Pith. sign in

Paper Citation Record · LEDGER

Quadratic forms of modular forms

As of 20 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.21951.

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

pith.paper-citation-record.v1
2507.21951 v3

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:29:13.564968Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 416b601b-8e32-4a2c-b621-0ebc19ee3eff · outbound

This paper cites Polynomial identities between Hecke eigenforms.Int.

Quadratic forms of modular forms Polynomial identities between Hecke eigenforms.Int

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.422622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.417228Z digest=sha256:86904f3338d91be51a6af0db410569e9fe8115f8e8666530d3f710944f751cea

Observation 2aa35a01-67f3-4c39-b27c-06f3590d4542 · outbound

This paper cites Divisibility of an eigenform by an eigenform.Proc.

Quadratic forms of modular forms Divisibility of an eigenform by an eigenform.Proc

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.397333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.423859Z digest=sha256:8a2285daedf48ba92061c76a342e523baffbfc23e49c4380566a2d9e6f4e3512

Observation 328145fe-b8b3-4e22-8537-89c5cb577103 · outbound

This paper cites The mixing conjecture under GRH.

Quadratic forms of modular forms The mixing conjecture under GRH

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T12:29:13.429107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:29:13.429107Z digest=sha256:3aa65dd8e13f08869539231377b3e810309dda9c7f5809f8df4b961c4dcf6921

Observation 97f4f535-823c-42e4-ade2-c65c2df54110 · outbound

This paper cites Distribution of mass of holomorphic cusp forms.

Quadratic forms of modular forms Distribution of mass of holomorphic cusp forms

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.363809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.434802Z digest=sha256:315aee3b28733cb53c39d532131eadd108ee81d190b64e8dbf6da88158f0bf11

Observation c33080c6-808e-47ba-ae73-0446cb98ca1f · outbound

This paper cites Explicit upper bounds forL-functions on the critical line.Proc.

Quadratic forms of modular forms Explicit upper bounds forL-functions on the critical line.Proc

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.341911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.440281Z digest=sha256:6349268257a86813fd7fa9c92c09c28dfb1a5191800c37618945709549c52a29

Observation a42768ff-dad8-4235-b679-26834314781d · outbound

This paper cites Bounding|ζ( 1 2 +it)|on the Riemann hypothesis.Bull.

Quadratic forms of modular forms Bounding|ζ( 1 2 +it)|on the Riemann hypothesis.Bull

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.316815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.446618Z digest=sha256:558f9288a99ea2251c39d5ceb3722d1f531ed31276aecb046ca460d1e43ad8fa

Observation 48f49a65-067b-41d1-b5ae-5bef7f229cb8 · outbound

This paper cites The hyperbolic circle problem over Heegner points.

Quadratic forms of modular forms The hyperbolic circle problem over Heegner points

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-06T12:29:13.836549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.451633Z digest=sha256:94186dd54d72bc8b02a1a13f13f524153822d3b26b0f68067b64648a284c0897

Observation 800a7f62-1c28-4dc6-ae99-495556dfddab · outbound

This paper cites When is the product of two Hecke eigenforms an eigenform?Number theory in progress, Vol.

Quadratic forms of modular forms When is the product of two Hecke eigenforms an eigenform?Number theory in progress, Vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.293066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.457568Z digest=sha256:b3c1bce5f8256b514142b0c07f6f56d7b41ea087285a7ccbce74ce7d55d01a41

Observation 4f6e985e-9dd5-4fbe-837d-b16f05e63de0 · outbound

This paper cites A relation between automorphic representations of GL(2) and GL(3).

Quadratic forms of modular forms A relation between automorphic representations of GL(2) and GL(3)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.271292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.464368Z digest=sha256:62c800b20ae6a693f60b21e46ae42e9cb4947cdb04137e6d3fc343e9eb3b8e6b

Observation ce1bf7cc-59d3-47c3-adf1-26b935088a16 · outbound

This paper cites On monomial relations between Eisenstein series.J.

Quadratic forms of modular forms On monomial relations between Eisenstein series.J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.231804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.470320Z digest=sha256:8568db758fafc008f32ea11feca23074c1a10811d51b86e21d09833db4b34cc9

Observation 6f45ac7b-4043-4d4f-97b8-f169becd13cb · outbound

This paper cites Sharp conditional bounds for moments of the Riemann zeta function.

Quadratic forms of modular forms Sharp conditional bounds for moments of the Riemann zeta function

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T12:29:13.475840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:29:13.475840Z digest=sha256:1178e228666ea2115ccbf3ff10044d5d247d7121bc31a5ea8abc19c59cb6c0a5

Observation 16eab1c7-8d5d-4017-9062-ea98463dfb39 · outbound

This paper cites Joint value distribution of Hecke--Maass forms.

Quadratic forms of modular forms Joint value distribution of Hecke--Maass forms

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T12:29:13.482047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:29:13.482047Z digest=sha256:f54c1089cea3ac4bf8dc23462db743c3d16c4dc2a690f86e50ab0da9fc4e7dff

Observation bf7ee28c-469f-4fc2-a6cb-eadc553801c3 · outbound

This paper cites Quantum variance for dihedral Maass forms.Trans.

Quadratic forms of modular forms Quantum variance for dihedral Maass forms.Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.203543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.487536Z digest=sha256:9206e0c31b43d93f9a7e9d9f36e08e709e9aae77af2b055d6cb0864a01271b4c

Observation 6d97de49-d8b1-40da-8ece-59957064c8b1 · outbound

This paper cites Joint distribution of Hecke eigenforms.

