Pith Number

pith:NBB4V6WK

pith:2010:NBB4V6WKAGFVRH5WOUTJJ3YSQQ

not attested not anchored not stored refs pending

Dynamic Resource Allocation in Cognitive Radio Networks: A Convex Optimization Perspective

Rui Zhang, Shuguang Cui, Ying-Chang Liang

arxiv:1001.3187 v1 · 2010-01-19 · 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{NBB4V6WKAGFVRH5WOUTJJ3YSQQ}

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	2026-05-18T00:58:47.758169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6843cafaca018b589fb6752694ef12842fb72d74b1dea5d76f14c1d989f0fbfd

Aliases

arxiv: 1001.3187 · arxiv_version: 1001.3187v1 · doi: 10.48550/arxiv.1001.3187 · pith_short_12: NBB4V6WKAGFV · pith_short_16: NBB4V6WKAGFVRH5W · pith_short_8: NBB4V6WK

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/NBB4V6WKAGFVRH5WOUTJJ3YSQQ \
  | 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: 6843cafaca018b589fb6752694ef12842fb72d74b1dea5d76f14c1d989f0fbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de821f26b06f6244f15560dcf4743a304c2f58fbc21cd096cfa75636f6c182e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-19T03:11:46Z",
    "title_canon_sha256": "e1b292484befe8c6a65cdfe55dd29a29f7a87e14b4afdd1c9bedebf1a905787b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3187",
    "kind": "arxiv",
    "version": 1
  }
}