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Paper Citation Record · LEDGER

Lexicographic functional calculus and its application to functional calculus calculus

As of 14 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2608.08404.

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

pith.paper-citation-record.v1
2608.08404 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:52:21.348978Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

51 of 51 outbound references displayed

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  • verified fuzzy16
  • unresolved28
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f96fee4f-b5eb-4b76-872c-bd8263971a9e · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 1

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Source-reported events for the cited work

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Observation 73bede7f-f983-4ded-bef5-83bef4281bac · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7887d4ed-0ad8-4b72-93a3-7b6e67511df0 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 2862059f-54d3-4016-a23e-c9280d08ceed · outbound

This paper cites Trace formulas for $\mathcal{S}^p$-perturbations and extension of Koplienko-Neidhardt trace formulas.

Lexicographic functional calculus and its application to functional calculus calculus Trace formulas for $\mathcal{S}^p$-perturbations and extension of Koplienko-Neidhardt trace formulas

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 52bcdcfc-a87c-423b-aee8-c73983d20a90 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 725bb6cb-cdaf-4f10-aed3-d6981e5a6819 · outbound

This paper cites Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations.

Lexicographic functional calculus and its application to functional calculus calculus Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations

Reference 6

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6abbc7ac-1128-4d47-84d1-e6bab3d0f3cd · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6d7aad92-cb59-406c-9b21-2b6913e15065 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c846ef75-d9b8-4d3b-98f0-6ee1527a198b · outbound

This paper cites Coine, C.

Lexicographic functional calculus and its application to functional calculus calculus Coine, C

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 58189f52-4bd3-48b0-a585-f71d883394e9 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 61b9ba74-c94b-4076-8f02-c4b17ea25bfe · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 11

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Observation 7d7bc7e7-aa88-46a1-8e02-e5b9b5c8739f · outbound

This paper cites Deya and R.

Lexicographic functional calculus and its application to functional calculus calculus Deya and R

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 33199c69-fe3a-40d6-9884-76f881b14456 · outbound

This paper cites Dixmier,Von Neumann Algebras, North-Holland Publishing Company, Amsterdam, 1981.

Lexicographic functional calculus and its application to functional calculus calculus Dixmier,Von Neumann Algebras, North-Holland Publishing Company, Amsterdam, 1981

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6c2f2ed1-6362-4b3f-b515-9a0df7cd88c1 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 14

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Source-reported events for the cited work

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Observation 4e0beb9b-5ef0-41d4-8b6e-318bfc86770f · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 15

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Observation 4fa9e781-07b5-4ed6-9cae-2a3231a91148 · outbound

This paper cites Continuity of the product map.

Lexicographic functional calculus and its application to functional calculus calculus Continuity of the product map

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e66df9be-42f9-4c74-9d2d-8e6d69e63cf9 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 17

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Source-reported events for the cited work

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Observation 5ec8ca28-36f1-42f1-b9ac-cb10444b9860 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation becc9fc8-5520-4c51-8de6-99ddbe59300f · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9ddc97bb-19b9-49fd-b6e2-b6c9bebd7e2d · outbound

This paper cites Higher order spectral shift of Euclidean Callias operators.

Lexicographic functional calculus and its application to functional calculus calculus Higher order spectral shift of Euclidean Callias operators

Reference 20

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Source-reported events for the cited work

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Observation 04044851-0452-41c8-84fb-282a809e709a · outbound

This paper cites Harte,The spectral mapping theorem in several variables, Bulletin of the American Mathe- matical Society78(1972), 871–875.

Lexicographic functional calculus and its application to functional calculus calculus Harte,The spectral mapping theorem in several variables, Bulletin of the American Mathe- matical Society78(1972), 871–875

Reference 21

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3926ad31-efc3-45a8-ac0d-1ed8ee366511 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 22

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Observation 916d39ac-d772-4f81-a78b-7e91a61cf4b9 · outbound

This paper cites Hiai,Matrix analysis: Matrix monotone functions, matrix means, and majorization, Inter- disciplinary Information Sciences16(2010), 139–248.

Lexicographic functional calculus and its application to functional calculus calculus Hiai,Matrix analysis: Matrix monotone functions, matrix means, and majorization, Inter- disciplinary Information Sciences16(2010), 139–248

Reference 23

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Observation 08381fdf-cff5-42a2-aff2-b0d81293dee8 · outbound

This paper cites Hájek and M.

Lexicographic functional calculus and its application to functional calculus calculus Hájek and M

Reference 24

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 88ae5955-cf1b-40fa-9f79-434e32ae62d0 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1c646bff-fe69-461f-97bd-f36e68542b96 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 26

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 320e5036-607a-4846-a156-492de0ecabf6 · outbound

This paper cites Le Merdy and E.

Lexicographic functional calculus and its application to functional calculus calculus Le Merdy and E

Reference 27

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0ec55492-2d31-4ee3-8780-cd7d8214584c · outbound

This paper cites Le Merdy and A.

Lexicographic functional calculus and its application to functional calculus calculus Le Merdy and A

Reference 28

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Observation 72407896-5305-40d6-9879-0fae9837db78 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 29

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 816217c2-2838-4bc8-a1f2-d652d53e6443 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b08a4af4-5ff5-45ec-abb7-295af4b89eb9 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 31

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Observation 383020c7-0d3d-4277-b450-340ce545ab4e · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b9144ea0-aad6-4e04-959f-36e83a67f872 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 431305ba-fd61-44c7-b32e-090834b1aaac · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f0f2e601-ac16-4a32-8b5a-9a0ba04aa91e · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ca5831c6-9155-45ba-92e3-028251d6c4b3 · outbound

This paper cites de Pagter and F.

