pith. sign in
Pith Number

pith:JLOJVF7V

pith:2013:JLOJVF7VYRIID6WR44LN3KIZ3P
not attested not anchored not stored refs pending

Cognitive Radio with Random Number of Secondary Number of Users

Cihan Tepedelenlioglu, Ruochen Zeng

arxiv:1310.1105 v1 · 2013-10-03 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JLOJVF7VYRIID6WR44LN3KIZ3P}

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 2026-05-18T03:11:23.568240Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4adc9a97f5c45081fad1e716dda919dbce0b676f1f3ec35e441115705dcb03ca

Aliases

arxiv: 1310.1105 · arxiv_version: 1310.1105v1 · doi: 10.48550/arxiv.1310.1105 · pith_short_12: JLOJVF7VYRII · pith_short_16: JLOJVF7VYRIID6WR · pith_short_8: JLOJVF7V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JLOJVF7VYRIID6WR44LN3KIZ3P \
  | 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: 4adc9a97f5c45081fad1e716dda919dbce0b676f1f3ec35e441115705dcb03ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b42a1f46982981182eaf6c47c39d88ccd4c9e5d5738d62ce73483de06a19a89",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-03T20:22:32Z",
    "title_canon_sha256": "7ae22dcc89eacb1a46c3acb92d717c388dfb813e3d532e424d56af98cb168f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1105",
    "kind": "arxiv",
    "version": 1
  }
}