Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:10:52.844604Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 3 inbound Pith citation observations for arXiv:2505.08603.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:10:52.844604Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:10:52.420075Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T11:26:23.395877Z
68 of 68 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 662d0013-22f8-4bd2-96b2-b0c23d9ebdc9 · outbound
Probing the Universe's Topology through a Quantum System? Building upon these results, we develop a sys- tematic method to derive the energy eigenvalue equation for characteristic topologies starting from Eq
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec801a0e-ab01-483f-8220-5bfb765f52d0 · outbound
Probing the Universe's Topology through a Quantum System? Probing the Universe's Topology through a Quantum System?
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8922d34c-8f5e-4894-9444-7844393614d9 · outbound
Probing the Universe's Topology through a Quantum System? (19) We consider the potentialV (x) =−ϵδ(x), define the pos- itive parameter g≡ mϵ ℏ2 , and introduce the characteristic length scale α≡ 1/g
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5bb9017d-62bb-4415-8566-50039513eac0 · outbound
Probing the Universe's Topology through a Quantum System? For example, the fundamental domain corresponds to the cubic region {(x,y,z )∈ R3|−L/2≤x,y,z ≤L/2} with the observer positioned at the cube’s center
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2521b41c-af0c-483d-9422-d9d7a76981f0 · outbound
Probing the Universe's Topology through a Quantum System? The eigenfunctions are ob- tained as linear combinations of plane-wave solutions on the universal cover R3, carefully combined to ensure in- variance under the corresponding group
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8557aa70-e5cd-4467-a712-d3fb64c4cc3e · outbound
Probing the Universe's Topology through a Quantum System? This sets the characteristic length scale of the system to α≈ 0.529× 10−10 m
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 288894fb-1946-4f95-a37c-a9392d56b05c · outbound
Probing the Universe's Topology through a Quantum System? We set the characteristic length scale as gR = 4πϵ0ℏ2 mee2 ≈ 0.529× 10−10 m
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a9b594a6-9c42-479f-9a26-c4b3fb7c25d8 · outbound
Probing the Universe's Topology through a Quantum System? On Topological Modifications of Newton's Law
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9f6afefa-7914-48d1-a8b7-38d8fcbe49a0 · outbound
Probing the Universe's Topology through a Quantum System? Lower bounds of characteristic scale of topological modification of the Newtonian gravitation
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7fb2f0fb-521a-4c50-b6c2-9fc4a006c6b0 · outbound
Probing the Universe's Topology through a Quantum System? A weak acceleration effect due to residual gravity in a multiply connected universe
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bdb17b86-1f0b-45a4-94ee-3648dfd580c6 · outbound
Probing the Universe's Topology through a Quantum System? On non-Euclidean Newtonian theories and their cosmological backreaction
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 525f6359-e79a-4d63-8cd0-60df8b601ba1 · outbound
Probing the Universe's Topology through a Quantum System? Gravitational potential in spherical topologies
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 54054c8c-1c1f-4d62-aa90-1921939981e1 · outbound
Probing the Universe's Topology through a Quantum System? Cosmological Horizons, Uncertainty Principle and Maximum Length Quantum Mechanics
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54240087-c862-4c46-a5c8-02512e1ae6e8 · outbound
Probing the Universe's Topology through a Quantum System? Maggiore, Phys
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4b6b6793-2a45-4384-8c60-33023010eba4 · outbound
Probing the Universe's Topology through a Quantum System? Review on Generalized Uncertainty Principle
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52195768-1de8-4559-8344-b3253285414e · outbound
Probing the Universe's Topology through a Quantum System? Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 37a01994-1bf7-4f91-b40a-16d8c2fb8596 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a5c91c9b-dab4-43d9-872a-a9d77fb7e100 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0a8af75c-e979-4f88-9c6d-8134c6c1eecd · outbound
Probing the Universe's Topology through a Quantum System? Cosmic Topology
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72df49b6-c795-4299-b6f7-5fb6e6791f0f · outbound
Probing the Universe's Topology through a Quantum System? Cosmic Crystallography
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b126ff46-56b0-4af3-acc9-6f8844543686 · outbound
