Pith Number

pith:W3BRBC6C

pith:2006:W3BRBC6C7BMKUJ26ROW3GKSQ6V

not attested not anchored not stored refs pending

Ergodic Classical-Quantum Channels: Structure and Coding Theorems

Holger Boche, Igor Bjelakovic

arxiv:quant-ph/0609229 v2 · 2006-09-29 · 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{W3BRBC6C7BMKUJ26ROW3GKSQ6V}

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.

Receipt and verification

First computed	2026-05-18T00:57:44.659801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c3108bc2f858aa275e8badb32a50f575d5aec21114dba361d05c1e2d4a6a8c

Aliases

arxiv: quant-ph/0609229 · arxiv_version: quant-ph/0609229v2 · doi: 10.48550/arxiv.quant-ph/0609229 · pith_short_12: W3BRBC6C7BMK · pith_short_16: W3BRBC6C7BMKUJ26 · pith_short_8: W3BRBC6C

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/W3BRBC6C7BMKUJ26ROW3GKSQ6V \
  | 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: b6c3108bc2f858aa275e8badb32a50f575d5aec21114dba361d05c1e2d4a6a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41bba149e72c7a9418f203da5e74ea33021cbd3047b746cd89431fb6988c68e8",
    "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": "2006-09-29T11:35:07Z",
    "title_canon_sha256": "fb77f1c8c80643438e9beb9761bc0159f14c1d964b1a5d3fb03dbe7d20df0f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0609229",
    "kind": "arxiv",
    "version": 2
  }
}