Pith. sign in

Paper Citation Record · LEDGER

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects

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.

pith.paper-citation-record.v1
1908.06423 v4

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:53:10.560351Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

54 of 54 outbound references displayed

  • verified exact5
  • verified fuzzy37
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1014a244-c79c-43c8-9067-e7527e0b6eb8 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.849681Z

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.

source=pdf_text observed=2026-08-14T12:53:10.260610Z digest=sha256:56af70846d018694ff657b7b40129c55f8b2fc6fb0cbc49701c87f6dbb028222

Observation 64856c33-6cf2-44c7-8aec-24817746099f · outbound

This paper cites Ahn et.al.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ahn et.al

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.830304Z

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.

source=pdf_text observed=2026-08-14T12:53:10.279434Z digest=sha256:7bb9cf0f7743d796de16afef4175197b2b51c01af3e08287cb546bf9a17863a4

Observation 3b438ae4-6436-4a8a-8b33-4a8087aad39d · outbound

This paper cites Mei et.al.High Performance Silicon Nanowire Field Effect Transistors, Nano Lett.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.808226Z

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.

source=pdf_text observed=2026-08-14T12:53:10.285665Z digest=sha256:f506c24f1f3dbec6c626045527dbaad21c993198a166b21cb520721fbc712b93

Observation 1c087a27-0307-4fde-8562-d6a05b49d6e6 · outbound

This paper cites Ko et.al.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ko et.al

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.784014Z

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.

source=pdf_text observed=2026-08-14T12:53:10.291281Z digest=sha256:aa081e26696e44b8c37eac80344bb5b044dcbe3129bff838610c0e2959d3f133

Observation c4b5b960-f374-4b36-b517-731a65dcf363 · outbound

This paper cites Park, A.P.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Park, A.P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.765418Z

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.

source=pdf_text observed=2026-08-14T12:53:10.296316Z digest=sha256:560f31f108349f8b1481d1437265036de64313a0a577d20369a3b78c79de44e0

Observation f662fdd5-bb2e-4cf8-a688-6d7d96e70eee · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T12:53:10.302544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:53:10.302544Z digest=sha256:d4323da675414b44d256a7c994ce32062627fd82a270958b4d8d2733bd48f063

Observation 0b0e77fd-e060-42f7-a964-65c46098e9a4 · outbound

This paper cites Jensen and H.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Jensen and H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.736415Z

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.

source=pdf_text observed=2026-08-14T12:53:10.309045Z digest=sha256:a967c184c92e77321265288ef788c163ce422cef264409ecdd8a272a525ea660

Observation 6e42513d-bfe8-4acc-a379-8b49b979b929 · outbound

This paper cites da Costa.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects da Costa

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.720479Z

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.

source=pdf_text observed=2026-08-14T12:53:10.314425Z digest=sha256:191da87828e16b1cc53048b2b28dc61b86529ff79dba312b113b2a2bad6884c7

Observation c5dfb37b-ddaa-4737-80e3-c87b2e3636a7 · outbound

This paper cites Physical Review A.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Physical Review A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.702996Z

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.

source=pdf_text observed=2026-08-14T12:53:10.320643Z digest=sha256:51aae10e00fdc831a4b8ccdf1a4ddab61189f00b35f71dba1484459b024b2807

Observation 2aee6002-d2cb-42a1-801d-c5b3fa3f342a · outbound

This paper cites Ortix Quantum mechanics of a spin-orbit coupled electron constrained to a space curve.PHYSICAL REVIEW B 91, 245412 (2015).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.686244Z

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.

source=pdf_text observed=2026-08-14T12:53:10.325924Z digest=sha256:f09e32b86b7592cf5c803038b7f8ee72436db114fb3ad699dcd760cf31aa127a

Observation df8c3d63-84f4-4a7f-919d-35cc5e5d1d6a · outbound

This paper cites Bastos , and F.G.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Bastos , and F.G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.668928Z

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.

