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Pith Number

pith:FN3W2XZZ

pith:2017:FN3W2XZZHPX2MCSDYMT37WCE66
not attested not anchored not stored refs pending

Joint and Competitive Caching Designs in Large-Scale Multi-Tier Wireless Multicasting Networks

Yang Yang, Ying Cui, Zhehan Cao, Zitian Wang

arxiv:1706.07903 v1 · 2017-06-24 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FN3W2XZZHPX2MCSDYMT37WCE66}

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 2026-05-18T00:41:47.199292Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2b776d5f393befa60a43c327bfd844f78cef1cc558d64d4864055e2593869d12

Aliases

arxiv: 1706.07903 · arxiv_version: 1706.07903v1 · doi: 10.48550/arxiv.1706.07903 · pith_short_12: FN3W2XZZHPX2 · pith_short_16: FN3W2XZZHPX2MCSD · pith_short_8: FN3W2XZZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FN3W2XZZHPX2MCSDYMT37WCE66 \
  | 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: 2b776d5f393befa60a43c327bfd844f78cef1cc558d64d4864055e2593869d12
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8b8de8cef4032f4890b00561ded88be8927b591afccdc042e114a5e813ae06db",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-24T03:53:21Z",
    "title_canon_sha256": "de0db4ff5de950c3d12bc55bb8df7ab70ec8d8df5443fde4e39561aa9321dfbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07903",
    "kind": "arxiv",
    "version": 1
  }
}