Pith Number

pith:BAO56OOO

pith:2013:BAO56OOOYOXXO27ZZEWG5DEVRT

not attested not anchored not stored refs pending

Optimal Primary-Secondary user Cooperation Policies in Cognitive Radio Networks

Evangelia Matskani, Iordanis Koutsopoulos, Leandros Tassiulas, Leonidas Georgiadis, Nestor Chatzidiamantis

arxiv:1307.5613 v2 · 2013-07-22 · cs.NI · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAO56OOOYOXXO27ZZEWG5DEVRT}

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	2026-05-18T02:30:47.716831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

081ddf39cec3af776bf9c92c6e8c958cff56ed76d6b173c4c73b544c27c1a22f

Aliases

arxiv: 1307.5613 · arxiv_version: 1307.5613v2 · doi: 10.48550/arxiv.1307.5613 · pith_short_12: BAO56OOOYOXX · pith_short_16: BAO56OOOYOXXO27Z · pith_short_8: BAO56OOO

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/BAO56OOOYOXXO27ZZEWG5DEVRT \
  | 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: 081ddf39cec3af776bf9c92c6e8c958cff56ed76d6b173c4c73b544c27c1a22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdf5989073c3c5085b4580ebae02ac1bf60fc2b9319cb6ab6509c86e505de75",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2013-07-22T07:56:25Z",
    "title_canon_sha256": "f3423b1f3cfac7041f52a94a6fd0bda3c42aaf16fe88df9c10bcc7f380dfdc12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5613",
    "kind": "arxiv",
    "version": 2
  }
}