Paper Citation Record · LEDGER

Low-lying zeros in families of Maass form L-functions: an extended density theorem

As of 23 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.18712.

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

pith.paper-citation-record.v1
2505.18712 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:41:42.666084Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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 fuzzy2
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a400c25c-4264-40ef-8534-a1846439a19b · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:49.114986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9ee2e222-d30b-4624-802e-e1c73c5d74c2 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:49.012723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6fee0736-2e7e-4782-800f-c0bfd119f1ff · outbound

This paper cites Low-lying zeros of a large orthogonal family of automorphic $L$-functions.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Low-lying zeros of a large orthogonal family of automorphic $L$-functions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:39.087792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31e7620e-7295-43b0-b777-8c2966c6f65f · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:48.867050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 47e0869a-5d13-4813-978e-2c2580023a9f · outbound

This paper cites Extending the unconditional support in an Iwaniec-Luo-Sarnak family.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Extending the unconditional support in an Iwaniec-Luo-Sarnak family

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:41:42.861773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6d1020dc-3249-4c60-ba76-dd1ccc038e4c · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:48.694439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c407335a-c739-4f72-916c-29adf7d4d0a6 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:48.444714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eec55172-14a5-4afb-bf57-8dcb4cf4d87a · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:48.095650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e4c9d6f6-eda1-4dc7-865c-9bdfe50cdd0e · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:47.806542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1ae52056-c259-4c5a-ab80-b56337666fce · outbound

This paper cites New large value estimates for Dirichlet polynomials.

Low-lying zeros in families of Maass form L-functions: an extended density theorem New large value estimates for Dirichlet polynomials

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T14:41:40.007407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05dc9ad5-3d1a-4adc-b5a8-44aa950300c2 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:47.577785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4652e2c1-245f-4c28-8b41-9d8ccd5c77c5 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:47.360146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ebd8f16f-f361-4d60-a05d-10dde3871f33 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:47.082899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c98e0218-2b98-435f-a88f-69761d0924b4 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:46.909389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 42a6fbd3-718b-46f9-8967-0072a923f56c · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:46.663037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 394dd65f-9282-4f6b-b650-b4788401f740 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:46.471574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6f637668-2f70-497f-9ee2-f377b9162638 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:46.244764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4e9b8dd7-f882-466a-9694-bc76284cf7d3 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:46.067719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7fccf076-1685-4bf3-bcb9-34c689900b47 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:45.861644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 227a0854-2df4-441c-a7d5-93ccbe680ea7 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:45.758362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a27751e7-7aaa-47bf-abf1-f9111db6e7e1 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:45.569918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 31fbf10f-9f85-47a4-95c1-75dd3977fada · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:45.498342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e50ddc55-af15-4b90-bc97-9311de9371b4 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:45.362374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 08d92ad7-b24e-4c24-b127-930441f67c50 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:45.191054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b7785f89-e041-405d-9840-2822ec6ed52e · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:44.971832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a6549c42-f972-4ea3-b036-fd6b489f022b · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:44.730618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 48a9aa2c-80aa-4183-a3ae-17a4c2b40ed5 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:44.528197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d90fdd52-be43-4f00-b022-31b0fc49d93c · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:44.375855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3ae483b7-cd7c-4f9a-a08c-a69ce5728625 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:44.239628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ca2d1ef1-2e37-4dce-8892-6f48ac8dfb74 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:44.070910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e8764465-6f5d-4898-9c53-79f0aea270ef · outbound

This paper cites U ber die Anzahl der Primzahlen unter einer gegebenen Gr\.

Low-lying zeros in families of Maass form L-functions: an extended density theorem U ber die Anzahl der Primzahlen unter einer gegebenen Gr\

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:43.950089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 41e89beb-5380-4d0b-8661-9a03aa2306f4 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:43.797041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 73887dbb-dabf-4529-ba20-fd76a6ca4ed4 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:43.643125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2817d31c-1eb5-4006-8b3e-adf90873c162 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:43.475623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e06a20f5-7e32-4a8c-aa06-8a8fe73158cf · outbound

This paper cites \\ Available at https://www2.math.uu.se/ ast10761/papers/papers.html.

Low-lying zeros in families of Maass form L-functions: an extended density theorem \\ Available at https://www2.math.uu.se/ ast10761/papers/papers.html

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:41:43.336797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9a8fd438-07f1-462a-bce8-2ac4d7cdd00f · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:43.190026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5206480c-d2b5-477a-bc5c-f6f501f0a120 · outbound

This paper cites an unresolved cited work.

Low-lying zeros in families of Maass form L-functions: an extended density theorem Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:41:43.040732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.