pith. sign in
Pith Number

pith:QOGNSONG

pith:2011:QOGNSONGY2CMLN325DETFE22WR
not attested not anchored not stored refs pending

Vlasov equation for long-range interactions on a lattice

F. Staniscia, Giovanni De Ninno, Romain Bachelard, Stefano Ruffo (Phys-ENS), Thierry Dauxois (Phys-ENS)

arxiv:1102.0614 v4 · 2011-02-03 · nlin.CD · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QOGNSONGY2CMLN325DETFE22WR}

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 2026-05-18T02:20:11.229873Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

838cd939a6c684c5b77ae8c932935ab458cc85cc61878f9c4480e7ff6f40e1e2

Aliases

arxiv: 1102.0614 · arxiv_version: 1102.0614v4 · doi: 10.48550/arxiv.1102.0614 · pith_short_12: QOGNSONGY2CM · pith_short_16: QOGNSONGY2CMLN32 · pith_short_8: QOGNSONG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QOGNSONGY2CMLN325DETFE22WR \
  | 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: 838cd939a6c684c5b77ae8c932935ab458cc85cc61878f9c4480e7ff6f40e1e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9bc9a157a59d1c18e5a9100d40ee2da1c8e9a871d4decd039bb47ed5a3967f3d",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-02-03T07:59:43Z",
    "title_canon_sha256": "27cc3478f0844fd1f27cadb106e76e42871d39b97a571f12c9b1a56b3fda7e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0614",
    "kind": "arxiv",
    "version": 4
  }
}