source=pdf_text observed=2026-08-14T12:53:10.331156Z digest=sha256:451fe630a9c3c57c32572f4fcffa2d7a915d2f7f383a9527c25227e4b1760c3d

Observation 1b757ef8-f97a-417f-84f8-c7ae83ed9c78 · outbound

This paper cites Matsutani.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Matsutani

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.653854Z

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.

source=pdf_text observed=2026-08-14T12:53:10.339288Z digest=sha256:6fd9d96b1d5b8ac04a5bd11f6da4edf92cdb8a810b89b7ad79804ad5c6d8703a

Observation 85d15b40-1a84-471c-822c-155ac4f0a7aa · outbound

This paper cites Encinosa, B.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Encinosa, B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.637819Z

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.

source=pdf_text observed=2026-08-14T12:53:10.345045Z digest=sha256:54dcee08607e4e2b6c1a2c8a468a1509d917b9d6669b372dd3e4309b44b90222

Observation 319b1058-47c9-4afa-bcfc-0773fafc5588 · outbound

This paper cites Gravesen, M.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Gravesen, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.609576Z

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.

source=pdf_text observed=2026-08-14T12:53:10.351034Z digest=sha256:b5f42e0c4daef769b73ca5eee575d445f61f2dd933cc640aa2139b9c688222f6

Observation 16b82b0d-26f6-4451-ae99-1d65c14f4a8e · outbound

This paper cites Ikegami, Y.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ikegami, Y

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.589514Z

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.

source=pdf_text observed=2026-08-14T12:53:10.356189Z digest=sha256:b7315f05b38a8a5148362aa794d718f805595b86cb50c41df3d96b77a622d7f1

Observation bad37e26-3949-4d88-a45d-d3f609e0081a · outbound

This paper cites Ferrari, G.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ferrari, G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.571363Z

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.

source=pdf_text observed=2026-08-14T12:53:10.361173Z digest=sha256:07d1d23f9f9c492bdfbb85a4d570d00479ed8c84ec881cc94868d82d7dadaa68

Observation a800ef27-ca37-425a-8176-243117097b09 · outbound

This paper cites de Oliveira.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects de Oliveira

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.554624Z

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.

source=pdf_text observed=2026-08-14T12:53:10.366492Z digest=sha256:cdb673b20aad66fbd7c91c6ac53f68b36a672287fbc9144f3f18b3b99b113d44

Observation 467e6b01-8c7e-4983-ad40-b2ed114c5e90 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.536913Z

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.

source=pdf_text observed=2026-08-14T12:53:10.371741Z digest=sha256:39090d118aeb65108455e7721b04d5f2806025bf19cd6ed25bd169db9e580324

Observation 1503be83-6c80-4042-8771-9485ba4ded6b · outbound

This paper cites Filgueiras, F.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Filgueiras, F

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.519318Z

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.

source=pdf_text observed=2026-08-14T12:53:10.377139Z digest=sha256:e99a5bbacfde91976b8b045f335f97019314ca6c898c239ee2be511c49142b63

Observation 82082709-a0a0-48e4-8cc6-f442bb6ddba1 · outbound

This paper cites Filgueiras, E.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Filgueiras, E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.502240Z

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.

source=pdf_text observed=2026-08-14T12:53:10.382327Z digest=sha256:2bac4d8d024ab66ef92d51db5609599c4cffe8c8baba7886ab94b04821f8fc03

Observation 9da5eda2-dff4-4472-b156-f6e488555c97 · outbound

This paper cites Du, Y .-L.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Du, Y .-L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.486344Z

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.

source=pdf_text observed=2026-08-14T12:53:10.387639Z digest=sha256:54e5dec0508c862fbd4adc8ac999cdd9957fdf5de092d4077c323e528edc05c9

Observation d9e572c3-d6fc-43f4-865c-ffcdc1d85b64 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.468841Z

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.

source=pdf_text observed=2026-08-14T12:53:10.393418Z digest=sha256:9e2c02ba3c558dba281dacfab01dd239a2f2653ff324dfcb89eb3cbed77a8d24

