Pith Number

pith:M2HESXI7

pith:2019:M2HESXI72QIHIJTC3VCME4YHLK

not attested not anchored not stored refs pending

On the Optimality of D2D Coded Caching with Uncoded Cache Placement and One-shot Delivery

\c{C}a\u{g}kan Yapar, Giuseppe Caire, Kai Wan, Rafael F. Schaefer

arxiv:1901.05921 v3 · 2019-01-17 · 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{M2HESXI72QIHIJTC3VCME4YHLK}

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	2026-07-05T02:48:31.633415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

668e495d1fd410742662dd44c273075a9a1f17fca177d371c8ab6007b92065cc

Aliases

arxiv: 1901.05921 · arxiv_version: 1901.05921v3 · doi: 10.48550/arxiv.1901.05921 · pith_short_12: M2HESXI72QIH · pith_short_16: M2HESXI72QIHIJTC · pith_short_8: M2HESXI7

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/M2HESXI72QIHIJTC3VCME4YHLK \
  | 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: 668e495d1fd410742662dd44c273075a9a1f17fca177d371c8ab6007b92065cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a9e0b02df73233fd1d0da9670cb767086f894ac7ff6725de7f48704e53652a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-01-17T17:39:46Z",
    "title_canon_sha256": "89c5d41a97cd9bef2e7f0149c6c052017fd70caac8eb2979ec185f05f077f6d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05921",
    "kind": "arxiv",
    "version": 3
  }
}