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Paper Citation Record · LEDGER

Least gradient problem on annuli

As of 16 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 2026-08-16T06:30:59.297886+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

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.276151Z digest=sha256:fb08c486a7be1aea2246de966bb313bbf739a564937eeb343fe0dc170e6280fb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.298074Z digest=sha256:dd59cb2d0dd0a8b4d719b0db7c6946b5ff609ecb80d29ea61d6be15ba8bb5c80

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.309840Z digest=sha256:ec385ca2e783f03e3fb9ee3f33e3c814383d3100ee2eadc672db294e3142f8fb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.326305Z digest=sha256:d92e2a328b3f276a5c38c0c355678d5eff6db905e00c6bee28239232fadcae55

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.345918Z digest=sha256:636f65be20cfb292e78fd2218d8471d955c2a35c340a430dd36f003ae7d73d5f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.372069Z digest=sha256:18dd2fa2937f12678c3ac2ff827b0b6e215e0077abe48e083f4363bb851e2f98

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.423001Z digest=sha256:c1abad0a20488d808d618b3e00629eaee0ad69cc4dc8829ca62b4b8158b18ee4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.445373Z digest=sha256:0f3d4195cdfdd7a90fe158b7369b3340a4214bb89ec11a08d842af99ed394d8e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.456487Z digest=sha256:ce45b04e2c4e1e37593221ad26c1ccf2552e2d95188f47068aa528e177cb10d5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.472565Z digest=sha256:052049ce372d092ee338f13b42a10a1c4167eacd91867b115e1521f1badb243e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.482726Z digest=sha256:c8a966704d34f91dab97751f161100a6cb125ab01c8dc8a3d354f25689522eef

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.500705Z digest=sha256:5987ae113f138040abfa5f78db553d6d44b611df024f6fc4a2e8405208b6dea1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.521701Z digest=sha256:218c9faa0a20ecf0af671e2cd25c5cc42736dc6e2e99e1f7b60f129dbd3f395b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.530488Z digest=sha256:60c7710bd4eb1313471c0cdc26bd105200e7790788ec1ab8294d4763a66cf1c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.539672Z digest=sha256:1b1bedd935182ca74e436a47734cafc4f748959d2aefec62e0f322d3960792a0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.553309Z digest=sha256:0f4f6c91acaba9b755ca28dbf3dd2db7071dc2d2207cd9e094dfb9b9b2616aa0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.564031Z digest=sha256:13dfadc01b942b298017a2a4c82c8e3d992e621a0b03f155da51b2ab60b2790f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.581674Z digest=sha256:6232f2359dc444a65688b43193b886f648ac33aa2a73878d41a3bfe4f6c54ab3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.590835Z digest=sha256:fdd7b6ba7ca2aa5f2e95564603f44e79b9539c059f76913ed2daac33170be906

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.609248Z digest=sha256:b5792c7ee739a3bbcfb123a51021297c83404b21f9aa83d1de693810325dea2e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.628267Z digest=sha256:72d275332d1cc9a6dfad8cbc74e73c3b87378167847e25e5bf52927ec3580175

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.642899Z digest=sha256:1cbb5430d3d4025dff8db489da708eec4284f939cef60c6e7834a91baec586dc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.650433Z digest=sha256:ba935ecb53b336c516597623926086760b4c6169bac05a619dd2b7a3dd2737a5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:31:33.663404Z digest=sha256:021f362c6c589543e25a88f61cf46857eb34c580497048a0c068fa4b1bfd6a5f

Pith citing papers

No inbound Pith citation observations are available.