Pith Number

pith:EAUP5AH3

pith:2026:EAUP5AH3ZTCTH3YXDG5VK57NFU

not attested not anchored not stored refs pending

Continuous-Time Reinforcement Learning for $N$-Player Stochastic Differential Games with Exploratory Policies

Jing Zhang, Jisheng Liu

arxiv:2607.19928 v1 · 2026-07-22 · 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{EAUP5AH3ZTCTH3YXDG5VK57NFU}

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	2026-07-23T01:24:44.302728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2028fe80fbccc533ef1719bb5577ed2d093260fe407e2e038d169fca4c05c2f8

Aliases

arxiv: 2607.19928 · arxiv_version: 2607.19928v1 · doi: 10.48550/arxiv.2607.19928 · pith_short_12: EAUP5AH3ZTCT · pith_short_16: EAUP5AH3ZTCTH3YX · pith_short_8: EAUP5AH3

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/EAUP5AH3ZTCTH3YXDG5VK57NFU \
  | 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: 2028fe80fbccc533ef1719bb5577ed2d093260fe407e2e038d169fca4c05c2f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f63dc9b83121444bbcdb527abb288045dacd1bea54dd972970fcf772f9bdab6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-22T09:00:00Z",
    "title_canon_sha256": "96f60c48d1d9f949534b34eeb9b3ab6169e8467a5c06deb73b8d9b3236fa619b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19928",
    "kind": "arxiv",
    "version": 1
  }
}