Pith Number

pith:T6ZK3R5P

pith:2004:T6ZK3R5PPTTUHMRN425NDAGIYC

not attested not anchored not stored refs pending

Entanglement in the stabilizer formalism

David Fattal, Isaac L. Chuang, Sergey Bravyi, Toby S. Cubitt, Yoshihisa Yamamoto

arxiv:quant-ph/0406168 v1 · 2004-06-23 · 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{T6ZK3R5PPTTUHMRN425NDAGIYC}

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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

25 papers in Pith

Efficiently simulable quantum circuits with large entanglement, magic, and non-Gaussianity via code-compiled tensor networks

Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements

Genuine Multi-Entropy in the Toric Code

Typical Entanglement of Superpositions

A five-qubit 1-resistant graph state and stabilizer marginal certificates

Receipt and verification

First computed	2026-07-04T14:46:37.020212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb2adc7af7ce743b22de6bad180c8c0af06f35c352e03a532a733862801b5a2

Aliases

arxiv: quant-ph/0406168 · arxiv_version: quant-ph/0406168v1 · doi: 10.48550/arxiv.quant-ph/0406168 · pith_short_12: T6ZK3R5PPTTU · pith_short_16: T6ZK3R5PPTTUHMRN · pith_short_8: T6ZK3R5P

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/T6ZK3R5PPTTUHMRN425NDAGIYC \
  | 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: 9fb2adc7af7ce743b22de6bad180c8c0af06f35c352e03a532a733862801b5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f0fa28bc10b5b9715f70226bf29d4b7110ee002389bed0c5db3231a0b9d1f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-06-23T03:21:59Z",
    "title_canon_sha256": "83b9d30f0c8d31bb02187f7883d6ee5e2d8d8094ff07b2e3b0b5ad4ee8c7a388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0406168",
    "kind": "arxiv",
    "version": 1
  }
}