Pith Number

pith:JZONJ646

pith:2026:JZONJ646JVJQFIDEQB2VQ5TVPN

not attested not anchored not stored refs pending

Policy Gradient for Continuous-Time Mean-Field Control

Erhan Bayraktar, Martin Hernandez, Qinxin Yan, Yuhua Zhu

arxiv:2605.20718 v1 · 2026-05-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZONJ646JVJQFIDEQB2VQ5TVPN}

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	2026-05-21T01:04:50.615534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5cd4fb9e4d5302a06480755876757b631f2255fde049ef6c750b6cf95be6f9

Aliases

arxiv: 2605.20718 · arxiv_version: 2605.20718v1 · doi: 10.48550/arxiv.2605.20718 · pith_short_12: JZONJ646JVJQ · pith_short_16: JZONJ646JVJQFIDE · pith_short_8: JZONJ646

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/JZONJ646JVJQFIDEQB2VQ5TVPN \
  | 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: 4e5cd4fb9e4d5302a06480755876757b631f2255fde049ef6c750b6cf95be6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878326038277a71b1640fd5280a344c5dc2dc55f5feb1a7f512395580846a203",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-20T05:19:53Z",
    "title_canon_sha256": "e7e4d9b84aa3300f72be23485f3584b0024193b848b09968ae855676bbf63ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20718",
    "kind": "arxiv",
    "version": 1
  }
}