Pith Number

pith:3E67PA7F

pith:2000:3E67PA7FQDBGK6LZNWOBJM7VPR

not attested not anchored not stored refs pending

Three qubits can be entangled in two inequivalent ways

G. Vidal, J. I. Cirac, W. D\"ur

arxiv:quant-ph/0005115 v2 · 2000-05-26 · 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{3E67PA7FQDBGK6LZNWOBJM7VPR}

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

8 papers in Pith

Multi-entropy in heavy local quenches

Constraints on four-party entanglement in holography

Clifford Orbits from Cayley Graph Quotients

Exclusive Scattering Channels from Entanglement Structure in Real-Time Simulations

Receipt and verification

First computed	2026-07-04T16:22:21.708047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93df783e580c26579796d9c14b3f57c78511e11fb7204f4c4a796cf45146059

Aliases

arxiv: quant-ph/0005115 · arxiv_version: quant-ph/0005115v2 · doi: 10.48550/arxiv.quant-ph/0005115 · pith_short_12: 3E67PA7FQDBG · pith_short_16: 3E67PA7FQDBGK6LZ · pith_short_8: 3E67PA7F

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/3E67PA7FQDBGK6LZNWOBJM7VPR \
  | 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: d93df783e580c26579796d9c14b3f57c78511e11fb7204f4c4a796cf45146059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e441a0746c713c08c58ade2e00ecad4684166ce92708644a17796735011929",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-05-26T15:06:06Z",
    "title_canon_sha256": "d259a4762129b52b7155a9bbc1b38aecfc30a7af0f0b1e4752e79f102ca97585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0005115",
    "kind": "arxiv",
    "version": 2
  }
}