Observation 32d0bc21-91eb-4d53-ade3-185982bdf9ca · outbound

This paper cites Gentile, M.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Gentile, M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.451362Z

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.

source=pdf_text observed=2026-08-14T12:53:10.398361Z digest=sha256:b785089a74bc8de2f13513bbf27fad46b4cee5bce3eb77ef3f79aa6b45cf3f19

Observation 38be900e-f49f-471d-bdf9-06d0a8b0f6e8 · outbound

This paper cites Santos, S.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Santos, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.431287Z

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.

source=pdf_text observed=2026-08-14T12:53:10.404332Z digest=sha256:2233dff472681af40e40b708b8eecf2e1ee47740ba6ffb9a1f07860eaf31b32b

Observation 5651b73b-29be-4eca-9dd6-efb0026012ca · outbound

This paper cites Marchi, S.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Marchi, S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.412882Z

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.

source=pdf_text observed=2026-08-14T12:53:10.409319Z digest=sha256:bce2244aef694052f551fd55f00dfa142d89a92b810fcfe53773ddf3403872cb

Observation a6340304-31cd-4d9a-97b3-c76d64396c7b · outbound

This paper cites Krejcirık.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Krejcirık

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.394990Z

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.

source=pdf_text observed=2026-08-14T12:53:10.414606Z digest=sha256:69afc95623fa9abb9edd1424c33f1c151fc49d4258dbf057f12d57ff6f21fbeb

Observation 479f4a21-5e4d-4ab7-9032-2c2311122314 · outbound

This paper cites Stockhofe and P.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Stockhofe and P

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.364996Z

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.

source=pdf_text observed=2026-08-14T12:53:10.420139Z digest=sha256:545340dd7ef03eaf06c938932804992d398ca26a065680ccfe6fcc6c15b423a0

Observation 7394a0f3-9fd8-4112-9c5e-5eec8d93b465 · outbound

This paper cites del Campo, M.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects del Campo, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.343432Z

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.

source=pdf_text observed=2026-08-14T12:53:10.425217Z digest=sha256:ca6fcb5c0d0d3822add20e0c5cafba584f8548f9840c24dea16334a7355bae25

Observation aa25feea-18b1-4f05-9be4-76d8ec76c48a · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.323747Z

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.

source=pdf_text observed=2026-08-14T12:53:10.430904Z digest=sha256:023b53da0c6fc2a1c255726e1bb144f6b2995bc44952f5cc210bcdc7b41ea080

Observation 818d2171-d834-40c8-83a1-c7a7ed16614e · outbound

This paper cites Zhang, C.M.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Zhang, C.M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.305780Z

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.

source=pdf_text observed=2026-08-14T12:53:10.435453Z digest=sha256:5fdad7ec457a1da40544abf335a4e255e8c5ea4355691702192e640721ab38f0

Observation 9f4300f0-e5db-4c37-a220-823b62eb6248 · outbound

This paper cites Xu et.al.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Xu et.al

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.288374Z

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.

source=pdf_text observed=2026-08-14T12:53:10.441332Z digest=sha256:b4963b1c152188a2ea793b8d3e50f16266a133b000518b267eb2febbb1925221

Observation 058e4057-76cb-4a7c-b62e-89f864f47a91 · outbound

This paper cites Jones.A new polynomial invariant of knots and links, Bull.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Jones.A new polynomial invariant of knots and links, Bull

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.270915Z

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.

source=pdf_text observed=2026-08-14T12:53:10.445810Z digest=sha256:76c073608347e9f4819ff814101b4ac913eaf5e7138c25203c6859b52e5e47f7

Observation fea6a910-9d5b-4033-a5a3-b654758c705c · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.245277Z

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.

source=pdf_text observed=2026-08-14T12:53:10.450244Z digest=sha256:9b5fbbad22d250b02075c62ae4175114a66d133650ba2e985e56ad7e92706af1

