Pith Number

pith:KB3CV6XW

pith:2026:KB3CV6XWFBJIV54HAO2DMXMZMJ

not attested not anchored not stored refs pending

Asymptotic Analysis of discrete nonlinear localised modes in a Kagome lattice

Andrew Pickering, Jonathan AD Wattis, Pilar R Gordoa

A nonlinear Kagome lattice reduces small-amplitude waves near a flat band to a novel coupled system of nonlinear Schrödinger equations.

arxiv:2605.10231 v2 · 2026-05-11 · nlin.PS · math.DS

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\usepackage{pith}
\pithnumber{KB3CV6XWFBJIV54HAO2DMXMZMJ}

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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.

Claims

C1strongest claim

We find a novel system of coupled NLS equations, by forming an asymptotic expansion for small amplitude weakly nonlinear waves around the point where the flat band meets the upper surface of the dispersion relation.

C2weakest assumption

The multiple-scale asymptotic expansion remains valid when the flat band touches the upper dispersive surface, with the chosen scaling of amplitude and slow variables correctly capturing the leading-order balance.

C3one line summary

Asymptotic reduction of a nonlinear Kagome lattice produces a novel 2+1D coupled NLS system whose solitary waves are further reduced via Lie symmetries.

Receipt and verification

First computed	2026-05-20T02:05:45.641909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50762afaf628528af78703b4365d996244ad3e96d23f7b501ef1f5d7ee55f854

Aliases

arxiv: 2605.10231 · arxiv_version: 2605.10231v2 · doi: 10.48550/arxiv.2605.10231 · pith_short_12: KB3CV6XWFBJI · pith_short_16: KB3CV6XWFBJIV54H · pith_short_8: KB3CV6XW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KB3CV6XWFBJIV54HAO2DMXMZMJ \
  | 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: 50762afaf628528af78703b4365d996244ad3e96d23f7b501ef1f5d7ee55f854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a940288c86baf13b3607c637c8e3cadb70dd4c2a35c86e94f7535f2575e67b6d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2026-05-11T09:09:02Z",
    "title_canon_sha256": "aaacfec7b6718efda59ac545410e389b21cdf309fa328fa936f5c534db35abaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10231",
    "kind": "arxiv",
    "version": 2
  }
}