Paper Citation Record · LEDGER

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

As of 21 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2506.14631.

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pith.paper-citation-record.v1
2506.14631 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:00:56.329180Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

49 of 49 outbound references displayed

verified exact1
verified fuzzy39
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4211b3c-7a20-43fb-bf3d-7964cc11d40a · outbound

This paper cites an unresolved cited work.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:00:57.179883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ccd3bde-5509-40b1-b00c-e5b344207fc6 · outbound

This paper cites J., and Rodr\' guez-Mesa, L.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators J., and Rodr\' guez-Mesa, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.164803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 11ae808c-c867-43bd-8671-a2334d2b624a · outbound

This paper cites Variation bounds for spherical averages.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variation bounds for spherical averages

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.149491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e3691639-c0b8-440f-a245-c0c6b47964e2 · outbound

This paper cites New abstract H ardy spaces.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators New abstract H ardy spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.134039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dba1e51c-ede0-4bd9-b0ba-3d58ccaff900 · outbound

This paper cites Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T20:00:56.500995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4fb7efa7-1153-4d57-b4d3-44d75587c011 · outbound

This paper cites On the maximal ergodic theorem for certain subsets of the integers.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators On the maximal ergodic theorem for certain subsets of the integers

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.119397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8adc072e-158f-4a86-a20f-f00df38c033a · outbound

This paper cites On the pointwise ergodic theorem on L^p for arithmetic sets.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators On the pointwise ergodic theorem on L^p for arithmetic sets

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.103761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09b3bbbb-f4e6-44b7-98dd-78e51719028b · outbound

This paper cites Pointwise ergodic theorems for arithmetic sets.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Pointwise ergodic theorems for arithmetic sets

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.089170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b2e3fb36-98aa-410f-9024-112bda658c00 · outbound

This paper cites M., and Wr\' o bel, B.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators M., and Wr\' o bel, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.074137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9d798d4-b334-4b6f-8eab-821a5fdc6fc3 · outbound

This paper cites A., and D'Ancona, P.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators A., and D'Ancona, P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.059484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 98fd2d1c-4a72-417b-a292-8610dd4f1137 · outbound

This paper cites A., Duong, X.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators A., Duong, X

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T20:00:56.156243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b306a62-8df0-4ad1-a1fd-0007afc0390a · outbound

This paper cites Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T20:00:56.161179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d51e09cc-a03d-4fdd-9e09-9541cf72ee49 · outbound

This paper cites T., Jones, R.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators T., Jones, R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.044770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b87af40-23b0-4d83-af1e-3ebd9f02f959 · outbound

This paper cites T., Jones, R.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators T., Jones, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.028792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 36dd421c-37f5-4cbd-9b96-8111c0ad6e73 · outbound

This paper cites Variational inequalities for the O rnstein- U hlenbeck semigroup: the higher-dimensional case.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variational inequalities for the O rnstein- U hlenbeck semigroup: the higher-dimensional case

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:57.013273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b5aa9e9a-2acd-48b6-bc94-2caf180ff7ed · outbound

This paper cites A., Men\' a rguez, T., Torrea, J.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators A., Men\' a rguez, T., Torrea, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.998349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f2cb227d-f528-497f-8d90-0c5e7ccae485 · outbound

This paper cites Q., and Uraltsev, G.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Q., and Uraltsev, G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.983674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6a85833a-6cae-47fa-bbf3-1f9384456792 · outbound

This paper cites Weighted bounds for variational F ourier series.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Weighted bounds for variational F ourier series

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.968080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9dd458bf-0db1-4f17-a8d1-961d18dbed7e · outbound

This paper cites L., Merz, K., and Siedentop, H.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., Merz, K., and Siedentop, H

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.953040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 916a814c-8777-4d59-8f44-b191ba7aa44c · outbound

This paper cites A., and Torrea, J.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators A., and Torrea, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.938068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7cfc2292-98d7-405a-871f-66e5ce577c50 · outbound

This paper cites D., Magyar, A., Mirek, M., and Szarek, T.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators D., Magyar, A., Mirek, M., and Szarek, T

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.923580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a059d03b-dd9f-4238-bc83-92f4df0e96e7 · outbound

This paper cites L., Kaufman, R., Rosenblatt, J.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., Kaufman, R., Rosenblatt, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.908964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7c61837c-b165-4e14-a3b2-c75067ca04f5 · outbound

This paper cites L., and Reinhold, K.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., and Reinhold, K

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.895224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93324c71-75dd-4a9d-b4d3-8aa101eae086 · outbound

This paper cites L., Seeger, A., and Wright, J.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., Seeger, A., and Wright, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.881003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5c80b562-c21e-4e45-af25-8d186e41bd3f · outbound

