Pith Number

pith:WMYYPHYB

pith:2025:WMYYPHYBRXWYLYS2YLSGBVPNOL

not attested not anchored not stored refs pending

Kolmogorov-Arnold Representation for Symplectic Learning: Advancing Hamiltonian Neural Networks

Georgios Kementzidis, Luoyao Chen, Ruichen Xu, Siyao Wang, Yuefan Deng, Zongyu Wu

arxiv:2508.19410 v1 · 2025-08-26 · cs.LG · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMYYPHYBRXWYLYS2YLSGBVPNOL}

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	2026-07-05T12:00:10.994194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b331879f018ded85e25ac2e460d5ed72d4a740c988a885fa94e2ed765c443185

Aliases

arxiv: 2508.19410 · arxiv_version: 2508.19410v1 · doi: 10.48550/arxiv.2508.19410 · pith_short_12: WMYYPHYBRXWY · pith_short_16: WMYYPHYBRXWYLYS2 · pith_short_8: WMYYPHYB

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/WMYYPHYBRXWYLYS2YLSGBVPNOL \
  | 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: b331879f018ded85e25ac2e460d5ed72d4a740c988a885fa94e2ed765c443185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8559cfd718956086df70c220ccd5209b65222e2c88ebe1ee7be413fcb3fcd181",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-26T20:22:33Z",
    "title_canon_sha256": "8dc198aa51c0bc0ac66932ac68a2da372937c95f6946efc36b6e5aaed9c654c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19410",
    "kind": "arxiv",
    "version": 1
  }
}