Pith Number

pith:LRU4WVTQ

pith:2010:LRU4WVTQX5XP4STSXMVSLUQH6X

not attested not anchored not stored refs pending

Optimal Bandwidth and Power Allocation for Sum Ergodic Capacity under Fading Channels in Cognitive Radio Networks

Chintha Tellambura, Sergiy A. Vorobyov, Xiaowen Gong

arxiv:1006.5061 v1 · 2010-06-25 · 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{LRU4WVTQX5XP4STSXMVSLUQH6X}

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	2026-05-18T02:06:42.272527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c69cb5670bf6efe4a72bb2b25d207f5f4f55a768502ceffd0bdbe4c6cb0fbd6

Aliases

arxiv: 1006.5061 · arxiv_version: 1006.5061v1 · doi: 10.48550/arxiv.1006.5061 · pith_short_12: LRU4WVTQX5XP · pith_short_16: LRU4WVTQX5XP4STS · pith_short_8: LRU4WVTQ

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/LRU4WVTQX5XP4STSXMVSLUQH6X \
  | 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: 5c69cb5670bf6efe4a72bb2b25d207f5f4f55a768502ceffd0bdbe4c6cb0fbd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6029308f579c249b8d31660f562ecd27fbfb1a83defc9789ee149ec5c78a91de",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-06-25T20:30:48Z",
    "title_canon_sha256": "76838ca067d6ad1754a20418e7f12f37ac1618ecaf0e6a105480fc2741bd080c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5061",
    "kind": "arxiv",
    "version": 1
  }
}