Pith Number

pith:U5MN5Z6X

pith:2003:U5MN5Z6XXEZQ2J2SFCQX776K3K

not attested not anchored not stored refs pending

Direct estimation of functionals of density operators by local operations and classical communication

Artur K. Ekert, Carolina Moura Alves, Daniel K. L. Oi, L. C. Kwek, Pawel Horodecki

arxiv:quant-ph/0304123 v1 · 2003-04-18 · 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{U5MN5Z6XXEZQ2J2SFCQX776K3K}

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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

Sharp Plucker Geometry for Three-Copy Werner Distillation

Receipt and verification

First computed	2026-07-04T14:46:10.050606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a758dee7d7b9330d275228a17fffcada9241825923311894dd20deda56ef3b80

Aliases

arxiv: quant-ph/0304123 · arxiv_version: quant-ph/0304123v1 · doi: 10.48550/arxiv.quant-ph/0304123 · pith_short_12: U5MN5Z6XXEZQ · pith_short_16: U5MN5Z6XXEZQ2J2S · pith_short_8: U5MN5Z6X

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/U5MN5Z6XXEZQ2J2SFCQX776K3K \
  | 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: a758dee7d7b9330d275228a17fffcada9241825923311894dd20deda56ef3b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c45b7beb072ec0de54ba90fea8a8d7456ff4478f56ca0c3c20a087cd9a846f6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-04-18T13:10:29Z",
    "title_canon_sha256": "d2f75c30dad5f0be2688022b8a672e0bd7673d674af228a6604b0d1fe132b4e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0304123",
    "kind": "arxiv",
    "version": 1
  }
}