Pith Number

pith:4C2DXSTS

pith:2026:4C2DXSTSWAVOS7AKLOKDN6MHRN

not attested not anchored not stored refs pending

Metric-Gradient Projection for Stable Multi-Agent Policy Learning

Mahdi Imani, Sizhe Tang, Tian Lan, Zuyuan Zhang

arxiv:2605.18809 v1 · 2026-05-12 · cs.LG · cs.AI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C2DXSTSWAVOS7AKLOKDN6MHRN}

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	2026-05-20T00:06:23.563656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b43bca72b02ae97c0a5b9436f9878b688514cb44b17b79cb9c12fbd50288f3

Aliases

arxiv: 2605.18809 · arxiv_version: 2605.18809v1 · doi: 10.48550/arxiv.2605.18809 · pith_short_12: 4C2DXSTSWAVO · pith_short_16: 4C2DXSTSWAVOS7AK · pith_short_8: 4C2DXSTS

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/4C2DXSTSWAVOS7AKLOKDN6MHRN \
  | 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: e0b43bca72b02ae97c0a5b9436f9878b688514cb44b17b79cb9c12fbd50288f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22b08811ea3c2708c68b55d29ec9ed1807ade75ae7bd48b49fd253b056006fd",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-12T01:02:01Z",
    "title_canon_sha256": "16ab7ac42e8b03a1ea9b0b87c118a217abe49920db783bc2963aa007f62ac8e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18809",
    "kind": "arxiv",
    "version": 1
  }
}