Probing the Universe's Topology through a Quantum System? An improved cosmic crystallography method to detect holonomies in flat spaces
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9157c69-95de-4fbf-9142-489dde7695cf · outbound
Probing the Universe's Topology through a Quantum System? Promise of Future Searches for Cosmic Topology
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e370975e-2dab-4884-b8be-8d742ac27f8a · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac886133-9779-4752-bc46-886984dd0998 · outbound
Probing the Universe's Topology through a Quantum System? Cosmic topology. Part I. Limits on orientable Euclidean manifolds from circle searches
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2263895-54fb-4b48-955c-c63d5d9aa3a3 · outbound
Probing the Universe's Topology through a Quantum System? Cosmic topology. Part IIa. Eigenmodes, correlation matrices, and detectability of orientable Euclidean manifolds
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9c410e2-15d1-4983-9617-c98e19927a6c · outbound
Probing the Universe's Topology through a Quantum System? Cosmic topology. Part IIIa. Microwave background parity violation without parity-violating microphysics
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ffdfbc3a-c37e-49c7-9758-13d4cc5b5c90 · outbound
Probing the Universe's Topology through a Quantum System? Cosmic topology. Part IVa. Classification of manifolds using machine learning: a case study with small toroidal universes
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f501b6f2-4e24-4406-b2cd-f13b8ac45ad1 · outbound
Probing the Universe's Topology through a Quantum System? Cosmic topology. Part Ic. Limits on lens spaces from circle searches
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 18b9e984-7d49-4c0e-bc33-203e47507861 · outbound
Probing the Universe's Topology through a Quantum System? Cosmic topology. Part IIIb. Eigenmodes and correlation matrices of spin-2 perturbations in orientable Euclidean manifolds
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6af44c93-ecad-4daa-a2e9-9dbece2f4e06 · outbound
Probing the Universe's Topology through a Quantum System? Circles in the Sky: Finding Topology with the Microwave Background Radiation
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d27bb8be-b02c-4839-9a91-37c4fde9d329 · outbound
Probing the Universe's Topology through a Quantum System? Topology beyond the horizon: how far can it be probed?
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0703ef06-0910-479e-b35d-2808deb1bb78 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4059a224-3a2a-43ea-bab5-859e7bb3e48d · outbound
Probing the Universe's Topology through a Quantum System? Stevens, D
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e99242f8-671b-4635-af0a-e32dfff79843 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f9e56eb-7dae-495a-99a4-8b20079f4f84 · outbound
Probing the Universe's Topology through a Quantum System? Dodelson, Modern Cosmology (Academic Press, Ams- terdam, 2003)
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5878275-6bff-433b-9dc0-834e32535d48 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fffafd82-3b78-4dfd-bd7b-3e815d1a74bc · outbound
Probing the Universe's Topology through a Quantum System? Frankel, The geometry of physics: An introduction (1997)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 67b6ae22-8cc8-4f5e-b92e-ab35e596e1fd · outbound
Probing the Universe's Topology through a Quantum System? Riazuelo, J
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 398d8656-9a45-4823-9663-71f4adc0424e · outbound
Probing the Universe's Topology through a Quantum System? Exact Green's functions for delta-function potentials and renormalization in quantum mechanics
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 94eb7ef8-85a7-47d1-99b9-db2310e86016 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b4e60c15-aa75-4d2a-93a2-2d6fba5c333e · outbound
Probing the Universe's Topology through a Quantum System? Gosdzinsky and R
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 44eae4d8-6b17-4572-902c-8dc62364c269 · outbound
Probing the Universe's Topology through a Quantum System? Perturbative Renormalization in Quantum Mechanics
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 890d4ca1-7ac3-416b-a646-50a503a37d1b · outbound
Probing the Universe's Topology through a Quantum System? Renormalized Path Integral in Quantum Mechanics
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 69044240-2b30-422c-a69c-870991ebf4e6 · outbound
Probing the Universe's Topology through a Quantum System? Renormalization in Nonrelativistic Quantum Mechanics
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4fc4f2cc-12f9-4762-846b-0b79f42aeac7 · outbound
Probing the Universe's Topology through a Quantum System? Renormalized Contact Potential in Two Dimensions
