Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:53:10.560351Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:1908.06423.
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 2026-08-14T12:53:10.560351Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1014a244-c79c-43c8-9067-e7527e0b6eb8 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 64856c33-6cf2-44c7-8aec-24817746099f · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ahn et.al
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b438ae4-6436-4a8a-8b33-4a8087aad39d · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Mei et.al.High Performance Silicon Nanowire Field Effect Transistors, Nano Lett
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1c087a27-0307-4fde-8562-d6a05b49d6e6 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ko et.al
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4b5b960-f374-4b36-b517-731a65dcf363 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Park, A.P
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f662fdd5-bb2e-4cf8-a688-6d7d96e70eee · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b0e77fd-e060-42f7-a964-65c46098e9a4 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Jensen and H
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e42513d-bfe8-4acc-a379-8b49b979b929 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects da Costa
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c5dfb37b-ddaa-4737-80e3-c87b2e3636a7 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Physical Review A
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2aee6002-d2cb-42a1-801d-c5b3fa3f342a · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ortix Quantum mechanics of a spin-orbit coupled electron constrained to a space curve.PHYSICAL REVIEW B 91, 245412 (2015)
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df8c3d63-84f4-4a7f-919d-35cc5e5d1d6a · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Bastos , and F.G
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1b757ef8-f97a-417f-84f8-c7ae83ed9c78 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Matsutani
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 85d15b40-1a84-471c-822c-155ac4f0a7aa · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Encinosa, B
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 319b1058-47c9-4afa-bcfc-0773fafc5588 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Gravesen, M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 16b82b0d-26f6-4451-ae99-1d65c14f4a8e · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ikegami, Y
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bad37e26-3949-4d88-a45d-d3f609e0081a · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ferrari, G
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a800ef27-ca37-425a-8176-243117097b09 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects de Oliveira
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 467e6b01-8c7e-4983-ad40-b2ed114c5e90 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1503be83-6c80-4042-8771-9485ba4ded6b · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Filgueiras, F
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82082709-a0a0-48e4-8cc6-f442bb6ddba1 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Filgueiras, E
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9da5eda2-dff4-4472-b156-f6e488555c97 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Du, Y .-L
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d9e572c3-d6fc-43f4-865c-ffcdc1d85b64 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 32d0bc21-91eb-4d53-ade3-185982bdf9ca · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Gentile, M
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 38be900e-f49f-471d-bdf9-06d0a8b0f6e8 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Santos, S
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5651b73b-29be-4eca-9dd6-efb0026012ca · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Marchi, S
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a6340304-31cd-4d9a-97b3-c76d64396c7b · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Krejcirık
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 479f4a21-5e4d-4ab7-9032-2c2311122314 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Stockhofe and P
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7394a0f3-9fd8-4112-9c5e-5eec8d93b465 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects del Campo, M
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aa25feea-18b1-4f05-9be4-76d8ec76c48a · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 818d2171-d834-40c8-83a1-c7a7ed16614e · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Zhang, C.M
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f4300f0-e5db-4c37-a220-823b62eb6248 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Xu et.al
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 058e4057-76cb-4a7c-b62e-89f864f47a91 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Jones.A new polynomial invariant of knots and links, Bull
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fea6a910-9d5b-4033-a5a3-b654758c705c · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9e646d3c-be48-47ac-90f4-2af3feafd871 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d4efc13c-b324-4ccc-8446-1fd38fdf8e38 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation db1758a8-11e3-4ad1-8d33-2e05f40a2b4b · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Faddeev and A
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4591376-711f-4dd3-a199-66319ef93206 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Kedia, I
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0b46645-bd6e-43e7-80e6-61cf9c702590 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Bright Solitary Waves on a Torus: Existence, Stability and Dynamics for the Nonlinear Schr\"odinger Model
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c8d66947-4ed0-46cb-b8d6-a28da179ffbc · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Quantum field theory on toroidal topology: algebraic structure and applications
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation effbed2c-df0a-4cdf-90d8-ec47cac18a3d · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ohnuki and S
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65761ff7-2042-42c4-9b27-7d394855ca06 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09ce7ef1-6762-48c0-9018-66e260840294 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Rajaraman
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8ccc9c26-a56c-41d7-a31d-1a676fbfa2cc · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Wilczek.Fractional Statistics and Anyon Superconductivity, World Scientific Publishing Company Pvt
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d83d5b45-5606-4bb2-9a5a-12febd1735bb · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Sreedhar.The classical and quantum mechanics of a particle on a knot
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a401e51-dd07-49f2-807f-a970a6b26e91 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ohnuki and S
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cdee938e-dd1a-4038-803b-7e528cc68d38 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Floreanini, R
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7e80acbf-e4b1-42b3-9c34-ec7856758b05 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Takagi and T
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f272a5f6-b783-4815-91e7-61e1b584a855 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Moore The birth of topological insulators
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6f13173a-c231-4ded-b19c-acee080ce117 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8cc0e137-af57-401c-8ab0-e644daafe5c5 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Approximate solutions to Mathieu's equation
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 659164a2-0331-4fa4-baa2-8187ddea2fac · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects McLachlan
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3234bac1-7e15-43e6-974d-c2f1e845d682 · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fe8fcc2e-fb55-443f-98e6-d090bb653c5b · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a784c243-36ae-4b33-8de9-305ca3af18ff · outbound
Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Geometric Phases for Classical and Quantum Dynamics: Hannay angle and Berry Phase for Loops on a Torus
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.