Pith Number

pith:K2F7XVFD

pith:2017:K2F7XVFDRRWDYCZOV5K6QRTBUQ

not attested not anchored not stored refs pending

Downlink Energy Efficiency of Power Allocation and Wireless Backhaul Bandwidth Allocation in Heterogeneous Small Cell Networks

Haijun Zhang, Hao Liu, Julian Cheng, Victor C. M. Leung

arxiv:1710.02942 v1 · 2017-10-09 · 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{K2F7XVFDRRWDYCZOV5K6QRTBUQ}

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	2026-05-18T00:33:28.391619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568bfbd4a38c6c3c0b2eaf55e84661a43ecf681fdef7ead96283bdfeb55ce248

Aliases

arxiv: 1710.02942 · arxiv_version: 1710.02942v1 · doi: 10.48550/arxiv.1710.02942 · pith_short_12: K2F7XVFDRRWD · pith_short_16: K2F7XVFDRRWDYCZO · pith_short_8: K2F7XVFD

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/K2F7XVFDRRWDYCZOV5K6QRTBUQ \
  | 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: 568bfbd4a38c6c3c0b2eaf55e84661a43ecf681fdef7ead96283bdfeb55ce248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10612229951660150a8c48731fafb57cc576dc401b9777c12b6894e8177d933a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-10-09T05:48:00Z",
    "title_canon_sha256": "002b953697f14842ea20375c39aed798c9541aca9c033235f2613d1aff6d9cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02942",
    "kind": "arxiv",
    "version": 1
  }
}