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Paper Citation Record · LEDGER

The unified theory of shifted convolution quadrature for fractional calculus

As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.01136.

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

pith.paper-citation-record.v1
1908.01136 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:34:11.272192Z

measured 37 of 37 standing notices

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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.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved15
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f28899d-86ea-4c81-b7a8-4423ac652893 · outbound

This paper cites Lubich, Discretized fractional calculus, SIAM J.

The unified theory of shifted convolution quadrature for fractional calculus Lubich, Discretized fractional calculus, SIAM J

Reference 1

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raw_fallback, observed 2026-08-14T15:34:13.270412Z

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.

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Observation 86ea574d-1430-4bae-9f31-f895dd319627 · outbound

This paper cites Lubich, A stability analysis of convolution quadratu rea for Abel-Volterra integral equations, IMA J.

The unified theory of shifted convolution quadrature for fractional calculus Lubich, A stability analysis of convolution quadratu rea for Abel-Volterra integral equations, IMA J

Reference 2

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raw_fallback, observed 2026-08-14T15:34:13.218592Z

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source=pdf_text observed=2026-08-14T15:34:10.724747Z digest=sha256:099f4cd7e183fbb0fb1032c6e904d2d83e46bc08b758928e438c35b991c96de1

Observation c48a225d-037c-475f-8213-73f9b276aad1 · outbound

This paper cites Dahlquist, Convergence and stability in the numerica l integration of ordinary differential equations, Math.

The unified theory of shifted convolution quadrature for fractional calculus Dahlquist, Convergence and stability in the numerica l integration of ordinary differential equations, Math

Reference 3

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raw_fallback, observed 2026-08-14T15:34:13.140491Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.736829Z digest=sha256:767b837ec2f5f3fb6ca6a88887a04a0ca3804e84ce482e3ec45df2887faa2821

Observation 2e61fa80-586c-4017-9ee7-ed56c87c286c · outbound

This paper cites Dimitrov, Numerical approximations for fractional d ifferential equations, Journal of Fractional Cal- culus and Applications, 2015, 5(3S)(22): 1-45.

The unified theory of shifted convolution quadrature for fractional calculus Dimitrov, Numerical approximations for fractional d ifferential equations, Journal of Fractional Cal- culus and Applications, 2015, 5(3S)(22): 1-45

Reference 4

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raw_fallback, observed 2026-08-14T15:34:13.093445Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.754321Z digest=sha256:3185706124134795312a6a52c3e3836c02003dfe4452e2f2218f6c21894683f5

Observation effc50bb-89ac-488c-89ad-420876e6eb91 · outbound

This paper cites Gao, H.W.

The unified theory of shifted convolution quadrature for fractional calculus Gao, H.W

Reference 5

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raw_fallback, observed 2026-08-14T15:34:13.064226Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.769562Z digest=sha256:1a7d6c3b53e86b5af1e8d4d258dd85a842908ddd6e38d3c70d1f9ceea29e6d94

Observation a11f98af-122f-465b-9dad-5580cf4952fc · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.789078Z digest=sha256:4d1ba9b85eeb91f6fab8fdbbd4ae4266f4e2f159f23b1a7c935637afe00fff9f

Observation c3aa372b-71c1-4136-8d56-40c63a4286b5 · outbound

This paper cites Zeng, Z.Q.

The unified theory of shifted convolution quadrature for fractional calculus Zeng, Z.Q

Reference 7

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raw_fallback, observed 2026-08-14T15:34:12.980804Z

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source=pdf_text observed=2026-08-14T15:34:10.813429Z digest=sha256:a86f0512997702305ed6fb9f0bcc76ce1599d9f70633a7a4bcc80f9c9ff765f1

Observation 66cdc064-a48e-4c32-b457-c2d91ca390f6 · outbound

This paper cites Liu, Y.W.

