Pith Number

pith:GNNZ5O5L

pith:2012:GNNZ5O5LAMAY3VEPTQFFNMVLPR

not attested not anchored not stored refs pending

Capacity Theorems for the Cognitive Radio Channel with Confidential Messages

Reza Ebrahimpour, Reza K. Farsani

arxiv:1207.5040 v3 · 2012-07-20 · 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{GNNZ5O5LAMAY3VEPTQFFNMVLPR}

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	2026-05-18T02:58:32.817441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335b9ebbab03018dd48f9c0a56b2ab7c5bc70f1ca8486f0a6d5d369cd11d44e8

Aliases

arxiv: 1207.5040 · arxiv_version: 1207.5040v3 · doi: 10.48550/arxiv.1207.5040 · pith_short_12: GNNZ5O5LAMAY · pith_short_16: GNNZ5O5LAMAY3VEP · pith_short_8: GNNZ5O5L

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/GNNZ5O5LAMAY3VEPTQFFNMVLPR \
  | 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: 335b9ebbab03018dd48f9c0a56b2ab7c5bc70f1ca8486f0a6d5d369cd11d44e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a94eef386f94383a00d66254af340202bdf08ad54b93f9ef96b77d3b27ebcd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-20T19:57:59Z",
    "title_canon_sha256": "44718876fd0d147890a683edbc123243112d93ff3eca44c85cf7392b61894ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5040",
    "kind": "arxiv",
    "version": 3
  }
}