Pith Number

pith:2D5SPVQW

pith:2001:2D5SPVQWUMYATK5223WKKWXALU

not attested not anchored not stored refs pending

Mixed-state entanglement and quantum communication

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/0109124 v1 · 2001-09-25 · 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{2D5SPVQWUMYATK5223WKKWXALU}

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

Distribution Relationship of Quantum Battery Capacity

Receipt and verification

First computed	2026-07-04T14:45:42.240736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fb27d616a33009abbad6eca55ae05d23938594b8a2e92109c39c1a5c79dba1

Aliases

arxiv: quant-ph/0109124 · arxiv_version: quant-ph/0109124v1 · doi: 10.48550/arxiv.quant-ph/0109124 · pith_short_12: 2D5SPVQWUMYA · pith_short_16: 2D5SPVQWUMYATK52 · pith_short_8: 2D5SPVQW

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/2D5SPVQWUMYATK5223WKKWXALU \
  | 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: d0fb27d616a33009abbad6eca55ae05d23938594b8a2e92109c39c1a5c79dba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32ee502042620a68ec0811073c895f3e70f1c9ee97ed057ee7e7a6901c992b1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-25T10:57:02Z",
    "title_canon_sha256": "0d240ff8468a1dadf967a9f7166bfb8f5f64fece474eab2930ebe16496b97149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109124",
    "kind": "arxiv",
    "version": 1
  }
}