Paper Citation Record · LEDGER

Genus three Goeritz groups of connected sums of two lens spaces

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2411.15471.

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

pith.paper-citation-record.v1
2411.15471 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:27:17.366332Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

14 of 14 outbound references displayed

verified exact3
verified fuzzy10
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b913b0a0-3d1f-4980-9bb0-6c2d37d5bdfc · outbound

This paper cites Genus-two Goeritz groups of lens spaces.

Genus three Goeritz groups of connected sums of two lens spaces Genus-two Goeritz groups of lens spaces

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.829258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5f27928d-d54a-4431-bddd-c49610cf660d · outbound

This paper cites Connected primitive disk complexes and genus two Goeritz groups of lens spaces.

Genus three Goeritz groups of connected sums of two lens spaces Connected primitive disk complexes and genus two Goeritz groups of lens spaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.809630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 753fb50f-cfd1-4215-aab2-f9b007ecd3bd · outbound

This paper cites The mapping class groups of reducible Heegaard splittings of genus two.

Genus three Goeritz groups of connected sums of two lens spaces The mapping class groups of reducible Heegaard splittings of genus two

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.790208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fcf7d03b-bb88-419e-8edb-a163757f375c · outbound

This paper cites A Primer on Mapping Class Groups ( PMS -49).

Genus three Goeritz groups of connected sums of two lens spaces A Primer on Mapping Class Groups ( PMS -49)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.771886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18baf22a-89e7-4237-a70e-57a823616c0a · outbound

This paper cites Powell moves and the Goeritz group.

Genus three Goeritz groups of connected sums of two lens spaces Powell moves and the Goeritz group

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T14:27:17.308069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24eb8a49-39b1-4fe4-8c9e-e4ce487853bf · outbound

This paper cites Uniqueness in Haken ’s theorem.

Genus three Goeritz groups of connected sums of two lens spaces Uniqueness in Haken ’s theorem

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.753469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e56c267d-5ace-4366-a249-2018a0026b75 · outbound

This paper cites Goeritz, Die Abbildungen der Brezelfl\"ache und der Volbrezel vom Gesschlect 2, Abh.

Genus three Goeritz groups of connected sums of two lens spaces Goeritz, Die Abbildungen der Brezelfl\"ache und der Volbrezel vom Gesschlect 2, Abh

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.731934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2349b310-3269-410e-9642-5112f1fe544f · outbound

This paper cites Problems.

Genus three Goeritz groups of connected sums of two lens spaces Problems

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.714406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f5a5a49b-7c7b-4267-b68a-85e8aa55cbf3 · outbound

This paper cites Strong Haken via Sphere Complexes.

Genus three Goeritz groups of connected sums of two lens spaces Strong Haken via Sphere Complexes

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:27:17.615124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3f5fae9e-bbe2-4692-b9ed-566670b26c84 · outbound

This paper cites Homeomorphisms of s^3 leaving a Heegaard surface invariant.

Genus three Goeritz groups of connected sums of two lens spaces Homeomorphisms of s^3 leaving a Heegaard surface invariant

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.697252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a2aaae80-9600-4582-9cac-aa137198332f · outbound

This paper cites Powell's Conjecture on the Goeritz group of \ S 3\ is stably true, November 2022.

Genus three Goeritz groups of connected sums of two lens spaces Powell's Conjecture on the Goeritz group of \ S 3\ is stably true, November 2022

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-12T14:27:17.584523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cb8fb9cc-0071-4c48-b0a9-fb37ac5608dc · outbound

This paper cites A strong Haken theorem.

Genus three Goeritz groups of connected sums of two lens spaces A strong Haken theorem

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.678161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c79b6777-d5fb-4cb5-bfd7-20c15df7b277 · outbound

This paper cites Strong Haken via Thin Position.

Genus three Goeritz groups of connected sums of two lens spaces Strong Haken via Thin Position

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:27:17.427765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 455fcb71-ca68-459b-a2e9-e8fc0fa591bb · outbound

This paper cites The Powell conjecture and reducing sphere complexes.

Genus three Goeritz groups of connected sums of two lens spaces The Powell conjecture and reducing sphere complexes

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:27:17.660170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.