Paper Citation Record · LEDGER

Dirac spectral flow and Floer theory of hyperbolic three-manifolds

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.07238.

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

pith.paper-citation-record.v1
2506.07238 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:45:59.722560Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy15
unresolved5
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0723407-56e1-444e-a4d7-6c813f581d1c · outbound

This paper cites an unresolved cited work.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:46:00.033465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f1ce47bf-274a-4c24-9c71-7a3706580c3c · outbound

This paper cites Brock and Nathan M.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Brock and Nathan M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:46:00.015644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60571338-f5c6-4936-ac0b-b409f7bb2ec9 · outbound

This paper cites Booker and Andreas Str\"ombergsson.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Booker and Andreas Str\"ombergsson

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.999743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 668d9059-4404-422d-8c6a-e53090448179 · outbound

This paper cites auser Classics. Birkh\.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds auser Classics. Birkh\

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.984034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9d4d0fc1-7854-4373-a9b5-24162900896f · outbound

This paper cites Snappy, a computer program for studying the geometry and topology of 3-manifolds.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Snappy, a computer program for studying the geometry and topology of 3-manifolds

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.969243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b136a29b-17bb-427e-a4a5-b4b492e2107c · outbound

This paper cites Eigenvalues in R iemannian geometry , volume 115 of Pure and Applied Mathematics.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Eigenvalues in R iemannian geometry , volume 115 of Pure and Applied Mathematics

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.953296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a050ee6d-9f43-4092-bdf9-7397414847ad · outbound

This paper cites Computing the twisted l^2 -euler characteristic.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Computing the twisted l^2 -euler characteristic

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.938333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 82d5acbb-c81d-4e9e-acb6-73d436f4ac85 · outbound

This paper cites A census of closed hyperbolic 3-manifolds.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds A census of closed hyperbolic 3-manifolds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.923259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ef043456-73c1-49ce-a005-c51fbe0a74d7 · outbound

This paper cites Perturbation theory for linear operators.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Perturbation theory for linear operators

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T05:45:59.677442Z

Source-reported events for the cited work

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Observation a0c41e80-aff6-45d9-acd6-ac7980dc8028 · outbound

This paper cites Monopoles and three-manifolds , volume 10 of New Mathematical Monographs.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Monopoles and three-manifolds , volume 10 of New Mathematical Monographs

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T05:45:59.681528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f89f14cd-241c-4740-b543-159eb1cafc98 · outbound

This paper cites okova G eometry- T opology C onference 2015 , pages 39--80. G\.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds okova G eometry- T opology C onference 2015 , pages 39--80. G\

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.888555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca9dca39-d7e2-43df-b6e9-1c324c5797a3 · outbound

This paper cites Monopole F loer homology and invariant theta characteristics.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Monopole F loer homology and invariant theta characteristics

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.872864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0b60892e-2386-4fdc-be9e-ca9ef6c7d7de · outbound

This paper cites Topology of the D irac equation on spectrally large three-manifolds.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Topology of the D irac equation on spectrally large three-manifolds

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.856678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44c3639c-df1c-4066-bd7e-b4778d9e332d · outbound

This paper cites Closed geodesics and fr yshov invariants of hyperbolic three-manifolds.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Closed geodesics and fr yshov invariants of hyperbolic three-manifolds

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.842292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 23c6a83e-8055-490c-bd67-9a3a2619b4fa · outbound

This paper cites Monopole F loer homology, eigenform multiplicities, and the S eifert- W eber dodecahedral space.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Monopole F loer homology, eigenform multiplicities, and the S eifert- W eber dodecahedral space

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.828032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b7dd953b-b188-4f86-9e76-7478388956b5 · outbound

This paper cites The S eiberg- W itten equations and the length spectrum of hyperbolic three-manifolds.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds The S eiberg- W itten equations and the length spectrum of hyperbolic three-manifolds

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.813343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c6adc7a-48b1-40ff-b319-9114e5b91d5f · outbound

This paper cites An introduction to G eometric T opology.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds An introduction to G eometric T opology

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.799665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 67d700e6-c8da-4498-aae8-115d59d8aec1 · outbound

This paper cites Elliptic operators, topology and asymptotic methods , volume 395 of Pitman Research Notes in Mathematics Series.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Elliptic operators, topology and asymptotic methods , volume 395 of Pitman Research Notes in Mathematics Series

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T05:45:59.714334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10ad7647-fe7f-43a6-8ca7-c526afb870cc · outbound

This paper cites an unresolved cited work.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:45:59.774644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4c9eff2a-e6dd-415f-b9e2-fee6a291ad0c · outbound

This paper cites A combinatorial formulation for the S eiberg- W itten invariants of 3 -manifolds.

Dirac spectral flow and Floer theory of hyperbolic three-manifolds A combinatorial formulation for the S eiberg- W itten invariants of 3 -manifolds

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:45:59.758947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.