Paper Citation Record · LEDGER

Topology of singular foliations of closed 1-forms on orbifolds

As of 10 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2507.09644.

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

pith.paper-citation-record.v1
2507.09644 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T05:08:56.551145Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

41 of 41 outbound references displayed

verified exact2
verified fuzzy30
unresolved9
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4c7bf0d-1ba7-455e-939f-3b20f7bb3016 · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.757352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8499e514-fe43-491f-9e8f-5e5d6edc9750 · outbound

This paper cites Behrend: Cohomology of stacks , Intersection theory and moduli, ICTP Lect.

Topology of singular foliations of closed 1-forms on orbifolds Behrend: Cohomology of stacks , Intersection theory and moduli, ICTP Lect

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.784095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 929e7b86-cc24-4465-911b-bd76dff7f01f · outbound

This paper cites Behrend, P.

Topology of singular foliations of closed 1-forms on orbifolds Behrend, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.790992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 06773018-c3b4-4054-9e50-3e9c3220ac3b · outbound

This paper cites B´ erard-Bergery, J.

Topology of singular foliations of closed 1-forms on orbifolds B´ erard-Bergery, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.787514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 51978874-51d2-4a11-90f3-15519975e50a · outbound

This paper cites Borzellino, V.

Topology of singular foliations of closed 1-forms on orbifolds Borzellino, V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.770548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a97f34d8-55e6-4ae2-8a90-6d33827900e3 · outbound

This paper cites Bott: Nondegenerate critical manifolds, Ann.

Topology of singular foliations of closed 1-forms on orbifolds Bott: Nondegenerate critical manifolds, Ann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.760526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation de82c69b-29a3-4d1b-be93-f62828cd1b88 · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.780849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2b887ea1-a810-4e68-94cb-162d345114a0 · outbound

This paper cites Calabi: An intrinsic characterization of harmonic 1-forms , Global Analysis, Papers in Honor of K.Kodaira, (D.C.Spencer and S.Iyanaga, ed.), (1969), 101–117.

Topology of singular foliations of closed 1-forms on orbifolds Calabi: An intrinsic characterization of harmonic 1-forms , Global Analysis, Papers in Honor of K.Kodaira, (D.C.Spencer and S.Iyanaga, ed.), (1969), 101–117

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.774162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c47464c2-fde6-45bb-8e0e-4bf39cfa0853 · outbound

This paper cites Introduction to orbifolds.

Topology of singular foliations of closed 1-forms on orbifolds Introduction to orbifolds

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:12:05.307082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 67a1edb6-e57c-4030-809e-e62e9e5497b8 · outbound

This paper cites Chiang: Harmonic maps of V -manifolds, Ann.

Topology of singular foliations of closed 1-forms on orbifolds Chiang: Harmonic maps of V -manifolds, Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.767347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a05add02-5fba-47f3-b118-d787c41d77f8 · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.754052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1306e2c1-0cec-46fb-8b6d-7ff3b550b3ca · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.777499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 685f3e03-33d9-4797-8932-a89e46b65105 · outbound

This paper cites Choi: Geometric structures on 2-orbifolds: Exploration of discrete symmetry , MSJ Memoirs, 27 Mathematical Society of Japan, Tokyo, (2012).

Topology of singular foliations of closed 1-forms on orbifolds Choi: Geometric structures on 2-orbifolds: Exploration of discrete symmetry , MSJ Memoirs, 27 Mathematical Society of Japan, Tokyo, (2012)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.763906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8a33cbca-0da1-4a95-bc97-8d1ed26079c2 · outbound

This paper cites Corrigan: Morse inequalities for orbifold Borel homology , Topology Appl., 286 (2020), 107414, 23.

Topology of singular foliations of closed 1-forms on orbifolds Corrigan: Morse inequalities for orbifold Borel homology , Topology Appl., 286 (2020), 107414, 23

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.740449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 85c93caf-46c3-44d7-ba69-ee1ff51a388c · outbound

This paper cites Crainic, J.

Topology of singular foliations of closed 1-forms on orbifolds Crainic, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.743695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 36e579cb-830a-4c88-ae9c-cce9c7d40300 · outbound

This paper cites Poisson Manifolds of Compact Types with an Appendix by Joshua Mundinger.

Topology of singular foliations of closed 1-forms on orbifolds Poisson Manifolds of Compact Types with an Appendix by Joshua Mundinger

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-21T02:21:17.522999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 64b1cb44-67f9-4517-a993-33b238298987 · outbound

This paper cites del Hoyo: Lie groupoids and their orbispaces , Port.

Topology of singular foliations of closed 1-forms on orbifolds del Hoyo: Lie groupoids and their orbispaces , Port

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.746882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 97f436e0-f657-4896-9a67-07b302da241e · outbound

This paper cites del Hoyo, R.

Topology of singular foliations of closed 1-forms on orbifolds del Hoyo, R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.729294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 62b63106-feba-4d57-a1a1-cf68411ba18d · outbound

This paper cites del Hoyo, R.

