Pith Number

pith:BEFOXSNT

pith:2009:BEFOXSNTTVLQUFQSR2H4KHYVOU

not attested not anchored not stored refs pending

Quantum Reverse Shannon Theorem

Andreas Winter, Aram W. Harrow, Charles H. Bennett, Igor Devetak, Peter W. Shor

arxiv:0912.5537 v5 · 2009-12-30 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEFOXSNTTVLQUFQSR2H4KHYVOU}

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

An Operational Framework for Nonclassicality in Quantum Communication Networks

Receipt and verification

First computed	2026-05-18T02:47:16.455256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090aebc9b39d570a16128e8fc51f1575257d4ae6bae8efaab50e5c797851b31b

Aliases

arxiv: 0912.5537 · arxiv_version: 0912.5537v5 · doi: 10.48550/arxiv.0912.5537 · pith_short_12: BEFOXSNTTVLQ · pith_short_16: BEFOXSNTTVLQUFQS · pith_short_8: BEFOXSNT

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/BEFOXSNTTVLQUFQSR2H4KHYVOU \
  | 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: 090aebc9b39d570a16128e8fc51f1575257d4ae6bae8efaab50e5c797851b31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855a724d0bebef4c72e3606ef7fbb45fdd191e991150fac4e02d0813313c2505",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-30T20:52:21Z",
    "title_canon_sha256": "4decbea72c7b5eb4f4fe0ec019fbddfa05428ecc2ec7ce557b9d6782377f0d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5537",
    "kind": "arxiv",
    "version": 5
  }
}