Pith Number

pith:E5MZ4XIE

pith:2026:E5MZ4XIEFH2Z3I3CNCVNVZBHQM

not attested not anchored not stored refs pending

Mean-Field PhiBE: Continuous-Time Mean-Field Reinforcement Learning from Discrete-Time Data

Erhan Bayraktar, Martin Hernandez, Qinxin Yan, Yuhua Zhu

arxiv:2606.26498 v1 · 2026-06-25 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5MZ4XIEFH2Z3I3CNCVNVZBHQM}

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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.

Cited by

1 paper in Pith

Mean Field Reinforcement Learning

Receipt and verification

First computed	2026-06-26T01:15:32.835952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27599e5d0429f59da36268aadae4278318aa43d17b44dcf44f0baecef69a9187

Aliases

arxiv: 2606.26498 · arxiv_version: 2606.26498v1 · doi: 10.48550/arxiv.2606.26498 · pith_short_12: E5MZ4XIEFH2Z · pith_short_16: E5MZ4XIEFH2Z3I3C · pith_short_8: E5MZ4XIE

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/E5MZ4XIEFH2Z3I3CNCVNVZBHQM \
  | 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: 27599e5d0429f59da36268aadae4278318aa43d17b44dcf44f0baecef69a9187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d540633153e376a39484767d45504776a36daabfae3710c52cf6e9b8d194af",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-25T01:05:27Z",
    "title_canon_sha256": "b8c5231834f40978b6be02021cb22e543f01aa37363545f0839c9903fbe29932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26498",
    "kind": "arxiv",
    "version": 1
  }
}