Pith Number

pith:3BMLIZ4S

pith:2008:3BMLIZ4SSY4PM2C7NNTR2MFU53

not attested not anchored not stored refs pending

Scaling Laws for Overlaid Wireless Networks: A Cognitive Radio Network vs. a Primary Network

Changchuan Yin, Long Gao, Shuguang Cui

arxiv:0805.1209 v1 · 2008-05-08 · cs.IT · cs.NI · 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{3BMLIZ4SSY4PM2C7NNTR2MFU53}

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	2026-07-04T15:11:27.054055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d858b467929638f6685f6b671d30b4eeec6d142c0608936fdc1e876b432b72af

Aliases

arxiv: 0805.1209 · arxiv_version: 0805.1209v1 · doi: 10.48550/arxiv.0805.1209 · pith_short_12: 3BMLIZ4SSY4P · pith_short_16: 3BMLIZ4SSY4PM2C7 · pith_short_8: 3BMLIZ4S

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/3BMLIZ4SSY4PM2C7NNTR2MFU53 \
  | 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: d858b467929638f6685f6b671d30b4eeec6d142c0608936fdc1e876b432b72af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4a98955473a60f8ad0f0367f934f02c5ff8b832d914276eead2cf00e218773",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-05-08T17:52:36Z",
    "title_canon_sha256": "36604b86f9ece3dfdab7bfa4c4a08a8a0905d55e98bf97e760946c9a9e3edfea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1209",
    "kind": "arxiv",
    "version": 1
  }
}