Pith. sign in

Paper Citation Record · LEDGER

On a Divisor Modular Form and a Theta Lift

As of 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2509.01378.

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

pith.paper-citation-record.v1
2509.01378 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:51:15.724940Z

measured 31 of 31 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 2026-06-26T02:35:02.117040Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:49:54.969402Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff1d62f3-e46b-4d21-b051-8ac4a26439e6 · outbound

This paper cites an unresolved cited work.

On a Divisor Modular Form and a Theta Lift Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:51:21.152327Z

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=2026-08-05T12:51:13.907615Z digest=sha256:7b3e43cac39922cbb51b02eb5c3fcbfc670f774075a9513ae13bbbc07065c301

Observation 92b8cce2-ccd3-4ef3-b613-467a05bf1e9d · outbound

This paper cites Bengoechea,Corps quadratiques et formes modulaires, Ph.D.

On a Divisor Modular Form and a Theta Lift Bengoechea,Corps quadratiques et formes modulaires, Ph.D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:21.143336Z

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=2026-08-05T12:51:13.944269Z digest=sha256:070ce904d609b344c7512cb361c094443b374c0454bec82fa79d83b29a455f1c

Observation 44ede2ad-16a3-4236-af8e-f9c8b3e966fe · outbound

This paper cites Bringmann, A.

On a Divisor Modular Form and a Theta Lift Bringmann, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:21.134041Z

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=2026-08-05T12:51:13.994230Z digest=sha256:9255d429338e67c4cbf1b89b3e265c1cdbc84612fc286f83fcd7caef4410148e

Observation 2429ef12-4381-480a-8f08-6ec8bf02118c · outbound

This paper cites Bringmann, B.

On a Divisor Modular Form and a Theta Lift Bringmann, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:21.124908Z

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=2026-08-05T12:51:14.048497Z digest=sha256:115b1306dfc006da457aaa33d556ee59a8c871bee9e11f4e02ad3fb69c9b376b

Observation a0a5006d-3e15-46b6-ad4a-fb1202000c2b · outbound

This paper cites Bringmann, B.

On a Divisor Modular Form and a Theta Lift Bringmann, B

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:21.116447Z

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=2026-08-05T12:51:14.100113Z digest=sha256:a9a3b7362647498db4815746bc49be4a17d229c03230a1d4f107e6a1fea53d09

Observation a1dfd1d0-a1d9-46bc-9e24-21a5fcc18083 · outbound

This paper cites Bringmann, B.

On a Divisor Modular Form and a Theta Lift Bringmann, B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:21.065414Z

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=2026-08-05T12:51:14.160785Z digest=sha256:a8d113a4696a938c3e11dc0de1e2185255b5410a8fbd377907064b3bb09989d9

Observation d9e43489-8ed0-46d0-8b56-0b839f633f4b · outbound

This paper cites Bringmann and A.

On a Divisor Modular Form and a Theta Lift Bringmann and A

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-05T12:51:16.107161Z

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=2026-08-05T12:51:14.211734Z digest=sha256:66384def7f0be0ca2773c79e45b162fe5952e1865f9e4c810dbf44073703533d

Observation 00ca8039-a578-480d-80f5-df2c310bb86d · outbound

This paper cites an unresolved cited work.

On a Divisor Modular Form and a Theta Lift Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:51:20.890492Z

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=2026-08-05T12:51:14.275541Z digest=sha256:c6ca8124bb0b30b1743623d3a20d537a40dfb9a4bd088eb34eec8fb1294099ff

Observation 840b13d3-0320-4439-9345-88ac537ee04c · outbound

This paper cites an unresolved cited work.

On a Divisor Modular Form and a Theta Lift Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:51:20.668439Z

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=2026-08-05T12:51:14.339255Z digest=sha256:5e9c0dc639971553d280c9ff685758117d06d87e304d3f546238a6f5114d904b

Observation dba7901e-69f8-4d90-91f4-283baba0a0a2 · outbound

This paper cites an unresolved cited work.

On a Divisor Modular Form and a Theta Lift Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:51:20.495451Z

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=2026-08-05T12:51:14.402668Z digest=sha256:9808c06621c5bc0417c8d2171629eca791f199cb79a04e7a8d15f7bc6942daf3

Observation 8d686444-5917-400d-9a57-a16ba9d17d84 · outbound

This paper cites Cohen and F.

On a Divisor Modular Form and a Theta Lift Cohen and F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:20.304471Z

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=2026-08-05T12:51:14.442021Z digest=sha256:45e57b57980681229c2f2eb8e90407d10c2c87e5e41b723008d2ef70e5e10dbb

Observation 79f9d0ea-cac3-42f6-a249-2693376bf108 · outbound

This paper cites Ehlen, P.

