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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:f2e6df15482e14536651ee6ba462f3a375989b754a1e9f23d1f5adbe62b70973

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=sha256:2324f5e075b8fb805ddfcf6727a66ba78812c9654562c3e5f8c380d9d514d80a

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=sha256:8532ceecb3b14d37d4d496d2e844268b44824a85e859b4c743f8c7616407cab1

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:c70a2f844a70c66499764806f0bb3a7fcdf4e7b748d30ff38fee1a5e32cf6c96

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:cfed527fbbd46165f880877a6393345a0976c18ba5b9cf1861aa631a433cb74b

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=sha256:16774ee2e7fdfa6ca65d798691210d51c05880a77482edf018a4ff41f1aa9069

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=sha256:0a200f12e1cfcba49a3bf9a8a6a0b682ec15cb706815bb7b3da7584fc0472d77

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:a52ae9d7eb99ffdae8e0be4ff2aaee943f69530e011411e263f059e4ee34b76f

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:cb4828eebfb9d9e719599003e8066e93de619ee550a1984b9ed807c6e1bafd1c

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=sha256:49f11524593330b4744993b6e75aad09962552c7e44b2bbd351c5b06a5fef25f

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=sha256:90f1ceecc0af2ad2c62ec6bf70c50343027b014e45e1837a32bc3d01ab0db6ea

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=sha256:74b9f403ec236507db16a709040b1fc89c493ef3c16c6b4ec5480681b1dba7cf

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:d5f21771989e0c058139c64d306aed7f11ae084e0b09141f08d4accc47b5aa70

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:f22bfa86cafbff6bfed1a5f951d585ae1fe053ae98d7f10a2c042dc060657913

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:a2ae5714444f0b6d6a816ec5a5eb55080bd47de26cd7ec39898767a8e45cb753

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=sha256:7df45949b05ac0a0fce97debb01d6834055616fff72600bb6cb41c0afacb24e1

Pith citing papers

No inbound Pith citation observations are available.