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Paper Citation Record · LEDGER

Optimal Lifting for the Projective Action of $SL_3(Z)$

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:1908.06682.

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

pith.paper-citation-record.v1
1908.06682 v3

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:51:59.044883Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T09:43:57.559774Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-24T09:44:18.432590Z

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58f1f7ee-505f-4ba9-ab28-bb391a69c557 · outbound

This paper cites Density theorems for GL(n).

Optimal Lifting for the Projective Action of $SL_3(Z)$ Density theorems for GL(n)

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:58.931984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:58.931984Z digest=sha256:cb2eb6e1b22e29a24197b879a6dc4c6e70f0bca05c7be743e22bb870517b167e

Observation ee79b116-3dc4-42b5-91d3-ede910c97921 · outbound

This paper cites Applications of the Kuznetsov formula on GL(3) II: the level aspect.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Applications of the Kuznetsov formula on GL(3) II: the level aspect

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.538372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.938314Z digest=sha256:8bbfc222875e289b6e8ba12b79a07ab96d1a5997d6ebf1c8f7afd91203f58bf6

Observation c14a3aa9-acc7-4218-a362-22a55b53b0b8 · outbound

This paper cites Ramanujan duals and automorphic spectrum.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Ramanujan duals and automorphic spectrum

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.502376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.943690Z digest=sha256:a8cc7ddd4add63af154fef581f0422cdd5a8b1317fe2e20d51b81c51c5806478

Observation 83a60b40-e1f8-44fa-90d5-2c5aae06dd1d · outbound

This paper cites Density of integer points on affine homogeneous varieties.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Density of integer points on affine homogeneous varieties

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.482164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.949062Z digest=sha256:dc536a6f7d4a6d1bfa9f7675227d637214e0beaba346deff5e672450a7987dcb

Observation 393280d0-b260-493e-849f-622b79081a1c · outbound

This paper cites congruence.

Optimal Lifting for the Projective Action of $SL_3(Z)$ congruence

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.459516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.954627Z digest=sha256:35a31a63d049ef9ecd9b4383e67067c0348a5164fac159268acd3328e85a05a2

Observation 83f4414b-2190-4e46-85ff-51678bcdc67d · outbound

This paper cites Diophantine approximation and automorphic spectrum.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Diophantine approximation and automorphic spectrum

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.440739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.959840Z digest=sha256:ea904bc7c233d31dd609bdcc2323dc7f27a073779097e697b6c3b9c239ab62db

Observation 5c23356f-a63e-4596-9af0-e9706c22d667 · outbound

This paper cites Best possible rates of distribution of dense lattice orbits in homo- geneous spaces.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Best possible rates of distribution of dense lattice orbits in homo- geneous spaces

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.420179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.966305Z digest=sha256:0789421c71456c2985cb98c1cee6f5dc0ab550b423beafced8188b31223ab634

Observation 24bacebb-ecd4-4ae3-9427-75d5255c3501 · outbound

This paper cites On Sarnak's Density Conjecture and its Applications.

Optimal Lifting for the Projective Action of $SL_3(Z)$ On Sarnak's Density Conjecture and its Applications

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:58.971495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:58.971495Z digest=sha256:01639fb0d8dab2a8066ba87f6251bb2ff87d09b70a0c1849f84717af853d5f43

Observation 0a5391e7-f12c-44aa-87c2-6f61f14231cc · outbound

This paper cites H., and Wright, E.

Optimal Lifting for the Projective Action of $SL_3(Z)$ H., and Wright, E

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.400538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.977219Z digest=sha256:9401d976ec80e2b5be6e986f4e52279f409bf716af44d8ed31c278533828fef3

Observation 92b4bdb5-213a-4644-aa19-609855217d4c · outbound

This paper cites an unresolved cited work.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:51:59.380684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.984056Z digest=sha256:3e9e66a84f14f6a6386c97243771180e3e627795d82843e9ed9b34123acc6a97

Observation 9f329dad-e098-4b15-87ee-89326aba4915 · outbound

This paper cites Density theorems for congruence groups in real rank 1.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Density theorems for congruence groups in real rank 1

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.357332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:58.994726Z digest=sha256:a6e36d21fa3b1ffcdbcb38ec2f51a8244c9f9a57844535a8f7e4a4caa26bd27c

Observation 5c2ab43e-0402-4363-b375-0688d3bf257e · outbound

This paper cites an unresolved cited work.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:51:59.337561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.001555Z digest=sha256:ad14963b807e92097dc78004896453232351770702b4e4669156b398edeeb66e

Observation 416bb5f6-fa98-4add-84ac-ef40765c09b9 · outbound

This paper cites an unresolved cited work.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:51:59.321058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.007979Z digest=sha256:56f2f2cda60873be3a1b75993e448bed627fc0d1cc36527fd447f8f99075214b

Observation e26d2a74-3ba3-4759-a216-d432913d5535 · outbound

This paper cites Homogeneous asymptotic limits of haar measures of semisimp le linear groups and their lattices.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Homogeneous asymptotic limits of haar measures of semisimp le linear groups and their lattices

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.296897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.014350Z digest=sha256:98d4c02ed12c9fff30a494b4e2f0327574989d1fab113f9d7e3120f3b81b1662

Observation 7441d3da-8955-4935-9986-6ac076c5a44e · outbound

This paper cites Uniform pointwise bounds for matrix coefficients of unitary r epresentations and applications to Kazhdan constants.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Uniform pointwise bounds for matrix coefficients of unitary r epresentations and applications to Kazhdan constants

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.274645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.020251Z digest=sha256:aa982d814e33b70062e137538c49f6c528b4968ddd8f966a6606fdf56f0624f8

Observation 9f4758fe-e368-46ec-a7c7-6384e79020ab · outbound

This paper cites Notes on the generalized Ramanujan conjectures.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Notes on the generalized Ramanujan conjectures

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.247526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.026003Z digest=sha256:8d7a4c91801dbe82de2f61aaceda98fa0b39b730d9703c45848ada1cee408970

Observation 2811e11a-6cad-4286-a953-5e2820cc9f4d · outbound

This paper cites Letter to Stephen D.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Letter to Stephen D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.223416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.032762Z digest=sha256:c28803230d59ad67819b497381973e8321329ec6eb6ceedd796bbcb225636fc1

Observation 2692759d-f68a-4c09-9292-cce9aa061850 · outbound

This paper cites an unresolved cited work.

Optimal Lifting for the Projective Action of $SL_3(Z)$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:51:59.195470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.038508Z digest=sha256:64e575b9365a7c1e2dc876dd277aa05fd87c1286305abb3eb37f0f47755c6c5b

Observation 32918f9a-4af8-49fa-9ca9-76a3a70106ab · outbound

This paper cites C., and V aradarajan, V.

Optimal Lifting for the Projective Action of $SL_3(Z)$ C., and V aradarajan, V

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:51:59.165451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:51:59.044883Z digest=sha256:bf5309c59d4c809e6e65e4fffffdbf6a20b0866417d12b2c58a8e7b1a687ea3e

Pith citing papers

Observation 5e78f1b0-7315-41a5-8779-d1bfda141009 · inbound

A density theorem for Borel-Type Congruence subgroups and arithmetic applications cites this paper.

A density theorem for Borel-Type Congruence subgroups and arithmetic applications Optimal Lifting for the Projective Action of $SL_3(Z)$

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-24T09:44:18.435245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-05-24T09:43:57.559774Z digest=sha256:0388d5720cd741290c914e44a4c80a14337cb0e6a1813436bd2cc4e5cc2f8d8f