Pith Number

pith:C2SXX63T

pith:2026:C2SXX63T7XCIQUL6YLHTXVEMY7

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The filter of singularities in global anisotropic microlocal analysis

Luigi Rodino, Patrik Wahlberg

A filter encodes time-frequency anisotropic global singularities for tempered distributions and tracks their propagation under Schrödinger-type equations

arxiv:2604.19619 v2 · 2026-04-21 · math.AP · math.FA

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\pithnumber{C2SXX63T7XCIQUL6YLHTXVEMY7}

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Record completeness

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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 define a filter of time-frequency anisotropic global singularities of phase space for tempered distributions. The filter contains information from the corresponding anisotropic Gabor wave front set and admits propagation results for the Cauchy problem for certain linear evolution equations of Schrödinger type that generalize the harmonic oscillator.

C2weakest assumption

The assumption that a consistent filter can be defined that both captures the anisotropic Gabor wave front set information and allows for the stated propagation results in the context of tempered distributions and the specified class of equations.

C3one line summary

A new filter of anisotropic global singularities is defined that includes information from the anisotropic Gabor wave front set and permits propagation of singularities for certain Schrödinger-type equations.

Receipt and verification

First computed	2026-06-08T01:04:05.209520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a57bfb73fdc488517ec2cf3bd48cc7c6e393194715d7c8c2bb24ffdcf0e603

Aliases

arxiv: 2604.19619 · arxiv_version: 2604.19619v2 · doi: 10.48550/arxiv.2604.19619 · pith_short_12: C2SXX63T7XCI · pith_short_16: C2SXX63T7XCIQUL6 · pith_short_8: C2SXX63T

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/C2SXX63T7XCIQUL6YLHTXVEMY7 \
  | 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: 16a57bfb73fdc488517ec2cf3bd48cc7c6e393194715d7c8c2bb24ffdcf0e603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d3c6b5b9999ba65ead066ef9ff994c4efc8b37e13686ec9dfe033c9de83717",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-04-21T16:06:41Z",
    "title_canon_sha256": "38dac16efd97463314004b20646e4fd1daa01d5b3880a644982d3f1cc68f3b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19619",
    "kind": "arxiv",
    "version": 2
  }
}