Paper Citation Record · LEDGER

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.01796.

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

pith.paper-citation-record.v1
1908.01796 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:10:04.576202Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy17
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a98a73f-08ae-4e6e-a99b-9e834f17b594 · outbound

This paper cites Aris, Vectors, Tensors, and the Basic Equations of Fluid Mechanic s, Dover, New York, 1962.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Aris, Vectors, Tensors, and the Basic Equations of Fluid Mechanic s, Dover, New York, 1962

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:05.173708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eb36c009-e643-44c2-b058-97a4cc904161 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:05.156177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a161256c-e026-46ca-84b4-233072ff6811 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:05.138850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c3d6e9d9-79e9-42e8-979f-47f93f70b638 · outbound

This paper cites Bertalmio, L.-T.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Bertalmio, L.-T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:05.122399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c9378d04-4de2-44da-837d-9de58b81c29f · outbound

This paper cites Bouchon, Monotonicity of some perturbations of irreducibly diagona lly dominant M- matrices, Numer.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Bouchon, Monotonicity of some perturbations of irreducibly diagona lly dominant M- matrices, Numer

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:05.106072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 269a0f2c-09e3-445c-9403-4c591a87a900 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:05.089544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 79687559-5f50-4195-af5e-85169430a6ab · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:05.072843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d9ee09a-41c5-4784-8a46-2e21ee1c771e · outbound

This paper cites Chen and C.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Chen and C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:05.055651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6489a624-f298-4080-9b93-1de9d6b80907 · outbound

This paper cites Chu and R.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Chu and R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:05.039317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2332e79a-0b82-42b1-978f-2618583fde86 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:05.023892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d8e23c6-47a1-4e5a-97ac-e8a919c5ad91 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:05.007607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3d85a8f-bb1e-4054-af60-6fdd3ea400fe · outbound

This paper cites Dziuk and C.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Dziuk and C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.991998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 896fc216-8d90-4eb4-871b-46dfb7070895 · outbound

This paper cites Fornberg and N.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Fornberg and N

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.976281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f3119f24-8062-4273-9367-fc7ea75b6361 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.960399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3619a94a-11fc-4895-9b16-3b5bff17f655 · outbound

This paper cites Hackbusch, Elliptic Diﬀerential Equations: Theory and Numerical Trea tment, sec- ond ed., Springer, Berlin, 2017.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Hackbusch, Elliptic Diﬀerential Equations: Theory and Numerical Trea tment, sec- ond ed., Springer, Berlin, 2017

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.944340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 914f1345-bb39-41c7-b05f-df00c51a2ff4 · outbound

This paper cites Leung, J.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Leung, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.928481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b187231a-16bf-41c5-a20f-bab6b8643030 · outbound

This paper cites Liang and H.-K.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Liang and H.-K

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.913041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation badb0805-65a4-437f-8cda-e2c1f7df5fd3 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.896012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ab612fdb-0a1e-45c2-8c01-a518d88fd03b · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.878493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 151ad132-5e78-4887-b3d4-383c70e2e1e3 · outbound

This paper cites Petras and S.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Petras and S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.861423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12dd21d0-80e3-41f6-b21d-289be1ea48de · outbound

This paper cites Peyret and T.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Peyret and T

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.844896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54beb9f3-3e04-4057-b9bc-42b13b19e311 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.828107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 256b52ac-7b92-4721-8809-2a5a5eea5578 · outbound

This paper cites Schwartz, D.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Schwartz, D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.812101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 326fd043-2791-4191-b6f3-afbf5c195642 · outbound

This paper cites Shankar, G.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Shankar, G

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.795809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2c604ec7-9bf3-471b-abf6-ea8ae52e00a1 · outbound

This paper cites Staniforth and J.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Staniforth and J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.779005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9242acf0-1cbc-4107-890e-98bb2f40fc37 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.761569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ba5b3299-af08-46c9-92bb-6815443381a0 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.744048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8957cf17-625b-44cd-9a2d-e7ac978cdb77 · outbound

This paper cites Wang, S.-Y.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Wang, S.-Y

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.727208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5880ff95-9186-4505-9e1c-6cd812b11a88 · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.711905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3dae1c7-d4fd-4d75-b73a-1566dd80962b · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:10:04.696547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c7c64d83-e337-4aa1-9e2e-956f39da963f · outbound

This paper cites an unresolved cited work.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-14T15:10:04.570990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30a1d91f-855c-48f9-964e-6c79ba5f8a49 · outbound

This paper cites Ying and W.-C.

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids Ying and W.-C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:10:04.679039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.