Pith Number

pith:2K7BJBU2

pith:2018:2K7BJBU2MSMASGVI673MXRQ6OI

not attested not anchored not stored refs pending

Utility-Energy Efficiency Oriented User Association with Power Control in Heterogeneous Networks

Hong Shen, Hua Zhang, Wei Xu, Xiaohu You, Xietian Huang

arxiv:1806.03448 v1 · 2018-06-09 · 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{2K7BJBU2MSMASGVI673MXRQ6OI}

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	2026-05-18T00:13:43.371024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2be14869a6498091aa8f7f6cbc61e721734ce1b297744bb90eeb9e062f58f21

Aliases

arxiv: 1806.03448 · arxiv_version: 1806.03448v1 · doi: 10.48550/arxiv.1806.03448 · pith_short_12: 2K7BJBU2MSMA · pith_short_16: 2K7BJBU2MSMASGVI · pith_short_8: 2K7BJBU2

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/2K7BJBU2MSMASGVI673MXRQ6OI \
  | 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: d2be14869a6498091aa8f7f6cbc61e721734ce1b297744bb90eeb9e062f58f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52ed00ce01a0dc1c4f270b97ed8baebf2c9042a5599262776f90e76e7f7c9be",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-06-09T09:21:58Z",
    "title_canon_sha256": "cabde3a56eb9d01a39fc27ec0a505eef9fb1287813769c7617587c071569c258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03448",
    "kind": "arxiv",
    "version": 1
  }
}