Pith. sign in

Paper Citation Record · LEDGER

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights

As of 11 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.09110.

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

pith.paper-citation-record.v1
2607.09110 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T05:21:04.417474Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved28
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 479c8288-4411-4517-bae0-bd5d1aa65eb9 · outbound

This paper cites Bănescu, D.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Bănescu, D

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:fe9c3c2fe19d52a80ef5fd93753d04d096925f7eafa718f0f1b7a07c738d16c0

Observation 046c0da4-8a32-472c-8050-00c2f2cd5e64 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:5f6b36f1381244251f320d7777cd5c0884f0a493f3ace70010b96bf01c868e8d

Observation 884e1e1c-0f9a-4c41-b097-32724b585983 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:af49a189cc3c12407d5830efbd1b163540671a03f7c5f62cfd29480d9b8d84e8

Observation 63328d44-c829-4e09-93f5-d2af789b91fa · outbound

This paper cites Cantarini, A.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Cantarini, A

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:c7982828eafaad5745417c248623d0ca38d304390dd501e0832af327e9bb0966

Observation de2555c2-ac1d-4de2-bda7-12ffa2bc9195 · outbound

This paper cites Chemin, Fluides parfaits incompressibles, Astérisque, 230.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Chemin, Fluides parfaits incompressibles, Astérisque, 230

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:f9a53c49a87daccfbc913569b8fc161fa60b1da622c77cdb57130481d6295e42

Observation b416e607-d4ab-4d7c-898b-9552a8a93aea · outbound

This paper cites Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, Scientia Sinica.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Chen, On the representation of a large even integer as the sum of a prime and the product of at most two primes, Scientia Sinica

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:687f63765be563ff02cac49ad63badbb6f0500291798daa9203e5ccfdaaf11c5

Observation 37b23e6e-b4e6-490b-813a-e775ca8777bd · outbound

This paper cites Davenport, Multiplicative Number Theory, volume 74 of Graduate Texts in Mathematics.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Davenport, Multiplicative Number Theory, volume 74 of Graduate Texts in Mathematics

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:3e4585b3fcb05a461b82406420ef4aa150d50f2d01190c155af89a9026167bc7

Observation b4711c71-95ce-465f-a203-705eae14973d · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:e0cd343c010857f10a9b89d9c052ed141bd269bef9dfa9193fba368ab0469a6f

Observation c9f6ba36-eda1-4bc1-bc45-d8d3b18014a0 · outbound

This paper cites Friedlander, H.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Friedlander, H

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:88d83d3e6c0f1ccd2e35590ef413da57f073f320987d6b5c6220e5d0afedbabe

Observation 55a581bb-bc3f-4a0b-b265-4de0170c812d · outbound

This paper cites Friedlander, H.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Friedlander, H

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:0ee65af77f634255e3a44b4c8247bbe4e3275442d0d805f0c49e2d520f04c816

Observation 6d09f358-3a94-4126-846f-2af8637e238d · outbound

This paper cites Gonek, On negative moments of the Riemann zeta-function, Mathematika 36 (1989) 71–88.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Gonek, On negative moments of the Riemann zeta-function, Mathematika 36 (1989) 71–88

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:23b1a94e075a1fdf5653fcdf7104024d23b4eb41ad53fe2fab3a8129bce45e3e

Observation a9116afc-e4c5-4d8d-b9d2-8e8ac026bee1 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:082590e04c5a3294cd6fbef199622cd41779f49ae1fd77fed205e70281207a08

Observation 70231761-2c07-4fdb-b2e1-8c5b46f576b7 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:dc7459b119037809b5812f497b1db592b764457d565e24e05cd5e7438a09845c

Observation 851d3a4a-3787-4bfd-b897-77c5742231f5 · outbound

This paper cites Hughes, J.P.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Hughes, J.P

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:2ca02e5db40f8290a0d1fcb599ef4e51ba9f1c6672334985279390f67aa2ae55

Observation 4bfab2ad-0ef8-413e-a30c-e6fc86064b72 · outbound

This paper cites Humphries, The distribution of weighted sums of the Liouville function and Pòlya’s conjecture, Journal of Number Theory 133.2 (2013), 545–582.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Humphries, The distribution of weighted sums of the Liouville function and Pòlya’s conjecture, Journal of Number Theory 133.2 (2013), 545–582

