Pith Number

pith:YHKVFMLN

pith:2018:YHKVFMLNMVZIQUI5DHQV3KFNLJ

not attested not anchored not stored refs pending

Hamiltonian Systems with L\'evy Noise: Symplecticity, Hamilton's Principle and Averaging Principle

Jinqiao Duan, Pingyuan Wei, Ying Chao

arxiv:1812.11395 v3 · 2018-12-29 · 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{YHKVFMLNMVZIQUI5DHQV3KFNLJ}

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	2026-05-17T23:39:47.559257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1d552b16d657288511d19e15da8ad5a41d71d4c445733c0c5a42df0c33d83ee

Aliases

arxiv: 1812.11395 · arxiv_version: 1812.11395v3 · doi: 10.48550/arxiv.1812.11395 · pith_short_12: YHKVFMLNMVZI · pith_short_16: YHKVFMLNMVZIQUI5 · pith_short_8: YHKVFMLN

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/YHKVFMLNMVZIQUI5DHQV3KFNLJ \
  | 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: c1d552b16d657288511d19e15da8ad5a41d71d4c445733c0c5a42df0c33d83ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11dddffde22eb2f0f966f77a065a9825644593a9190e3b025d68379e2be69787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-29T16:33:21Z",
    "title_canon_sha256": "0d944cbd2f2bb9f3361526f735a725f77ad6cefe8cb624affc56a6db7ff3b8b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11395",
    "kind": "arxiv",
    "version": 3
  }
}