Pith Number

pith:6PE6G4FV

pith:2010:6PE6G4FVYJVHH6UUVMC2M3Z6I5

not attested not anchored not stored refs pending

Difficulties in analytic computation for relative entropy of entanglement

DaeKil Park, Eylee Jung, Hungsoo Kim, Mi-Ra Hwang

arxiv:1002.4695 v2 · 2010-02-25 · 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{6PE6G4FVYJVHH6UUVMC2M3Z6I5}

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

Relative entropy of entanglement of Haar random states

Receipt and verification

First computed	2026-05-18T02:08:57.027112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c9e370b5c26a73fa94ab05a66f3e474354fe2f6b89655c5f199cbccca53ee3

Aliases

arxiv: 1002.4695 · arxiv_version: 1002.4695v2 · doi: 10.48550/arxiv.1002.4695 · pith_short_12: 6PE6G4FVYJVH · pith_short_16: 6PE6G4FVYJVHH6UU · pith_short_8: 6PE6G4FV

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/6PE6G4FVYJVHH6UUVMC2M3Z6I5 \
  | 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: f3c9e370b5c26a73fa94ab05a66f3e474354fe2f6b89655c5f199cbccca53ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c83d1e7be7f712a88c5883528b79a96d27adfa286dc56254e5647af8c7fd40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-02-25T05:57:51Z",
    "title_canon_sha256": "7d91441d7307a91118ef60a969c423ddcf10434128895fa10f370d9b8ccec4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4695",
    "kind": "arxiv",
    "version": 2
  }
}