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Paper Citation Record · LEDGER

An integral formula for a pair of singular distributions

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.07261.

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

pith.paper-citation-record.v1
1908.07261 v3

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:32:20.648369Z

measured 17 of 17 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

17 of 17 outbound references displayed

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  • verified fuzzy17
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf807786-5cfa-40dc-a1cd-bc9c58731882 · outbound

This paper cites Alexandrino et al.

An integral formula for a pair of singular distributions Alexandrino et al

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.810532Z

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=2026-08-14T12:32:20.604690Z digest=sha256:248b96236ccbdccb6b552461a4fcc9932d507f5e05d54e7f1e889ba6af4abf77

Observation a4a07620-990a-4500-8cbf-5c03bec34fa3 · outbound

This paper cites Andrzejewski, V.

An integral formula for a pair of singular distributions Andrzejewski, V

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.802144Z

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=2026-08-14T12:32:20.608458Z digest=sha256:47ba286f0a12f6b7416320e1f8ddcc5f704d8190d0ad6f279c29c06976ee55c1

Observation a96abdd6-81a6-439b-9b7a-1a75af7e2a64 · outbound

This paper cites Bejancu and H.

An integral formula for a pair of singular distributions Bejancu and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.793796Z

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=2026-08-14T12:32:20.611542Z digest=sha256:b299b362972b3a6f05daad3ce3512de420a8f8f22841c874469ec99a30620529

Observation 2fab3c38-b28c-45d6-aecb-41187680b028 · outbound

This paper cites Blair, Riemannian geometry of contact and symplectic manifolds , Springer, 2010.

An integral formula for a pair of singular distributions Blair, Riemannian geometry of contact and symplectic manifolds , Springer, 2010

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.785304Z

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=2026-08-14T12:32:20.614254Z digest=sha256:66429000169ebe4d8127ea5c90819479db640d2ae60536b7a23175d92bbfe43a

Observation 63285b2c-4290-4f8a-b112-415f8445fe54 · outbound

This paper cites Bullo, A.D.

An integral formula for a pair of singular distributions Bullo, A.D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.776804Z

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=2026-08-14T12:32:20.617129Z digest=sha256:b8b5aac7eabbabcdfd9e10c6341a521ec8832dba9dd8d5200641acc15c08933c

Observation 659cca27-ad4c-4073-85e1-5abd86f9db13 · outbound

This paper cites Caminha, P.

An integral formula for a pair of singular distributions Caminha, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.768536Z

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=2026-08-14T12:32:20.619776Z digest=sha256:743ca94cd4ffe5cc5c808df660d1479107d9eeb68995e7fae5663d56b5714a11

Observation 8bf1884a-cf43-4d83-bd84-439a16bda200 · outbound

This paper cites Drager, J.M.

An integral formula for a pair of singular distributions Drager, J.M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.759756Z

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=2026-08-14T12:32:20.622553Z digest=sha256:53a87d0bb4f2ba1415566184ebd160abb890efa6b7074edd6db1408325420630

Observation c4d64669-acd4-4417-b628-9bfc0e5bb953 · outbound

This paper cites Goldberg and K.

An integral formula for a pair of singular distributions Goldberg and K

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.751353Z

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=2026-08-14T12:32:20.624985Z digest=sha256:753fe95cb0ba738bb7b68027cd2e8cff791cf7209b7b27b9dc44c68270622f70

Observation 276b9af9-517c-4205-aeba-ca70e38e8785 · outbound

This paper cites Greub, S.

An integral formula for a pair of singular distributions Greub, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.742799Z

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=2026-08-14T12:32:20.627337Z digest=sha256:6b3d875f2b1a84e758a5cfe5b5519555b5442998bc4dde42add76292c9f1f60b

Observation dd2356cd-d6e8-4d6e-b142-71ed57cdb046 · outbound

This paper cites Isidori, Nonlinear Control Systems , 3-rd ed., Springer Verlag, New York, 1995.

An integral formula for a pair of singular distributions Isidori, Nonlinear Control Systems , 3-rd ed., Springer Verlag, New York, 1995

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.735058Z

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=2026-08-14T12:32:20.629707Z digest=sha256:73da661ea41554f908799ca26ee027242d353e66cdbd9225f4c84554a6c35824

Observation 9af58397-0248-41aa-b8dd-12722c543cef · outbound

This paper cites Molino, Riemannian foliations.

An integral formula for a pair of singular distributions Molino, Riemannian foliations

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.727062Z

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=2026-08-14T12:32:20.632095Z digest=sha256:ee5bc806f9211e8648065841cd81819235467195070295daec4e2108bb2f6ab0

Observation ce84b71c-cea2-4132-9526-f27b9f2f7d83 · outbound

This paper cites Popescu and M.

An integral formula for a pair of singular distributions Popescu and M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.717308Z

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=2026-08-14T12:32:20.634448Z digest=sha256:ad8a749eb9b8b976a110d971e8e196e702e4c5eaf86fe5d29e94f4c0d45107db

Observation 242389e7-b9b3-475b-947a-d0ba1eed69d6 · outbound

This paper cites Popescu and M.

An integral formula for a pair of singular distributions Popescu and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.708075Z

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=2026-08-14T12:32:20.637233Z digest=sha256:48a3ca01bd30e039ed67b0f274a32c81f313618cab6455fbd8dbc4968ad0bcd1

Observation 1813a0de-f762-4b31-86a3-a33864be1c26 · outbound

This paper cites Rovenski, Foliations on Riemannian Manifolds and Submanifolds , Birkh¨ auser, 1998.

An integral formula for a pair of singular distributions Rovenski, Foliations on Riemannian Manifolds and Submanifolds , Birkh¨ auser, 1998

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.699278Z

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=2026-08-14T12:32:20.640085Z digest=sha256:fee5612ae05eb2579a343f04fc3a4a998c8b9c05f486fec63344471b6fd208d9

Observation cb3decba-096f-47b0-904a-917539cadb42 · outbound

This paper cites Stepanov, Liouvile-type theorems for some classes of comp lete Riemannian almost product manifolds and for special mappings of complete Riemannian m anifolds, J.

An integral formula for a pair of singular distributions Stepanov, Liouvile-type theorems for some classes of comp lete Riemannian almost product manifolds and for special mappings of complete Riemannian m anifolds, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.689812Z

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=2026-08-14T12:32:20.642806Z digest=sha256:968419c8a8694da12ac50f19c8b84cba7bd0b8529f3e772ac960ee77dca95dfb

Observation f625617d-06fa-4819-b979-50c21d0a14a6 · outbound

This paper cites Walczak, An integral formula for a Riemannian manifold with tw o orthogonal complementary distributions, Colloq.

An integral formula for a pair of singular distributions Walczak, An integral formula for a Riemannian manifold with tw o orthogonal complementary distributions, Colloq

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.680483Z

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=2026-08-14T12:32:20.645562Z digest=sha256:0382b7af7a7547f736c749c2a818c9b259afb3d560eb8ee77cf71097ef22ae56

Observation 89e36b05-ee21-468b-ba24-090e3928fc3b · outbound

This paper cites Yau, Some function-theoretic properties of complete Riem annian manifolds and their applications to geometry.

An integral formula for a pair of singular distributions Yau, Some function-theoretic properties of complete Riem annian manifolds and their applications to geometry

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:32:20.671308Z

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=2026-08-14T12:32:20.648369Z digest=sha256:d6d05b1afb87abe6672d013f1b96570f71d5e5af6677e3ccbf46b4ab3d8bddac

Pith citing papers

No inbound Pith citation observations are available.