Pith Number

pith:5YS2SDYA

pith:2012:5YS2SDYAV6PIA3Y7QLUP72SOQ5

not attested not anchored not stored refs pending

On the strong converses for the quantum channel capacity theorems

Naqueeb Ahmad Warsi, Naresh Sharma

arxiv:1205.1712 v3 · 2012-05-08 · quant-ph · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YS2SDYAV6PIA3Y7QLUP72SOQ5}

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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

2 papers in Pith

Tighter Information-Theoretic Generalization Bounds via a Novel Class of Change of Measure Inequalities

Tight Contraction Rates for Primitive Channels under Quantum $f$-Divergences

Receipt and verification

First computed	2026-05-18T03:31:17.724235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee25a90f00af9e806f1f82e8ffea4e8746845d8d1dfcac37e956eaf1ab063cb9

Aliases

arxiv: 1205.1712 · arxiv_version: 1205.1712v3 · doi: 10.48550/arxiv.1205.1712 · pith_short_12: 5YS2SDYAV6PI · pith_short_16: 5YS2SDYAV6PIA3Y7 · pith_short_8: 5YS2SDYA

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/5YS2SDYAV6PIA3Y7QLUP72SOQ5 \
  | 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: ee25a90f00af9e806f1f82e8ffea4e8746845d8d1dfcac37e956eaf1ab063cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f19f4d593dbef5fbe3596cd449f2131827a6af1bf50e2187aba95224aa167c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-08T14:42:01Z",
    "title_canon_sha256": "f53b901eb3dc544a8bdb0799c011aa59e799f6567daf678450652a15753c9cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1712",
    "kind": "arxiv",
    "version": 3
  }
}