Pith Number

pith:QIPAWCYD

pith:2020:QIPAWCYD4HO65GWDHNHB67CM3A

not attested not anchored not stored refs pending

Lagrangian Neural Networks

David Spergel, Miles Cranmer, Peter Battaglia, Sam Greydanus, Shirley Ho, Stephan Hoyer

arxiv:2003.04630 v2 · 2020-03-10 · cs.LG · math.DS · physics.comp-ph · physics.data-an · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIPAWCYD4HO65GWDHNHB67CM3A}

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.

Cited by

37 papers in Pith

CaLiSym: Learning Symplectic Dynamics of Real-World Systems through Structured Canonical Lifts

Symplectic Neural Networks for learning Generalized Hamiltonians

SPADE: Structure-Prior Adaptive Decision Estimation

Locally Stable Neural ODEs with Characterized Region of Attraction

Physically Native World Models: A Hamiltonian Perspective on Generative World Modeling

Receipt and verification

First computed	2026-07-05T01:23:24.177648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821e0b0b03e1ddee9ac33b4e1f7c4cd82cad3f1c2cd31e09c9fcba3dad19151b

Aliases

arxiv: 2003.04630 · arxiv_version: 2003.04630v2 · doi: 10.48550/arxiv.2003.04630 · pith_short_12: QIPAWCYD4HO6 · pith_short_16: QIPAWCYD4HO65GWD · pith_short_8: QIPAWCYD

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/QIPAWCYD4HO65GWDHNHB67CM3A \
  | 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: 821e0b0b03e1ddee9ac33b4e1f7c4cd82cad3f1c2cd31e09c9fcba3dad19151b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8059f1f2a945e05ef9903af62fbb0fa2809d3fa81cee51f46920f5726f893587",
    "cross_cats_sorted": [
      "math.DS",
      "physics.comp-ph",
      "physics.data-an",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-03-10T10:55:25Z",
    "title_canon_sha256": "c9d76d4fe105bb6210604454eee2b2447423bf2922dc499e5ba5ac661e25063d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.04630",
    "kind": "arxiv",
    "version": 2
  }
}