Pith Number

pith:IJ32XJNA

pith:2015:IJ32XJNAPPAXXIA34MJUUAFHXJ

not attested not anchored not stored refs pending

An Efficient Multiple-Groupcast Coded Multicasting Scheme for Finite Fractional Caching

Antonia M. Tulino, Giuseppe Caire, Giuseppe Vettigli, Jaime Llorca, Karthikeyan Shanmugam, Mingyue Ji

arxiv:1511.07539 v1 · 2015-11-24 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ32XJNAPPAXXIA34MJUUAFHXJ}

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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.

Cited by

1 paper in Pith

Learning Selective Merge Policies for Deadline-Constrained Coded Caching via Deep Reinforcement Learning

Receipt and verification

First computed	2026-05-18T01:26:04.468263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4277aba5a07bc17ba01be3134a00a7ba509d94ecf4b0ab1415c84f6ec03be648

Aliases

arxiv: 1511.07539 · arxiv_version: 1511.07539v1 · doi: 10.48550/arxiv.1511.07539 · pith_short_12: IJ32XJNAPPAX · pith_short_16: IJ32XJNAPPAXXIA3 · pith_short_8: IJ32XJNA

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/IJ32XJNAPPAXXIA34MJUUAFHXJ \
  | 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: 4277aba5a07bc17ba01be3134a00a7ba509d94ecf4b0ab1415c84f6ec03be648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9abfea72548d354e728b39d528e7ad9fae985b6e74663213e6e44af8bf21f6fa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-24T02:10:21Z",
    "title_canon_sha256": "2a71172c5b7c51ca0f1889caa45ba40ca071c80391fbef2b9c4b49d8085528c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07539",
    "kind": "arxiv",
    "version": 1
  }
}