Topology of singular foliations of closed 1-forms on orbifolds del Hoyo, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.719142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 49b9f9c6-f310-4c1a-b651-756ebdc25921 · outbound

This paper cites del Hoyo, C.

Topology of singular foliations of closed 1-forms on orbifolds del Hoyo, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.712782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 76bfdca3-c428-4959-bb63-e90d185415d5 · outbound

This paper cites Farber, G.

Topology of singular foliations of closed 1-forms on orbifolds Farber, G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.722391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 07a96177-7c7f-4bdd-8688-0462602d282d · outbound

This paper cites Farber: Topology of closed one-forms, Mathematical Surveys and Monographs, American Mathe- matical Society, Providence, RI, (2004).

Topology of singular foliations of closed 1-forms on orbifolds Farber: Topology of closed one-forms, Mathematical Surveys and Monographs, American Mathe- matical Society, Providence, RI, (2004)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.725918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fa93d38e-ed6d-4cb4-985d-3345e4988fa3 · outbound

This paper cites Farsi, E.

Topology of singular foliations of closed 1-forms on orbifolds Farsi, E

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.732781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f39c5e64-6bce-4b58-a204-bc4208717228 · outbound

This paper cites Goresky, R.

Topology of singular foliations of closed 1-forms on orbifolds Goresky, R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.716223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 151a87dc-de97-4037-b1f3-88cddf4a8f58 · outbound

This paper cites Haefliger: Vari´ et´ es feuillet´ ees, Ann.

Topology of singular foliations of closed 1-forms on orbifolds Haefliger: Vari´ et´ es feuillet´ ees, Ann

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.672450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation de128333-dfb5-4ce6-8115-10cfad46af71 · outbound

This paper cites Hepworth: Morse inequalities for orbifold cohomology , Algebr.

Topology of singular foliations of closed 1-forms on orbifolds Hepworth: Morse inequalities for orbifold cohomology , Algebr

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.696942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e89fadc9-9ee3-496c-9cef-c216da44fe8d · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.699507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 01066ca2-317c-455f-8c83-beab7f907535 · outbound

This paper cites Honda: A note on Morse theory of harmonic 1-forms, Topology, 38 (1999) n.

Topology of singular foliations of closed 1-forms on orbifolds Honda: A note on Morse theory of harmonic 1-forms, Topology, 38 (1999) n

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.693731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 90d7c677-5677-4c32-b38f-f3cafc752b56 · outbound

This paper cites Kleiner, J.

Topology of singular foliations of closed 1-forms on orbifolds Kleiner, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.669150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8472ab48-25ed-453b-b04b-b86304a2f08f · outbound

This paper cites Lerman, S.

Topology of singular foliations of closed 1-forms on orbifolds Lerman, S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.690128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cf4263db-5731-460d-a2ed-9889f8c9d767 · outbound

This paper cites Lerman: Orbifolds as stacks? , Enseign.

Topology of singular foliations of closed 1-forms on orbifolds Lerman: Orbifolds as stacks? , Enseign

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.675859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3bc22d0d-279e-4d7d-87eb-a8fb4213903a · outbound

This paper cites Moerdijk, J.

Topology of singular foliations of closed 1-forms on orbifolds Moerdijk, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.686398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d58b4e5c-89c8-4340-afcd-9bda7c2a1b1b · outbound

This paper cites Moerdijk, J.

Topology of singular foliations of closed 1-forms on orbifolds Moerdijk, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.682925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4fba2b52-f99e-4cd4-8560-15091bb36b14 · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.662676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 15099e80-1f66-4e47-98e4-986b2e73d490 · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.665770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f88f2bfc-631e-4a3a-9d5f-ac710e9b7166 · outbound

This paper cites Ortiz, F.

Topology of singular foliations of closed 1-forms on orbifolds Ortiz, F

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.679346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e385a09b-a87a-44ab-8948-9cf24f3f17b1 · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.702334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a8bd39e8-5edb-4623-a01c-ff391e4dc9ad · outbound

This paper cites an unresolved cited work.

Topology of singular foliations of closed 1-forms on orbifolds Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-05-19T05:12:59.705675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9eb8f0f3-7782-4e80-a341-f1ded3919fbd · outbound

This paper cites Valencia: Novikov type inequalities for orbifolds , Math.

Topology of singular foliations of closed 1-forms on orbifolds Valencia: Novikov type inequalities for orbifolds , Math

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.709338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d8897bba-2e1c-4435-ae69-4272f870e671 · outbound

This paper cites Watson: Manifold maps commuting with the Laplacian , J.

Topology of singular foliations of closed 1-forms on orbifolds Watson: Manifold maps commuting with the Laplacian , J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.736449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a17d3c28-21b4-4df8-ba28-bc7db1fce0c8 · outbound

This paper cites Watts: The Orbit Space and Basic Forms of a Proper Lie Groupoid.

Topology of singular foliations of closed 1-forms on orbifolds Watts: The Orbit Space and Basic Forms of a Proper Lie Groupoid

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T05:12:59.750652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

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