Pith Number

pith:BQG5WW32

pith:2026:BQG5WW325ZZPERR5I32O2O77J6

not attested not anchored not stored refs pending

Gr\"unwald--Letnikov Memory Truncation in a Fractional Duffing Oscillator: Coherence Loss and Effective Delay Complexity

Mattia Coccolo

Truncating the Grünwald-Letnikov memory in a fractional Duffing oscillator produces effective delay dynamics whose spectral structure sets both coherence loss and delay complexity.

arxiv:2605.03587 v2 · 2026-05-05 · nlin.CD

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\pithnumber{BQG5WW325ZZPERR5I32O2O77J6}

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Record completeness

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2 Internet Archive

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

The truncated GL kernel emerges as an intermediate object between distributed fractional memory and delay-type dynamics, with a local spectral structure that controls both coherence loss and effective delay complexity.

C2weakest assumption

That direct trajectory comparisons produce a robust coherence-loss time that reliably identifies critical truncation thresholds independent of numerical artifacts or initial conditions.

C3one line summary

Truncating Grünwald-Letnikov memory in fractional Duffing oscillators yields non-monotonic coherence-loss thresholds and an effective delay-complexity measure r_min from positive-delay kernel approximations.

Receipt and verification

First computed	2026-05-28T01:05:12.475062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c0ddb5b7aee72f2463d46f4ed3bff4f9b7795f061daa2a95df56bdeb6b5fecb

Aliases

arxiv: 2605.03587 · arxiv_version: 2605.03587v2 · doi: 10.48550/arxiv.2605.03587 · pith_short_12: BQG5WW325ZZP · pith_short_16: BQG5WW325ZZPERR5 · pith_short_8: BQG5WW32

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BQG5WW325ZZPERR5I32O2O77J6 \
  | 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: 0c0ddb5b7aee72f2463d46f4ed3bff4f9b7795f061daa2a95df56bdeb6b5fecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf4628f60a922f7ce37cf732b3f7c0b878e404d7e744d84bf42741bd9dcb47b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2026-05-05T10:01:37Z",
    "title_canon_sha256": "0828fba21caf10e91ed228060ef7d571e296356c4300f8f03ec16e98ff66e8e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03587",
    "kind": "arxiv",
    "version": 2
  }
}