On a Divisor Modular Form and a Theta Lift Ehlen, P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:20.128182Z

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=2026-08-05T12:51:14.501457Z digest=sha256:68bbe930fdede6a7ea67e08ebabb41a028f7b0e3bd0782a5de9553fb820e101f

Observation 704ce981-5e5b-478e-bf82-ae7840478f70 · outbound

This paper cites Imamo¯ glu and C.

On a Divisor Modular Form and a Theta Lift Imamo¯ glu and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:19.956458Z

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=2026-08-05T12:51:14.589919Z digest=sha256:7d9a6b9bab6664f54fa6c7c17e39e142ffa6edca00693839876aaa697a95fce0

Observation a268df85-5f4d-447c-a4c3-086d85d17c52 · outbound

This paper cites Katok,Closed geodesics, periods and arithmetic of modular forms, Invent.

On a Divisor Modular Form and a Theta Lift Katok,Closed geodesics, periods and arithmetic of modular forms, Invent

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:19.771318Z

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=2026-08-05T12:51:14.647996Z digest=sha256:3a3bf42b0a69743cd11a61a849b1b895deacb63ab0da42fdb3e5d42cdb8bc4a5

Observation 070919de-aea2-4973-9cb1-f6267627b669 · outbound

This paper cites Kohnen,Fourier coefficients of modular forms of half-integral weight, Math.

On a Divisor Modular Form and a Theta Lift Kohnen,Fourier coefficients of modular forms of half-integral weight, Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:19.511020Z

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=2026-08-05T12:51:14.741315Z digest=sha256:530d715a2cf3690f6f63c582a59e3b6b76c8bc9e581628fe62be1a2d1dac5717

Observation 7054d9b4-81ac-4bbb-8a42-6f1c43640825 · outbound

This paper cites Kohnen and D.

On a Divisor Modular Form and a Theta Lift Kohnen and D

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:19.293384Z

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=2026-08-05T12:51:14.830940Z digest=sha256:5d7015717589494a549b472127838baac1321edd220bdf6d0a9fb649d9e0afb4

Observation 68417ce9-cd51-4662-b9fb-bf60e8023f01 · outbound

This paper cites an unresolved cited work.

On a Divisor Modular Form and a Theta Lift Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:51:19.126242Z

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=2026-08-05T12:51:14.895647Z digest=sha256:8d5b9a1f91229f3f0439f3ff9113af7f713d89f701a2f63422c402559c2fb4c0

Observation 354d2ca9-0dce-4d26-a856-9a5a0b929b80 · outbound

This paper cites Central $L$-values of newforms and local polynomials.

On a Divisor Modular Form and a Theta Lift Central $L$-values of newforms and local polynomials

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:51:15.882304Z

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=2026-08-05T12:51:14.950967Z digest=sha256:8f0089284c8f6cb4367f3befada7c6d3c033242a540301cc4024b3e81ab1905e

Observation 69e06f8a-8770-4c2a-b9df-2b16edbb6ee5 · outbound

This paper cites Mono,Eisenstein series of even weightk≥ 2 and integral binary quadratic forms, Proc.

On a Divisor Modular Form and a Theta Lift Mono,Eisenstein series of even weightk≥ 2 and integral binary quadratic forms, Proc

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:18.758772Z

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=2026-08-05T12:51:15.015123Z digest=sha256:62d6a0510d52e27301c6c3aadf4d0afec2c85112e12035335923d3911baa3601

Observation 53a160fc-1783-4ff5-8cc3-cfb76248c90b · outbound

This paper cites Math.261 (2024), no.

On a Divisor Modular Form and a Theta Lift Math.261 (2024), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:18.345825Z

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=2026-08-05T12:51:15.068020Z digest=sha256:76e3766240e0c1cc375e9d41011f407260f69ee4dc908222e26f09c70876af0f

Observation 328b517c-69c5-499b-ae3a-dceccdfb8b8c · outbound

This paper cites Petersson,Ein Summationsverfahren für die Poincaréschen Reihen von der Dimension –2 zu den hyperbolischen Fixpunktepaaren, Math.

On a Divisor Modular Form and a Theta Lift Petersson,Ein Summationsverfahren für die Poincaréschen Reihen von der Dimension –2 zu den hyperbolischen Fixpunktepaaren, Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:18.115084Z

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=2026-08-05T12:51:15.155907Z digest=sha256:fc262aae0b2a7dabff7dc4b9bf9166d358b06b65de23ed7fa7e8f2d63fa3806e

Observation f0424499-4ca5-4f53-bcc5-cb70c4d562ff · outbound

This paper cites Shimura,On modular forms of half integral weight, Ann.

