Pith Number

pith:4MBJVPVL

pith:2018:4MBJVPVLZCZ3MIHGGIPNM7MVDW

not attested not anchored not stored refs pending

Power Control via Stackelberg Game for Small-Cell Networks

Fu-Chun Zheng, Hui Ge, Mehdi Bennis, Xiaohu You, Yanxiang Jiang

arxiv:1802.04775 v2 · 2018-02-13 · cs.IT · 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{4MBJVPVLZCZ3MIHGGIPNM7MVDW}

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	2026-05-17T23:52:53.443000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3029abeabc8b3b620e6321ed67d951d97a27cdf2c3147c8683277014fc36d01

Aliases

arxiv: 1802.04775 · arxiv_version: 1802.04775v2 · doi: 10.48550/arxiv.1802.04775 · pith_short_12: 4MBJVPVLZCZ3 · pith_short_16: 4MBJVPVLZCZ3MIHG · pith_short_8: 4MBJVPVL

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/4MBJVPVLZCZ3MIHGGIPNM7MVDW \
  | 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: e3029abeabc8b3b620e6321ed67d951d97a27cdf2c3147c8683277014fc36d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49f88f8157eba96647dedc1319a23fdf992fcc1a6e603e2a12fed5587e5c506",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-02-13T18:08:53Z",
    "title_canon_sha256": "cae15b7ad897e7f958a4cd8688898c3ab9e463caa6659946486f8bc2336c2c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04775",
    "kind": "arxiv",
    "version": 2
  }
}