Pith. sign in

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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:38.897383Z digest=sha256:8ca22724d595d934037f9c24d8aee7ce73b2a509cc7709259ebf72ccfb988e9f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:38.986764Z digest=sha256:a58b54e79a3ffcde159ef40f40ccd3d863bcb64773f116ec452802c31c203171

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.

source=arxiv_source observed=2026-08-07T14:41:39.087792Z digest=sha256:c47ec47576cc661b2718802b6fe5f7ccd987b0c01fe3d2d44183fa5ccd86041b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:39.243397Z digest=sha256:6e38b2f1ed5d8b7ce821eab476badfae6f598e504a1eb6e646fec9c8f5648290

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:39.347807Z digest=sha256:7d909f09e1d1f3d6975e2cdb758a71359bf89e63d88492f3f859392d86f336f4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:39.485080Z digest=sha256:b94f81150131dbb65ccd13fe1eb61bf34faf191ca3cf1eeac189eb780920793a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:39.639479Z digest=sha256:1e9fd2cfdbe3b2541118688793a5e62b42bc91bfbd48cb1ed8f4db47d4b16936

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:39.741459Z digest=sha256:5cd03af579556bb6c54949318f7d11e7b68a62663e673fa1fbd5f08efc12cbb9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:39.856114Z digest=sha256:f7c69111c3be552277c12447588c472daffb39d61fc945fb2b52b4bff4efbf13

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.

source=arxiv_source observed=2026-08-07T14:41:40.007407Z digest=sha256:cf7747e77bf08860ce0c1f0d5684fad5faf38461d85c419544960a792ebaf1f2

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.144594Z digest=sha256:d3ee0de273065948648420771c0f422037d9182055f38995f0e764ffcac5956e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.260835Z digest=sha256:cca7ecd1540e810a1484828fd41d258efb658631dbd452ac6cc6a69de36ae62d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.396853Z digest=sha256:b796e6cb3d3966f9c41f7ba2847cda503772418a89da1390c044611ebbb6f652

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.481828Z digest=sha256:43f157fbbabde6267e99f13a69952d12aa03bfb788ea019b6611b8df4bba23a8

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.582370Z digest=sha256:1721f33d3e2e4c081135cd7f718d4605caa7e26ff4503f1ff993ca8500fa1092

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.699909Z digest=sha256:86caf9e801314fc934ab773bdb324c9a20d150269bae6dc534a7ab4f62d78505

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.788585Z digest=sha256:7454c538c23b0e0cfec52006f104718cc9a2349a152ba7bf43922a9a696c5514

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.865446Z digest=sha256:2c40cf4c301e3dd98c5be2501535af51f1cdf1840fea2229e4c5cb4114df5f83

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:40.964243Z digest=sha256:2855e0d47fa15a7374c09f69e84b3c3d475f74c8592b3624cdd1c8d461a62f9b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.062459Z digest=sha256:31729eb342dd1b76bc725947b2c83ec064ca95653a0462e46892ab3b94a610db

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.157596Z digest=sha256:2c1e661d35072ac51f6aa0ec8657961ba5f8f1f9be6f99ec39c805c0d65f5e7e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.264589Z digest=sha256:bf9c93b8e0fe76837d5066e800090df910ab9b91446c3bbc1c987aa44a4c0216

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.355978Z digest=sha256:72de0219e3ee66259e3f6d4bc6df32f081137c9044407b97e40ad7b6afcb35f2

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.435721Z digest=sha256:af77d8411ce40afcfe346d95051d6dc90738a64afb7b6dffc2743cf7946ae7cd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.517037Z digest=sha256:4f8501d87be2fd6c57b32c391290a84c2a871f9a96f03f72a12e6191cd29aa0a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.614651Z digest=sha256:a4c4ab83df5cfe0cfd090aff22970dbe9cdeee0b3eb466079633df6b1ded5d79

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.712919Z digest=sha256:6a0468f99f139f3679ed5281bbe04a48c408ac792a7d6173cd1949764e18dcde

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.810519Z digest=sha256:7e19a048f7d07082463bd2d18e78beadb79c854f0fa4054542bf91da9d0672a8

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:41.906260Z digest=sha256:7241fe015d7a545055fccebb5c3ebba1947c14b183ab86ab6f849a0bdd479c50

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.008824Z digest=sha256:bc083906a1c337280bb27e51d6b1df5bb41c0681bcf000237cc403b155240acf

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.106786Z digest=sha256:cb600300f882dc3e041e1aa8932c5981e7b631e5f2e72bca16dc0e3b75cee26d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.213002Z digest=sha256:7e611c2779606ed91bfdfc3a8cfff2f28cdf132ddf80d307b75521cd7ccc62c5

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.308736Z digest=sha256:40dd801d80db17d70d08da77bf824b51c26ccbc08b8373031aa9e408bec275f9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.378672Z digest=sha256:00cc1bb2c91e8fa4016b769cf7f3e6907b130be9f6c1c0798d4375eca22719eb

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.482772Z digest=sha256:f74aad3e1e270fbf376387455ee385f197ec2a08e98aba3b32db7716773a8296

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.550507Z digest=sha256:d8c9a84abe8759aed7349048ac727d19f51cb874fbcc653167055fc5f6ad2c15

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:41:42.666084Z digest=sha256:7badfa235b3c5d8b02233295cdebc6a532b109fc6ad8f5a10a53e6976e31cde0

Pith citing papers

No inbound Pith citation observations are available.