Pith Number

pith:U4H5YPKE

pith:2011:U4H5YPKEBHKE2QCZTZ32FWLTXC

not attested not anchored not stored refs pending

Power Allocation for Outage Minimization in Cognitive Radio Networks with Limited Feedback

Subhrakanti Dey, Yuan Yuan He

arxiv:1111.2640 v1 · 2011-11-11 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4H5YPKEBHKE2QCZTZ32FWLTXC}

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	2026-05-18T04:08:33.078021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70fdc3d4409d44d40599e77a2d973b89e484c00701e32117de864e85f42cf9c

Aliases

arxiv: 1111.2640 · arxiv_version: 1111.2640v1 · doi: 10.48550/arxiv.1111.2640 · pith_short_12: U4H5YPKEBHKE · pith_short_16: U4H5YPKEBHKE2QCZ · pith_short_8: U4H5YPKE

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/U4H5YPKEBHKE2QCZTZ32FWLTXC \
  | 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: a70fdc3d4409d44d40599e77a2d973b89e484c00701e32117de864e85f42cf9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3d20a09fb5e637afba9ecd35f177d651fdbf249d7d07d78377002f3619142d",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-11-11T01:19:57Z",
    "title_canon_sha256": "6f28c76d311fb4667ec8983f8286c95f25c72310e079ceeb5c09d457ea3dec17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2640",
    "kind": "arxiv",
    "version": 1
  }
}