Pith Number

pith:VPYOLHIK

pith:2018:VPYOLHIKH3EWEARDG2C4AXBH4W

not attested not anchored not stored refs pending

A Brief History on the Theoretical Analysis of Dense Small Cell Wireless Networks

David Lopez-Perez, Ming Ding

arxiv:1812.02269 v1 · 2018-12-05 · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPYOLHIKH3EWEARDG2C4AXBH4W}

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	2026-05-17T23:58:56.717133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf0e59d0a3ec96202233685c05c27e5b2ec47bb78c105e73ae7c0a2b865cf3b

Aliases

arxiv: 1812.02269 · arxiv_version: 1812.02269v1 · doi: 10.48550/arxiv.1812.02269 · pith_short_12: VPYOLHIKH3EW · pith_short_16: VPYOLHIKH3EWEARD · pith_short_8: VPYOLHIK

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/VPYOLHIKH3EWEARDG2C4AXBH4W \
  | 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: abf0e59d0a3ec96202233685c05c27e5b2ec47bb78c105e73ae7c0a2b865cf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3013015f77d06e523626d8f257176738c14ffc844290691eb146213654f34982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2018-12-05T23:40:34Z",
    "title_canon_sha256": "bf49a5e2fa2b1dca723f1e9c21f4e8893e17dd5331ec994461ef60c0ad49c447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02269",
    "kind": "arxiv",
    "version": 1
  }
}