Pith Number

pith:AODKWIFQ

pith:2026:AODKWIFQZK26FIC3JM2DS4G64F

not attested not anchored not stored refs pending

Liouville integrable Lotka-Volterra systems

David I. McLaren, G.R.W. Quispel, Peter H. van der Kamp

Lotka-Volterra systems in 2m and 2m-1 dimensions form large Liouville integrable families.

arxiv:2604.01743 v3 · 2026-04-02 · nlin.SI

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\pithnumber{AODKWIFQZK26FIC3JM2DS4G64F}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We present m²/4 + m/2 + (1-(-1)^m)/8 homogeneous (3m-2)-parameter families of Liouville integrable (2m)- and (2m-1)-dimensional Lotka-Volterra systems.

C2weakest assumption

That the constructed systems actually possess a sufficient number of independent, commuting integrals of motion to satisfy the Liouville criterion (details of the Poisson structure and integrals are not visible in the abstract).

C3one line summary

Explicit families of Liouville integrable Lotka-Volterra systems are constructed, with (3m-2) free parameters in (2m) and (2m-1) dimensions for each integer m.

Receipt and verification

First computed	2026-06-09T02:07:25.918244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0386ab20b0cab5e2a05b4b343970dee168e54ea85d76ee54a8dd5b05145404e3

Aliases

arxiv: 2604.01743 · arxiv_version: 2604.01743v3 · doi: 10.48550/arxiv.2604.01743 · pith_short_12: AODKWIFQZK26 · pith_short_16: AODKWIFQZK26FIC3 · pith_short_8: AODKWIFQ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AODKWIFQZK26FIC3JM2DS4G64F \
  | 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: 0386ab20b0cab5e2a05b4b343970dee168e54ea85d76ee54a8dd5b05145404e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca013f0ba1300e4f03d59d176f2ae50a813a297bb84763c45a085b099d63509",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-04-02T08:03:27Z",
    "title_canon_sha256": "a3862475cdccd56d2809f8855d5367e4ea450d62334e186806ef97b03dc3ea50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01743",
    "kind": "arxiv",
    "version": 3
  }
}