Pith. sign in

Paper Citation Record · LEDGER

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

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.889676Z digest=sha256:d4ab455408d9bbd2018dd55e2351116ae29276775fef28bbac5688d2b9d05c6e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.893759Z digest=sha256:a37d6921718ff1ea5c363df0641aa2eec408f17a63ac469370d1c9513778386d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.897018Z digest=sha256:de36cb1fc03619e3ab977c88f9ad96934073cd303b779dde954857511ab5b4ed

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.901273Z digest=sha256:5a0052b7c455209ed04545cf3eb1ef33bf99f6ccaec08dfd82921eaa42e008c2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.905520Z digest=sha256:07ea9a42c91ebbfd550202469c0529c88d211fb8a92e2036e27979a72912c970

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.909185Z digest=sha256:6a4a352330e280af76b6753b9baaacf90b90d6365b9c416fa78a200b44268253

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.912777Z digest=sha256:b08cffd2beb04641f2a30ca08150beff8bc5f96a0744e097c71d2e2bade97fb1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.915871Z digest=sha256:5faa1a1d6013b2402f418dbac9f62bd3b870c6493221c44a168e7d13266ffb73

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.918948Z digest=sha256:efa4b84de68edb0dc750d7a5d9e4cd710cabb14043aa190f7a233efd719ae41d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.922088Z digest=sha256:8ceab043224484aa1440d7b538c4b2df9d4396815d15f95d435eae746ca09dcb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.925422Z digest=sha256:5dbc7992c9a61dbbb99e2e8150430d7883c4f6cb86ae3f172407c7af925cba3f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.928030Z digest=sha256:ff0c7fbeb424dec6d37bb5cb55a74cfbe7ca364cc9345226471cd9a0af288a4d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.930572Z digest=sha256:481ff32cddbc0f55d86a0763baf2d200b4ce5ef10f7b46b61fa85ae914c9fa55

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.933199Z digest=sha256:8a38d51f805a889e2d59cfb0f20656011f6ae3d34734038b3642f2ced6ccd6cc

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.935919Z digest=sha256:1c4323ebb0201e26865115c8c70706fe6f188589ab191b6d4d0574db27a9652e

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.939536Z digest=sha256:2ef6801251e007ef1d8a97ba90c31dffdaa8e90b01ff56086a8cd4a42e0dcdf0

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.943455Z digest=sha256:cd3329b3607e0486fb2d8cb93232c93a326ec62c80ba1d2153e805fd105d5042

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.946596Z digest=sha256:63072d510771c1188b63dc5c73d0b95a2494e657f8749768caf22fedcb11a2f9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.949680Z digest=sha256:bbc1a8520e586014037eb0c44a3af076566fbe01836d32ec733dbe8db354f77f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.953298Z digest=sha256:8670e78af4ca91d12be9f38fe291473a064fba557e0c71b47e66fc275a7aa60d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.956458Z digest=sha256:c75583a114f0d7f5c2ba87c09761af12f7bd102a4da40301b0b861d25d7d236f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.959640Z digest=sha256:8b1bf42e21cd8596c380cb7d68498f2ce4983556b37af2f871141d2cee586014

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.962639Z digest=sha256:fedad0082478439f4b458426ccefff16e46174e6b713625703d3db5133264054

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.965584Z digest=sha256:dc29e4312ba45e6377b56fafc32b71a3410801410bb85f74baadae19cd0d70d9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.968500Z digest=sha256:bbe4d8d8f30d137545417b96ced9bd32699b0253ccae20ca81ba6fa916977239

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.971548Z digest=sha256:1bcb4e01ffd003f4d400fea663d70c5c3869e67b362ffc421786ef0f8c449a65

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.977641Z digest=sha256:c2bdf478edf654959d6d2ca7bda2cfa0b64a378309d72407b5434223e9715ee1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.981077Z digest=sha256:937d35cf54727566afb619ccf0f5dd67731d7be78c9a90b43042328909a51186

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.984527Z digest=sha256:ac280f74c502ba299f3d37101a5f61a27a6a5e0f1b945a35cace27a0deccdd47

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.987649Z digest=sha256:303aaec4a11099d8361da1b5402af82834ea4b17166a46adcc65efb49fc7ebd2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T12:21:45.990503Z digest=sha256:8d5bdeea46d0732871c68746f1bdac1a06df0f35c778a07163b019c548e74705

Pith citing papers

No inbound Pith citation observations are available.