Paper Citation Record · LEDGER

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.23934.

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

pith.paper-citation-record.v1
2505.23934 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:54:10.041794Z

measured 37 of 37 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

37 of 37 outbound references displayed

verified exact1
verified fuzzy23
unresolved12
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a1e233f-39a6-4de0-a553-c574ad526fa5 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:17.430222Z

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 4d41a54b-0886-4abb-bc7c-59762228a94f · outbound

This paper cites Bomfim and V.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Bomfim and V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:17.247265Z

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 f5c4a44c-b92c-4386-8815-cc6d2f8aca9b · outbound

This paper cites Bomfim, A.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Bomfim, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:17.062921Z

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 c4cc2227-f8af-4497-8209-badd0ccaaef3 · outbound

This paper cites Bomfim and A.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Bomfim and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:16.901809Z

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 fdd9e4b2-fe98-4b3b-b7b1-66508730db7d · outbound

This paper cites Bomfim and A.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Bomfim and A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:16.709523Z

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 4652e766-c06d-4771-a85f-2e5b5c0da1a7 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:16.526087Z

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 67257311-0507-463b-8ce2-68ac60fc70c3 · outbound

This paper cites Bowen and D.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Bowen and D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:16.329270Z

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 48635e0c-11ca-41fe-b2d5-8749f8f287f4 · outbound

This paper cites Campbell and Y.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Campbell and Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:16.131494Z

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 e7bd2ad7-d108-433d-b4ea-f869d22865a6 · outbound

This paper cites Coronel and J.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Coronel and J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:15.953497Z

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 f891e20c-4375-43eb-8cac-e7c926f26796 · outbound

This paper cites Coronel and J.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Coronel and J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:15.723104Z

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 20b3158e-f64c-44fc-8cce-516dacbc2e82 · outbound

This paper cites Coronel and J.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Coronel and J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:15.545565Z

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 3144b82a-d22c-4309-b008-000c47acd0d9 · outbound

This paper cites Coronel and J.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Coronel and J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:15.341825Z

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 0bea24af-ba32-4942-a300-9f809ad31d28 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:15.080412Z

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 ce0c7d8b-a0ad-4316-9bce-7440b8678efe · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:14.921764Z

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 0ed7bcb9-9515-44e9-bafe-907fa101b415 · outbound

This paper cites Eizenberg, Y.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Eizenberg, Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:14.714355Z

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 236058ef-8e1c-445c-9710-317726a73414 · outbound

This paper cites Gouezel and C.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Gouezel and C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:14.534123Z

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 8d52493c-01f2-45cf-87e8-5863d02ab168 · outbound

This paper cites Iommi, F.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Iommi, F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:14.290370Z

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 095bc067-8504-4584-9268-71b061d5514f · outbound

This paper cites Jordan and M.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Jordan and M

Reference 18

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T12:54:14.053301Z

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 5b90c8e4-cf24-4458-8fe1-52bd0612151c · outbound

This paper cites Kloeckner.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Kloeckner

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:13.867224Z

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 f7ddc0b8-5306-4c64-8b0a-2f2ce30e76aa · outbound

This paper cites Kucherenko, A.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Kucherenko, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:13.711384Z

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 2c86455d-b6e6-47ad-bf6a-0dc415a5bbac · outbound

This paper cites Kucherenko and A.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Kucherenko and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:13.534561Z

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 c194f8c8-092f-4e6f-b115-60d00710778d · outbound

This paper cites Lin and X.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Lin and X

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:13.330501Z

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 79df28a1-fcd4-46b4-8c3c-b2e7e9bdb15e · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:13.166349Z

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 1e241179-fbc1-4269-a5f4-b1c8a0ead1ed · outbound

This paper cites Oliveira and M.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Oliveira and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:13.009319Z

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 8353be24-6118-4935-897c-68500635cccb · outbound

This paper cites Pfister and W.G.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Pfister and W.G

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:12.818789Z

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 c5f95bad-9beb-4aeb-b324-e626db04568c · outbound

This paper cites Pinheiro.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Pinheiro

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:12.349258Z

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 ffb883e9-88e0-4b9a-a3cc-db6dcacffd6a · outbound

This paper cites Thermodynamic formalism for expanding measures.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Thermodynamic formalism for expanding measures

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:54:10.215388Z

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 74d9bf3c-4849-4e55-a004-45b4e951cb42 · outbound

This paper cites Prellberg and J.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Prellberg and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:12.089100Z

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 07294119-2bfe-4d67-9a32-7d3c18802132 · outbound

This paper cites Przytycki and M.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Przytycki and M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:11.911831Z

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 b2b54a81-e692-41e1-bdfa-5c691ad7a633 · outbound

This paper cites Qian, J.-S.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Qian, J.-S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:54:11.757873Z

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 3e8079ae-5637-4149-a9a4-ffb4d16f1400 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:11.519337Z

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 4153166c-f56c-456b-8f9d-73b0dabd16db · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:11.347091Z

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 df5fb73f-d809-4256-9494-567976bb9402 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:11.131692Z

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 63088ab8-e2fe-42d4-8055-c8ed332c3590 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:10.968031Z

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 eea7811f-3670-4244-b36c-278d3c356edd · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:10.785830Z

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 3a1f01f3-4797-4bbb-96d0-0b68c3f84194 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:10.574950Z

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 671b1f2a-31c8-4b12-b862-194ccdf8d116 · outbound

This paper cites an unresolved cited work.

Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:54:10.380146Z

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.