Pith Number

pith:PYTX54BZ

pith:2026:PYTX54BZRTDSFV4QPL6APDSGHP

not attested not anchored not stored refs pending

Latent Lie-Poisson Neural Networks (LLPNNs): Discovering the motion of Lie-Poisson systems through observable data and latent dynamics

Vakhtang Putkaradze

arxiv:2607.28939 v1 · 2026-07-31 · cs.LG · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYTX54BZRTDSFV4QPL6APDSGHP}

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	2026-08-03T01:17:31.957240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e277ef0398cc722d7907afc078e463bfac7a5f9a7be70b647558da937995e0a

Aliases

arxiv: 2607.28939 · arxiv_version: 2607.28939v1 · doi: 10.48550/arxiv.2607.28939 · pith_short_12: PYTX54BZRTDS · pith_short_16: PYTX54BZRTDSFV4Q · pith_short_8: PYTX54BZ

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/PYTX54BZRTDSFV4QPL6APDSGHP \
  | 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: 7e277ef0398cc722d7907afc078e463bfac7a5f9a7be70b647558da937995e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838cfad86e91bc475388cdd1ea049dc06c7caa6d915bd91ee337407e8330028f",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-31T01:38:37Z",
    "title_canon_sha256": "d840421c122c564453e280fabe4c5e72658a6c80106124fa4b032a65de6cf208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28939",
    "kind": "arxiv",
    "version": 1
  }
}