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Pith Number

pith:FKGSXPQD

pith:2017:FKGSXPQDUWRQYGPZOVJHYIOFU2
not attested not anchored not stored refs pending

Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion

David M\'etivier, Julien Barr\'e

arxiv:1703.01668 v2 · 2017-03-05 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FKGSXPQDUWRQYGPZOVJHYIOFU2}

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 2026-05-18T00:05:00.709087Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a8d2bbe03a5a30c19f975527c21c5a682ff607e8bc1eee051e5845d5ec3f13c

Aliases

arxiv: 1703.01668 · arxiv_version: 1703.01668v2 · doi: 10.48550/arxiv.1703.01668 · pith_short_12: FKGSXPQDUWRQ · pith_short_16: FKGSXPQDUWRQYGPZ · pith_short_8: FKGSXPQD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FKGSXPQDUWRQYGPZOVJHYIOFU2 \
  | 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: 2a8d2bbe03a5a30c19f975527c21c5a682ff607e8bc1eee051e5845d5ec3f13c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f16f527ac2a7f30a34bbcd1d32897b4f66ecbd2463f8fad9515b218b620f0f6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-05T21:25:25Z",
    "title_canon_sha256": "d29fe85b6be08014122bec2695b8c74692ecd9519137fa260f40b17bfefadca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01668",
    "kind": "arxiv",
    "version": 2
  }
}