pith. sign in
Pith Number

pith:CXKR4BEK

pith:2013:CXKR4BEKPXM7LPAZ7OHLHJGGPX
not attested not anchored not stored refs pending

On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation - Case of the Hamiltonian mean-field model

Julien Barre, Yoshiyuki Y. Yamaguchi

arxiv:1311.3182 v1 · 2013-11-13 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CXKR4BEKPXM7LPAZ7OHLHJGGPX}

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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 2026-05-18T03:07:12.781282Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

15d51e048a7dd9f5bc19fb8eb3a4c67dd64463f2a36b93a518ce009cf09d2e78

Aliases

arxiv: 1311.3182 · arxiv_version: 1311.3182v1 · doi: 10.48550/arxiv.1311.3182 · pith_short_12: CXKR4BEKPXM7 · pith_short_16: CXKR4BEKPXM7LPAZ · pith_short_8: CXKR4BEK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CXKR4BEKPXM7LPAZ7OHLHJGGPX \
  | 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: 15d51e048a7dd9f5bc19fb8eb3a4c67dd64463f2a36b93a518ce009cf09d2e78
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e3185653edbf3660c4a24728b1ab0ccf3d82771ffc92d50524f9d01c5c04d727",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-13T15:47:37Z",
    "title_canon_sha256": "7b13531579379c299c8f64ef9e3477d1311b3414605554336355841b5ade77bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3182",
    "kind": "arxiv",
    "version": 1
  }
}