Paper Citation Record · LEDGER

Invariant distances on spaces of Legendrians

As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.18724.

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

pith.paper-citation-record.v1
2507.18724 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:28:34.243755Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

35 of 35 outbound references displayed

verified exact1
verified fuzzy13
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 42599e47-6271-4675-91f6-7799d516b925 · outbound

This paper cites Symplectic Geom.16 (2018), no.

Invariant distances on spaces of Legendrians Symplectic Geom.16 (2018), no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:35.260275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f5ec0605-4818-44f5-afce-b5aa50ab857e · outbound

This paper cites 0, 2550071.

Invariant distances on spaces of Legendrians 0, 2550071

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:35.246356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3bc7308e-6849-4034-add7-9074f54ee5a3 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.236189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0ab886bb-f3d8-49d0-a3ca-49487f0ce9f0 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.224271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c6f8e83c-9618-4555-a377-86161153b8fe · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.213357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1de55f3b-e89c-4a38-908b-4db5083a14d8 · outbound

This paper cites Math.25 (2001), no.

Invariant distances on spaces of Legendrians Math.25 (2001), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:35.201568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c5ba30e3-7bdd-4b85-9743-f69065b7130c · outbound

This paper cites 4, 631–691, Submitted August 18, 2020; Published January 19, 2022.

Invariant distances on spaces of Legendrians 4, 631–691, Submitted August 18, 2020; Published January 19, 2022

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:35.064223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8a3866ac-8d42-41ff-b548-1cd8a8a663d1 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.045560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 096671a2-2b07-4e8a-8a00-f1b17e296ca5 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.035331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 93a29874-fa9b-4e58-b578-8d00846933e5 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.024978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1e84b9af-13f4-476f-ad66-eb7e744f8513 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.014736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1dddc66f-9e6d-464a-9ec3-b8b7a590cf55 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:35.004276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9c1dd88b-3016-4c44-badc-78663a39135e · outbound

This paper cites Symplectic Geom.14 (2016), no.

Invariant distances on spaces of Legendrians Symplectic Geom.14 (2016), no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.993617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4e439df9-a8e4-4ac0-9e4c-8fde99a028ce · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.983469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7b9fc5d0-1546-4c45-b626-9806b7d00e82 · outbound

This paper cites Contactomorphism groups and Legendrian flexibility.

Invariant distances on spaces of Legendrians Contactomorphism groups and Legendrian flexibility

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T18:28:34.090075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5d8ed27-060d-408b-b21e-5c7d326679f9 · outbound

This paper cites Topol.10 (2006), 1635–1747.

Invariant distances on spaces of Legendrians Topol.10 (2006), 1635–1747

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.809108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 84868976-49a9-4d0a-b82a-80252c6a255d · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.719300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 968a5f9a-f93f-4329-8dac-c7f8a94f0b53 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.708285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation db0950db-e7b2-4e9b-a685-0b29396069bb · outbound

This paper cites 3-4, 771–795.

Invariant distances on spaces of Legendrians 3-4, 771–795

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.696766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5d58ec82-54ab-431a-bf49-8b87997c8352 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.685748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cc4a0355-a2ac-4ee7-8094-876b25d46b4d · outbound

This paper cites Hirsch, Differential topology, Graduate Texts in Mathematics, vol.

Invariant distances on spaces of Legendrians Hirsch, Differential topology, Graduate Texts in Mathematics, vol

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.675441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation be6d57f0-0806-421b-9eec-30df3f2c79ee · outbound

This paper cites 3, 373–404 (en).

Invariant distances on spaces of Legendrians 3, 373–404 (en)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.665424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 166aa8c9-7e8c-4f33-a262-8407aa52baba · outbound

This paper cites Lee,Introduction to Topological Manifolds, 1 ed., Graduate Texts in Mathematics, vol.

Invariant distances on spaces of Legendrians Lee,Introduction to Topological Manifolds, 1 ed., Graduate Texts in Mathematics, vol

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.655069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation afed62d5-b4d8-4b7e-9c36-f0154f23eac2 · outbound

This paper cites Sb.) 104 (1977), no.

Invariant distances on spaces of Legendrians Sb.) 104 (1977), no

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.643328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f3911613-3fbc-4704-8b47-5bea0bf3cdc8 · outbound

This paper cites A new metric on the contactomorphism group of orderable contact manifolds.

Invariant distances on spaces of Legendrians A new metric on the contactomorphism group of orderable contact manifolds

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:28:34.316068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e75eaaa-0a7c-443a-9762-7640b926411a · outbound

This paper cites 05, 803–811.

Invariant distances on spaces of Legendrians 05, 803–811

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.632273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1b6937db-0bd3-4bec-84c8-5221ffa814e4 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.591499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8ab7d36-82f8-4b26-871a-c955389d12b8 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.504143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6ebac52-9e55-4e72-b629-5372d89c0420 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.485694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 205eede1-5da5-4fa1-8341-305f4a981527 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.473439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a37d940-ffb7-47a1-9592-e57bb3617c18 · outbound

This paper cites Symplectic Geom.

Invariant distances on spaces of Legendrians Symplectic Geom

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:28:34.460519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 749e2944-e801-46a9-a50e-bea2008cbf6b · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.449330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8e3c2b13-71ca-4dcf-b428-dca7d1984d26 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.437044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e2c35972-3439-4afe-bcdf-490389a566af · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.424480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d3f07344-9db1-40a3-8511-52e0e6f06c72 · outbound

This paper cites an unresolved cited work.

Invariant distances on spaces of Legendrians Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:28:34.411956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.