Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:20:21.691698Z
Paper Citation Record · LEDGER
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators
As of 22 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2509.04381.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-29T02:53:56.938113Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T17:55:51.745256Z
Reference resolution
34 of 34 outbound references displayed
- verified exact3
- verified fuzzy20
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f8cd093c-290e-4696-990b-1a213bb8bab6 · outbound
This paper cites Abdul-Rahman, M.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Abdul-Rahman, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.154092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9ab69a54-f28c-4773-90dd-a135c303b417 · outbound
This paper cites Abdul-Rahman, M.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Abdul-Rahman, M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.141313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 91d36185-2656-4b3b-a854-4fff31f5bcc2 · outbound
This paper cites Abdul-Rahman and G.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Abdul-Rahman and G
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.130570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fa678bbe-7f44-4c3a-93d0-32f0f6251219 · outbound
This paper cites Ahlbrecht, H.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Ahlbrecht, H
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.119918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation be8f5733-02a6-430a-8c6e-f028fa50240c · outbound
This paper cites Aizenman and S.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Aizenman and S
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.109366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 278b0601-a504-451b-abde-898e8dae06a5 · outbound
This paper cites Arbunich, J.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Arbunich, J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.097739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dd4c9053-9b1e-4d72-94d5-355e0349ae17 · outbound
This paper cites Asch and A.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Asch and A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.086017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b6920ae3-4e05-43af-a71f-3b0806df8949 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:22.075002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7438ecf5-301b-4b4e-a316-383fb53e0b41 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:22.063983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 79778c2c-9f72-4970-aaac-586202be058e · outbound
This paper cites Boutet de Monvel and M.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Boutet de Monvel and M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.052879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4b45c6af-9fc4-4e77-b973-bf908592ec62 · outbound
This paper cites Light cones for open quantum systems.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Light cones for open quantum systems
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:20:21.823354Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 39e9cce6-4f09-49b5-8be3-c1990a858899 · outbound
This paper cites Cedzich, A.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Cedzich, A
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:20:21.617046Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc3d21c7-2290-411e-9d66-09741e30719c · outbound
This paper cites Damanik, J.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Damanik, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.042134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3d42d11c-6499-4884-98d5-60335968e1c9 · outbound
This paper cites Optimal dispersion for discrete periodic Schr\"odinger operators.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Optimal dispersion for discrete periodic Schr\"odinger operators
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:20:21.742253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 02da186f-c3b0-40c4-bf98-a8ad4d430e4d · outbound
This paper cites Damanik, M.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Damanik, M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.031454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 05b2f102-2a58-43bd-8cfb-0514214ff28a · outbound
This paper cites Damanik, T.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Damanik, T
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:22.020715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b4ac9c5a-4316-467d-9c46-fe5fe220cd76 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:22.008677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ed9f3030-79f5-4227-9bad-142fbc2ce917 · outbound
This paper cites Faust and I.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Faust and I
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.997620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 18e71f0c-43f1-4e31-959c-303309ac0bd6 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.987549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a1013461-1e06-4eff-b073-a48fc0e08025 · outbound
This paper cites Fillman, W.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Fillman, W
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.977340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 40c0e300-70e8-4886-9637-269aadf73a8f · outbound
This paper cites Fillman, W.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Fillman, W
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.966295Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation adfa8dcb-48cd-47bf-81af-ab404d5eeee4 · outbound
This paper cites Fisher, W.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Fisher, W
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.955156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a9460346-dffd-4802-80d2-2a07584058ab · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.944000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fef489c4-bf81-4c3d-af9f-29f3c13ebcc6 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.933967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a4dd8bcb-bd11-4cda-bc18-b6ebaf7f0e31 · outbound
This paper cites Kato.Perturbation Theory for Linear Operators.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Kato.Perturbation Theory for Linear Operators
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.923921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4ba502bb-0e5e-4f13-9976-1754631864a9 · outbound
This paper cites Kuchment.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Kuchment
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.913002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9ee2988a-7f90-4ffb-8225-86ba5ab9800c · outbound
This paper cites Kuchment.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Kuchment
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.903195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2787a7df-dab4-4702-9f77-fa9cf09e2137 · outbound
This paper cites Li and S.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Li and S
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.891492Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bb7c86f4-fe56-4a39-b421-f1e2303c6402 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.879686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 25839988-7d4d-49b7-8ea7-2cc2e343f23d · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.867850Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation eb05a74d-6fb5-4a31-a8f3-a08ee1193089 · outbound
This paper cites Reed and B.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Reed and B
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T10:20:21.857090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e47edfa7-94da-480c-851c-96bb1b6801cb · outbound
This paper cites Dispersive Decay Estimates for periodic Jacobi operators on the half-line.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Dispersive Decay Estimates for periodic Jacobi operators on the half-line
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:20:21.727764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 13d148f8-4a72-478a-9ecb-28cdbbe20152 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.845989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6a7d5083-af0d-41b8-99c6-ab98852285c0 · outbound
This paper cites an unresolved cited work.
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T10:20:21.834208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 104cc970-d3ca-432a-95dd-c7c0faa611b6 · inbound
Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites cites this paper.
Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-09T22:54:16.529605Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3585bc48-e74d-496c-a3ef-1ae4b9c23bfc · inbound
Bottleneck Effects and Harmonic-Type Velocity Bounds for Periodic Quantum Walks cites this paper.
Bottleneck Effects and Harmonic-Type Velocity Bounds for Periodic Quantum Walks Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T17:55:51.747126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.