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Paper Citation Record · LEDGER

Singular periodic solutions to a critical equation in the Heisenberg group

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

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

source=arxiv_source observed=2026-08-14T15:01:21.567680Z digest=sha256:e3f76fa0b1128f6132ddc33854686af9a3a7f2da93b970319f5bbb27e1df7b3f

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

source=arxiv_source observed=2026-08-14T15:01:21.579257Z digest=sha256:e4e7202fe662207dd0a1772decb419aad0c90aa59704f99ee11a542f75bdcc16

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

source=arxiv_source observed=2026-08-14T15:01:21.590477Z digest=sha256:cb7b5c6ac6527e3a89b3dfd326107f32e9a15fd60666738d583872c16fe68956

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

source=arxiv_source observed=2026-08-14T15:01:21.603925Z digest=sha256:534533d58843932fdad8c5bbc09968f908d46a44259761fb1348d4c1835c06cd

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

source=arxiv_source observed=2026-08-14T15:01:21.617251Z digest=sha256:46f15cd8823d6f29d742915a4546b2c0c1ca0532ac6b14f994c9e5c07f8948cb

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

source=arxiv_source observed=2026-08-14T15:01:21.630910Z digest=sha256:d27526c2c450d7951420b9f68075a6fd1cad0bd729f3195ab248c501d5a8824e

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

source=arxiv_source observed=2026-08-14T15:01:21.645009Z digest=sha256:fdb6a1de3c6bf16de2a365ddd8c2f9672a22f2a0384614e7cccf18c5a29103d0

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

source=arxiv_source observed=2026-08-14T15:01:21.655493Z digest=sha256:87eb2787c5e871dfff5093877a88871e6b6918c63da4e5b21011a150343c524e

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

source=arxiv_source observed=2026-08-14T15:01:21.666793Z digest=sha256:dda25536927f803d9202c6f915047d48820afd21c9fe09d15e5eb6667ef91b0c

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

source=arxiv_source observed=2026-08-14T15:01:21.678773Z digest=sha256:c49356b2fa22c4026cd5f8a72ca777206471d4fe056ad453ac74ce23aaa3017f

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

source=arxiv_source observed=2026-08-14T15:01:21.689217Z digest=sha256:3263999801b77e4847cfa6b243cdcabd5eda81085370333191129bbf709a77c6

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

source=arxiv_source observed=2026-08-14T15:01:21.697141Z digest=sha256:2870ddef859660587868219724572371a02c82d5a940074098ea2028545a8b7f

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

source=arxiv_source observed=2026-08-14T15:01:21.711198Z digest=sha256:06a51a74c73d6675971e5e1326d6b97e3122b362cf1d00b8568c61a8a5eafec8

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

source=arxiv_source observed=2026-08-14T15:01:21.729608Z digest=sha256:25b8943b4610ce2f5392c3f09315aff7647d2a43e3aeefb60239e35fdea711f1

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

source=arxiv_source observed=2026-08-14T15:01:21.736010Z digest=sha256:81ca49f762d1998e11373dc9e34bb0c9473d59b544a43c0a107c5d9049fccfde

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

source=arxiv_source observed=2026-08-14T15:01:21.742220Z digest=sha256:0ad96a31d0718cca68dccc0ee457253691640400784da969ce1d08fcc79a6a52

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

source=arxiv_source observed=2026-08-14T15:01:21.752725Z digest=sha256:93e8b3bfbbe5c36748039507ab6bb57c156c1d7b3d478144ebf41d9d3a357f24

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

source=arxiv_source observed=2026-08-14T15:01:21.761012Z digest=sha256:a65187a66043a7de85b8236cf67272cd65bfece27c2115861eba2f7b2cb91ee1

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

source=arxiv_source observed=2026-08-14T15:01:21.767571Z digest=sha256:b449a342e05a58989b358d20a26331487b1dce99a379fb134c3c53c290a70994

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

source=arxiv_source observed=2026-08-14T15:01:21.773787Z digest=sha256:5ce1eab5a5995fe4f7772f33c75b7491b8092d36d2261d89fefdae71d4e0ff27

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

source=arxiv_source observed=2026-08-14T15:01:21.782520Z digest=sha256:76f2d6b1095f72185216820603fbc46b45bf78963b7e6980d37e6db7cdcec35f

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

source=arxiv_source observed=2026-08-14T15:01:21.793961Z digest=sha256:8674641033aac2646a1fac28205952ddc03abbe14d3131e59127088824198845

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

source=arxiv_source observed=2026-08-14T15:01:21.815184Z digest=sha256:486a53a590634dde739a85ee8102a230139b5bdd2783d3368ac6812e7c04701e

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

source=arxiv_source observed=2026-08-14T15:01:21.826528Z digest=sha256:07770cf9316d0aebff5c8156d166450cba91189b3114345a3b86e04e76c157c1

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

source=arxiv_source observed=2026-08-14T15:01:21.838867Z digest=sha256:7a76a1902ad601d737cc3d980d20f47c193c2576f93c7ba94c7c34bb6a2556f0

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

source=arxiv_source observed=2026-08-14T15:01:21.846478Z digest=sha256:3cd8e90e62ee8ed2417ace2965eb32b37c96dd3ac0febbd8304b52ea05fc8f85

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

source=arxiv_source observed=2026-08-14T15:01:21.853145Z digest=sha256:055b0b583833d601255b39205253873c723e608d1f4ffcdd983087462647778d

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

source=arxiv_source observed=2026-08-14T15:01:21.863665Z digest=sha256:7fa190ed4b8428a681377357c46bdfbd28ca90d432e5fc98272f8f1be4309fc6

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

source=arxiv_source observed=2026-08-14T15:01:21.872233Z digest=sha256:32795a6f6bb996f99c819cf394656bf7ca524bfe087d1fa2e3c45826c76648e9

Pith citing papers

No inbound Pith citation observations are available.