Pith Number

pith:NFV3O4QY

pith:2000:NFV3O4QYT3DWU7S3XIGKW2FGHY

not attested not anchored not stored refs pending

A semidefinite program for distillable entanglement

Eric M. Rains

arxiv:quant-ph/0008047 v2 · 2000-08-10 · 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{NFV3O4QYT3DWU7S3XIGKW2FGHY}

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

Semidefinite optimization of the quantum relative entropy of channels

Receipt and verification

First computed	2026-07-04T14:45:30.876223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309

Aliases

arxiv: quant-ph/0008047 · arxiv_version: quant-ph/0008047v2 · doi: 10.48550/arxiv.quant-ph/0008047 · pith_short_12: NFV3O4QYT3DW · pith_short_16: NFV3O4QYT3DWU7S3 · pith_short_8: NFV3O4QY

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/NFV3O4QYT3DWU7S3XIGKW2FGHY \
  | 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: 696bb772189ec76a7e5bba0cab68a63e37af84ed5aabf73428bcd159db4a6309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5024706179ee8e24b9a08c961768f157e9941389c855111846b15a6670593ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-08-10T02:17:36Z",
    "title_canon_sha256": "be6f51a4dd51ba31e434811bed02382ed0b3be54dce3aeb6decd4cc112dfc57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0008047",
    "kind": "arxiv",
    "version": 2
  }
}