Pith Number

pith:2J4LMSSM

pith:2015:2J4LMSSMUQGTDND7G3X4MHU6SV

not attested not anchored not stored refs pending

Path Loss, Shadow Fading, and Line-Of-Sight Probability Models for 5G Urban Macro-Cellular Scenarios

Huan Nguyen, Ignacio Rodrigue, Istvan Z. Kovacs, Shu Sun, Theodore S. Rappaport, Timothy A. Thomas

arxiv:1511.07374 v2 · 2015-11-23 · 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{2J4LMSSMUQGTDND7G3X4MHU6SV}

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	2026-05-18T00:58:09.975402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d278b64a4ca40d31b47f36efc61e9e955df985aa53239d5362f65618110e3bf4

Aliases

arxiv: 1511.07374 · arxiv_version: 1511.07374v2 · doi: 10.48550/arxiv.1511.07374 · pith_short_12: 2J4LMSSMUQGT · pith_short_16: 2J4LMSSMUQGTDND7 · pith_short_8: 2J4LMSSM

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/2J4LMSSMUQGTDND7G3X4MHU6SV \
  | 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: d278b64a4ca40d31b47f36efc61e9e955df985aa53239d5362f65618110e3bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787ae2e241c49bc48e0eb9a440ee04aa05b93e64898fcb5e096415ef31478a2a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-23T19:26:01Z",
    "title_canon_sha256": "7a27b5a8c9f23a45396048ba727490a90076f7cea71cd1bd6de47f0bf61f6b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07374",
    "kind": "arxiv",
    "version": 2
  }
}