Pith Number

pith:WA34ENRX

pith:2025:WA34ENRXUSQPU7X7V42YOFDQ6U

not attested not anchored not stored refs pending

Learning Hamiltonian Dynamics at Scale: A Differential-Geometric Approach

Alyx Liao, Danica Kragic, Katharina Friedl, No\'emie Jaquier

arxiv:2509.24627 v1 · 2025-09-29 · 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{WA34ENRXUSQPU7X7V42YOFDQ6U}

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	2026-05-17T23:39:21.968645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b037c23637a4a0fa7effaf35871470f53909ddebc370ae6cc5d5b7ea45ea197f

Aliases

arxiv: 2509.24627 · arxiv_version: 2509.24627v1 · doi: 10.48550/arxiv.2509.24627 · pith_short_12: WA34ENRXUSQP · pith_short_16: WA34ENRXUSQPU7X7 · pith_short_8: WA34ENRX

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/WA34ENRXUSQPU7X7V42YOFDQ6U \
  | 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: b037c23637a4a0fa7effaf35871470f53909ddebc370ae6cc5d5b7ea45ea197f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdb1571f1db092dcf09530debb012a4a549f0883f529c713289ea8af72ff172",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-29T11:36:35Z",
    "title_canon_sha256": "f8c553063d0262a3f6fbaca807d79be5cf9166403909690d44f947192638e056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24627",
    "kind": "arxiv",
    "version": 1
  }
}