Pith Number

pith:CZF5OOEC

pith:2021:CZF5OOEC5YCJLLTSHS4AVRF6HD

not attested not anchored not stored refs pending

Multi-Transmitter Coded Caching Networks with Transmitter-side Knowledge of File Popularity

Berksan Serbetci, Eleftherios Lampiris, Giuseppe Caire, Petros Elia, Thrasyvoulos Spyropoulos

arxiv:2103.11623 v1 · 2021-03-22 · cs.IT · 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{CZF5OOEC5YCJLLTSHS4AVRF6HD}

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	2026-07-05T02:25:02.077147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164bd73882ee0495ae723cb80ac4be38f508ac391230912cc35f977a90434cc1

Aliases

arxiv: 2103.11623 · arxiv_version: 2103.11623v1 · doi: 10.48550/arxiv.2103.11623 · pith_short_12: CZF5OOEC5YCJ · pith_short_16: CZF5OOEC5YCJLLTS · pith_short_8: CZF5OOEC

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/CZF5OOEC5YCJLLTSHS4AVRF6HD \
  | 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: 164bd73882ee0495ae723cb80ac4be38f508ac391230912cc35f977a90434cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32fb3000483d059cfe750b5928cc04796df273b982ab0062c3a70e07dcf443b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-03-22T07:25:24Z",
    "title_canon_sha256": "2a5983784255bf620a12f33c82bf3d767d93f22aa8805a25fdb4bbd4b29668fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.11623",
    "kind": "arxiv",
    "version": 1
  }
}