Pith Number

pith:CWMVIIYX

pith:2017:CWMVIIYXFAWHU2FLJWBMZD6ZRF

not attested not anchored not stored refs pending

A Unified Asymptotic Analysis of Area Spectral Efficiency in Ultradense Cellular Networks

Ahmad AlAmmouri, Francois Baccelli, Jeffrey G. Andrews

arxiv:1712.07733 v2 · 2017-12-20 · 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{CWMVIIYXFAWHU2FLJWBMZD6ZRF}

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	2026-05-18T00:18:41.071953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1599542317282c7a68ab4d82cc8fd98974b2c043a970d9376dc163f79b40f8a6

Aliases

arxiv: 1712.07733 · arxiv_version: 1712.07733v2 · doi: 10.48550/arxiv.1712.07733 · pith_short_12: CWMVIIYXFAWH · pith_short_16: CWMVIIYXFAWHU2FL · pith_short_8: CWMVIIYX

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/CWMVIIYXFAWHU2FLJWBMZD6ZRF \
  | 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: 1599542317282c7a68ab4d82cc8fd98974b2c043a970d9376dc163f79b40f8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaeda144df6b21282abae1a37a69efccdd237f6bb4c70c0b14aea71c878caca0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-20T22:22:30Z",
    "title_canon_sha256": "3b8209923bd58c82739390b11d008305ca9c258675cc651d9bf342f8aca9c159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07733",
    "kind": "arxiv",
    "version": 2
  }
}