e5651f8a8b7ac848e2dc81cbcdb453c7f7ada9b469389747afff8e2abe31b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07895",
    "kind": "arxiv",
    "version": 3
  }
}