Pith Number

pith:CKG2GCSF

pith:2013:CKG2GCSFGL562HMJXE33QYPUUJ

not attested not anchored not stored refs pending

"Pretty strong" converse for the quantum capacity of degradable channels

Andreas Winter, Ciara Morgan

arxiv:1301.4927 v3 · 2013-01-21 · 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{CKG2GCSFGL562HMJXE33QYPUUJ}

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

Sharp Quantum Capacity Thresholds: Exponential Strong Converses for Degradable and Antidegradable Channels

Receipt and verification

First computed	2026-05-18T03:04:06.639017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128da30a4532fbed1d89b937b861f4a27e88d816f0cc846138d415ad5b402997

Aliases

arxiv: 1301.4927 · arxiv_version: 1301.4927v3 · doi: 10.48550/arxiv.1301.4927 · pith_short_12: CKG2GCSFGL56 · pith_short_16: CKG2GCSFGL562HMJ · pith_short_8: CKG2GCSF

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/CKG2GCSFGL562HMJXE33QYPUUJ \
  | 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: 128da30a4532fbed1d89b937b861f4a27e88d816f0cc846138d415ad5b402997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebd71ac47342e819974cdcb7ca5588243af94fa0d694b43ebd349d70453bba6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-21T17:01:06Z",
    "title_canon_sha256": "8c5e01a9e149e75c11feb761a85a687c4274030a7bde8223ad078a4372b2c129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4927",
    "kind": "arxiv",
    "version": 3
  }
}