Pith Number

pith:BGA2DXCX

pith:2010:BGA2DXCXVBA7NU4GUIYFQR52WS

not attested not anchored not stored refs pending

Power Allocation and Spectrum Sharing in Multi-User, Multi-Channel Systems with Strategic Users

Ali Kakhbod, Demosthenis Teneketzis

arxiv:1006.0195 v4 · 2010-06-01 · math.OC · 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{BGA2DXCXVBA7NU4GUIYFQR52WS}

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	2026-05-18T04:02:50.582549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0981a1dc57a841f6d386a2305847bab485d33a9571ac897fded36cf1473c67b5

Aliases

arxiv: 1006.0195 · arxiv_version: 1006.0195v4 · doi: 10.48550/arxiv.1006.0195 · pith_short_12: BGA2DXCXVBA7 · pith_short_16: BGA2DXCXVBA7NU4G · pith_short_8: BGA2DXCX

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/BGA2DXCXVBA7NU4GUIYFQR52WS \
  | 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: 0981a1dc57a841f6d386a2305847bab485d33a9571ac897fded36cf1473c67b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a1f8e0cad9bd64ae9ee3433cacc3290eccea8791dad1bb468e0163a18f20a0",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-06-01T17:39:14Z",
    "title_canon_sha256": "c9e2cd242f7010702007636d5ea989aa44fc1c785edde2d2e322137b09afc5a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0195",
    "kind": "arxiv",
    "version": 4
  }
}