pith. sign in
Pith Number

pith:3ZIWJR52

pith:2016:3ZIWJR526JSQWPUGRK5QWR7RNC
not attested not anchored not stored refs pending

A Lagrangian view on complete integrability of the two-component Camassa-Holm system

Jonathan Eckhardt, Katrin Grunert

arxiv:1605.05865 v1 · 2016-05-19 · nlin.SI · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3ZIWJR526JSQWPUGRK5QWR7RNC}

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 2026-05-18T00:30:33.039963Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

de5164c7baf2650b3e868abb0b47f1689656846fb41dc642f461eb3b8f815d9d

Aliases

arxiv: 1605.05865 · arxiv_version: 1605.05865v1 · doi: 10.48550/arxiv.1605.05865 · pith_short_12: 3ZIWJR526JSQ · pith_short_16: 3ZIWJR526JSQWPUG · pith_short_8: 3ZIWJR52
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3ZIWJR526JSQWPUGRK5QWR7RNC \
  | 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: de5164c7baf2650b3e868abb0b47f1689656846fb41dc642f461eb3b8f815d9d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "337fa69f64175176c0acc5ad1ad6a06c61dc43e99973572a1a35872165103e32",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-05-19T09:32:01Z",
    "title_canon_sha256": "02f5294eddc5fd3948960fdfbb33ce820c7fdb55240081475ef4c3e511615499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05865",
    "kind": "arxiv",
    "version": 1
  }
}