Pith Number

pith:HOMLWYOU

pith:2021:HOMLWYOUWLTFAF4QPAF4NZJP2J

not attested not anchored not stored refs pending

Hamiltonian Operator Inference: Physics-preserving Learning of Reduced-order Models for Canonical Hamiltonian Systems

Boris Kramer, Harsh Sharma, Zhu Wang

arxiv:2107.12996 v2 · 2021-07-27 · math.NA · cs.NA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOMLWYOUWLTFAF4QPAF4NZJP2J}

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	2026-07-05T03:40:01.242379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b98bb61d4b2e6501790780bc6e52fd256f6dbc66d69e023b6d5b9449271ebc1

Aliases

arxiv: 2107.12996 · arxiv_version: 2107.12996v2 · doi: 10.48550/arxiv.2107.12996 · pith_short_12: HOMLWYOUWLTF · pith_short_16: HOMLWYOUWLTFAF4Q · pith_short_8: HOMLWYOU

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/HOMLWYOUWLTFAF4QPAF4NZJP2J \
  | 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: 3b98bb61d4b2e6501790780bc6e52fd256f6dbc66d69e023b6d5b9449271ebc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96343cffe17d909b21d126e5ff4e96b30de54b016ed80d8df3d6759236772f3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-07-27T17:59:24Z",
    "title_canon_sha256": "dc712982521d37a9247b84068f8f13a4116f93180a3031081af0e04f591f4a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.12996",
    "kind": "arxiv",
    "version": 2
  }
}