Pith Number

pith:EQIW4WXH

pith:2021:EQIW4WXHAIZWROSHRYW6PWHDDG

not attested not anchored not stored refs pending

A Tutorial on Mathematical Modeling of Millimeter Wave and Terahertz Cellular Systems

Andrey Samuylov, Dmitri Moltchanov, Eduard Sopin, Konstantin Samouylov, Vyacheslav Begishev, Yevgeni Koucheryavy

arxiv:2109.08651 v2 · 2021-09-17 · 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{EQIW4WXHAIZWROSHRYW6PWHDDG}

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	2026-07-05T03:33:08.072776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24116e5ae7023368ba478e2de7d8e319b04905d7f5d94e6ccd1ab78c19d8ba8c

Aliases

arxiv: 2109.08651 · arxiv_version: 2109.08651v2 · doi: 10.48550/arxiv.2109.08651 · pith_short_12: EQIW4WXHAIZW · pith_short_16: EQIW4WXHAIZWROSH · pith_short_8: EQIW4WXH

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/EQIW4WXHAIZWROSHRYW6PWHDDG \
  | 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: 24116e5ae7023368ba478e2de7d8e319b04905d7f5d94e6ccd1ab78c19d8ba8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5a154ac2d36b39076c006d4797b04da769b0c6482707e1aa6daea50586ae44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2021-09-17T17:15:18Z",
    "title_canon_sha256": "3a4188e9b06d7c0158ec5444f1b0913e343b1e4c702b1544c3081f7e7917c046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08651",
    "kind": "arxiv",
    "version": 2
  }
}