Pith Number

pith:DQE4FLBW

pith:2003:DQE4FLBWALACQN4VEWP2KPOSPN

not attested not anchored not stored refs pending

Quantum Stein's lemma revisited, inequalities for quantum entropies, and a concavity theorem of Lieb

Igor Bjelakovic, Rainer Siegmund-Schultze

arxiv:quant-ph/0307170 v2 · 2003-07-24 · quant-ph · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQE4FLBWALACQN4VEWP2KPOSPN}

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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

Distributed Quantum Hypothesis Testing under Zero-rate Communication Constraints

Receipt and verification

First computed	2026-05-18T03:59:27.863023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c09c2ac3602c0283795259fa53dd27b7e63cf2caabec69dac5b28a5e27d304b

Aliases

arxiv: quant-ph/0307170 · arxiv_version: quant-ph/0307170v2 · doi: 10.48550/arxiv.quant-ph/0307170 · pith_short_12: DQE4FLBWALAC · pith_short_16: DQE4FLBWALACQN4V · pith_short_8: DQE4FLBW

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/DQE4FLBWALACQN4VEWP2KPOSPN \
  | 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: 1c09c2ac3602c0283795259fa53dd27b7e63cf2caabec69dac5b28a5e27d304b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2bab29b43fd0fba7610a3f7dd0813cf28841b81562373d43424b029223f3249",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-07-24T15:18:39Z",
    "title_canon_sha256": "a02ab9f9a4b52e70b07ad6e3432079d97315a3d0a3eadf3f4f90cb544513162b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0307170",
    "kind": "arxiv",
    "version": 2
  }
}