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Pith Number

pith:JYZU6XWL

pith:2017:JYZU6XWLQGJEVDTDTTCLG2JBQ2
not attested not anchored not stored refs pending

Analysis and Optimization of Probabilistic Caching in Multi-Antenna Small-Cell Networks

Meixia Tao, Xianzhe Xu

arxiv:1709.00664 v2 · 2017-09-03 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JYZU6XWLQGJEVDTDTTCLG2JBQ2}

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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 2026-05-18T00:35:15.899548Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4e334f5ecb81924a8e639cc4b3692186aec2290c30cc4fc1176587a8f75840e6

Aliases

arxiv: 1709.00664 · arxiv_version: 1709.00664v2 · doi: 10.48550/arxiv.1709.00664 · pith_short_12: JYZU6XWLQGJE · pith_short_16: JYZU6XWLQGJEVDTD · pith_short_8: JYZU6XWL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JYZU6XWLQGJEVDTDTTCLG2JBQ2 \
  | 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: 4e334f5ecb81924a8e639cc4b3692186aec2290c30cc4fc1176587a8f75840e6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4755be6c9e9da750bb1861ee2da88b7bfec7702ab4db863accc70825bcf97188",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-09-03T05:05:08Z",
    "title_canon_sha256": "be0758e0e06a051ca895f5c5c2068ff8465ae93fbb459284a2557a867ee499a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00664",
    "kind": "arxiv",
    "version": 2
  }
}