Pith Number

pith:Z22WIRWA

pith:2025:Z22WIRWA25GGVC2EJJ3KPIMYBS

not attested not anchored not stored refs pending

The matrix weighted real-analytic double fibration transforms

Hiroyuki Chihara, Jesse Railo, Shubham R. Jathar

The real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function.

arxiv:2506.24067 v2 · 2025-06-30 · math.AP · math.DG

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\pithnumber{Z22WIRWA25GGVC2EJJ3KPIMYBS}

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Record completeness

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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 real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function.

C2weakest assumption

The underlying manifold is real-analytic, and for the ray transform injectivity result it is two-dimensional, non-trapping, and has strictly convex boundary (abstract states these conditions for the applications).

C3one line summary

Real-analytic matrix-weighted double fibration transforms determine the analytic wavefront set of vector-valued functions, implying injectivity of the matrix weighted ray transform on 2D non-trapping real-analytic Riemannian manifolds with strictly convex boundary and uniqueness of real-analytic H

Receipt and verification

First computed	2026-06-01T01:02:17.084530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb56446c0d74c6a8b444a76a7a1980c9ac06119eac60df9118d8b5db35ebc2c

Aliases

arxiv: 2506.24067 · arxiv_version: 2506.24067v2 · doi: 10.48550/arxiv.2506.24067 · pith_short_12: Z22WIRWA25GG · pith_short_16: Z22WIRWA25GGVC2E · pith_short_8: Z22WIRWA

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z22WIRWA25GGVC2EJJ3KPIMYBS \
  | 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: ceb56446c0d74c6a8b444a76a7a1980c9ac06119eac60df9118d8b5db35ebc2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f050f06b6b58d42315ae49dff16343c308a4fcb3e9b0f8f790db3512826fc4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-30T17:20:47Z",
    "title_canon_sha256": "1eeb472aed4add141c1e857fbf33656e5e80cd099b6e2a334de20afb35274f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.24067",
    "kind": "arxiv",
    "version": 2
  }
}