Pith Number

pith:GGSZ77M7

pith:2011:GGSZ77M7GI6D6DRCSFVNXUAAJW

not attested not anchored not stored refs pending

Spectrum Leasing as an Incentive towards Uplink Macrocell and Femtocell Cooperation

Francesco Pantisano, Mehdi Bennis, M\'erouane Debbah, Walid Saad

arxiv:1111.0503 v1 · 2011-11-02 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGSZ77M7GI6D6DRCSFVNXUAAJW}

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	2026-05-18T00:59:10.059390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a59ffd9f323c3f0e22916adbd0004db8872bb450352467a8e1d43e4d935744

Aliases

arxiv: 1111.0503 · arxiv_version: 1111.0503v1 · doi: 10.48550/arxiv.1111.0503 · pith_short_12: GGSZ77M7GI6D · pith_short_16: GGSZ77M7GI6D6DRC · pith_short_8: GGSZ77M7

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/GGSZ77M7GI6D6DRCSFVNXUAAJW \
  | 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: 31a59ffd9f323c3f0e22916adbd0004db8872bb450352467a8e1d43e4d935744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316169990ff7296408341122a2a67c85315dd35e1d3258e8c98073faada4078e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-11-02T13:54:08Z",
    "title_canon_sha256": "5a7ae49f7e676249a1d12744f20627b0f5838896ec5d1dbf820859ad0787f6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0503",
    "kind": "arxiv",
    "version": 1
  }
}