This paper cites L., and Wang, G.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., and Wang, G

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.865818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28fbce51-35c0-4889-a6e4-fe576995bc9b · outbound

This paper cites Sobolev spaces adapted to the S chr\" o dinger operator with inverse-square potential.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Sobolev spaces adapted to the S chr\" o dinger operator with inverse-square potential

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.850998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c161135a-7e5d-4722-8997-3d021caac587 · outbound

This paper cites R., and Sem\" e nov, Y.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators R., and Sem\" e nov, Y

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.835720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fd04f28a-5757-4202-8f2c-9a78450e18bf · outbound

This paper cites an unresolved cited work.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:00:56.820722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5de6e38f-2be6-447e-b932-2531b6326c69 · outbound

This paper cites an unresolved cited work.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:00:56.805862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c7b21d03-92b7-4163-b68d-75fd6cdf7b70 · outbound

This paper cites A., and Szczypkowski, K.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators A., and Szczypkowski, K

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.790743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f307ccfa-bceb-4079-8449-ceef995ff823 · outbound

This paper cites Pointwise ergodic theorems for non-conventional bilinear polynomial averages.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Pointwise ergodic theorems for non-conventional bilinear polynomial averages

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.776269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3dd24580-9220-44f8-9ee8-796f4d71af57 · outbound

This paper cites Strong q -variation inequalities for analytic semigroups.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Strong q -variation inequalities for analytic semigroups

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.761280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a73ce453-79ab-476d-b7ee-4298a27471ed · outbound

This paper cites La variation d'ordre p des semi-martingales.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators La variation d'ordre p des semi-martingales

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.745158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7544bed6-7db3-471c-8a07-34e2a68bb3cb · outbound

This paper cites L., and Xu, Q.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., and Xu, Q

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.729952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0183ffa5-801b-4468-838a-cb031d5df806 · outbound

This paper cites L., and Xu, Q.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators L., and Xu, Q

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.715104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50990721-8b2b-47c4-ad67-1c80654b4821 · outbound

This paper cites Variation and oscillation for singular integrals with odd kernel on L ipschitz graphs.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variation and oscillation for singular integrals with odd kernel on L ipschitz graphs

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.700345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d2e309ee-0910-4677-84b4-a4cf626f9dd8 · outbound

This paper cites Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.685616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2ffa52de-f99a-4d93-a1d9-a2d5213b0dd0 · outbound

This paper cites On scales of S obolev spaces associated to generalized H ardy operators.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators On scales of S obolev spaces associated to generalized H ardy operators

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.670544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4161ddad-0f17-4cf5-8f94-372f7f482dd3 · outbound

This paper cites an unresolved cited work.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:00:56.655166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7856fc4b-3ad5-4723-b8eb-2fc8a9653654 · outbound

This paper cites M., and Trojan, B.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators M., and Trojan, B

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.640111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d21394be-51f7-4519-8962-c9fea99e36d5 · outbound

This paper cites M., and Zorin-Kranich, P.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators M., and Zorin-Kranich, P

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.624702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation df2a26c2-3d81-4b9c-b879-0fb3cda158c1 · outbound

This paper cites Variational estimates for averages and truncated singular integrals along the prime numbers.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variational estimates for averages and truncated singular integrals along the prime numbers

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.609389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4301fe95-453e-4338-a3cd-6d22cbd8c223 · outbound

This paper cites Variation and oscillation operators associated to semigroup generated by S chr\" o dinger operator with fractional power.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variation and oscillation operators associated to semigroup generated by S chr\" o dinger operator with fractional power

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.594134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2438293-be7b-4a72-8ed2-38087125d2e8 · outbound

This paper cites A variation norm C arleson theorem.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators A variation norm C arleson theorem

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.577787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1eb4ab18-7ee0-4327-bbfd-d5168abcd449 · outbound

This paper cites an unresolved cited work.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:00:56.562322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1293b464-9b33-4a45-b42b-78425c980d49 · outbound

This paper cites The p -variation of partial sum processes and the empirical process.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators The p -variation of partial sum processes and the empirical process

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.547070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a79e7898-ec4c-4881-b941-18edcadb282a · outbound

This paper cites an unresolved cited work.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:00:56.531633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f60a454c-3a2c-4e56-a49e-6bf1d4a031d9 · outbound

This paper cites Functional analysis , sixth ed., vol.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Functional analysis , sixth ed., vol

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:00:56.516558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0fce37b6-5814-4b75-b11c-0bf7e65fd0f0 · outbound

This paper cites Variational truncations of singular integrals on spaces of homogeneous type.

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators Variational truncations of singular integrals on spaces of homogeneous type

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:00:56.374672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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