Lexicographic functional calculus and its application to functional calculus calculus de Pagter and F

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 0758531d-b398-45b8-9a3d-d4e9d909325a · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.948600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation e56c6bf5-2e1e-4830-9c40-017bdfdaf004 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.935984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.305249Z digest=sha256:ab4b49436edb2c6b8ad81e87d52cdb7a71e045e06e9d7d31b6dbc4015ade53d4

Observation 2ed1edfa-c67c-464a-be03-97469619337a · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.923757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.309356Z digest=sha256:5573089a3292ce943e518170b07b4f4797e9969a7029050decc96c76fd3601ad

Observation 1c250a21-73f4-45a1-94e8-920165fbbe23 · outbound

This paper cites Potapov, A.

Lexicographic functional calculus and its application to functional calculus calculus Potapov, A

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:52:21.910835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.312597Z digest=sha256:09279d230fa51db528aec99a63b92a24e081d84d17953f1fe675b770627ef278

Observation 6c3b8d2d-82de-4c7d-a76b-d78344d44b66 · outbound

This paper cites Pradhan and A.

Lexicographic functional calculus and its application to functional calculus calculus Pradhan and A

Reference 41

Resolution
verified exact
raw_fallback, observed 2026-08-14T04:52:21.520447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.316020Z digest=sha256:d6a31291cdb53b4f05c1c9469ffe71b87d0f5877204d0a1269321280bdff1528

Observation c4a5e9b5-ba82-4a39-b75d-a06189c29891 · outbound

This paper cites Putinar,Uniqueness of Taylor’s functional calculus, Proceedings of the American Mathe- matical Society89(1983), 647–650.

Lexicographic functional calculus and its application to functional calculus calculus Putinar,Uniqueness of Taylor’s functional calculus, Proceedings of the American Mathe- matical Society89(1983), 647–650

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:52:21.897586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.319229Z digest=sha256:c3ba1d7c4bd0531004a9785f7e9521f9ac839f94d1d2847c9bb69682d5ce2905

Observation 6b91d3cb-4b52-4bd6-af75-0a25236acbe7 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.887608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.322309Z digest=sha256:983b29c2a564548ba37c528fca5280ac7cc02958efb7afb633192abd908cc1c3

Observation 59e9447b-1241-49a8-9ad4-48bbe21d7db2 · outbound

This paper cites Rudin,Functional Analysis, 2nd ed., International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, NY, 1991.

Lexicographic functional calculus and its application to functional calculus calculus Rudin,Functional Analysis, 2nd ed., International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, NY, 1991

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:52:21.877990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.325469Z digest=sha256:3222013eff78708430b4f8ae288e18fc48f39efc0a87c01d183100205cb6ef71

Observation ae47e827-ee93-491b-bfd6-8f6089a9fa79 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.867976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.328799Z digest=sha256:983b4c4849bfe397c529fc1b83de2e4e1138b72cfb81f028fa795ded39ec9001

Observation 38f26f9d-7390-4fd6-b902-963b4af6b3b4 · outbound

This paper cites Skripka and A.

Lexicographic functional calculus and its application to functional calculus calculus Skripka and A

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:52:21.857775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.332141Z digest=sha256:da72476fb2205f0ca7f9471b5af1b7996fcda018c8ecbea20d497605d41df159

Observation 520684d4-b5c8-49a6-ac6c-f121bfde609f · outbound

This paper cites Takesaki,Theory of Operator Algebras I, Springer-Verlag, New York, NY, 1979.

Lexicographic functional calculus and its application to functional calculus calculus Takesaki,Theory of Operator Algebras I, Springer-Verlag, New York, NY, 1979

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:52:21.846745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.335870Z digest=sha256:727997efae90490330e44f96681ea7190d7230b79468cafd9adce0b508df41ec

Observation cfddc4af-d951-4bea-beb5-a69d1c9a347a · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.834596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.339512Z digest=sha256:8abf030add0728f1bc4ba63c135dd54d423579f36fd75bd205c68c2b4e588931

Observation 0c468327-e3e6-492e-9885-68598a520f56 · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.824172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.342849Z digest=sha256:cc839852882931514e99a7136c45f93149dde18fb5d3ea1ed5f9c480b0e35773

Observation 25fb0ffb-b6dc-4272-9888-ba7a8c40c02c · outbound

This paper cites Treves,Topological Vector Spaces, Distributions and Kernels, Pure and Applied Mathemat- ics, vol.

Lexicographic functional calculus and its application to functional calculus calculus Treves,Topological Vector Spaces, Distributions and Kernels, Pure and Applied Mathemat- ics, vol

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:52:21.812262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.345905Z digest=sha256:f0a8b938608e1b9cc283b7c551581ae2b433e0a6759cbc9b395b1fc6e7ed43f6

Observation 8c03b10d-eed2-4371-aa27-0dbcfe728e6d · outbound

This paper cites an unresolved cited work.

Lexicographic functional calculus and its application to functional calculus calculus Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:52:21.800074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-14T04:52:21.348978Z digest=sha256:8829c87f6db3d6c490359840b84ccd551f59fc0ed222ad8968a1fac3a7b87118

Pith citing papers

No inbound Pith citation observations are available.