Pith Number

pith:XPE7N2MI

pith:2015:XPE7N2MISETZ4AXUM7ST2WEOHJ

not attested not anchored not stored refs pending

Spectrum Sharing in RF-Powered Cognitive Radio Networks using Game Theory

Branka Vucetic, He Chen, Xu Li, Yuanye Ma, Zihuai Lin

arxiv:1510.02851 v1 · 2015-10-09 · 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{XPE7N2MISETZ4AXUM7ST2WEOHJ}

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	2026-05-18T01:30:33.589634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc9f6e98891279e02f467e53d588e3a698f8a12c9ebf575bc28c12bb1247892

Aliases

arxiv: 1510.02851 · arxiv_version: 1510.02851v1 · doi: 10.48550/arxiv.1510.02851 · pith_short_12: XPE7N2MISETZ · pith_short_16: XPE7N2MISETZ4AXU · pith_short_8: XPE7N2MI

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/XPE7N2MISETZ4AXUM7ST2WEOHJ \
  | 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: bbc9f6e98891279e02f467e53d588e3a698f8a12c9ebf575bc28c12bb1247892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eea51cb7e78ec704ea7c559560f4b2fbfcc3bda8f7b72289e8f785838f40cbe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-09T23:38:56Z",
    "title_canon_sha256": "dc9388905103f58bf9840ef364619aa9a5c91b508597dce7496b3d28b71a3eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02851",
    "kind": "arxiv",
    "version": 1
  }
}