Pith Number

pith:LENENUN3

pith:2017:LENENUN3TCC67NBINPIT7GLHE2

not attested not anchored not stored refs pending

Energy Efficient Power Control for the Two-tier Networks with Small Cells and Massive MIMO

Fuchun Zheng, Ningning Lu, Xiaohu You, Yanxiang Jiang

arxiv:1703.07043 v1 · 2017-03-21 · cs.NI · cs.GT · 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{LENENUN3TCC67NBINPIT7GLHE2}

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	2026-05-18T00:48:09.059439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591a46d1bb9885efb4286bd13f9967268e7c1d7ec9b6beebadb4df4a5a5963dc

Aliases

arxiv: 1703.07043 · arxiv_version: 1703.07043v1 · doi: 10.48550/arxiv.1703.07043 · pith_short_12: LENENUN3TCC6 · pith_short_16: LENENUN3TCC67NBI · pith_short_8: LENENUN3

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/LENENUN3TCC67NBINPIT7GLHE2 \
  | 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: 591a46d1bb9885efb4286bd13f9967268e7c1d7ec9b6beebadb4df4a5a5963dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3c060f9d01479e06e4a24d5943612c139777e2872f1a9f34b7575909bab671",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2017-03-21T03:52:20Z",
    "title_canon_sha256": "161a11b2764a82e2698014e24b7f8694995e3cb80e48abd9401857bb56e631f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07043",
    "kind": "arxiv",
    "version": 1
  }
}