pith. sign in
Pith Number

pith:KF4ZHMJT

pith:2013:KF4ZHMJTJRTVNCNLLWJ6N4IJJQ
not attested not anchored not stored refs pending

Hamiltonian description of self-consistent wave-particle dynamics in a periodic structure

Fabrice Doveil (PIIM), Fr\'ed\'eric Andr\'e, Nikita M. Ryskin, Pierre Bernardi (PIIM), Yves Elskens (PIIM)

arxiv:1303.6143 v2 · 2013-03-25 · nlin.CD · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KF4ZHMJTJRTVNCNLLWJ6N4IJJQ}

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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 2026-05-18T03:15:57.493028Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

517993b1334c675689ab5d93e6f1094c208795036fb6d0d95e6e0401a919d648

Aliases

arxiv: 1303.6143 · arxiv_version: 1303.6143v2 · doi: 10.48550/arxiv.1303.6143 · pith_short_12: KF4ZHMJTJRTV · pith_short_16: KF4ZHMJTJRTVNCNL · pith_short_8: KF4ZHMJT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KF4ZHMJTJRTVNCNLLWJ6N4IJJQ \
  | 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: 517993b1334c675689ab5d93e6f1094c208795036fb6d0d95e6e0401a919d648
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "56d9e32ceaa48873b95f37cf342739148e542d242d1401ae4e504d3b6cbc2876",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-03-25T14:38:37Z",
    "title_canon_sha256": "b594727ced50d74f86e44e0887c7ea05172c075f0f2f8b5003c807335c50be3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6143",
    "kind": "arxiv",
    "version": 2
  }
}