Pith Number

pith:GRY4LTFL

pith:2016:GRY4LTFLP3IFLNIJOH7LYD4ITS

not attested not anchored not stored refs pending

Fundamental properties of solutions to utility maximization problems in wireless networks

Renato Luis Garrido Cavalcante, Slawomir Stanczak

arxiv:1610.01988 v3 · 2016-10-06 · cs.IT · cs.NI · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRY4LTFLP3IFLNIJOH7LYD4ITS}

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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.

Cited by

1 paper in Pith

Cellular, Cell-less, and Everything in Between: A Unified Framework for Utility Region Analysis in Wireless Networks

Receipt and verification

First computed	2026-05-18T00:15:05.710422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3471c5ccab7ed055b50971febc0f889c9e3ab884101f8e9da4e17f598be4941b

Aliases

arxiv: 1610.01988 · arxiv_version: 1610.01988v3 · doi: 10.48550/arxiv.1610.01988 · pith_short_12: GRY4LTFLP3IF · pith_short_16: GRY4LTFLP3IFLNIJ · pith_short_8: GRY4LTFL

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/GRY4LTFLP3IFLNIJOH7LYD4ITS \
  | 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: 3471c5ccab7ed055b50971febc0f889c9e3ab884101f8e9da4e17f598be4941b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4a119d6df1d9cfa3c490ba26d85e814f9b7960b264a43cce6c3a2f795c8056",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-06T18:36:37Z",
    "title_canon_sha256": "404e8aeb23cb59c33bef443611b8cfd3f5cf122237af102f8f6f4b8a20337887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01988",
    "kind": "arxiv",
    "version": 3
  }
}