Pith. sign in

Paper Citation Record · LEDGER

On a Divisor Modular Form and a Theta Lift

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:13.907615Z digest=sha256:8b68b6873d49f5fc59bff97aaddf47da05e9e2bef0e0ad0aa75a355ff89a7d3a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:13.944269Z digest=sha256:a437f797a87f1bfde85f1e72242864b2a9c7db5b3435cb5bf53fd6580bad5587

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:13.994230Z digest=sha256:6b191d4bfe97ca21df3ae9269d723f9415a240ac168960eb513aaf7448c643b2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.048497Z digest=sha256:512dbdba7fdcf93e9321da6809339b6c75f3c862c799a4b42c7104f747c85f4e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.100113Z digest=sha256:625647f7d4c34bcc7e8d5d274cc40f16793e5ead0db958f0f6051821470c091f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.160785Z digest=sha256:a30b0d54ee3049fb7945e8704e7f6c127f8735f129646c6588007966e35bd5d4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.211734Z digest=sha256:9e25f76c53fe7492f3ad1d8f10efd28ec9ca22ec32216300296f2d7c68d20c34

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.275541Z digest=sha256:6c69d7b636732f08c43cc4ff724ebaa2933f1188786f5869e9b71e3bd43b1bbe

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.339255Z digest=sha256:61c11f041c1ca3ba20c8b179c521138801f258a9e0d18b9ad07360807a59dda0

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.402668Z digest=sha256:849713b710edc831cb8fa5f2349ce247abd300b3db34d5ce525cd746eb713423

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.442021Z digest=sha256:87ca348c4e400c1c8aaec038cc66bb2d2e0fcbe2e856cc0062570cbd5a2bf024

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.501457Z digest=sha256:ba64473f4cd7d5897eb78e0b2f18b138dd9eaef7bc8d0853e9b907feb939256e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.589919Z digest=sha256:602861d4b180060a25a39753d087b7db03ab80406a91ba0f45db0f79f14b098e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.647996Z digest=sha256:30c4cd10d39c22c68d2d20cf721a912e39c30f85a3a21d69c0f8e3ef8948adc4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.741315Z digest=sha256:409bd18af11b55f1a8e308254a9515629b51886f00b75c457aac0805ad53200e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.830940Z digest=sha256:6ccb8ec35c8d11726a4bac93e6ad32c2f1ad5ba87dee177f1a6f391f97acfa5f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.895647Z digest=sha256:3efa1c4ceb4ad6b2f4680caef72e4b43d7f604552fac04304a2767cce1d4c82e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:14.950967Z digest=sha256:13e5d666e0ad994a71fb688ceef93ce1185a0997d7d31dcebbb69e9b11f9086b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.015123Z digest=sha256:63f9c0d7ed36bde467cd35e3d13ad19fce3593c5a3671e9f5b038273acf7e7c2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.068020Z digest=sha256:11b5c505dbe5b146c11d0600103b176e29b6d03c0d5bf4fed696895648067000

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.155907Z digest=sha256:d43a60decb653fac7c7c762bec698a22dcadd2fd522e36a4073494070df0f0d2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.190077Z digest=sha256:be94464fbdba7f8e46283b1c5f607d45e53b00fec1638b72a2c0be1b90052cea

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.269702Z digest=sha256:9092404b5dc56e555b56b213d985e916edd9c6f0a181ed6ab804da2cbe3f761c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.321972Z digest=sha256:df4f99873db2d4dfd2946bb5228efb261bde3212e652368fd72da08ef6c1ddd4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.386389Z digest=sha256:2f586b59934840112bb36fddfb59ed79421bf9cf8c89573b144514f73df091d8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.433703Z digest=sha256:4bf5b783870b2237c6ca9198565f0ab03cfdc45e90e237dc36a5ca177609f459

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.524274Z digest=sha256:3d12473984683cfc02d29f3291cac5b6601ff72b16c1d55df09b98c0a5b40187

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.573018Z digest=sha256:944ff09d852f8144f6e4f74759a1b0a5a8a9d3a653e4d37a64ddc59dff8531b4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.660831Z digest=sha256:bcc8691f12918917c9df91c39e8ec813e9d82a2ce9afb847303b4aca4092ffaa

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T12:51:15.724940Z digest=sha256:65a0150c05bab6db5273727f3dbc2ae08e52a5684374d8b9f7b2c0286e818118

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-26T02:35:02.117040Z digest=sha256:29c732fbe65f2489275fbe55628dc90f61d3ecdf6a6770e16691a570f5d163ec