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ef0949b1-41da-4de0-94ea-3acc03676722 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 12d7d9bb-d7b9-44c7-af68-214dac2a857c · outbound
Probing the Universe's Topology through a Quantum System? Mitra, A
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 49fd5ea5-93a9-4768-b3b9-15859330e263 · outbound
Probing the Universe's Topology through a Quantum System? Ferkous, Phys
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 68ec5c38-4358-4aa5-90f9-a13099537fa2 · outbound
Probing the Universe's Topology through a Quantum System? An Wong and S.-L
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 62061e2e-ddbc-4993-b7d5-f30ddb13739e · outbound
Probing the Universe's Topology through a Quantum System? Finitely Many Dirac-Delta Interactions on Riemannian Manifolds
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e505e09f-1570-44f3-98fb-21beee6547bb · outbound
Probing the Universe's Topology through a Quantum System? Point Interaction in two and three dimensional Riemannian Manifolds
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4654f7a7-31a9-4f25-b196-78c289e7416e · outbound
Probing the Universe's Topology through a Quantum System? On Schr\"{o}dinger Operators Modified by $\delta$ Interactions
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 13fb5b99-a916-4e94-96e4-bd203ae2f6bc · outbound
Probing the Universe's Topology through a Quantum System? Completeness Rela- tion in Renormalized Quantum Systems,
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6e38a2b5-8b23-4576-af3a-3bdaa20cc32b · outbound
Probing the Universe's Topology through a Quantum System? Effective Lagrangians in bound state calculations
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3e0320d8-a7ec-4bf9-88dd-2c1fa8e5fb47 · outbound
Probing the Universe's Topology through a Quantum System? Bernard, M
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bb4f64c7-7a5c-4026-b7eb-b3aabb5d5f73 · outbound
Probing the Universe's Topology through a Quantum System? Scalar mesons in a finite volume
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4a66a480-a5fb-4019-8de9-046a81828724 · outbound
Probing the Universe's Topology through a Quantum System? Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db7a4b74-9c52-4909-b5c9-425e9803f6a6 · outbound
Probing the Universe's Topology through a Quantum System? Vector particle scattering on the lattice
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00784a30-b9c4-459d-a892-49cbeae0e4d4 · outbound
Probing the Universe's Topology through a Quantum System? Relativistic $N$-particle energy shift in finite volume
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 040a2aed-40c2-4c62-9620-3decb0229bee · outbound
Probing the Universe's Topology through a Quantum System? M¨ uller, T
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7fded3a1-c59a-460b-af47-5fcb2900f653 · outbound
Probing the Universe's Topology through a Quantum System? Testing a new method for scattering in finite volume in the $\phi^4$ theory
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bae84201-b9a8-4aec-8c5c-babe705addf7 · outbound
Probing the Universe's Topology through a Quantum System? Bubna, F
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8154b72e-f649-4b4a-8fe2-773234a62a5d · outbound
Probing the Universe's Topology through a Quantum System? Spectrum of three-body bound states in a finite volume
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b43993b-29b9-4149-a835-294b0c7c33a3 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1e48dad3-9104-49f0-a09d-c8efb7957f40 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fcd5f8e3-cf53-426c-a90f-6b013f04fc36 · outbound
Probing the Universe's Topology through a Quantum System? Meißner and A
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e89b3d8b-a1a8-4279-b82a-accd07e94534 · outbound
Probing the Universe's Topology through a Quantum System? Planck 2018 results. VI. Cosmological parameters
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3e7ce60-e3bf-48ed-867b-1569b551f328 · outbound
Probing the Universe's Topology through a Quantum System? Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec801a0e-ab01-483f-8220-5bfb765f52d0 · inbound
Probing the Universe's Topology through a Quantum System? Probing the Universe's Topology through a Quantum System?
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e8c7542-acc1-4381-be24-a1e908fee8c5 · inbound
Orbital angular momentum can take non-integer values in a closed universe Probing the Universe's Topology through a Quantum System?
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fc30611b-312d-49a5-8529-dceae02618b9 · inbound
Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows Probing the Universe's Topology through a Quantum System?
Reference 127
Source-reported events for the cited work
Unavailable: canonical work link unavailable.