Observation 9e646d3c-be48-47ac-90f4-2af3feafd871 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.225851Z

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.

source=pdf_text observed=2026-08-14T12:53:10.454555Z digest=sha256:e3748a2b3c924b2983cc3447d8cb6660fac022a643420f41b145eaf9b8ef8f8c

Observation d4efc13c-b324-4ccc-8446-1fd38fdf8e38 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.208179Z

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.

source=pdf_text observed=2026-08-14T12:53:10.460380Z digest=sha256:562fe5c6669f4422412877e9bcb1d505dce02eb902cfb85f27cb83743b026c8f

Observation db1758a8-11e3-4ad1-8d33-2e05f40a2b4b · outbound

This paper cites Faddeev and A.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Faddeev and A

Reference 36

Resolution
verified exact
raw_fallback, observed 2026-08-14T12:53:10.875279Z

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.

source=pdf_text observed=2026-08-14T12:53:10.464524Z digest=sha256:7784470957f878c30f98717a9a4b09ad8952bbc6660d51a37a79dc45b1846772

Observation c4591376-711f-4dd3-a199-66319ef93206 · outbound

This paper cites Kedia, I.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Kedia, I

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.181352Z

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.

source=pdf_text observed=2026-08-14T12:53:10.469699Z digest=sha256:f95f61672861449cc32cf7e8fed230ad06e8015d248c91bf1e0940bc605929f6

Observation c0b46645-bd6e-43e7-80e6-61cf9c702590 · outbound

This paper cites Bright Solitary Waves on a Torus: Existence, Stability and Dynamics for the Nonlinear Schr\"odinger Model.

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

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:53:10.698863Z

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.

source=pdf_text observed=2026-08-14T12:53:10.475135Z digest=sha256:7cb8ca56da66d015f9f7fe5ceb664ee3c955ae631e8c61ac28038b51d9686fd3

Observation c8d66947-4ed0-46cb-b8d6-a28da179ffbc · outbound

This paper cites Quantum field theory on toroidal topology: algebraic structure and applications.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Quantum field theory on toroidal topology: algebraic structure and applications

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:53:10.669011Z

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.

source=pdf_text observed=2026-08-14T12:53:10.481023Z digest=sha256:1bfb76d3c4cbc5a5548a1c859a6a8af98d08036b3ec8da82a323ada31b3ae998

Observation effbed2c-df0a-4cdf-90d8-ec47cac18a3d · outbound

This paper cites Ohnuki and S.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ohnuki and S

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.158007Z

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.

source=pdf_text observed=2026-08-14T12:53:10.486772Z digest=sha256:74a552a2a6a29929bd409a6769bbd44fd410c6919096f44d66c2e1c07352aaca

Observation 65761ff7-2042-42c4-9b27-7d394855ca06 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:11.138305Z

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.

source=pdf_text observed=2026-08-14T12:53:10.491843Z digest=sha256:5f83ae9ea1ecf330f9aa8215ca3a49217c83914eed8294156b9aa2d0d7170953

Observation 09ce7ef1-6762-48c0-9018-66e260840294 · outbound

This paper cites Rajaraman.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Rajaraman

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.116992Z

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.

source=pdf_text observed=2026-08-14T12:53:10.496778Z digest=sha256:33d354b8d5eedce4f2a95f7fecd116742a27051579b64496005b5ef5e4a50c05

Observation 8ccc9c26-a56c-41d7-a31d-1a676fbfa2cc · outbound

This paper cites Wilczek.Fractional Statistics and Anyon Superconductivity, World Scientific Publishing Company Pvt.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.089994Z

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.

source=pdf_text observed=2026-08-14T12:53:10.501622Z digest=sha256:de7e6af11cfc8151a645e2cae066359e5c399c74c2daa521367dd235f61a7752

Observation d83d5b45-5606-4bb2-9a5a-12febd1735bb · outbound

This paper cites Sreedhar.The classical and quantum mechanics of a particle on a knot.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.071172Z

