Paper Citation Record · LEDGER

Spin textures in curved paths on a curved surface

As of 7 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.05424.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.05424 v2

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:55:36.895779Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

58 of 58 outbound references displayed

verified exact1
verified fuzzy18
unresolved39
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 865a063b-efc8-4da4-be7c-6e8de584f9f1 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.628526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2d71da49-f3eb-4b19-a2fc-72d26b401e26 · outbound

This paper cites This fundamental formula links the cur- vature of a general surface to its underlying topology.

Spin textures in curved paths on a curved surface This fundamental formula links the cur- vature of a general surface to its underlying topology

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.682878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 759ecae1-449a-4187-a7a1-cfc9adf7c7f7 · outbound

This paper cites Thus, ∂qgss|q=0 = −2κg.

Spin textures in curved paths on a curved surface Thus, ∂qgss|q=0 = −2κg

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.642063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d11139e0-3b09-4b4f-9e1d-aa29fc23c3a1 · outbound

This paper cites We further exam- ine path-order dependence and spin interference phenom- ena.

Spin textures in curved paths on a curved surface We further exam- ine path-order dependence and spin interference phenom- ena

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.669367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 03c22f4f-54e4-4fc9-8814-70754d4bfa7e · outbound

This paper cites As shown in Fig.

Spin textures in curved paths on a curved surface As shown in Fig

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.655630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91a7a319-f843-44be-82bc-82dbcd70a67a · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.576946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27889352-639a-43de-88f6-3f3944fcbc03 · outbound

This paper cites Ferrari, G.

Spin textures in curved paths on a curved surface Ferrari, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.563045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 04e14248-412b-4124-87f2-35534f44c737 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.686808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb637e97-3445-40f8-b7f4-87516429afc4 · outbound

This paper cites Lilian, L.

Spin textures in curved paths on a curved surface Lilian, L

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.697333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4209d449-aa47-4e67-a32a-0802570469e2 · outbound

This paper cites Harish, M.

Spin textures in curved paths on a curved surface Harish, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.706165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22f7fedd-f41b-4123-98d9-88e671c48924 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.493603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2df2909d-9735-409f-a712-d36466b29153 · outbound

This paper cites Bekenstein, Nature Photon.

Spin textures in curved paths on a curved surface Bekenstein, Nature Photon

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.738978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c4d52a5-8700-4be9-8b7d-6686a66b9859 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.547751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 819d2bac-38cd-4caf-9376-85875beccfe6 · outbound

This paper cites Da Col, S.

Spin textures in curved paths on a curved surface Da Col, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.534732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f35b764d-6fa8-4a0f-964b-08b020e7779f · outbound

This paper cites Sanz-Hern´ andez, A.

Spin textures in curved paths on a curved surface Sanz-Hern´ andez, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.521565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21bcd2f8-091e-4611-bca8-46556587c6b2 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.507235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 43a6415b-ac14-4cd8-8030-fce764f149fb · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.429434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5bc52b5f-5fb7-4a48-8c94-ed70d677f3aa · outbound

This paper cites Wang and H.-S.

Spin textures in curved paths on a curved surface Wang and H.-S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.416343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe7bb054-69b8-4529-b905-b2529c4eb729 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.470446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 98e70efb-c2f8-4507-8f52-983efab845a8 · outbound

This paper cites Jensen and H.

Spin textures in curved paths on a curved surface Jensen and H

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.746847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41caa9f8-e4b0-4116-88e0-8ccbfc5f3b88 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.750818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42bfcc0b-0eb5-4af8-a22e-cf523a4899db · outbound

This paper cites Ferrari and G.

Spin textures in curved paths on a curved surface Ferrari and G

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.754931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0c344b2-8aa6-4940-99b4-70923202d74e · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.782936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fc16927-3f87-4774-b000-7d1e15883ea4 · outbound

This paper cites At this point, we eventually derive the ef- fective Hamiltonian Heﬀ for a spin-1/2 particle conﬁned to a curve based on the motion dynamics on a curved surface.

Spin textures in curved paths on a curved surface At this point, we eventually derive the ef- fective Hamiltonian Heﬀ for a spin-1/2 particle conﬁned to a curve based on the motion dynamics on a curved surface

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.712698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eae9616a-e761-477f-9919-e9cbcd43f8b8 · outbound

This paper cites Ouyang, V.

Spin textures in curved paths on a curved surface Ouyang, V

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.766949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43ba52f1-b269-44ef-92c6-f770a237ab20 · outbound

This paper cites Burgess and B.

Spin textures in curved paths on a curved surface Burgess and B

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.771033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77b74f57-e4df-4705-8636-0d085ba0a39c · outbound

This paper cites Brandt and J.

Spin textures in curved paths on a curved surface Brandt and J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.774994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d89132a9-40a8-436a-8af7-7b5fc5e1dee8 · outbound

This paper cites Ortix, Phys.

Spin textures in curved paths on a curved surface Ortix, Phys

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.778981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6fa9e1d-4171-4132-ae08-01f8b51fd94b · outbound

This paper cites Lai, Y.-L.

Spin textures in curved paths on a curved surface Lai, Y.-L

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.807154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a8725da-f295-4a82-8590-debf416360fa · outbound

This paper cites Chang, J.-S.

