Pith Number

pith:ESAU5VKO

pith:2001:ESAU5VKOPBUQMMDK7FT42YTEHR

not attested not anchored not stored refs pending

Quantum Data Compression of Ensembles of Mixed States with Commuting Density Operators

Gerhard Kramer, Serap A. Savari (Bell Labs)

arxiv:quant-ph/0101119 v1 · 2001-01-24 · 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{ESAU5VKOPBUQMMDK7FT42YTEHR}

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

Empirical Coordination of Quantum Correlations

Receipt and verification

First computed	2026-07-04T14:45:35.246594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24814ed54e786906306af967cd62643c6f9dea57369ee359d69ee4f5b0574b4c

Aliases

arxiv: quant-ph/0101119 · arxiv_version: quant-ph/0101119v1 · doi: 10.48550/arxiv.quant-ph/0101119 · pith_short_12: ESAU5VKOPBUQ · pith_short_16: ESAU5VKOPBUQMMDK · pith_short_8: ESAU5VKO

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/ESAU5VKOPBUQMMDK7FT42YTEHR \
  | 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: 24814ed54e786906306af967cd62643c6f9dea57369ee359d69ee4f5b0574b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eaf3766d9d858db4d0286f4a1d4ea77f89348f47fed4964999221dd437f8050",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-01-24T00:08:13Z",
    "title_canon_sha256": "c844059e58126bac5c40c845fceaae654d50e9690e9d6a852b28603278b231e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0101119",
    "kind": "arxiv",
    "version": 1
  }
}