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Paper Citation Record · LEDGER

Inverse source problem of sub-diffusion of variable exponent

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2501.18228.

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

pith.paper-citation-record.v1
2501.18228 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:22:33.346705Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy18
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85832c57-fd1f-4cd5-8fd1-671eb73f7aca · outbound

This paper cites Abramowitz and I.

Inverse source problem of sub-diffusion of variable exponent Abramowitz and I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.816697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.210885Z digest=sha256:7f019eb3e90fe94af475c3f6915fe05ebe70a185c9b80b60185027176689d1fa

Observation 2c8d1bb5-9f19-457f-8af0-acf32827000a · outbound

This paper cites Adams and J.

Inverse source problem of sub-diffusion of variable exponent Adams and J

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T00:22:33.216309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:22:33.216309Z digest=sha256:7f4c6cba6e6834f1c4bb039fc23f76d5fdf84617cc282e1ec3342d2cd1bf8ce2

Observation bc9ef290-a3f0-427d-85e3-e5aad2feecc0 · outbound

This paper cites Chepizhko and F.

Inverse source problem of sub-diffusion of variable exponent Chepizhko and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.791793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.222155Z digest=sha256:5f513ad081f28a905942ff936671ca443cfe9c99f7dcaadbd427a3d3dc4afe5c

Observation 9b8f124c-5827-47c0-9f22-0354bd3015ff · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.776873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.227060Z digest=sha256:b81b1c183df7776e44056a3dcf4aeaacc18f5885a94914c84f9c8fa69bcdb699

Observation bf9f6ba8-a873-44f7-9b3a-4eb74b7cedd1 · outbound

This paper cites Evans, Partial Differential Equations , Graduate Studies in Mathematics, V 19, Amer- ican Mathematical Society, Rhode Island, 1998.

Inverse source problem of sub-diffusion of variable exponent Evans, Partial Differential Equations , Graduate Studies in Mathematics, V 19, Amer- ican Mathematical Society, Rhode Island, 1998

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.761877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.232180Z digest=sha256:e8c89c012c3867b87ccf5cc21bd6b8fc79e65de8d864618923305c35da9abd37

Observation fb57ba70-19ad-4325-b6f3-1549ce215e88 · outbound

This paper cites Fujishiro, M.

Inverse source problem of sub-diffusion of variable exponent Fujishiro, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.746707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.237063Z digest=sha256:59ef59ac44b8a46e8473135502fb41e7e567b9814585a1b231607bb4a16df1df

Observation 92e3adb2-85fd-4163-b5b0-a7f804e8a493 · outbound

This paper cites Identification of a Spatially-Dependent Variable Order in One-Dimensional Subdiffusion.

Inverse source problem of sub-diffusion of variable exponent Identification of a Spatially-Dependent Variable Order in One-Dimensional Subdiffusion

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:22:33.390438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.242242Z digest=sha256:a0d1742760965123b7ef89b437025c18d802662c8468c289a5e62d89454f2dfc

Observation 282c8d70-6cab-4fe7-98cb-ca0c21d8dbff · outbound

This paper cites Jin, Fractional differential equations–an approach via fractio nal derivatives , Appl.

Inverse source problem of sub-diffusion of variable exponent Jin, Fractional differential equations–an approach via fractio nal derivatives , Appl

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-10T00:22:33.247396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:22:33.247396Z digest=sha256:68ed57a06411a59f214e28ebc9659ffd2c51cfb7a93cdebb23a8f4093850be27

Observation 4210502c-50c7-4ecb-a664-a163d1811162 · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.721041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.251940Z digest=sha256:00855c4acdc9acec57172d3aeba83908ac880a0f05c03ef525933d334c6a3b74

Observation 565a7368-1a76-4e2a-8943-e0e1d01e9605 · outbound

This paper cites Jin and W.

Inverse source problem of sub-diffusion of variable exponent Jin and W

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.706107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.256449Z digest=sha256:b65e9ac20307323a1bb35886cc6086ecbffe828fefc11b0feb7af78f344c7249

Observation 99caf3b4-5d89-4b9d-bb6b-bc29f29d3ac1 · outbound

This paper cites Jiang, Z.

Inverse source problem of sub-diffusion of variable exponent Jiang, Z

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.691449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.260839Z digest=sha256:8afd03e4e5be8c9ee2bff8c5f89b9fc664f0be9d911cc6f177b506e5ba6fe1c1

Observation f76d9979-c4e2-4060-9968-c715b3d0b506 · outbound

This paper cites Kaltenbacher and W.

Inverse source problem of sub-diffusion of variable exponent Kaltenbacher and W

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.676422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.265489Z digest=sha256:3bc47df15193ee092596f9f2b5395f0e29564201d5290589f7297787ca6641f4

Observation 11c7cbd9-461e-4f2a-9170-68e83198388d · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.661619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.270177Z digest=sha256:25a0fe0c2aabaf30d2ecccee1fbdd5b834e4c87797b98734654766eed9818476

Observation 46bd0efe-def9-4381-9fb7-7458138a4582 · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.646799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.274724Z digest=sha256:9cfe3cbcf356e57ee3351f34ed55bb78c476897482114b5be57f98219a460249

Observation 7ff86e72-c09b-49fa-b412-237aa97deac1 · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.632523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.279463Z digest=sha256:992a12025db2c1273c5673b8e0636009e4b032917035fe50e4e5dec6d54b7037

Observation c92b9448-d82a-41b7-b37a-c7c1e2306085 · outbound

This paper cites Le and M.

