Pith Number

pith:4IAI24NP

pith:2013:4IAI24NPNGZYC57TRFO47ZL3CF

not attested not anchored not stored refs pending

A Game Theory Interpretation for Multiple Access in Cognitive Radio Networks with Random Number of Secondary Users

Abdallah Shami, Oscar Filio Rodriguez, Serguei Primak, Valeri Kontorovich

arxiv:1305.5222 v1 · 2013-05-22 · cs.GT · 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{4IAI24NPNGZYC57TRFO47ZL3CF}

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	2026-05-18T03:25:05.297625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2008d71af69b38177f3895dcfe57b114f851679f4062803cd015eea90efc39d

Aliases

arxiv: 1305.5222 · arxiv_version: 1305.5222v1 · doi: 10.48550/arxiv.1305.5222 · pith_short_12: 4IAI24NPNGZY · pith_short_16: 4IAI24NPNGZYC57T · pith_short_8: 4IAI24NP

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/4IAI24NPNGZYC57TRFO47ZL3CF \
  | 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: e2008d71af69b38177f3895dcfe57b114f851679f4062803cd015eea90efc39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa80a5d4afc1df2f5782b1bf7a0c4604d2d98fbec39dcf754848fcd60828fc70",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-05-22T18:34:55Z",
    "title_canon_sha256": "5b5ecc31060c9d67b6419ab1e7f5962eb9569216451064a1d299e3ab0b6289aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5222",
    "kind": "arxiv",
    "version": 1
  }
}