Pith Number

pith:ZAFJNWOM

pith:2016:ZAFJNWOM7VYOMDUO2PECQGI4IV

not attested not anchored not stored refs pending

Stochastic Geometric Analysis of Energy-Efficient Dense Cellular Networks

Arman Shojaeifard, Daniel K. C. So, Emad Alsusa, Jie Tang, Kai-Kit Wong, Khairi Ashour Hamdi

arxiv:1610.06846 v1 · 2016-10-21 · 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{ZAFJNWOM7VYOMDUO2PECQGI4IV}

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	2026-05-18T00:50:29.015268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80a96d9ccfd70e60e8ed3c828191c457f28e485f2191c0eaedf323d419ef65d

Aliases

arxiv: 1610.06846 · arxiv_version: 1610.06846v1 · doi: 10.48550/arxiv.1610.06846 · pith_short_12: ZAFJNWOM7VYO · pith_short_16: ZAFJNWOM7VYOMDUO · pith_short_8: ZAFJNWOM

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/ZAFJNWOM7VYOMDUO2PECQGI4IV \
  | 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: c80a96d9ccfd70e60e8ed3c828191c457f28e485f2191c0eaedf323d419ef65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576dd2a0baecacf8a33dc8deeaa5115f50c897face46d8f2077a57f8ff12804a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-21T16:36:50Z",
    "title_canon_sha256": "ce6b5c4ab1be04c6f543d82fe59bf2a23dee014126e66bc31598248e36173360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06846",
    "kind": "arxiv",
    "version": 1
  }
}