Pith. sign in

Paper Citation Record · LEDGER

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.07624.

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

pith.paper-citation-record.v1
1908.07624 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:21:45.990503Z

measured 32 of 32 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

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved27
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bbe7656e-5b8c-4341-a249-d46adcb03e2a · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.299270Z

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=2026-08-14T12:21:45.889676Z digest=sha256:9a3b85bd9464bc6aa3306579ae8fbcd1b302ed7e5b4b01f1169e119d98feb019

Observation 94efe446-b112-4b7f-8867-c874561243b9 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.289971Z

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=2026-08-14T12:21:45.893759Z digest=sha256:c7b51862463abe5285679f5748cf407453323d1b7f6c0bd64d9af89394c24c34

Observation f2e07eb3-3e0f-475c-aff0-52979f773948 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.280187Z

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=2026-08-14T12:21:45.897018Z digest=sha256:956477baafc728252f89e793b1aade2a24d8f15669bfa662c414ea6ba7d2a856

Observation bac56817-ad4f-4a49-82d4-ab90a2cca310 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.271137Z

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=2026-08-14T12:21:45.901273Z digest=sha256:d3dbc9c32f198ffb4c89058359846456ae8176d5ea1c91f12c15fb685f3723ea

Observation 4b3a6520-6e30-4fd2-976a-cadd5b786982 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.262968Z

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=2026-08-14T12:21:45.905520Z digest=sha256:f0c9c4eb0f6861e6d30609517340038eb1b33c83688955935a0d98251a233012

Observation e67ddc6c-9c40-404f-94c3-50e536da281a · outbound

This paper cites LUSIN APPROXIMATION IN THE HEISENBERG GROUP 21.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group LUSIN APPROXIMATION IN THE HEISENBERG GROUP 21

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:21:46.254233Z

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=2026-08-14T12:21:45.909185Z digest=sha256:bfe77347b299a443ae0d1d1de82968752cf0f7e8c3b0dafd9e2f86ff4ed64ecd

Observation 69935cd8-ba71-4f13-b8e5-2f66e17ea099 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.245613Z

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=2026-08-14T12:21:45.912777Z digest=sha256:82c60080e591bfdb4ab75a93417bc87b75c8f17696f5dd2a32882e7c58b2c784

Observation c503c590-7493-4b87-abf2-3e968d40a72e · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.237631Z

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=2026-08-14T12:21:45.915871Z digest=sha256:2400f6c297e18fc7a64558448a67ecf4b4e971e85e7f579a19915398373fc033

Observation 84f8b9c6-0ad0-4123-b5c8-329f79bcc3a1 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.229275Z

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=2026-08-14T12:21:45.918948Z digest=sha256:5667922a3bcbf4dfaa81d50d0bdeb0ec9d735aaabd47af023f1c8f6efb280716

Observation 7424ec72-22cc-422c-aa84-2cb0c1f5b386 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.220959Z

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=2026-08-14T12:21:45.922088Z digest=sha256:6c3e233734d49a8e0d99710743bf542e4adc6f31895bfc2ab3fb89c1fad22ec9

Observation b40f9ac7-cc06-4e32-ae1c-062ea473bb76 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.211946Z

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=2026-08-14T12:21:45.925422Z digest=sha256:da06ddd4b4b10da351568c0b3770371fdf1a82edce6ba8aeab0c15fa2e05bdfb

Observation 03a9d73d-efbc-4391-8ecf-6146a2adb4d7 · outbound

This paper cites Bul- letin of the American Mathematical Society (N.S.) 46(2) (2009), 207 –220.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Bul- letin of the American Mathematical Society (N.S.) 46(2) (2009), 207 –220

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:21:46.203216Z

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=2026-08-14T12:21:45.928030Z digest=sha256:dc73ae146069925852e649d1e7245676c1869be7b6de3cbe19b4209554b4cfb6

Observation d701f61d-0587-4bca-bc83-6aeae19bedd1 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.193585Z

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=2026-08-14T12:21:45.930572Z digest=sha256:61f6ad9f5c40144c98dfce9e45f20c7dbd82dcb6c38ebc2367946dea319b1367

Observation bcd3ed13-80ef-4e92-b56b-9ca04a295e9e · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.184001Z

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=2026-08-14T12:21:45.933199Z digest=sha256:f12a01e5d3b5d8fafb767594ce3501d83b06987246d252f1e34136ce0104a8f2

Observation 66e23215-a39c-44b5-8da3-210087aaef4d · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.174892Z

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=2026-08-14T12:21:45.935919Z digest=sha256:0a7c98bee10747e79b521af4714cca4c0fa66259d7241687879d7d1d1232fb0e

Observation 73967703-af7e-4b50-9d30-9fb804ad3558 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.165044Z

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=2026-08-14T12:21:45.939536Z digest=sha256:9b9168739695b091ccfc5668fbf7e074145af7432cf8f1d9d00bd34466c6160d

