Pith Number

pith:VX2LZCZE

pith:2013:VX2LZCZEHKPLHUN3WW3EVG4PZR

not attested not anchored not stored refs pending

Energy Cooperation in Cellular Networks with Renewable Powered Base Stations

Rui Zhang, Sumei Sun, Yeow-Khiang Chia

arxiv:1301.4786 v2 · 2013-01-21 · 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{VX2LZCZEHKPLHUN3WW3EVG4PZR}

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	2026-05-18T03:24:52.457586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf4bc8b243a9eb3d1bbb5b64a9b8fcc5485f445cde38d98c665d1e7cf3774a0

Aliases

arxiv: 1301.4786 · arxiv_version: 1301.4786v2 · doi: 10.48550/arxiv.1301.4786 · pith_short_12: VX2LZCZEHKPL · pith_short_16: VX2LZCZEHKPLHUN3 · pith_short_8: VX2LZCZE

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/VX2LZCZEHKPLHUN3WW3EVG4PZR \
  | 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: adf4bc8b243a9eb3d1bbb5b64a9b8fcc5485f445cde38d98c665d1e7cf3774a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c4c1c60924aa5c6a7bf508f19db885f83c8a914570486b63f0dac90beb6e26",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-21T08:21:24Z",
    "title_canon_sha256": "2bce0d80d069438822160fc126b9683ac327e4013f2024cbefd45e2ec799b8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4786",
    "kind": "arxiv",
    "version": 2
  }
}