pith. sign in
Pith Number

pith:QC6ZN7UU

pith:2019:QC6ZN7UUEAME7PKM3PNRQN6GWX
not attested not anchored not stored refs pending

Fundamental Limits of Coded Caching: The Memory Rate Pair (K-1-1/K, 1/(K-1))

Brijesh Kumar Rai, Tony Jacob, Vijith Kumar K P

arxiv:1905.08471 v1 · 2019-05-21 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QC6ZN7UUEAME7PKM3PNRQN6GWX}

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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 2026-05-17T23:45:43.142566Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

80bd96fe9420184fbd4cdbdb1837c6b5c2086e27dd54243aa98d99be84eafa7d

Aliases

arxiv: 1905.08471 · arxiv_version: 1905.08471v1 · doi: 10.48550/arxiv.1905.08471 · pith_short_12: QC6ZN7UUEAME · pith_short_16: QC6ZN7UUEAME7PKM · pith_short_8: QC6ZN7UU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QC6ZN7UUEAME7PKM3PNRQN6GWX \
  | 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: 80bd96fe9420184fbd4cdbdb1837c6b5c2086e27dd54243aa98d99be84eafa7d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ef77f1874442b1f7cb37d7efa5e7032789854ba3d73a0e73407b28c5037e261a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-05-21T07:38:46Z",
    "title_canon_sha256": "afaf1b527df8aa7932d0eec43ece6d72dfae65da93528a9786694ac0f8cf2375"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08471",
    "kind": "arxiv",
    "version": 1
  }
}