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Paper Citation Record · LEDGER

Least gradient problem on annuli

As of 23 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.09113.

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

pith.paper-citation-record.v1
1908.09113 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:31:33.663404Z

measured 24 of 24 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

24 of 24 outbound references displayed

  • verified exact2
  • verified fuzzy21
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1342ba7e-39ff-47e6-90b2-9739dc4cec38 · outbound

This paper cites Beckmann, A continuous model of transportation,Econometrica 20, 643–660, 1952.

Least gradient problem on annuli Beckmann, A continuous model of transportation,Econometrica 20, 643–660, 1952

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:35.045217Z

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=2026-08-14T11:31:33.276151Z digest=sha256:2acce35ac206937da8d4b77156c60ca768d9d6e3092d5523b216ae6b394269dc

Observation 4a195150-b3aa-48a6-a5d4-7c20dd9a9e0c · outbound

This paper cites Bombieri, E.

Least gradient problem on annuli Bombieri, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.966596Z

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=2026-08-14T11:31:33.298074Z digest=sha256:515a823d3b06445ce59f80dc7d92139b9a55bf7eb178ec4b02985e6980656ea4

Observation 165d7ffa-389e-4685-bc95-d61b18afa26b · outbound

This paper cites De Pascale, L.

Least gradient problem on annuli De Pascale, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.910847Z

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=2026-08-14T11:31:33.309840Z digest=sha256:dee41624154e8246f3597405719c55b4758f8facc2bc5bd35b9f53e5db176e2b

Observation 1fef4a09-6b3b-4ac9-8d23-255cf23e935e · outbound

This paper cites De Pascale and A.

Least gradient problem on annuli De Pascale and A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.848449Z

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=2026-08-14T11:31:33.326305Z digest=sha256:05339b65193a163e03e4120dae1f716c80a31726cc2fe9494c7d16d97c282eb4

Observation a5ffa5a6-4a4f-4882-b2b4-f3ca777d7d60 · outbound

This paper cites De Pascale and A.

Least gradient problem on annuli De Pascale and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.813640Z

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=2026-08-14T11:31:33.345918Z digest=sha256:2a91014dcddae03e158a243a27a283cdd195e65ef0115129e7baf27a15cc0e10

Observation 92c4722b-3dd0-4ab1-847e-2ca86806ba65 · outbound

This paper cites Dweik and F.

Least gradient problem on annuli Dweik and F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.778359Z

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=2026-08-14T11:31:33.372069Z digest=sha256:2b89f3bbc7a2443955a28dda3b762a1fce74237488a74ae685b1cc3275fb3645

Observation 40dc7d5d-82d8-4e43-9d4c-80d5d08ea2a0 · outbound

This paper cites Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques.

Least gradient problem on annuli Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:31:33.877698Z

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=2026-08-14T11:31:33.423001Z digest=sha256:7be3c512de102a04f213394f1c4908ce299a2915f90a94b216b54db857fc6047

Observation d042ea7c-2123-4e8f-b50c-f4b9a5c95ab0 · outbound

This paper cites Ev ans and R.F.

Least gradient problem on annuli Ev ans and R.F

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.733848Z

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=2026-08-14T11:31:33.445373Z digest=sha256:32018e8a0379e4bef75cbc0ce4cb68744f0ff0bfa6eb82614e29c3e1f33260c1

Observation 335abd52-537c-430b-b679-642869ef0e3f · outbound

This paper cites Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Basel, 1984.

Least gradient problem on annuli Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Basel, 1984

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.680070Z

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=2026-08-14T11:31:33.456487Z digest=sha256:5beeeef54e9f7eb41479b1344e21e18526ebb533d1b3369ed2379e81edbb9814

Observation 9904551a-eb18-4ba1-a05b-c219a7d8df5b · outbound

This paper cites Górny, Planar least gradient problem: existence, regularity and anisotropic case,Calc.

Least gradient problem on annuli Górny, Planar least gradient problem: existence, regularity and anisotropic case,Calc

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.635551Z

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=2026-08-14T11:31:33.472565Z digest=sha256:cf1874fc6db692d8d4bc4f446d27fe859ab1fc3456949abd962e843e718d244a

Observation 7fc3f64a-1d21-4993-a3b9-47aef8cebdff · outbound

This paper cites Górny, Existence of minimisers in the least gradient problem for general boundary data,Indiana Univ.

Least gradient problem on annuli Górny, Existence of minimisers in the least gradient problem for general boundary data,Indiana Univ

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.545399Z

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=2026-08-14T11:31:33.482726Z digest=sha256:4f17438e36108a724394d91873d2fac832fcdccfd4088f3fd0425391f70df2da

Observation 2aa2c7d3-9344-4c30-8c4b-0769e4cac722 · outbound

This paper cites Least gradient problem with respect to a non-strictly convex norm.

Least gradient problem on annuli Least gradient problem with respect to a non-strictly convex norm

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:31:33.793141Z

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=2026-08-14T11:31:33.500705Z digest=sha256:1f2dae83f0a77c5acd20a0446632040b59822272a36d6674b2c275eeb3e0c783

Observation 867c34d8-a9c9-496c-bcdc-9f7fef4e8b8d · outbound

This paper cites Górny, P.