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:c8dc22c08b621bfc61452af97cfde04f7e2441c496fddad7360996bcf0212628

Observation 2cc0cef4-b4b5-4380-ad35-ca2ce09246bd · outbound

This paper cites Iwaniec, H., E.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Iwaniec, H., E

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:be4d0130560227d9ccb393e4a46149602e948c728579783cf765d1f40d5a3759

Observation d76f51e7-93b6-401d-b097-0814b33117c0 · outbound

This paper cites Kiuchi, Y.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Kiuchi, Y

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:17c7b9d546c4acf6f6c285db0041fa4da65f77d2720c39ce1628154325bb3711

Observation 2fb265ad-cf7c-4d5f-8cf8-175eb306b6b4 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:cd08f67dbf5762d396735c7863bde56daa075ef53bee59f071bb17e2392ffa91

Observation d10b288b-6d1e-4a30-b63c-5b568e1f0fc4 · outbound

This paper cites Some discussions on the Goldbach conjecture.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Some discussions on the Goldbach conjecture

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:9cdc697881e2738cbfbae328541fd377166743d6da3b8b3d7da7587f64b56235

Observation 4109d177-5adb-4d02-a3cf-e27760d58b07 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:61d3d1801d33881d1e079b8a88c31877826e34db85a050caa243aa4c5c170c6f

Observation 0989f009-a061-4bc3-825c-03cd9b59e659 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:03a08ad2fd5f71ee7941c767dc0eb73f80d88b53db4764814306ec70e8c3351f

Observation bbd31c1d-1581-4899-8960-7235fd897649 · outbound

This paper cites Ng, The Distribution of the Summatory Function of the Möbius Function, Proceedings of the London Mathematical Society 89 (2004), 361–389.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Ng, The Distribution of the Summatory Function of the Möbius Function, Proceedings of the London Mathematical Society 89 (2004), 361–389

Reference 22

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:e90c15bbc6e932b991d88c5dc3de22ec221d85b2f186484362d12c7a5bc47ec5

Observation 7ba2b602-5529-4620-8e5b-a8cc7b4e37ac · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:4d540a828a0af898d6aac2af2f43abbafa85f159603926e8f1e86b6f2662536f

Observation 034af3e1-1839-4b53-a520-31fbb8011ac2 · outbound

This paper cites Pan, A new attempt on Goldbach conjecture, Chinese Annals of Mathematics, 3(4) (1982), 555–560.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Pan, A new attempt on Goldbach conjecture, Chinese Annals of Mathematics, 3(4) (1982), 555–560

Reference 24

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:abf072bb53b6e378153ff30133cd32ea83bacc8715f47b6687d7d1085d65a684

Observation 20d26a48-097d-47d9-a0e8-b243dd0a63a6 · outbound

This paper cites Pintz, An approximation to the twin prime conjecture and the parity phenomenon, Indagationes Mathe- maticae.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Pintz, An approximation to the twin prime conjecture and the parity phenomenon, Indagationes Mathe- maticae

Reference 25

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:930514fdd2b3e608f82418ea41c31c251f79175cffcd29f64d17b86eac7e5583

Observation 9cb26dd4-4756-4758-a82f-313d8edd210e · outbound

This paper cites Rainer, Hölder–Zygmund classes on smooth curves.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Rainer, Hölder–Zygmund classes on smooth curves

Reference 26

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:f5c3360307e22ae8d1cf7a874c1b157a44bc74da4ca8cd3bbec5c8efa7aadf83

Observation 6637a5ec-0930-41cd-a74f-894150d0b8d6 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:c418feaa3084167a570845e059f71167ccd1977f347d566272553dc26520c8ec

Observation 7efad41f-a03d-469e-8840-2053e7e0a8f2 · outbound

This paper cites an unresolved cited work.

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-07-13T05:21:04.417474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T05:21:04.417474Z digest=sha256:e1df12756f5e1e9d307e86cb6954e46760a76fcabec3baf6467ce1be80700152

Pith citing papers

No inbound Pith citation observations are available.