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Paper Citation Record · LEDGER

Fractional operators via analytic interpolation of integer powers

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.03604.

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

pith.paper-citation-record.v1
1908.03604 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:21.890044Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7032192a-e1ee-4133-b9f6-73b49ce23229 · outbound

This paper cites Diethelm and N.J.

Fractional operators via analytic interpolation of integer powers Diethelm and N.J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.094842Z

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=2026-08-14T14:15:21.825289Z digest=sha256:c7b4003c4acf2ab507f068d52543634be6cd1f642db6d1e18de1bb17eb892a70

Observation eb551aa8-d146-4620-89d4-7dabca6c7310 · outbound

This paper cites Hilfer, Applications of fractional calculus in physics.

Fractional operators via analytic interpolation of integer powers Hilfer, Applications of fractional calculus in physics

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.085349Z

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=2026-08-14T14:15:21.829590Z digest=sha256:61efab00e9afb25d56aad708919e771620f7f087660af73c6973ee806000b49d

Observation f30e91df-070b-4694-91c7-cfc10497f79c · outbound

This paper cites Babosa, J.A.T.

Fractional operators via analytic interpolation of integer powers Babosa, J.A.T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.074085Z

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=2026-08-14T14:15:21.833413Z digest=sha256:5b2076203ae0d2d9c5f191baa42df56b0c9e1d5e5fc8ea55f717ac2e5245a279

Observation c41f70f2-c3b9-47f4-99b7-565af3d54235 · outbound

This paper cites Almeida, The fractional Fourier transform and time-frequency representations.

Fractional operators via analytic interpolation of integer powers Almeida, The fractional Fourier transform and time-frequency representations

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.064380Z

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=2026-08-14T14:15:21.837651Z digest=sha256:de735f932c281d0c943c522650f8ef2fc6d9ddfdb94119d27eec7f2fb189dd4e

Observation e2795f7c-8d54-4884-96ef-5bad5294ffe6 · outbound

This paper cites an unresolved cited work.

Fractional operators via analytic interpolation of integer powers Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:22.054366Z

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=2026-08-14T14:15:21.841701Z digest=sha256:914830162120665c182023ba1a87cedb5c6681196835ba93ba16fa8a0d166a3a

Observation a7f591f3-9eb0-4e54-a518-708f35f07266 · outbound

This paper cites Pei, J.-J.

Fractional operators via analytic interpolation of integer powers Pei, J.-J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.043306Z

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=2026-08-14T14:15:21.845629Z digest=sha256:c1d17f86bd5b4e0e8f8e73d332a98c312e7ea72153d8d44c0749a643a71b22ae

Observation c01e7684-1448-4250-914e-9b57997df73f · outbound

This paper cites H¨ ormander,The analysis of linear partial differential operators III: pseudo-differential operators.

Fractional operators via analytic interpolation of integer powers H¨ ormander,The analysis of linear partial differential operators III: pseudo-differential operators

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.032450Z

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=2026-08-14T14:15:21.850160Z digest=sha256:49e918e90a70c1e5b4c23f2023117142448eed640a89830813a756b05f7cc42b

Observation 9cbcd056-3cee-42cf-a3de-35d711b42009 · outbound

This paper cites Herzog and N.

Fractional operators via analytic interpolation of integer powers Herzog and N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.020268Z

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=2026-08-14T14:15:21.855609Z digest=sha256:e4734d5d4026dce26a2ac6563b6f8b04116b54bc39dcacf7807d22398bd01a4e

Observation 3b54419c-5f20-4118-81d6-0a61cc4a2317 · outbound

This paper cites Titchmarsh.

Fractional operators via analytic interpolation of integer powers Titchmarsh

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:22.007658Z

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=2026-08-14T14:15:21.860202Z digest=sha256:fe2e5164eff12e87eb6a97d778804810c4f272947390889d39420e8898db8d8a

Observation 3c14cbab-0028-4d40-85eb-be9a2fc29a8b · outbound

This paper cites Hille, R.S.

Fractional operators via analytic interpolation of integer powers Hille, R.S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:21.996317Z

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=2026-08-14T14:15:21.864916Z digest=sha256:a6beeb6d97171f72f0a8c06b66f568dcdc04da96b3b44f4c696e4a9bee140b62

Observation d7da88a6-480c-4384-8205-d62c5d3ee622 · outbound

This paper cites Balakrishnan, Fractional powers of closed operators and the semigroups generated by them.

Fractional operators via analytic interpolation of integer powers Balakrishnan, Fractional powers of closed operators and the semigroups generated by them

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:21.984684Z

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=2026-08-14T14:15:21.869228Z digest=sha256:b80e2227fc99a8ccc52193f95f084cbd44a24542c6a0ad5b3141e131b5079123

Observation 9baee160-f721-4676-9557-9256c00ca4c4 · outbound

This paper cites Komatsu, Fractional powers of operators.

Fractional operators via analytic interpolation of integer powers Komatsu, Fractional powers of operators

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:21.971851Z

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=2026-08-14T14:15:21.873473Z digest=sha256:ba87cbabca45a8db0a4cb8500b593fbf8cc28e2f097b609b596584324d7a9935

Observation ae93c7a3-43ff-4030-96f7-f270b5542236 · outbound

This paper cites Pr¨ uss and H.

Fractional operators via analytic interpolation of integer powers Pr¨ uss and H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:21.960072Z

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=2026-08-14T14:15:21.878265Z digest=sha256:1f7984815a091ad52073e296a3c33342745fd1c1e456a1b4f5ae7f3998ca8087

Observation a87df220-59b4-43aa-8d57-16e5235fbbff · outbound

This paper cites an unresolved cited work.

Fractional operators via analytic interpolation of integer powers Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:21.948146Z

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=2026-08-14T14:15:21.882270Z digest=sha256:34da6ddb53c755826504df5b387eb03e53cc199ee956ccacc757868d773afb07

Observation b062525e-f04b-4748-b550-0dd2fae1c436 · outbound

This paper cites Klopfenstein, A note on Hilbert spaces of factorial series.

Fractional operators via analytic interpolation of integer powers Klopfenstein, A note on Hilbert spaces of factorial series

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:21.936846Z

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=2026-08-14T14:15:21.885977Z digest=sha256:ff42cf7418e955f8badcd8ab5499d1b166c8ebd83401d5fb690c2a54f932be47

Observation e26c37cb-e45b-4011-9508-0586138bfeea · outbound

This paper cites Whittaker, On the functions which are represented by the expansions of the interpolation theory.

Fractional operators via analytic interpolation of integer powers Whittaker, On the functions which are represented by the expansions of the interpolation theory

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:21.923642Z

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=2026-08-14T14:15:21.890044Z digest=sha256:b177a3057e26fe18a04abed4fc384cef78cdd788cc4a7e3d5b287dea34ace016

Pith citing papers

No inbound Pith citation observations are available.