Paper Citation Record · LEDGER

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2504.16625.

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

pith.paper-citation-record.v1
2504.16625 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:13:37.996505Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

22 of 22 outbound references displayed

verified exact1
verified fuzzy11
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a43ab08-b6f7-4644-b0a6-d9622002aada · outbound

This paper cites asentation von C hevalley-gruppen \.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ asentation von C hevalley-gruppen \

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.802901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a465e31a-8527-4e07-bb15-bf090bb1eddf · outbound

This paper cites Julia: A fresh approach to numerical computing.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Julia: A fresh approach to numerical computing

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.662722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06bfc032-d4c8-405c-807c-1745fddb8a06 · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.667380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 463e0f2a-77a7-44d1-8fee-89c84783f0b9 · outbound

This paper cites Higher kazhdan property and unitary cohomology of arithmetic groups.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Higher kazhdan property and unitary cohomology of arithmetic groups

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.671711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e98a059e-aeb3-4560-9a3c-52f148addcc4 · outbound

This paper cites Braid groups and symplectic S teinberg groups.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Braid groups and symplectic S teinberg groups

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.770048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b97b8934-5f8e-4f96-ac47-326cd8af5c77 · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.823161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dc25b7d-c528-415a-8dab-6bf537eea557 · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:13:38.746732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cb634337-3f42-4cdc-85d4-00cd682ffcf5 · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.934004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bf80840-ff02-4b87-8bb0-0fb1926bf3a9 · outbound

This paper cites Kazhdan constants for chevalley groups over the integers.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Kazhdan constants for chevalley groups over the integers

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.723672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 154d09fe-caac-463a-9a19-a74986adcb82 · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:13:38.708168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8b8c2ab1-f497-4210-95ac-40fa484598ed · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:13:38.594822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cf1c1245-9242-457c-8754-6b1ccd0f1686 · outbound

This paper cites Nowak, and Narutaka Ozawa.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Nowak, and Narutaka Ozawa

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.487401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 80be5dcc-562d-4c7f-89e1-c4102333bcdd · outbound

This paper cites JuMP 1.0: R ecent improvements to a modeling language for mathematical optimization.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ JuMP 1.0: R ecent improvements to a modeling language for mathematical optimization

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.473970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 522909d2-de35-4dd5-bae9-3a08c930b139 · outbound

This paper cites The product replacement algorithm and K azhdan's property ( T ).

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ The product replacement algorithm and K azhdan's property ( T )

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.459659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 925221df-382e-4f7f-9b89-7bd63ab249f2 · outbound

This paper cites an unresolved cited work.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.963457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bd4b765-4aba-49f8-a510-35a94aac3ccf · outbound

This paper cites Sur les sous-groupes arithm\'etiques des groupes semi-simples d\'eploy\'es.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Sur les sous-groupes arithm\'etiques des groupes semi-simples d\'eploy\'es

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.435974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6834f8c9-b6bf-4c81-9c86-f02da11ef1f9 · outbound

This paper cites Inducing spectral gaps for the cohomological Laplacians of $\operatorname{SL}_n(\mathbb{Z})$ and $\operatorname{SAut}(F_n)$.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Inducing spectral gaps for the cohomological Laplacians of $\operatorname{SL}_n(\mathbb{Z})$ and $\operatorname{SAut}(F_n)$

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:13:38.052519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f7bb549c-0f54-49fa-80ca-5c490d0436fd · outbound

This paper cites SP\_2N\_Cohomology.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ SP\_2N\_Cohomology

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.421337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8cf973ae-298b-424c-a8dc-1ef610317a4b · outbound

This paper cites Computer proofs for Property (T), and SDP duality.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Computer proofs for Property (T), and SDP duality

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T11:13:37.982003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efe4395e-f622-40fa-8efd-5cb834f77686 · outbound

This paper cites Conic optimization via operator splitting and homogeneous self-dual embedding.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Conic optimization via operator splitting and homogeneous self-dual embedding

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.406968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 15636916-c406-40cc-98b1-16abb9b8caca · outbound

This paper cites Noncommutative real algebraic geometry of K azhdan's property ( T ).

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Noncommutative real algebraic geometry of K azhdan's property ( T )

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.391015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1634e8a9-6a2d-41fb-a6ea-30edacde59da · outbound

This paper cites Sanders and Luis Benet.

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$ Sanders and Luis Benet

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:13:38.283417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.