Pith Number

pith:GCDWENHK

pith:2026:GCDWENHKFL57DOSBSEBZWHHOEK

not attested not anchored not stored refs pending

Stationary Bohmian superposition under amplitude and phase modulation

Anand Aruna Kumar

Nonlinear Bohm-Madelung superposition recovers linear Fourier-Bessel spectra in the quasi-coherent regime

arxiv:2605.03324 v3 · 2026-05-05 · quant-ph

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\usepackage{pith}
\pithnumber{GCDWENHKFL57DOSBSEBZWHHOEK}

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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

Despite this intrinsic nonlinearity, a linear spectral structure re emerges through a Jacobi Anger expansion, yielding a Fourier Bessel representation with square summable coefficients and translation covariant weights.

C2weakest assumption

The quasi coherent regime of near degenerate stationary branches allows the dynamics to separate into a mean amplitude governed by an Ermakov Pinney equation and a difference amplitude obeying a parametrically driven Hill Mathieu equation.

C3one line summary

In the quasi-coherent regime of Bohm-Madelung waves, nonlinear superposition separates into Ermakov-Pinney mean amplitude and Mathieu difference amplitude dynamics, recovering a Jacobi-Anger Fourier-Bessel representation for interference.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-27T01:04:58.675348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30876234ea2afbf1ba4191039b1cee22a2bbd8d7828ff83f99514e8c3e29452d

Aliases

arxiv: 2605.03324 · arxiv_version: 2605.03324v3 · doi: 10.48550/arxiv.2605.03324 · pith_short_12: GCDWENHKFL57 · pith_short_16: GCDWENHKFL57DOSB · pith_short_8: GCDWENHK

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/GCDWENHKFL57DOSBSEBZWHHOEK \
  | 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: 30876234ea2afbf1ba4191039b1cee22a2bbd8d7828ff83f99514e8c3e29452d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1aba0fc38df61134c186932513e386bb69d26312b59ea1e78757a3af0486682",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-05T03:28:25Z",
    "title_canon_sha256": "84c2c2e581d33ecd29a7a9015d7082e516666df06cbd3da758debcd799cd4b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03324",
    "kind": "arxiv",
    "version": 3
  }
}