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.

source=pdf_text observed=2026-08-14T12:53:10.506951Z digest=sha256:f8c1d4c4425098cf493c3bdd7b3613e3caff82c4e5d21042aaf173b4881c52fe

Observation 6a401e51-dd07-49f2-807f-a970a6b26e91 · outbound

This paper cites Ohnuki and S.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Ohnuki and S

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.049870Z

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.

source=pdf_text observed=2026-08-14T12:53:10.512671Z digest=sha256:104e1fa17e5f12e94148e4bf45b1bff49f04c407f57cec112612475f9b1ab2d5

Observation cdee938e-dd1a-4038-803b-7e528cc68d38 · outbound

This paper cites Floreanini, R.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Floreanini, R

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.029393Z

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.

source=pdf_text observed=2026-08-14T12:53:10.517772Z digest=sha256:73a4040be07a4bfa20b95796649555f48c23a8fa2c0a386bc04d989a03fc6446

Observation 7e80acbf-e4b1-42b3-9c34-ec7856758b05 · outbound

This paper cites Takagi and T.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Takagi and T

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:11.008478Z

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.

source=pdf_text observed=2026-08-14T12:53:10.522757Z digest=sha256:5406ad4b1b9926b84cfc290e494adb680e82b6210cee45fa06543fe041168b4b

Observation f272a5f6-b783-4815-91e7-61e1b584a855 · outbound

This paper cites Moore The birth of topological insulators.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Moore The birth of topological insulators

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:10.991025Z

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.

source=pdf_text observed=2026-08-14T12:53:10.528500Z digest=sha256:607ca9577939e6ca315c29eee6f570f2f42e77a04239f2924193da1a7629d7e4

Observation 6f13173a-c231-4ded-b19c-acee080ce117 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:10.968397Z

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.

source=pdf_text observed=2026-08-14T12:53:10.533322Z digest=sha256:88510f37900417449ee53646e682755e2f9466e09bfa085ec104f3a61e26bc20

Observation 8cc0e137-af57-401c-8ab0-e644daafe5c5 · outbound

This paper cites Approximate solutions to Mathieu's equation.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Approximate solutions to Mathieu's equation

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:53:10.640488Z

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.

source=pdf_text observed=2026-08-14T12:53:10.538939Z digest=sha256:5f05927046d6b6fc07861c31219b5a02c05d44d86b983bf0443768ead07f205d

Observation 659164a2-0331-4fa4-baa2-8187ddea2fac · outbound

This paper cites McLachlan.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects McLachlan

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:10.950992Z

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.

source=pdf_text observed=2026-08-14T12:53:10.544559Z digest=sha256:b02e1542f0f5564f6eadbbae3fdd3aa88fad632cd985d258fa1ab033f941d6c3

Observation 3234bac1-7e15-43e6-974d-c2f1e845d682 · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:10.924507Z

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.

source=pdf_text observed=2026-08-14T12:53:10.549714Z digest=sha256:2b845140bf8ba2cf7f9a42209ad5edaed439ebf943ec3ea7858dc0657348c4a8

Observation fe8fcc2e-fb55-443f-98e6-d090bb653c5b · outbound

This paper cites an unresolved cited work.

Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:10.896390Z

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.

source=pdf_text observed=2026-08-14T12:53:10.555181Z digest=sha256:7476cd44858066fe790e55d6d78b2bade6e2463f17117f03ba2b0a3d39b88401

Observation a784c243-36ae-4b33-8de9-305ca3af18ff · outbound

This paper cites Geometric Phases for Classical and Quantum Dynamics: Hannay angle and Berry Phase for Loops on a Torus.

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

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:53:10.610129Z

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.

source=pdf_text observed=2026-08-14T12:53:10.560351Z digest=sha256:badf153d479c2ab72fbf9dda96d84a2e5ee2bd47400bb6a17f04857edb29021e

Pith citing papers

No inbound Pith citation observations are available.