Pith Number

pith:W7E23VRY

pith:2016:W7E23VRYPWY4R6NFPVDBILY5GV

not attested not anchored not stored refs pending

A Dual-Directional Path-loss Model in 5G Wireless Fractal Small Cell Networks

Cheng-Xiang Wang, Fen Bin, Jiaqi Chen, Qiang Li, Xiaohu Ge

arxiv:1612.04463 v1 · 2016-12-14 · cs.NI · 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{W7E23VRYPWY4R6NFPVDBILY5GV}

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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	2026-05-18T00:54:52.283735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c9add6387db1c8f9a57d46142f1d3570190c9ece25d1e6ca7f3d04598cfbd9

Aliases

arxiv: 1612.04463 · arxiv_version: 1612.04463v1 · doi: 10.48550/arxiv.1612.04463 · pith_short_12: W7E23VRYPWY4 · pith_short_16: W7E23VRYPWY4R6NF · pith_short_8: W7E23VRY

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/W7E23VRYPWY4R6NFPVDBILY5GV \
  | 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: b7c9add6387db1c8f9a57d46142f1d3570190c9ece25d1e6ca7f3d04598cfbd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abff378e7f8e862cb6d991084d9da12d68705bfed8e346bcb4e42a95603990b7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-12-14T02:42:12Z",
    "title_canon_sha256": "d69aa9e851b9387bcd0796ecde8f97a185677caf3a4a7905d9442dbbd8f6b75c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04463",
    "kind": "arxiv",
    "version": 1
  }
}