Inverse source problem of sub-diffusion of variable exponent Le and M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.618155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.284033Z digest=sha256:08d7d1faf2853bb317e924df5e08937c51a679f7a0ffd3ff505c0a65c98224d7

Observation dcd09357-98f1-4a12-ae7a-6ec32d817262 · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.604078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.288679Z digest=sha256:bc9c3451f8c08c815b4070074b6ca98e1baaffa79bef5706dbe8e62f0a1f724c

Observation 33409ed1-71aa-445c-bc57-e7926a73c7bd · outbound

This paper cites Lorenzo and T.

Inverse source problem of sub-diffusion of variable exponent Lorenzo and T

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.588650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.293036Z digest=sha256:7af8344328a78f18f8a81578ff5c740ca43dd465015b9daf827858274d430bc4

Observation aa80b4c2-051b-485b-bdf7-6798f2890880 · outbound

This paper cites Sakamoto and M.

Inverse source problem of sub-diffusion of variable exponent Sakamoto and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.574883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.297508Z digest=sha256:437a2753ae478d29e37966c2a360e6ab811eb9627242dcb609ced15a4479f41d

Observation e5aae39a-e228-418d-8f63-1ce28f6352e1 · outbound

This paper cites Slodička, Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators.

Inverse source problem of sub-diffusion of variable exponent Slodička, Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.560845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.302027Z digest=sha256:030bca2c364901f5684159a4e54e699dd46db2a9fb9dbcf161ed1c3b74dd5a50

Observation beef3295-165c-4801-a64b-584d97cd9d5b · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.545482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.306846Z digest=sha256:a67fda95c644b31069ec2eeb284374942dd6fc6ddd6ec5a504e526a18088f535

Observation 68a77fa2-b3c2-4873-9211-6b064705c88c · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.530247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.311341Z digest=sha256:b75618faf219be504f2de5536d761c3fc57d00638ec842c5e27bed6472fa3c48

Observation 9f06d4b5-ae39-4bf7-82f8-4f88a6e77baa · outbound

This paper cites an unresolved cited work.

Inverse source problem of sub-diffusion of variable exponent Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:22:33.515901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.315727Z digest=sha256:b796f92beaf4b1d2f0c99570905b2b067b150fa1cad4ab98a77614190ad1a5a3

Observation dddd7c40-e3cc-419f-8b80-ddacd06355b6 · outbound

This paper cites Sun and J.

Inverse source problem of sub-diffusion of variable exponent Sun and J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.501684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.320141Z digest=sha256:4678dd832dc76326938178e39070dac6a2175399bd9ba70cd1ae52ce3cae2af0

Observation 1bf59222-b395-478e-9c71-daa4e2983a36 · outbound

This paper cites Sun and J.

Inverse source problem of sub-diffusion of variable exponent Sun and J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.487801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.324523Z digest=sha256:d4a67087b17b30353daaeab255eb1610e3234aef38fa6b5831ccdcedc22a7af6

Observation 2813fdc4-0cfb-4fde-92d5-d8616659f748 · outbound

This paper cites Umarov and S.

Inverse source problem of sub-diffusion of variable exponent Umarov and S

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.471572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.328677Z digest=sha256:cca6f5f4dc4ab081b25094a62adc22b474c6e2e0c98262918e6730a27050b7b7

Observation 91a9cf1b-c714-4df9-90ed-1e68ecf75059 · outbound

This paper cites Zhang and Z.

Inverse source problem of sub-diffusion of variable exponent Zhang and Z

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.456015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.332946Z digest=sha256:4c9020eff2bc57adb369284d9eaf20884e3f4b3391849d9eef960cce35b3d781

Observation 26b0329d-a41b-4a6c-b6b4-848909da36d6 · outbound

This paper cites Zheng, Y.

Inverse source problem of sub-diffusion of variable exponent Zheng, Y

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.439835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.337370Z digest=sha256:3d1196a89dac596d27fbad889a721595e1b3c9170c036a4ed623290b4829af2d

Observation 6c9bbd93-e350-41d6-a155-5ba23c3fe3a4 · outbound

This paper cites Zheng, Two methods addressing variable-exponent fr actional initial and boundary value problems and Abel integral equation.

Inverse source problem of sub-diffusion of variable exponent Zheng, Two methods addressing variable-exponent fr actional initial and boundary value problems and Abel integral equation

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.423475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.342084Z digest=sha256:68eeb3528a6894e411a9bf3611b7f2bdf1b2e1256cca20c0323ba2965dc31f65

Observation 01c5d40a-2ff5-49e9-8370-710989d70abe · outbound

This paper cites Zhong, W.

Inverse source problem of sub-diffusion of variable exponent Zhong, W

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:22:33.406928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:22:33.346705Z digest=sha256:67ae055b1cf8d31801ee3ded5d20eb936f085e0fd08736b8893efe182fbdc0ae

Pith citing papers

No inbound Pith citation observations are available.