Pith Number

pith:O2X7BJ24

pith:2012:O2X7BJ24QZHA62RETZRP4ZR4BB

not attested not anchored not stored refs pending

Multi-user Diversity in Spectrum Sharing Systems over Fading Channels with Average Power Constraints

Fotis Foukalas, H. Vincent Poor, Tamer Khattab

arxiv:1212.0493 v2 · 2012-12-03 · 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{O2X7BJ24QZHA62RETZRP4ZR4BB}

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	2026-05-18T03:04:50.298722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76aff0a75c864e0f6a249e62fe663c0844d546bd26f6064d31c7157617cfaf98

Aliases

arxiv: 1212.0493 · arxiv_version: 1212.0493v2 · doi: 10.48550/arxiv.1212.0493 · pith_short_12: O2X7BJ24QZHA · pith_short_16: O2X7BJ24QZHA62RE · pith_short_8: O2X7BJ24

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/O2X7BJ24QZHA62RETZRP4ZR4BB \
  | 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: 76aff0a75c864e0f6a249e62fe663c0844d546bd26f6064d31c7157617cfaf98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec9995a6b8dc050fc19f37bb86f762698868af7e544a9858a2d3e6bee527742",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-03T19:15:10Z",
    "title_canon_sha256": "372f92c9021a021a552945a805e3be373e500abfb9a2016e6028d264761eb3a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0493",
    "kind": "arxiv",
    "version": 2
  }
}