Pith Number

pith:7RO2IH2Q

pith:2018:7RO2IH2QBA5VODLNVQTI5P3FUA

not attested not anchored not stored refs pending

System-Level Modeling and Optimization of the Energy Efficiency in Cellular Networks -- A Stochastic Geometry Framework

Alessio Zappone, Marco Di Renzo, Merouane Debbah, Thanh Tu Lam

arxiv:1801.07513 v1 · 2018-01-23 · 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{7RO2IH2QBA5VODLNVQTI5P3FUA}

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	2026-05-18T00:25:12.688885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5da41f50083b570d6dac268ebf65a0095ad7fbf5cdd898c6575ef501a4bd35

Aliases

arxiv: 1801.07513 · arxiv_version: 1801.07513v1 · doi: 10.48550/arxiv.1801.07513 · pith_short_12: 7RO2IH2QBA5V · pith_short_16: 7RO2IH2QBA5VODLN · pith_short_8: 7RO2IH2Q

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/7RO2IH2QBA5VODLNVQTI5P3FUA \
  | 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: fc5da41f50083b570d6dac268ebf65a0095ad7fbf5cdd898c6575ef501a4bd35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2902fc3da0c32c194d4fddbf26dfb1c7be5432e37b82a7d7b9b2f90f352c17f9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-01-23T12:40:31Z",
    "title_canon_sha256": "7e3055e569d2e29556bdb3f6b3aded31c56290eacf6499dbe16c89aeab305abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07513",
    "kind": "arxiv",
    "version": 1
  }
}