Pith Number

pith:SQD77UKO

pith:2020:SQD77UKOIU73SSXUMDKTCPQPHV

not attested not anchored not stored refs pending

Multi-Agent Reinforcement Learning for Cooperative Coded Caching via Homotopy Optimization

H. Vincent Poor, Jun Li, Ming Xiao, P. C. Ching, Xiongwei Wu

arxiv:2006.13565 v1 · 2020-06-24 · 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{SQD77UKOIU73SSXUMDKTCPQPHV}

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	2026-07-05T01:13:17.803379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9407ffd14e453fb94af460d5313e0f3d7ca9d9291cc25c1d64c9b2ecf3eea08d

Aliases

arxiv: 2006.13565 · arxiv_version: 2006.13565v1 · doi: 10.48550/arxiv.2006.13565 · pith_short_12: SQD77UKOIU73 · pith_short_16: SQD77UKOIU73SSXU · pith_short_8: SQD77UKO

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/SQD77UKOIU73SSXUMDKTCPQPHV \
  | 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: 9407ffd14e453fb94af460d5313e0f3d7ca9d9291cc25c1d64c9b2ecf3eea08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ab974a1eec5070a356f587603cd05453be369642544ceef7c9ae0939e1d1d0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-06-24T08:54:46Z",
    "title_canon_sha256": "f0e4760465e9db417f9f7102ce05e762dec88c9ee166ef9a3aa688db5e7d616e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.13565",
    "kind": "arxiv",
    "version": 1
  }
}