Pith Number

pith:EOJSOH34

pith:2013:EOJSOH344SI2CQEBW2HRW5Q57L

not attested not anchored not stored refs pending

A Pricing-Based Cooperative Spectrum Sharing Stackelberg Game

Fadel F. Digham, Karim G. Seddik, Mohammed Nafie, Ramy E. Ali

arxiv:1312.5555 v3 · 2013-12-19 · cs.NI · 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{EOJSOH344SI2CQEBW2HRW5Q57L}

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	2026-05-18T00:58:12.121602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2393271f7ce491a14081b68f1b761dfaf2b3bc80aa8c68d88f5610b51a195c6a

Aliases

arxiv: 1312.5555 · arxiv_version: 1312.5555v3 · doi: 10.48550/arxiv.1312.5555 · pith_short_12: EOJSOH344SI2 · pith_short_16: EOJSOH344SI2CQEB · pith_short_8: EOJSOH34

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/EOJSOH344SI2CQEBW2HRW5Q57L \
  | 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: 2393271f7ce491a14081b68f1b761dfaf2b3bc80aa8c68d88f5610b51a195c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8356a379a584d884727f6611e3543abef8f7aba292bc2c65962dec563e7cea62",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2013-12-19T14:09:10Z",
    "title_canon_sha256": "e8f154fd4ca5aacc89328b2501f6fbd6f65ff85169191a3286ca4f8abcda5432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5555",
    "kind": "arxiv",
    "version": 3
  }
}