Pith Number

pith:7BIR7UNE

pith:2001:7BIR7UNEWL74FH5SCSYTBGQXG2

not attested not anchored not stored refs pending

A Thermodynamical Approach to Quantifying Quantum Correlations

Jonathan Oppenheim, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/0112074 v3 · 2001-12-12 · quant-ph · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BIR7UNEWL74FH5SCSYTBGQXG2}

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	2026-07-04T16:29:44.565339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8511fd1a4b2ffc29fb214b1309a1736b86b86d1abd2332e9dbc79a4e608ac77

Aliases

arxiv: quant-ph/0112074 · arxiv_version: quant-ph/0112074v3 · doi: 10.48550/arxiv.quant-ph/0112074 · pith_short_12: 7BIR7UNEWL74 · pith_short_16: 7BIR7UNEWL74FH5S · pith_short_8: 7BIR7UNE

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/7BIR7UNEWL74FH5SCSYTBGQXG2 \
  | 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: f8511fd1a4b2ffc29fb214b1309a1736b86b86d1abd2332e9dbc79a4e608ac77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc35fb46ebdad0c8f42975fddcccac66f373379563e2a13acd971cf1a7280a5",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-12-12T19:43:20Z",
    "title_canon_sha256": "715feed90b4f92dc9e1e0f161f9c30034c282763632a866e98ec1defb002862e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0112074",
    "kind": "arxiv",
    "version": 3
  }
}