Pith. sign in

Paper Citation Record · LEDGER

On a Divisor Modular Form and a Theta Lift

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:13.907615Z digest=sha256:6d85e9444eee405aa4b80a5c198055f71b4439ff46bddce00bdff61f63afa86f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:13.944269Z digest=sha256:b22804f99194f77dbcd70dc6d6d3bf4e30627846d2a05a899c64dd20db8dc43e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:13.994230Z digest=sha256:8f9c103e6dc7f0fd3b7afbe79e38a7c924072e5af16ce78b569c41e9857dbef2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.048497Z digest=sha256:14d8cb12c9b83db83d7ec05f3b738697265c49d839c12ff677ef0decc5e1e345

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.100113Z digest=sha256:3ea046d41b0569e6fb93e924f7061364edce8c92dd92d2f609fcc89805b1d838

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.160785Z digest=sha256:1c5fe18e738408e6b67225f0c826da73513b351c1dce77684e5328bc3e65c08f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.211734Z digest=sha256:8da51a6fe0a2deb94c62c5df970628fd1fb0db78bff959b4e8826c5a585c6a51

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.275541Z digest=sha256:aebd1f70a98b1ea0dfefe77a96b3ef510f5848aae54ca3c86e704324b025db78

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.339255Z digest=sha256:e5109dec25f3df10af6427f946e3213f4b313d7977db7ede2f12b09d0c246530

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.402668Z digest=sha256:1f2f3c8fbba4d0a95b5af3f541a69093663ed4c812dd4eb66e60fb38d1458e18

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.442021Z digest=sha256:df7254314caa7144305f42e35f1d8d1de4cb03d41bc9f757dec8ea5774b1bbbd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.501457Z digest=sha256:c276418884a1ecee53c2bdfd138a8ea79a2291d7a41898733600cfcf7214edf4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.589919Z digest=sha256:f0ed08fb56bb1f554d3a45442e81c99452460211b37d863e6a9dd641e7f874c3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.647996Z digest=sha256:444de79857de79041576256f649ab1b21cb1b73d91bc292341dcf46a684394d3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.741315Z digest=sha256:ae7b2b94a824f2f846173b8953ac09b6f7c38be314d9e89be7eddfce1e374b53

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.830940Z digest=sha256:d0ea5de7f0b97a161dabb5a99898766a9bb4e7db993fce0c8e746fe74997d90c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.895647Z digest=sha256:8891556eb1dcd30cec3a6bbd1a5bb959903fb938554dc8d8dcea32fe2186dd52

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:14.950967Z digest=sha256:3a0c98b29f1273fb3f48d3b239258cbd4074792645cd88cacff2def799a7be68

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.015123Z digest=sha256:da8b73393c189c9fefc4594a4cd865835910f4f371a6e681ff527c5c4cc5edc5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.068020Z digest=sha256:9c69629895e4009e12fda4e50528a1ddc1dd8d7eee72ac83551b2abf3e6199d9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.155907Z digest=sha256:0daef41502a773ded7c15d38148c04c78e4aad77e6c1ec04ba5f9db4dd21b68a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.190077Z digest=sha256:456292d7d3b90f3fa8b14a127e221d85982e83676076f00bc97ee3746e1618b0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.269702Z digest=sha256:d834ea65892274c9f243767191a1dff2f26c717f4514302fa8adc87828eb40a6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.321972Z digest=sha256:7d1974476004495af344f9c352d01e53e6d90891307fb66a376349b93dfd714c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.386389Z digest=sha256:f424df3c373f8d226e8886fd6c1082073fc407f368f6594b136f094c8582608b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.433703Z digest=sha256:f038c646f4660ffbe95ffdeae82290b078c3fd7c7f24cf77c188fc594c6ccab0

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.524274Z digest=sha256:35320ec3e90af4ce087e9e1311fa02eefe0f6be0ea883d10e0b46d31d5a74f18

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.573018Z digest=sha256:dcced9b8cca043b7c57aa44f3e42c9a5fadaf93a27187c29330d7fe9a4862aad

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.660831Z digest=sha256:516eaa0f2e2536848a888ba3a8607744058474d6db3114d659545d8190646083

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T12:51:15.724940Z digest=sha256:2258219f931e6617f84675673bdbb6f0e75c0fdf29ff291c041034f8817013e5

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-06-26T02:35:02.117040Z digest=sha256:3e896742c915e47ea74593c148a39e2379e01f33376f2d2f00b209d978aa771e