Pith Number

pith:5QO2FX62

pith:2016:5QO2FX62CPGNCKTAMB65DCGCX7

not attested not anchored not stored refs pending

Optimizing The Spatial Content Caching Distribution for Device-to-Device Communications

Derya Malak, Jeffrey G. Andrews, Mazin Al-Shalash

arxiv:1608.07856 v1 · 2016-08-28 · cs.IT · cs.NI · 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{5QO2FX62CPGNCKTAMB65DCGCX7}

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	2026-05-18T00:58:56.556164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1da2dfda13ccd12a60607dd188c2bfdf51a00186ca022d76ee5e254cd003ef

Aliases

arxiv: 1608.07856 · arxiv_version: 1608.07856v1 · doi: 10.48550/arxiv.1608.07856 · pith_short_12: 5QO2FX62CPGN · pith_short_16: 5QO2FX62CPGNCKTA · pith_short_8: 5QO2FX62

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/5QO2FX62CPGNCKTAMB65DCGCX7 \
  | 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: ec1da2dfda13ccd12a60607dd188c2bfdf51a00186ca022d76ee5e254cd003ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e628722146778c1cb80532b577383f4d0777bfd65d35828fd39861e83261e9d",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-28T21:22:53Z",
    "title_canon_sha256": "afc83c4d285788be53eec93e53ddf070996512abdbccc0c225b267ff44c39502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07856",
    "kind": "arxiv",
    "version": 1
  }
}