Paper Citation Record · LEDGER

Singular periodic solutions to a critical equation in the Heisenberg group

As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.02264.

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

pith.paper-citation-record.v1
1908.02264 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:01:21.872233Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

29 of 29 outbound references displayed

verified exact0
verified fuzzy13
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58ea1ae3-bc68-4463-a83c-09ba34b92021 · outbound

This paper cites Progress in Mathematics, 240.

Singular periodic solutions to a critical equation in the Heisenberg group Progress in Mathematics, 240

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:23.124651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 816b02d2-74b4-4509-b390-efb25b65ba68 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:23.066585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b593a276-c777-4441-9cb6-ba928d7ca909 · outbound

This paper cites Bahouri, J.

Singular periodic solutions to a critical equation in the Heisenberg group Bahouri, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:23.035459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a9bd636-f78e-4986-a4da-0931c5b729e8 · outbound

This paper cites , 2000, Ricerche di matematica, vol.

Singular periodic solutions to a critical equation in the Heisenberg group , 2000, Ricerche di matematica, vol

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.988797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8806d02b-0a61-41fb-a3e4-52bd49ea0dbe · outbound

This paper cites CRC Press, Boca Raton, FL, 1991.

Singular periodic solutions to a critical equation in the Heisenberg group CRC Press, Boca Raton, FL, 1991

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.939503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e55f0766-1141-4b40-ac68-cbf8c9537c9a · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.890141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fd67b345-93af-43a8-8933-95f9ff94f34f · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.836910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9ea5fc88-8433-46f9-9925-64f6f07a2445 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.781885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c2e9be57-51a8-4c4f-8560-f3df756bfcd6 · outbound

This paper cites American Mathematical Society, Providence, RI; International Press, Boston, MA, 2001.

Singular periodic solutions to a critical equation in the Heisenberg group American Mathematical Society, Providence, RI; International Press, Boston, MA, 2001

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.743875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cca99521-be32-46cd-af25-003e8016a69b · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.691513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0634e4c1-a36e-40e3-b5d2-b0386b51941e · outbound

This paper cites Birkhäuser Boston, Inc., Boston, MA, 2006.

Singular periodic solutions to a critical equation in the Heisenberg group Birkhäuser Boston, Inc., Boston, MA, 2006

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.651915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f5de96d-fd8d-4643-b737-a8a6011c417f · outbound

This paper cites Princeton University Press, Princeton, NJ, 1989.

Singular periodic solutions to a critical equation in the Heisenberg group Princeton University Press, Princeton, NJ, 1989

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.572629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af14c704-9ebc-4e38-beaf-7ace47049175 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.532125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 501f7dde-46d2-45f9-a8b4-18973a659398 · outbound

This paper cites Pacific J.

Singular periodic solutions to a critical equation in the Heisenberg group Pacific J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.475988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c42abc4a-7431-4717-91d5-49b9c56ca3a5 · outbound

This paper cites Second edition., Graduate Texts in Mathematics, 249.

Singular periodic solutions to a critical equation in the Heisenberg group Second edition., Graduate Texts in Mathematics, 249

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.435573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6375538e-6ea3-41cf-8cb9-a463a8c40c58 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.392234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c1ed40a7-ad71-434a-b62a-31f4aacb505f · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.357546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4517cc39-2338-4acb-a860-4a311230909a · outbound

This paper cites Differential Geom.

Singular periodic solutions to a critical equation in the Heisenberg group Differential Geom

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.318131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b1bc5c1-cc39-4307-9e1a-8db3fb0bd055 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.282739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2433445-7115-4793-a0aa-a9a15bba1205 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.238851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 099ec2a9-b3c6-4e3e-a197-76fadd5bf65f · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.208774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3711b00d-55c6-4bc4-87fd-09375cc50634 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.186024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b6eee335-e8df-47dd-846f-e3ac95026478 · outbound

This paper cites Duke Math.

Singular periodic solutions to a critical equation in the Heisenberg group Duke Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.153005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a8aebadd-c3e9-407c-b658-9f682168956b · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.110547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 52db2be2-3d9a-49f4-938e-c500e1453a12 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:22.079504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 94b5facd-e0a5-4b7d-a40e-82b6d4240ce3 · outbound

This paper cites The principle of symmetric criticality.

Singular periodic solutions to a critical equation in the Heisenberg group The principle of symmetric criticality

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.043543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b2603400-8af1-4406-a464-9262b3f31f86 · outbound

This paper cites Struwe, Variational Methods, Ergeb.

Singular periodic solutions to a critical equation in the Heisenberg group Struwe, Variational Methods, Ergeb

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:01:22.011234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2cab4e9-a831-4f6d-a08d-5d6df34e3b59 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:21.976118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8803d3fd-7b59-464a-97b7-cb08f23b1408 · outbound

This paper cites an unresolved cited work.

Singular periodic solutions to a critical equation in the Heisenberg group Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:01:21.941744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.