Pith Number

pith:GML3ORJI

pith:2012:GML3ORJIPCKDZBWHRQUCB2ECYJ

not attested not anchored not stored refs pending

Optimal Pricing Effect on Equilibrium Behaviors of Delay-Sensitive Users in Cognitive Radio Networks

Choong Seon Hong, Nguyen H. Tran, Sungwon Lee, Zhu Han

arxiv:1212.3381 v1 · 2012-12-14 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GML3ORJIPCKDZBWHRQUCB2ECYJ}

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	2026-05-18T03:38:24.802539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3317b7452878943c86c78c2820e882c278582378a18ef0a20e306e7ac8387961

Aliases

arxiv: 1212.3381 · arxiv_version: 1212.3381v1 · doi: 10.48550/arxiv.1212.3381 · pith_short_12: GML3ORJIPCKD · pith_short_16: GML3ORJIPCKDZBWH · pith_short_8: GML3ORJI

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/GML3ORJIPCKDZBWHRQUCB2ECYJ \
  | 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: 3317b7452878943c86c78c2820e882c278582378a18ef0a20e306e7ac8387961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9863ee9839e70a5282f77c7d7d0939107931517b7d2b2068288361e8e864cb3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2012-12-14T02:09:37Z",
    "title_canon_sha256": "36d649d8b4861f7e3d798e0e77ae3088cb7b981c8747650b8ef49ab720ae151c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3381",
    "kind": "arxiv",
    "version": 1
  }
}