Pith Number

pith:3QNOPYYG

pith:2018:3QNOPYYGBQZERUKNFHI3B43NCC

not attested not anchored not stored refs pending

SIR Meta Distribution of K-Tier Downlink Heterogeneous Cellular Networks with Cell Range Expansion

Martin Haenggi, Yuanjie Wang, Zhenhui Tan

arxiv:1803.00182 v1 · 2018-03-01 · 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{3QNOPYYGBQZERUKNFHI3B43NCC}

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	2026-05-18T00:22:13.108843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1ae7e3060c3248d14d29d1b0f36d1097cac7dd5a43c57d469094ee02c22df9

Aliases

arxiv: 1803.00182 · arxiv_version: 1803.00182v1 · doi: 10.48550/arxiv.1803.00182 · pith_short_12: 3QNOPYYGBQZE · pith_short_16: 3QNOPYYGBQZERUKN · pith_short_8: 3QNOPYYG

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/3QNOPYYGBQZERUKNFHI3B43NCC \
  | 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: dc1ae7e3060c3248d14d29d1b0f36d1097cac7dd5a43c57d469094ee02c22df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4138f0ae88c6faaf1faeb627b0fb47ba4717bd44fa319254a56a070dd5d62853",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-03-01T02:55:39Z",
    "title_canon_sha256": "4451ddcd96654974bf4da345c5f497f5cf080656113813c5c3addf4889ac7b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00182",
    "kind": "arxiv",
    "version": 1
  }
}