Pith Number

pith:3BTXDYAD

pith:2012:3BTXDYADUPPGTN6ZC6VSE6TRLH

not attested not anchored not stored refs pending

Optimal Spectrum Access for Cognitive Radios

Ahmed El Shafie

arxiv:1208.4508 v5 · 2012-08-22 · 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{3BTXDYADUPPGTN6ZC6VSE6TRLH}

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	2026-05-18T03:30:02.620648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86771e003a3de69b7d917ab227a7159e4d76d58b9472ee6deb74bd0939e32a8

Aliases

arxiv: 1208.4508 · arxiv_version: 1208.4508v5 · doi: 10.48550/arxiv.1208.4508 · pith_short_12: 3BTXDYADUPPG · pith_short_16: 3BTXDYADUPPGTN6Z · pith_short_8: 3BTXDYAD

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/3BTXDYADUPPGTN6ZC6VSE6TRLH \
  | 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: d86771e003a3de69b7d917ab227a7159e4d76d58b9472ee6deb74bd0939e32a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf477ba37e7d23d350017373b549f727896f9f2d1ffdd264f9a50b4ab5fdcbd",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-22T14:31:17Z",
    "title_canon_sha256": "9c60cef0a473198dc63d8033b6333c91109575c536727bc3b5ce8e1ce6cc2236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4508",
    "kind": "arxiv",
    "version": 5
  }
}