Spin textures in curved paths on a curved surface Chang, J.-S

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.786740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d44853df-d883-4209-a3cf-04fc9ce7cd6c · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.790757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75be423c-9b97-4298-b959-e431f0b695e2 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.794641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c56c923c-f033-4e39-b6a6-739abb31d7dd · outbound

This paper cites Liang, Y.-L.

Spin textures in curved paths on a curved surface Liang, Y.-L

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.330978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9dd5710c-e0cd-4b88-a823-fafc6b9c4b85 · outbound

This paper cites For a closed curve C, the trace tr( U ) deﬁnes a gauge invariant quantity known as Wilson loop.

Spin textures in curved paths on a curved surface For a closed curve C, the trace tr( U ) deﬁnes a gauge invariant quantity known as Wilson loop

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.698021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0a2ba16-6406-410a-b9e6-5b841cb2788b · outbound

This paper cites Batz and U.

Spin textures in curved paths on a curved surface Batz and U

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.802963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 250e4d7f-23be-45d4-af6d-e21a72d524aa · outbound

This paper cites Lai, Y.-L.

Spin textures in curved paths on a curved surface Lai, Y.-L

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.810884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fe9ee24-4946-4993-bf97-aa5d8cf82033 · outbound

This paper cites Maraner and C.

Spin textures in curved paths on a curved surface Maraner and C

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.814689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70d01fc8-3d5c-4441-a7b5-426f56998da1 · outbound

This paper cites Maraner, J.

Spin textures in curved paths on a curved surface Maraner, J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.818673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd8e7ea8-9f74-4a42-986e-7a3aa1432ee0 · outbound

This paper cites Maraner, Ann.

Spin textures in curved paths on a curved surface Maraner, Ann

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.822546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70b33108-12f3-4da4-92e5-0524a287422a · outbound

This paper cites Fujii, N.

Spin textures in curved paths on a curved surface Fujii, N

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.826326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e7da940-2e6d-4b85-9cc2-809a129bf8c2 · outbound

This paper cites Schuster and R.

Spin textures in curved paths on a curved surface Schuster and R

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.830222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e587a5d-944f-4aa3-9e2c-e2a2fc6d43b0 · outbound

This paper cites Meschede, B.

Spin textures in curved paths on a curved surface Meschede, B

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.241910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87786f1d-356f-4b6a-a6f2-932b8fd3a620 · outbound

This paper cites Gaididei, V.

Spin textures in curved paths on a curved surface Gaididei, V

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.228536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27f56363-2b64-4a94-b213-a73fc315f009 · outbound

This paper cites Streubel, P.

Spin textures in curved paths on a curved surface Streubel, P

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.215160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fb18a03-9978-473d-a5d6-019a390dfe22 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.846335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8c9c45c-c93e-4681-9102-cead9d75fd77 · outbound

This paper cites Salasnich, SciPost Phys.

Spin textures in curved paths on a curved surface Salasnich, SciPost Phys

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.190055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9af0f55c-42ad-4291-8d2e-d2800bb6bb6f · outbound

This paper cites Tononi and L.

Spin textures in curved paths on a curved surface Tononi and L

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.176716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e109a30-689a-4094-bbb9-57381e1e8bea · outbound

This paper cites Rodr ´ ıguez, A.

Spin textures in curved paths on a curved surface Rodr ´ ıguez, A

Reference 49

Resolution: verified exact; raw_fallback, observed 2026-08-07T10:55:37.056126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5d55c78e-dbc3-4706-babc-b60eefc6b5aa · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.162746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f2643dde-d104-48bb-8270-9a108795d5a7 · outbound

This paper cites Huang, L.

Spin textures in curved paths on a curved surface Huang, L

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.149590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 12886b65-aa73-425e-81ac-babcb1c6ca30 · outbound

This paper cites an unresolved cited work.

Spin textures in curved paths on a curved surface Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:55:37.135415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f2dfbe99-84d9-423e-8d53-92636ff0c5cd · outbound

This paper cites Liang, A.-G.

Spin textures in curved paths on a curved surface Liang, A.-G

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.873008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fed5a182-2e3d-43eb-9bef-0a0bb121fcfc · outbound

This paper cites Gentile, M.

Spin textures in curved paths on a curved surface Gentile, M

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.876744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20d2caaf-67f2-4815-942e-debff0b5a184 · outbound

This paper cites Klingenberg, A course in diﬀerential geometry , Vol.

Spin textures in curved paths on a curved surface Klingenberg, A course in diﬀerential geometry , Vol

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:55:37.112783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5d7ac234-0533-434c-92de-077886ba3774 · outbound

This paper cites Liang and M.-Y.

Spin textures in curved paths on a curved surface Liang and M.-Y

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.884144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f7e9af5-77ee-4377-bfe9-48b6667f02d3 · outbound

This paper cites Liang and P.-L.

Spin textures in curved paths on a curved surface Liang and P.-L

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.888029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a0c95d7-d2cf-4af1-b3e3-b187ce264483 · outbound

This paper cites Wilczek and A.

Spin textures in curved paths on a curved surface Wilczek and A

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.891781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d29bb553-7c79-45a3-a3ce-df92e4f7e230 · outbound

This paper cites Datta, Electronic transport in mesoscopic systems (Cambridge university press, 1997).

Spin textures in curved paths on a curved surface Datta, Electronic transport in mesoscopic systems (Cambridge university press, 1997)

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-07T10:55:36.895779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.