Pith Number

pith:HLZE4ASY

pith:2016:HLZE4ASYOYIIHBUJYGID5ZZMLK

not attested not anchored not stored refs pending

A Tractable Framework for the Analysis of Dense Heterogeneous Cellular Networks

Hazer Inaltekin, H. Vincent Poor, Serkan Ak

arxiv:1610.05617 v3 · 2016-10-18 · 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{HLZE4ASYOYIIHBUJYGID5ZZMLK}

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	2026-05-18T00:20:17.680967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af24e02587610838689c1903ee72c5a9749e158f5694e33ebb7440d22714af5

Aliases

arxiv: 1610.05617 · arxiv_version: 1610.05617v3 · doi: 10.48550/arxiv.1610.05617 · pith_short_12: HLZE4ASYOYII · pith_short_16: HLZE4ASYOYIIHBUJ · pith_short_8: HLZE4ASY

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/HLZE4ASYOYIIHBUJYGID5ZZMLK \
  | 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: 3af24e02587610838689c1903ee72c5a9749e158f5694e33ebb7440d22714af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb00c4cfdf2c794596a416e971de1aa9e965c12697f65286b389dcd9e83a34d4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-18T13:49:33Z",
    "title_canon_sha256": "83b5c66a21de4f1b2ec030bbc9b294af1eef24fb23d19baa8c393bc8a1ca6f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05617",
    "kind": "arxiv",
    "version": 3
  }
}