On a Divisor Modular Form and a Theta Lift Shimura,On modular forms of half integral weight, Ann

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:17.876721Z

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=2026-08-05T12:51:15.190077Z digest=sha256:ee2b00d436f3c490080c09495bd11a1cafa79250ec328c252d214b04697865d9

Observation 94cf0d9c-bec1-4bd1-b4cc-2b64cf86abcb · outbound

This paper cites Shintani,On construction of holomorphic cusp forms of half integral weight, Nagoya Math.

On a Divisor Modular Form and a Theta Lift Shintani,On construction of holomorphic cusp forms of half integral weight, Nagoya Math

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:17.573111Z

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=2026-08-05T12:51:15.269702Z digest=sha256:9bf608e582505e9892162e4f46dcd1311604bc56bfb3a4706f21abde7dfa5b37

Observation 19ca6f13-e016-4b59-b9ce-54dd31067770 · outbound

This paper cites Vignéras,Séries thêta des formes quadratiques indéfinies, Séminaire Delange-Pisot-Poitou, 17e année (1975/76), Théorie des nombres: Fasc.

On a Divisor Modular Form and a Theta Lift Vignéras,Séries thêta des formes quadratiques indéfinies, Séminaire Delange-Pisot-Poitou, 17e année (1975/76), Théorie des nombres: Fasc

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:17.380208Z

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=2026-08-05T12:51:15.321972Z digest=sha256:237dff4ac97bcb9661f10fb3497dd3070d1f57c720d91c6dec462cec1c1c428d

Observation 4b47e5bb-7389-405b-a951-08cc2cad4d92 · outbound

This paper cites Lecture Notes in Mathematics (J.-P.

On a Divisor Modular Form and a Theta Lift Lecture Notes in Mathematics (J.-P

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:17.137164Z

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=2026-08-05T12:51:15.386389Z digest=sha256:5355ec8e2703c7dd37954807fbd2d519282362f44ab39dcc9131c693d12b7c91

Observation 8fc8a5ff-b882-491a-8d8c-82ac131a0471 · outbound

This paper cites Zagier,Modular forms associated to real quadratic fields, Invent.

On a Divisor Modular Form and a Theta Lift Zagier,Modular forms associated to real quadratic fields, Invent

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:16.945091Z

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=2026-08-05T12:51:15.433703Z digest=sha256:ebb50818d5a9d1b6119f95a6487eff92aa622f6c629cd22d64114ffc5cf7d4d3

Observation 1a653d30-c440-40d2-9898-b93ff745b5e5 · outbound

This paper cites VI, Springer, 1977, pp.

On a Divisor Modular Form and a Theta Lift VI, Springer, 1977, pp

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:16.769830Z

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=2026-08-05T12:51:15.524274Z digest=sha256:433cefa970256f75508403feea610ee9e40f120ebf5e385d8d2d601a3aa54f0a

Observation 1c0a0c48-7c3e-48b9-b892-afbf09c5854b · outbound

This paper cites Eine Einführung in die höhere Zahlentheorie.

On a Divisor Modular Form and a Theta Lift Eine Einführung in die höhere Zahlentheorie

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:16.610583Z

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=2026-08-05T12:51:15.573018Z digest=sha256:6a52ffa495be4829bf28f9d4c18dc33b0b7a8bb6bbcb9096e2bca817c735578f

Observation 6c841497-c2fb-4ae1-aad4-9538f1eea816 · outbound

This paper cites Press Lect.

On a Divisor Modular Form and a Theta Lift Press Lect

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:51:16.437383Z

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=2026-08-05T12:51:15.660831Z digest=sha256:ffdf4ece01beccf271df9dafaee8e442090bfe3212c2cde9a67a8320f137a146

Observation 52a21ad6-d921-4dd2-a6cb-70da0eb0ec68 · outbound

This paper cites an unresolved cited work.

On a Divisor Modular Form and a Theta Lift Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:51:16.245616Z

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=2026-08-05T12:51:15.724940Z digest=sha256:347e6fd38f5de5792992f6b6e062822005b8f18ca07edbb2fecdaa495ad67f35

Pith citing papers

Observation 091369b8-4938-4bee-a24d-cfaa7df0e4da · inbound

A direct proof of Mono-Rolen-Stumpenhusen and new constructions via the Maass raising operators cites this paper.

A direct proof of Mono-Rolen-Stumpenhusen and new constructions via the Maass raising operators On a Divisor Modular Form and a Theta Lift

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:49:54.972332Z

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=2026-06-26T02:35:02.117040Z digest=sha256:fdb9081c75d259df2a9ee14c444bb371d4e02a1d2306d54d46d49d0cb0e8d434