Pith Number

pith:ECY7A73O

pith:2005:ECY7A73O7HY5SIQ6LI2HPESP4E

not attested not anchored not stored refs pending

Are quantum correlations symmetric ?

Karol Horodecki, Michal Horodecki, Pawel Horodecki

arxiv:quant-ph/0512224 v1 · 2005-12-23 · 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{ECY7A73O7HY5SIQ6LI2HPESP4E}

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.

Receipt and verification

First computed	2026-07-04T14:52:25.315489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b1f07f6ef9f1d9221e5a3477924fe11c1d32ea3c0418f59ced151841163571

Aliases

arxiv: quant-ph/0512224 · arxiv_version: quant-ph/0512224v1 · doi: 10.48550/arxiv.quant-ph/0512224 · pith_short_12: ECY7A73O7HY5 · pith_short_16: ECY7A73O7HY5SIQ6 · pith_short_8: ECY7A73O

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/ECY7A73O7HY5SIQ6LI2HPESP4E \
  | 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: 20b1f07f6ef9f1d9221e5a3477924fe11c1d32ea3c0418f59ced151841163571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d185116854927cd14930a19bc1bba857cad0b90ce116f258ed6baabad39e0d8c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-12-23T22:26:40Z",
    "title_canon_sha256": "b7309e511ff9e3d789ae8e0b9363861382a963b850e4c025fe9e182502d8c87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0512224",
    "kind": "arxiv",
    "version": 1
  }
}