Pith Number

pith:3JGNO3KX

pith:2016:3JGNO3KXIX5HFTQ23KCW5JT5DU

not attested not anchored not stored refs pending

Unified Stochastic Geometry Model for MIMO Cellular Networks with Retransmissions

Hesham ElSawy, Laila Hesham Afify, Mohamed-Slim Alouini, Tareq Y. Al-Naffouri

arxiv:1604.02960 v1 · 2016-04-11 · 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{3JGNO3KXIX5HFTQ23KCW5JT5DU}

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	2026-05-18T01:17:21.755202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4cd76d5745fa72ce1ada856ea67d1d2a39baf5518daf9e7221bd2ab2b92e0b

Aliases

arxiv: 1604.02960 · arxiv_version: 1604.02960v1 · doi: 10.48550/arxiv.1604.02960 · pith_short_12: 3JGNO3KXIX5H · pith_short_16: 3JGNO3KXIX5HFTQ2 · pith_short_8: 3JGNO3KX

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/3JGNO3KXIX5HFTQ23KCW5JT5DU \
  | 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: da4cd76d5745fa72ce1ada856ea67d1d2a39baf5518daf9e7221bd2ab2b92e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e1e01b63320dc95f5eaf33d02cff09e5a6bb0303049c6184611fa19c452da3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-11T13:55:31Z",
    "title_canon_sha256": "efd8851a67a7e6c2549819ab3c299b225146e5559bf54c178160487f78d533a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02960",
    "kind": "arxiv",
    "version": 1
  }
}