Pith Number

pith:LDCIV44J

pith:2013:LDCIV44JGUMRGGVOVC3F5CNEL6

not attested not anchored not stored refs pending

Spectral and Energy Efficiency Trade-Offs in Cellular Networks

Dimitrios Tsilimantos, H. Vincent Poor, Jean-Marie Gorce, Katia Jaffr\`es-Runser

arxiv:1311.7302 v2 · 2013-11-28 · 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{LDCIV44JGUMRGGVOVC3F5CNEL6}

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	2026-05-18T00:57:52.499598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58c48af3893519131aaea8b65e89a45f999d23fb02649b756bae6968aa9b756a

Aliases

arxiv: 1311.7302 · arxiv_version: 1311.7302v2 · doi: 10.48550/arxiv.1311.7302 · pith_short_12: LDCIV44JGUMR · pith_short_16: LDCIV44JGUMRGGVO · pith_short_8: LDCIV44J

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/LDCIV44JGUMRGGVOVC3F5CNEL6 \
  | 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: 58c48af3893519131aaea8b65e89a45f999d23fb02649b756bae6968aa9b756a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35fa72293b09837b48e68365f186c32dc8dfa476a052c749dea99d5643671d2d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-28T12:45:29Z",
    "title_canon_sha256": "9ed47d674c03e871791c7514b00aea5254d47244c5312b245258b3d3eccaafeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7302",
    "kind": "arxiv",
    "version": 2
  }
}