Least gradient problem on annuli Górny, P

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.512262Z

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=2026-08-14T11:31:33.521701Z digest=sha256:478269997508d047eb5b6cc50bae17e1ed6c0821bd21f408d52d0d857d218c05

Observation 74a2b7d8-2268-4d3a-8a27-b2275077d0fe · outbound

This paper cites Kantorovich, On the transfer of masses,Dokl.

Least gradient problem on annuli Kantorovich, On the transfer of masses,Dokl

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.401604Z

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=2026-08-14T11:31:33.530488Z digest=sha256:ddb208f4a5f868a643a216089672954adc81fbc4bf4fe168e11e6e36f3902715

Observation 397995a9-6c3e-4c3d-ac53-83ce28e4171f · outbound

This paper cites Mazón, J.D.

Least gradient problem on annuli Mazón, J.D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.312700Z

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=2026-08-14T11:31:33.539672Z digest=sha256:2a1e611b6fd1afeaa1b54db1be67a64bfe308451cc9cca56d1f73ca4bfe3d1a4

Observation d0f37ba8-8ad8-46fa-a3b3-8ac39f415567 · outbound

This paper cites Monge, Mémoire sur la théorie des déblais et des remblais,Histoire de l’Académie Royale des Sciences de Paris (1781), 666–704.

Least gradient problem on annuli Monge, Mémoire sur la théorie des déblais et des remblais,Histoire de l’Académie Royale des Sciences de Paris (1781), 666–704

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.269291Z

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=2026-08-14T11:31:33.553309Z digest=sha256:b51c17f84a75a98ff7019a2b921cd040fb1b59e2bc7438ef2a52298c64dd58f5

Observation a857a0c7-bc3d-44fc-8da6-4f234e723512 · outbound

This paper cites Moradif am, Existence and structure of minimizers of least gradient problems,Indiana Univ.

Least gradient problem on annuli Moradif am, Existence and structure of minimizers of least gradient problems,Indiana Univ

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.223607Z

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=2026-08-14T11:31:33.564031Z digest=sha256:a865fc75180d7a647e33fd6902516cdda504d8e8ce1931f84cfe114bce0d635d

Observation cabe77f3-c31c-4e88-92ba-0a5ad7717a65 · outbound

This paper cites Rybka and A.

Least gradient problem on annuli Rybka and A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.182982Z

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=2026-08-14T11:31:33.581674Z digest=sha256:04c1d4d93fad26356d505233ea3f8f55e992deae6ef785de4e16ce63a6a2d7fa

Observation 2a9869da-fc51-43c3-a3a2-fcb31feaf36b · outbound

This paper cites Santambrogio, Absolute continuity and summability of transport densities: simpler proofs and new estimates, Calc.

Least gradient problem on annuli Santambrogio, Absolute continuity and summability of transport densities: simpler proofs and new estimates, Calc

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.125700Z

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=2026-08-14T11:31:33.590835Z digest=sha256:3ec268d8f6fa09ac121ffad852fd7b3fd418f11339b9de407616fe2b65c21714

Observation f6ce0713-1d19-469f-9b4e-72ffb427f164 · outbound

This paper cites Santambrogio,Optimal Transport for Applied Mathematicians, inProgress in Nonlinear Differential Equa- tions and Their Applications87, Birkhäuser, Basel, 2015.

Least gradient problem on annuli Santambrogio,Optimal Transport for Applied Mathematicians, inProgress in Nonlinear Differential Equa- tions and Their Applications87, Birkhäuser, Basel, 2015

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:34.045374Z

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=2026-08-14T11:31:33.609248Z digest=sha256:7571501e3144779495d041b23455365b4cc0dfe31a4ab18ef5e212ff801085ae

Observation ffe56192-d55d-44f8-9f92-b2f06a86193d · outbound

This paper cites an unresolved cited work.

Least gradient problem on annuli Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:31:34.009692Z

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=2026-08-14T11:31:33.628267Z digest=sha256:b025bbf8417bd7cf03a5b44273ca9fcadfc788956b31815526a5a5b432c8cf35

Observation 4a307191-b740-4319-a495-1c2d26552e1d · outbound

This paper cites Sternberg, G.

Least gradient problem on annuli Sternberg, G

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:33.979018Z

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=2026-08-14T11:31:33.642899Z digest=sha256:0e27a790411db9410044495768c33e85cfbacdd3085b1d13e9058499aa1cc7f3

Observation 1f109adc-75bf-4b93-9660-c54a0d9469db · outbound

This paper cites Sternberg and W.P.

Least gradient problem on annuli Sternberg and W.P

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:33.940830Z

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=2026-08-14T11:31:33.650433Z digest=sha256:d50cac913fd26d6ecc71f364ecd8f21397e6a642f1aa64b39f86a98d70709177

Observation 85b1212a-494b-4ae0-998e-5d7b8568574c · outbound

This paper cites Villani, Topics in Optimal Transportation, Graduate Studies in Mathematics.

Least gradient problem on annuli Villani, Topics in Optimal Transportation, Graduate Studies in Mathematics

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:31:33.907348Z

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=2026-08-14T11:31:33.663404Z digest=sha256:cea9dd354659ccfa0009f0d098f90cfe08088c2fa75fe9bee5aa60024cda8a99

Pith citing papers

No inbound Pith citation observations are available.