Pith Number

pith:VDIELGDK

pith:2015:VDIELGDKAH3ZEZMCRTVJJPN5SX

not attested not anchored not stored refs pending

Downlink Coverage Probability in a Cellular Network with Ginibre Deployed Base Stations and Nakagami-m Fading Channels

Naoto Miyoshi, Tomoyuki Shirai

arxiv:1503.05377 v1 · 2015-03-18 · 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{VDIELGDKAH3ZEZMCRTVJJPN5SX}

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	2026-05-18T02:21:50.619984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d045986a01f79265828cea94bdbd95f8eb1aec518e471c2242c3bae0411c44

Aliases

arxiv: 1503.05377 · arxiv_version: 1503.05377v1 · doi: 10.48550/arxiv.1503.05377 · pith_short_12: VDIELGDKAH3Z · pith_short_16: VDIELGDKAH3ZEZMC · pith_short_8: VDIELGDK

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/VDIELGDKAH3ZEZMCRTVJJPN5SX \
  | 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: a8d045986a01f79265828cea94bdbd95f8eb1aec518e471c2242c3bae0411c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123b2a7ae564a15240c18f1b39e9d8d54cb84011140d347c92a93b62be4044e1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-18T12:57:55Z",
    "title_canon_sha256": "cf7c572178c56d343549c249dbecd513846f595ad675231bb9f4d04c859497c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05377",
    "kind": "arxiv",
    "version": 1
  }
}