Pith Number

pith:426EVNO4

pith:2018:426EVNO4HQNAHC2IL7FVRGC6AC

not attested not anchored not stored refs pending

Distributed Edge Caching in Ultra-dense Fog Radio Access Networks: A Mean Field Approach

Fu-Chun Zheng, Mehdi Bennis, Yabai Hu, Yanxiang Jiang

arxiv:1806.09076 v1 · 2018-06-24 · 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{426EVNO4HQNAHC2IL7FVRGC6AC}

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	2026-05-18T00:12:30.435665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6bc4ab5dc3c1a038b485fcb58985e00b0e831d16a753557abb367d9e4db6864

Aliases

arxiv: 1806.09076 · arxiv_version: 1806.09076v1 · doi: 10.48550/arxiv.1806.09076 · pith_short_12: 426EVNO4HQNA · pith_short_16: 426EVNO4HQNAHC2I · pith_short_8: 426EVNO4

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/426EVNO4HQNAHC2IL7FVRGC6AC \
  | 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: e6bc4ab5dc3c1a038b485fcb58985e00b0e831d16a753557abb367d9e4db6864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b6f6111332a89c8537e9bfdeabe37b79c79f4a75869ceb75d64e3afbdbcc0fd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-06-24T03:44:17Z",
    "title_canon_sha256": "cf3cf03ba48faaa660e371f2bd166dd5fee3f50a3363002b134ad23a4cbdf618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09076",
    "kind": "arxiv",
    "version": 1
  }
}