Observation 14b42c4a-f8d0-46b2-8849-d26eeec01738 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.156470Z

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=2026-08-14T12:21:45.943455Z digest=sha256:bd3c2fb70ebc6c666df9dc4dd312d71bbefe71652edc88ad180a68d4b88a8b50

Observation dbceda39-159d-4419-9068-935f5666fd48 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.148845Z

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=2026-08-14T12:21:45.946596Z digest=sha256:0e8180bc29b409497fd7049afbd7f67b9166d07760f04ea8cc12d45eff1ef5a3

Observation 2a8b8c78-a9f9-4408-b5ef-c2d1a61c9166 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.139881Z

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=2026-08-14T12:21:45.949680Z digest=sha256:abcd60bb3fc172f979487898d284cbbbef88ba243c305dfcc9423ba03db70d59

Observation c8c6d424-6f34-45c1-8570-873d47b7d6b1 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.130729Z

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=2026-08-14T12:21:45.953298Z digest=sha256:f515bae6a14fcd53c0cc7d8eb8142470fa2bc10c24fe16e851255256c77823b6

Observation 3fb503b3-c23d-44ef-b920-c843dbd41854 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.120766Z

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=2026-08-14T12:21:45.956458Z digest=sha256:b37d55194b1724ed6d56e4e8d187bc832a85d0c89910cf3f424f444f3fb24ae1

Observation f5c273ce-5ac4-4747-9f0a-44747524a453 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.111436Z

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=2026-08-14T12:21:45.959640Z digest=sha256:7ca05edb14cdd8c757f5aa903d3ec3aa8dfef2822f033003bf9907a2a1677acd

Observation 98acadf7-9bfd-4556-ae87-48aa7b35d621 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.102229Z

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=2026-08-14T12:21:45.962639Z digest=sha256:7c3679ad9bcd501af2a54fa1b750b942ad457400a5c9f4afaf7390737fa17408

Observation 0dea8856-4e87-411f-839e-f5d5f02e594b · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.093568Z

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=2026-08-14T12:21:45.965584Z digest=sha256:d6cbac6b5c6541c3aaa291b2f79a7b4b542ff1f2d05b0ca64b48461c7e3403d8

Observation 4e8d9184-7227-4df0-9d26-454c081955f3 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.084828Z

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=2026-08-14T12:21:45.968500Z digest=sha256:ce27998e85c227e7a043485981e79e5ea51ab5eb458cb11547b57e73baac7770

Observation 876ec183-9ccc-42b4-b6e1-97e14cce0692 · outbound

This paper cites 22 MARCO CAPOLLI, ANDREA PINAMONTI, AND GARETH SPEIGHT.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group 22 MARCO CAPOLLI, ANDREA PINAMONTI, AND GARETH SPEIGHT

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:21:46.075169Z

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=2026-08-14T12:21:45.971548Z digest=sha256:3ee66ac261b33222b7c234a75a1523e7d049e29a61a0bacb4da284d4e5a42979

Observation f4f5d7b1-cecb-49eb-b42f-f9fef561be4c · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 27

Resolution
malformed identifier
no resolver link, observed 2026-08-14T12:21:45.974589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:21:45.974589Z digest=sha256:cb10d1e3151260f94c1e63f0ac29e8639a57a55f71b8cf93e7cc2e39fbab1e55

Observation dd22e335-4cc5-43a7-ad80-86c3be30283b · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.065207Z

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=2026-08-14T12:21:45.977641Z digest=sha256:0d056c5c9ce0a89e49ee673c3b4ee04a8e278bb27cd4c4b76f6d5a4b76c4e0de

Observation 7c353087-6a26-4b07-8f99-d3c6337ff5a5 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.055051Z

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=2026-08-14T12:21:45.981077Z digest=sha256:fadd366b8a42739c41f01a485ad6ea742b5961521169e9e09240b9ca087033de

Observation 328780a0-1994-4bd3-9cc6-9812eef3f28a · outbound

This paper cites K., Pupyshev, I.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group K., Pupyshev, I

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:21:46.045201Z

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=2026-08-14T12:21:45.984527Z digest=sha256:cbd10fdb8ed9b8bbb26dfae9fcc2016ed1be034d39b771f261b0c6b8758a755a

Observation d9cc3ced-e56c-4394-96fe-247319aed426 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.036055Z

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=2026-08-14T12:21:45.987649Z digest=sha256:ee2b8e3055e7860c854a226d52cf8d54c4454e3272b1544fc57a0385e5714f74

Observation 90700fe9-7be3-451d-8d66-cc27e0cd5ab6 · outbound

This paper cites an unresolved cited work.

A $C^m$ Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:21:46.025613Z

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=2026-08-14T12:21:45.990503Z digest=sha256:743275309efe9666397bef419293338b2062c58c0053679dd53c78132ecc7f85

Pith citing papers

No inbound Pith citation observations are available.