Pith Number

pith:SZJLID5B

pith:2003:SZJLID5BTBI4DNKD4WNZWBOKGO

not attested not anchored not stored refs pending

Tema Con Variazioni: Quantum Channel Capacity

Dennis Kretschmann, Reinhard F Werner

arxiv:quant-ph/0311037 v1 · 2003-11-06 · 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{SZJLID5BTBI4DNKD4WNZWBOKGO}

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	2026-07-04T16:43:17.765959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9652b40fa19851c1b543e59b9b05ca339f99c9e5ca307d2b76b1ee25e1f22182

Aliases

arxiv: quant-ph/0311037 · arxiv_version: quant-ph/0311037v1 · doi: 10.48550/arxiv.quant-ph/0311037 · pith_short_12: SZJLID5BTBI4 · pith_short_16: SZJLID5BTBI4DNKD · pith_short_8: SZJLID5B

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/SZJLID5BTBI4DNKD4WNZWBOKGO \
  | 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: 9652b40fa19851c1b543e59b9b05ca339f99c9e5ca307d2b76b1ee25e1f22182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7392562a63a9294a2b7836e598e4c0e59563c19218d2229b072bfe2541f7ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-11-06T18:41:25Z",
    "title_canon_sha256": "4fae907ad8baf2363bcade8798581d9c1a18af10937146c7ec93fcc972ec2b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0311037",
    "kind": "arxiv",
    "version": 1
  }
}