Pith Number

pith:MLRC5RWL

pith:2024:MLRC5RWLBXXEJOMVZD2XT5GLLK

not attested not anchored not stored refs pending

A variational perspective on the dissipative Hamiltonian structure of the Vlasov-Fokker-Planck equation

Sangmin Park

arxiv:2406.13682 v2 · 2024-06-19 · math.AP · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLRC5RWLBXXEJOMVZD2XT5GLLK}

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	2026-07-05T10:01:13.854410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e22ec6cb0dee44b995c8f579f4cb5aba28277cc14af59adcac7bd337701d1c

Aliases

arxiv: 2406.13682 · arxiv_version: 2406.13682v2 · doi: 10.48550/arxiv.2406.13682 · pith_short_12: MLRC5RWLBXXE · pith_short_16: MLRC5RWLBXXEJOMV · pith_short_8: MLRC5RWL

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/MLRC5RWLBXXEJOMVZD2XT5GLLK \
  | 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: 62e22ec6cb0dee44b995c8f579f4cb5aba28277cc14af59adcac7bd337701d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b72deff31dc9c778eab3c6cc862562a2e4d5de4980b67618dc680f5b398358",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-19T16:37:13Z",
    "title_canon_sha256": "220692efdb08e13daf7c01063684ceae08c526304d9eb07fa507a47e3c31a090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.13682",
    "kind": "arxiv",
    "version": 2
  }
}