pith. sign in
Pith Number

pith:4MO4L4SS

pith:2011:4MO4L4SSMMT4KHOUMDNKX7AUQV
not attested not anchored not stored refs pending

Optimal Power Control for Concurrent Transmissions of Location-aware Mobile Cognitive Radio Ad Hoc Networks

Jiang Xie, Yi Song

arxiv:1105.0022 v2 · 2011-04-29 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4MO4L4SSMMT4KHOUMDNKX7AUQV}

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 2026-05-18T04:23:11.359194Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e31dc5f2526327c51dd460daabfc14855e0c84b198c59e8abf48393ddf5de45c

Aliases

arxiv: 1105.0022 · arxiv_version: 1105.0022v2 · doi: 10.48550/arxiv.1105.0022 · pith_short_12: 4MO4L4SSMMT4 · pith_short_16: 4MO4L4SSMMT4KHOU · pith_short_8: 4MO4L4SS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4MO4L4SSMMT4KHOUMDNKX7AUQV \
  | 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: e31dc5f2526327c51dd460daabfc14855e0c84b198c59e8abf48393ddf5de45c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "616dbe3af50babf6c67b152f3cd55e1810703b9eb24510a38a76737b16148ca7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-04-29T21:32:45Z",
    "title_canon_sha256": "6030ca4eaf8df60e70be170e6f5ea6ffa0825c5b18515abd8d937b1cb847b92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0022",
    "kind": "arxiv",
    "version": 2
  }
}