Pith Number

pith:E7AFNQUB

pith:2010:E7AFNQUBJLOQVWDB6DJGG4YUXA

not attested not anchored not stored refs pending

Relative Entropy of Entanglement for Two-Qubit State with $z$-directional Bloch Vectors

DaeKil Park

arxiv:1005.4777 v1 · 2010-05-26 · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7AFNQUBJLOQVWDB6DJGG4YUXA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Receipt and verification

First computed	2026-05-18T04:30:03.802998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27c056c2814add0ad861f0d2637314b8383aa61c4a7b5bd9655a62cdfdd9aa07

Aliases

arxiv: 1005.4777 · arxiv_version: 1005.4777v1 · doi: 10.48550/arxiv.1005.4777 · pith_short_12: E7AFNQUBJLOQ · pith_short_16: E7AFNQUBJLOQVWDB · pith_short_8: E7AFNQUB

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/E7AFNQUBJLOQVWDB6DJGG4YUXA \
  | 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: 27c056c2814add0ad861f0d2637314b8383aa61c4a7b5bd9655a62cdfdd9aa07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358c8de26e5ce994096e2cc0fed90448606300278aae6d35ab76ccdc3afacf9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-05-26T10:11:20Z",
    "title_canon_sha256": "fe5dc08c2b2c11731e7b524665d261420fc2cf2f5a054209b06a892614fe86d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4777",
    "kind": "arxiv",
    "version": 1
  }
}