Pith Number

pith:OEUSPY2O

pith:2007:OEUSPY2OO4NPSFQX34HPXRCTHE

not attested not anchored not stored refs pending

Conditional Entanglement

Dong Yang, Michal Horodecki, Z. D. Wang

arxiv:quant-ph/0701149 v3 · 2007-01-21 · 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{OEUSPY2OO4NPSFQX34HPXRCTHE}

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

Additivity of quantum relative entropies as a single-copy criterion

Receipt and verification

First computed	2026-07-04T15:03:23.335383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712927e34e771af91617df0efbc45339200f1a62ab525474bc5a4ecafebaf831

Aliases

arxiv: quant-ph/0701149 · arxiv_version: quant-ph/0701149v3 · doi: 10.48550/arxiv.quant-ph/0701149 · pith_short_12: OEUSPY2OO4NP · pith_short_16: OEUSPY2OO4NPSFQX · pith_short_8: OEUSPY2O

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/OEUSPY2OO4NPSFQX34HPXRCTHE \
  | 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: 712927e34e771af91617df0efbc45339200f1a62ab525474bc5a4ecafebaf831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d27df30bcdc48f20e22cc5dc9d9b990072d1f5f3f897667cff285b57ed45702",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-21T14:45:27Z",
    "title_canon_sha256": "71fa2d7e8ae97bcc77abb3703f67f1b2b5ca1043543f6a5e6240f2a36314bb98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701149",
    "kind": "arxiv",
    "version": 3
  }
}