Pith Number

pith:LOBHO4XE

pith:2011:LOBHO4XEDHGKADUFDILWKFR6ON

not attested not anchored not stored refs pending

Entanglement distillation by extendible maps

Fernando G.S.L. Brandao, Graeme Smith, Lukasz Pankowski, Michal Horodecki

arxiv:1109.1779 v3 · 2011-09-08 · 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{LOBHO4XEDHGKADUFDILWKFR6ON}

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	2026-05-18T03:15:06.797267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b827772e419cca00e851a1765163e737fe95c5c59a9366b1805a488ed8bcdba

Aliases

arxiv: 1109.1779 · arxiv_version: 1109.1779v3 · doi: 10.48550/arxiv.1109.1779 · pith_short_12: LOBHO4XEDHGK · pith_short_16: LOBHO4XEDHGKADUF · pith_short_8: LOBHO4XE

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/LOBHO4XEDHGKADUFDILWKFR6ON \
  | 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: 5b827772e419cca00e851a1765163e737fe95c5c59a9366b1805a488ed8bcdba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829a7da06197a6edad8ca41b76e6f0dee0fd29f37b329a12cd9553db9350eb4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-08T17:20:02Z",
    "title_canon_sha256": "5809f30a01abfdebe867cb4d8264981671dfb34a3f35a8cb88bc8d5d3842d113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1779",
    "kind": "arxiv",
    "version": 3
  }
}