Pith Number

pith:NX4Y4VOY

pith:2016:NX4Y4VOYVHC7IQNOZAOJONTPT7

not attested not anchored not stored refs pending

Coverage Analysis of Two-Tier HetNets for Co-Channel, Orthogonal, and Partial Spectrum Sharing under Fractional Load Conditions

Goutam Das, Praful D. Mankar, S. S. Pathak

arxiv:1609.05656 v2 · 2016-09-19 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NX4Y4VOYVHC7IQNOZAOJONTPT7}

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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.

Receipt and verification

First computed	2026-05-18T00:50:30.905939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df98e55d8a9c5f441aec81c97366f9ffea97934af979a4096ca2f10e3c645ad

Aliases

arxiv: 1609.05656 · arxiv_version: 1609.05656v2 · doi: 10.48550/arxiv.1609.05656 · pith_short_12: NX4Y4VOYVHC7 · pith_short_16: NX4Y4VOYVHC7IQNO · pith_short_8: NX4Y4VOY

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/NX4Y4VOYVHC7IQNOZAOJONTPT7 \
  | 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: 6df98e55d8a9c5f441aec81c97366f9ffea97934af979a4096ca2f10e3c645ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86087ef29865ffb021c78bb47e0d57bae5bfe6e35ce8f296f4c8e7f46ee59258",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-19T10:24:19Z",
    "title_canon_sha256": "549322055bf942e2496e38bc6eb44e8c806d02c4eac2c7c5e565c1572545e06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05656",
    "kind": "arxiv",
    "version": 2
  }
}