Pith Number

pith:CHZLP2K5

pith:2025:CHZLP2K54OI5DQRU5JSCHN3N5S

not attested not anchored not stored refs pending

Quantitative positivity of transition densities for random perturbations of Hamiltonian systems

David P. Herzog, Kyle L. Liss, Shimaa Elesaely

arxiv:2509.02448 v1 · 2025-09-02 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHZLP2K54OI5DQRU5JSCHN3N5S}

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	2026-07-05T12:03:38.754974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f2b7e95de391d1c234ea6423b76deca2e753a93ee25221a22f01b31e398380

Aliases

arxiv: 2509.02448 · arxiv_version: 2509.02448v1 · doi: 10.48550/arxiv.2509.02448 · pith_short_12: CHZLP2K54OI5 · pith_short_16: CHZLP2K54OI5DQRU · pith_short_8: CHZLP2K5

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/CHZLP2K54OI5DQRU5JSCHN3N5S \
  | 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: 11f2b7e95de391d1c234ea6423b76deca2e753a93ee25221a22f01b31e398380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0fa0127baf3ec563beaf08d7854db6515941eb04f9bb5d6fbb69bbeb0eb673",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-02T15:56:24Z",
    "title_canon_sha256": "cebeabbc92eebac58b8647b18d90187e7aa7553a76cef1552651467c3db17bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02448",
    "kind": "arxiv",
    "version": 1
  }
}