Pith Number

pith:5KGW4ITG

pith:2011:5KGW4ITGRGJSEQCCDX5RFPZGEI

not attested not anchored not stored refs pending

Distributed Uplink Resource Allocation in Cognitive Radio Networks -- Part I: Equilibria and Algorithms for Power Allocation

Alfredo Garcia, Mingyi Hong, Stephen Wilson

arxiv:1102.1959 v2 · 2011-02-09 · 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{5KGW4ITGRGJSEQCCDX5RFPZGEI}

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	2026-05-18T04:29:34.483591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8d6e226689932240421dfb12bf26220b1da082f07331497c915e729e4ef7b4

Aliases

arxiv: 1102.1959 · arxiv_version: 1102.1959v2 · doi: 10.48550/arxiv.1102.1959 · pith_short_12: 5KGW4ITGRGJS · pith_short_16: 5KGW4ITGRGJSEQCC · pith_short_8: 5KGW4ITG

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/5KGW4ITGRGJSEQCCDX5RFPZGEI \
  | 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: ea8d6e226689932240421dfb12bf26220b1da082f07331497c915e729e4ef7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f151cdbdc50b6d1d0c3cbced96ad9ac88569a9fdad0a80240b781d0b129f2a2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-02-09T20:27:57Z",
    "title_canon_sha256": "636fe4ab3fb12cf01920d37af6640dbd9f2e124eba7c9b16a317e8add891bf5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1959",
    "kind": "arxiv",
    "version": 2
  }
}