The unified theory of shifted convolution quadrature for fractional calculus Liu, Y.W

Reference 8

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doi, observed 2026-08-14T15:34:11.368388Z

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source=pdf_text observed=2026-08-14T15:34:10.842587Z digest=sha256:0a6dc1d81abf88e1ca33ebf7f0a6c672071ec47edb59dc043cafbdb1b8bc3cac

Observation 8eec9a90-7800-4402-8654-ba80da8d69cf · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-14T15:34:10.860306Z digest=sha256:015bb66d9e41d8a4442fb2434e95267953399bf6b4fbe0f695b9dc13eebf1350

Observation 87b177f8-75c1-4abf-83d9-e0b6f81f73b5 · outbound

This paper cites Baffet, J.S.

The unified theory of shifted convolution quadrature for fractional calculus Baffet, J.S

Reference 10

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source=pdf_text observed=2026-08-14T15:34:10.885774Z digest=sha256:b9065854d80fd50a0b3fbb6f4f66f95c059d6aaa1894870431e4d15498223b29

Observation 5ce2f502-33eb-4cc5-ab84-a1f10cc37ef9 · outbound

This paper cites Ding, C.P.

The unified theory of shifted convolution quadrature for fractional calculus Ding, C.P

Reference 11

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Observation 618dfda9-ed1b-4eab-b7b9-460de285609d · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 12

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Observation df654b67-fce8-44d4-af23-f135c251bed7 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.953414Z digest=sha256:c8726714323a9cec5a248ab333cbfaa26879a032b7abc6e1793301f5e62c2da4

Observation af73f052-6f4c-46bf-b96c-817e599709e9 · outbound

This paper cites Zeng, C.P.

The unified theory of shifted convolution quadrature for fractional calculus Zeng, C.P

Reference 14

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source=pdf_text observed=2026-08-14T15:34:10.967292Z digest=sha256:d669f57169ef0ce26a3da29f0069af3a5dee624e6e5b345ea51df9de98a61487

Observation feffbfde-f849-40ae-8917-75dc1f480833 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.982149Z digest=sha256:ac323f0dd84ba9117e5d9c127da9cf7e5cd4144c9bbd676ca8c8894540fab83a

Observation 52c6a8a1-1624-4c12-8403-069d615d72d7 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 16

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:10.991311Z digest=sha256:231f39765239d64ba68803ea967a200479822dd37cc3824115e09ce2379ed019

Observation ea2dd177-f987-4201-8f42-ef6ca9c323ac · outbound

This paper cites Tadjeran, M.

The unified theory of shifted convolution quadrature for fractional calculus Tadjeran, M

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:11.009603Z digest=sha256:a10a5a3436217e1a026975b4b66615f66c65df41dc4057c5abf3fb727ba55667

Observation aea35327-444f-472e-be12-2bfd398fe024 · outbound

This paper cites Gunarathna, H.M.

The unified theory of shifted convolution quadrature for fractional calculus Gunarathna, H.M

Reference 18

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source=pdf_text observed=2026-08-14T15:34:11.020310Z digest=sha256:39cfc7e2b0dff1bb578790f8f4609d77adbd9d5269c5192d79f30bb7b822c909

Observation 677bf69d-2c4d-4f22-a3c7-d8bd9319a13c · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 19

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Observation db26ded5-785f-4e44-bc2d-e804c4a66358 · outbound

This paper cites Liu, Y.W.

The unified theory of shifted convolution quadrature for fractional calculus Liu, Y.W

Reference 20

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source=pdf_text observed=2026-08-14T15:34:11.047980Z digest=sha256:063d5d4c56b82de7415c83825463624ce4d96601ccb4269f5af44777939be5d6

Observation 2657c4d9-50f3-441d-a814-66dbe121a05c · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 21

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Observation 64d048e4-679b-40fd-9772-00eac8e6a082 · outbound

This paper cites Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations.

The unified theory of shifted convolution quadrature for fractional calculus Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations

Reference 22

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local_arxiv, observed 2026-08-14T15:34:11.449731Z

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Observation f1382589-c7cd-416e-adde-9eecdbc4bf66 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-14T15:34:11.081250Z digest=sha256:8cd0f355431f4e5c1315ce5ac7c6f87c5d714088f763458d31156eebd81feffd

Observation e574f5c3-c468-4194-b64c-ebcd9cedbb2c · outbound

This paper cites Jin, B.Y.

