Pith Number

pith:T7FROCLZ

pith:2001:T7FROCLZ3PF54FPU4G2R6XSRBX

not attested not anchored not stored refs pending

The Role of Relative Entropy in Quantum Information Theory

V. Vedral

arxiv:quant-ph/0102094 v1 · 2001-02-19 · 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{T7FROCLZ3PF54FPU4G2R6XSRBX}

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

3 papers in Pith

Relative entropy for $\lambda \phi^4$ in the Rindler wedge

Quantifying Entanglement via Quantum Wasserstein Distances

Spherically symmetric black holes in Gravity from Entropy and spontaneous emission

Receipt and verification

First computed	2026-07-04T16:28:54.792239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcb170979dbcbde15f4e1b51f5e510df8ba6e3765419cd6dddbf04fc0a8f335

Aliases

arxiv: quant-ph/0102094 · arxiv_version: quant-ph/0102094v1 · doi: 10.48550/arxiv.quant-ph/0102094 · pith_short_12: T7FROCLZ3PF5 · pith_short_16: T7FROCLZ3PF54FPU · pith_short_8: T7FROCLZ

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/T7FROCLZ3PF54FPU4G2R6XSRBX \
  | 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: 9fcb170979dbcbde15f4e1b51f5e510df8ba6e3765419cd6dddbf04fc0a8f335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5a9268ed9925a14023be4bb598b7295a5d45026f2e6bb46349ed9cc86bcb53",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-02-19T16:02:44Z",
    "title_canon_sha256": "7c8b651f7a42c7b3ba0012bb4c80cad0c3870963d5073b0a763de9fdf454af65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0102094",
    "kind": "arxiv",
    "version": 1
  }
}