Pith Number

pith:4Z6RT67G

pith:2021:4Z6RT67GJ6OYWDVHCJDOYA5MZL

not attested not anchored not stored refs pending

Multi-agent deep reinforcement learning (MADRL) meets multi-user MIMO systems

Heunchul Lee, Jaeseong Jeong

arxiv:2109.04986 v1 · 2021-09-10 · cs.IT · cs.LG · 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{4Z6RT67GJ6OYWDVHCJDOYA5MZL}

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	2026-07-05T03:13:12.221096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67d19fbe64f9d8b0ea71246ec03accaee45d32460df1e8bc0259ff0134db25d

Aliases

arxiv: 2109.04986 · arxiv_version: 2109.04986v1 · doi: 10.48550/arxiv.2109.04986 · pith_short_12: 4Z6RT67GJ6OY · pith_short_16: 4Z6RT67GJ6OYWDVH · pith_short_8: 4Z6RT67G

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/4Z6RT67GJ6OYWDVHCJDOYA5MZL \
  | 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: e67d19fbe64f9d8b0ea71246ec03accaee45d32460df1e8bc0259ff0134db25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0910f76892d81fda9eb4f7fcdd52f57c2ecdf464c17dca3753c3fad2272fe252",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-09-10T16:50:45Z",
    "title_canon_sha256": "d125cc8be6928be6343f55e0bc76da0e8b793c34d44193a1e7d7c4c6c2a0893f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04986",
    "kind": "arxiv",
    "version": 1
  }
}