Quadratic forms of modular forms Joint distribution of Hecke eigenforms

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T12:29:13.494225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:29:13.494225Z digest=sha256:4c8153ea6d8c25442155eca5f540ea4139b15cbb85d2f9eced350c16769a8034

Observation 04287760-0494-47ad-b1d3-a7fd8ddace0d · outbound

This paper cites Eigenform product identities for Hilbert modular forms.Math.

Quadratic forms of modular forms Eigenform product identities for Hilbert modular forms.Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.178307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.499551Z digest=sha256:624dabe46fb99b47437678c65fc1a618c0656ff806e3a2554de99bc9962007f7

Observation c02f7108-4ad0-4975-949e-3f6cd6099821 · outbound

This paper cites On the nonnegativity of Rankin-SelbergL-functions at the center of symmetry.Int.

Quadratic forms of modular forms On the nonnegativity of Rankin-SelbergL-functions at the center of symmetry.Int

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.151294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.507144Z digest=sha256:0f4c26a9dcd385bd5434639eb1ba4f904f0d421e66d1308f8151570570209c57

Observation 57cb72d0-0881-4f43-94cc-be0274d8a201 · outbound

This paper cites A density theorem on automorphicL-functions and some applications.Trans.

Quadratic forms of modular forms A density theorem on automorphicL-functions and some applications.Trans

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.122555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.513791Z digest=sha256:c3cc47722193351318ffb98fcc1445982aaf20d6298adb668acd8ae0d9539fc6

Observation 4a605e7c-226e-4deb-865b-2eddb7c7a756 · outbound

This paper cites Quantum unique ergodicity for half-integral weight automorphic forms.Duke Math.

Quadratic forms of modular forms Quantum unique ergodicity for half-integral weight automorphic forms.Duke Math

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.095039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.519703Z digest=sha256:52b806d7d0f81c0e1aa0dfcbb9d5cf129ba5d77758937fbd2c193a4879bb9cb0

Observation 080cfe3a-2f08-4701-9d0d-28fcc942bdec · outbound

This paper cites Equidistribution,L-functions and ergodic theory: on some prob- lems of Yu.

Quadratic forms of modular forms Equidistribution,L-functions and ergodic theory: on some prob- lems of Yu

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.070864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.525223Z digest=sha256:ac05ac403202b452e6fcf706a56ce3a136e4339dc56410101e226c05d94baeb5

Observation 437683c3-9fa4-4b2b-ac5c-b5b1100d785e · outbound

This paper cites An exercise concerning the selfdual cusp forms on GL(3).Indian J.

Quadratic forms of modular forms An exercise concerning the selfdual cusp forms on GL(3).Indian J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.045770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.530673Z digest=sha256:d1b92bae14c9391e2d3661e9e717595906bd996d913427df055ed910cbf0b471

Observation aae4b4a0-71a9-49ea-97b1-94f630f7353a · outbound

This paper cites Lower bounds for moments ofL-functions: symplectic and orthogonal examples.Multiple Dirichlet series, automorphic forms, and analytic number theory,293– 303, Proc.

Quadratic forms of modular forms Lower bounds for moments ofL-functions: symplectic and orthogonal examples.Multiple Dirichlet series, automorphic forms, and analytic number theory,293– 303, Proc

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:14.021331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.536319Z digest=sha256:47db6dc0f8be97f83e999fe2d7765cdda26113c317d526ec7b464153b86c1ec0

Observation e7a78cec-d9e0-406c-a7a0-a74075cb03af · outbound

This paper cites Moments of the Riemann zeta function.Ann.

Quadratic forms of modular forms Moments of the Riemann zeta function.Ann

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:13.995901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.542189Z digest=sha256:17e644595932e26c082937fb76fccd6815a585e93b34bcf52e649bd3e017ea75

Observation 370a23ba-bc7c-47bf-8fc5-6b5b0dc7638c · outbound

This paper cites The theory of the Riemann zeta-function.The Clarendon Press, Oxford University Press, New York,1986.

Quadratic forms of modular forms The theory of the Riemann zeta-function.The Clarendon Press, Oxford University Press, New York,1986

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:13.976439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.549638Z digest=sha256:7bd764579bc586445301de5749b3ef42e8a5dc48a13c4b0726ed3a798ed3d313

Observation 87eb7a65-f341-49f8-a91e-2cd9a4d5cd24 · outbound

This paper cites Rankin Triple Products and Quantum Chaos.

Quadratic forms of modular forms Rankin Triple Products and Quantum Chaos

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T12:29:13.637362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.559455Z digest=sha256:5cd2c9bf8c4265a0a9f6835f90bb6b1cf385bf4c414ea6b413ad2f85ae36a1e7

Observation 59ff0851-ab7e-4614-89d6-a4bf41e17df1 · outbound

This paper cites Sharp bound for the fourth moment of holomorphic Hecke cusp forms.Int.

Quadratic forms of modular forms Sharp bound for the fourth moment of holomorphic Hecke cusp forms.Int

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:29:13.947835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T12:29:13.564968Z digest=sha256:75e8ce9c2d8e2789cbdbf14c41837b4bcb76f95708e95a426ab8a2862f862b11

Pith citing papers

No inbound Pith citation observations are available.