Pith Number

pith:RW3U4LLT

pith:2016:RW3U4LLTDYWRMPAGFLHKA5XLVY

not attested not anchored not stored refs pending

Coverage gain and Device-to-Device user Density: Stochastic Geometry Modeling and Analysis

Ali Imran, Hafiz Attaul Mustafa, Muhammad Ali Imran, Muhammad Zeeshan Shakir, Rahim Tafazolli

arxiv:1603.01698 v1 · 2016-03-05 · 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{RW3U4LLTDYWRMPAGFLHKA5XLVY}

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	2026-05-18T01:19:34.974178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db74e2d731e2d163c062acea076ebae2a4e057bd376eaf7bd50b97422c9d33d

Aliases

arxiv: 1603.01698 · arxiv_version: 1603.01698v1 · doi: 10.48550/arxiv.1603.01698 · pith_short_12: RW3U4LLTDYWR · pith_short_16: RW3U4LLTDYWRMPAG · pith_short_8: RW3U4LLT

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/RW3U4LLTDYWRMPAGFLHKA5XLVY \
  | 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: 8db74e2d731e2d163c062acea076ebae2a4e057bd376eaf7bd50b97422c9d33d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e3da1d82873102bf8f91f37b67c3af18bb23bd7bf5e5a4e5c14c05811d5e29",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-05T08:41:17Z",
    "title_canon_sha256": "687204e7270c9a7156a50c0abf48fbdda694cac49fd1d31941e399916a8ddce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01698",
    "kind": "arxiv",
    "version": 1
  }
}