The unified theory of shifted convolution quadrature for fractional calculus Jin, B.Y

Reference 24

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raw_fallback, observed 2026-08-14T15:34:12.228450Z

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source=pdf_text observed=2026-08-14T15:34:11.088655Z digest=sha256:54be0b6597ddb6700bc5f1926663c68e18f377ab989407b30112f88927b9afe3

Observation bbf8368b-613d-4274-85df-ee0089ce4a39 · outbound

This paper cites Ford, Y.B.

The unified theory of shifted convolution quadrature for fractional calculus Ford, Y.B

Reference 25

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raw_fallback, observed 2026-08-14T15:34:12.172467Z

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source=pdf_text observed=2026-08-14T15:34:11.098768Z digest=sha256:85cb0d67f0c6c51206a0c9e688b308b005eaaf742e3270f473dfd8d8203a90e3

Observation 8a31c214-384a-4368-ba64-c9f08dfb71f0 · outbound

This paper cites Yang, General Fractional Derivatives: Theory, Me thods and Applications, Chapman and Hall/CRC, 2019.

The unified theory of shifted convolution quadrature for fractional calculus Yang, General Fractional Derivatives: Theory, Me thods and Applications, Chapman and Hall/CRC, 2019

Reference 26

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raw_fallback, observed 2026-08-14T15:34:12.119116Z

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Observation 85314bce-3f1e-45e5-822c-32a138cdf74c · outbound

This paper cites Dehghan, M.

The unified theory of shifted convolution quadrature for fractional calculus Dehghan, M

Reference 27

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raw_fallback, observed 2026-08-14T15:34:12.056571Z

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source=pdf_text observed=2026-08-14T15:34:11.127699Z digest=sha256:fdd3b0b7a5dcf81f59fcca05a99aeb1350a979fde6b7ed66bd0ab822333fa31d

Observation 9a765f6d-4cc9-46d3-acbc-aa3e11bab9c8 · outbound

This paper cites Feng, F.W.

The unified theory of shifted convolution quadrature for fractional calculus Feng, F.W

Reference 28

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raw_fallback, observed 2026-08-14T15:34:11.997399Z

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Observation e368d3ff-77a0-4e5b-a569-f262f9d8a703 · outbound

This paper cites Baleanu, K.

The unified theory of shifted convolution quadrature for fractional calculus Baleanu, K

Reference 29

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raw_fallback, observed 2026-08-14T15:34:11.943208Z

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Observation 47b62ebe-bed4-46e6-828f-a5529016faa9 · outbound

This paper cites Zhao, A.J.

The unified theory of shifted convolution quadrature for fractional calculus Zhao, A.J

Reference 30

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raw_fallback, observed 2026-08-14T15:34:11.876469Z

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Observation f48e06ac-1f73-4255-aca9-fe039ce6dcb3 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 066d98df-2580-4abd-965e-fe9956eacff2 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 32

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Observation da763290-5ce9-43cd-9ffc-cbfef012e32e · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 34dcaff5-adf5-4713-b3cb-84c601758c79 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 13361ea9-edd5-4f0b-8139-1fffb1a90dab · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:11.245840Z digest=sha256:ada78689476f5dcdeb9330fcf2cec76fbb3d0c9eb6412171103919bada4a5738

Observation ec0dc11d-e220-479c-af0d-e6d071841b88 · outbound

This paper cites Chen, W.H.

The unified theory of shifted convolution quadrature for fractional calculus Chen, W.H

Reference 36

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raw_fallback, observed 2026-08-14T15:34:11.538314Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:34:11.257080Z digest=sha256:01c2312b6364139bee86f211ce37d8478555ef9c4421e450032fb376e316438e

Observation 3e1485f0-4194-4e86-8697-1b1f8128ed71 · outbound

This paper cites an unresolved cited work.

The unified theory of shifted convolution quadrature for fractional calculus Unresolved cited work

Reference 37

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raw_fallback, observed 2026-08-14T15:34:11.493339Z

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=2026-08-14T15:34:11.272192Z digest=sha256:18beb62d33edf74c435d8e3e920dd4e2aafdd30a35003a1184dccd5b3efaa6db

Pith citing papers

No inbound Pith citation observations are available.