Pith Number

pith:3XATSLIC

pith:2011:3XATSLICBVPL7LLYWDEEKEK2BW

not attested not anchored not stored refs pending

Capacity results for compound wiretap channels

Holger Boche, Igor Bjelakovi\'c, Jochen Sommerfeld

arxiv:1103.0135 v2 · 2011-03-01 · 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{3XATSLICBVPL7LLYWDEEKEK2BW}

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	2026-05-18T04:15:59.377622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc1392d020d5ebfad78b0c845115a0d9ab9e258f1eab97a610b1e8f4fac69ac

Aliases

arxiv: 1103.0135 · arxiv_version: 1103.0135v2 · doi: 10.48550/arxiv.1103.0135 · pith_short_12: 3XATSLICBVPL · pith_short_16: 3XATSLICBVPL7LLY · pith_short_8: 3XATSLIC

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/3XATSLICBVPL7LLYWDEEKEK2BW \
  | 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: ddc1392d020d5ebfad78b0c845115a0d9ab9e258f1eab97a610b1e8f4fac69ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e16b8dd06ccad6364834f7ef9e87a3f6b14c9175ace834f906a4a980258b932",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-03-01T11:06:12Z",
    "title_canon_sha256": "ddd8170021999f3c8f513794488ef440a96e923bddcec14cdebb2e15ebd65351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0135",
    "kind": "arxiv",
    "version": 2
  }
}