Pith Number

pith:TYFTNG37

pith:2025:TYFTNG37YNLTG4YCF5PL4C6PXM

not attested not anchored not stored refs pending

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network

Chen Chen, Lijin Wang, Xupeng Cheng, Yanzhao Cao

arxiv:2507.14467 v1 · 2025-07-19 · math.DS · 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{TYFTNG37YNLTG4YCF5PL4C6PXM}

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	2026-07-05T11:40:07.576385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0b369b7fc3573373022f5ebe0bcfbb0e8239b35b1c6c8b53d37c39c2de8248

Aliases

arxiv: 2507.14467 · arxiv_version: 2507.14467v1 · doi: 10.48550/arxiv.2507.14467 · pith_short_12: TYFTNG37YNLT · pith_short_16: TYFTNG37YNLTG4YC · pith_short_8: TYFTNG37

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/TYFTNG37YNLTG4YCF5PL4C6PXM \
  | 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: 9e0b369b7fc3573373022f5ebe0bcfbb0e8239b35b1c6c8b53d37c39c2de8248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44565e9ab353d386914981954742511cecebbe1eb25214e2e4528282dd139022",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-19T03:59:04Z",
    "title_canon_sha256": "b1d6de7141683ad598068f8b50a8adfd02af62c0eebe30558b692371519a9dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14467",
    "kind": "arxiv",
    "version": 1
  }
}