Pith Number

pith:POJRUAQX

pith:2015:POJRUAQXCLLKQNEOR2SAB4BV2H

not attested not anchored not stored refs pending

Energy-Efficient Power Control: A Look at 5G Wireless Technologies

Alessio Zappone, Eduard Jorswieck, Giacomo Bacci, Luca Sanguinetti, M\'erouane Debbah

arxiv:1503.04609 v2 · 2015-03-16 · cs.IT · math.IT · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POJRUAQXCLLKQNEOR2SAB4BV2H}

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	2026-05-18T01:16:51.073263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b931a021712d6a8348e8ea400f035d1fda157a0324f99469a0729574fb7f5e1

Aliases

arxiv: 1503.04609 · arxiv_version: 1503.04609v2 · doi: 10.48550/arxiv.1503.04609 · pith_short_12: POJRUAQXCLLK · pith_short_16: POJRUAQXCLLKQNEO · pith_short_8: POJRUAQX

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/POJRUAQXCLLKQNEOR2SAB4BV2H \
  | 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: 7b931a021712d6a8348e8ea400f035d1fda157a0324f99469a0729574fb7f5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6f22d0514116c092ad79a881f5eac237d31d8a46b544876cfe40326d063ada",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-16T11:17:55Z",
    "title_canon_sha256": "637df5077194c3a9c35a81d139987fd31c98406568a9e47d0ea8850adf85da2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04609",
    "kind": "arxiv",
    "version": 2
  }
}