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Paper Citation Record · LEDGER

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2608.13299.

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

pith.paper-citation-record.v1
2608.13299 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:29:17.951052Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy23
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a32db78c-a156-4263-a30c-ec6578fab3df · outbound

This paper cites Bombieri,On the large sieve, Mathematika,12(1965), 201–225.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Bombieri,On the large sieve, Mathematika,12(1965), 201–225

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.354680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.846303Z digest=sha256:988ff2427cbbf9173c7d04196d0b2ae1b46886d5d8f32a1d5d8af5624712d001

Observation 7c3b34c7-97c1-411a-bd80-113ba5a7a0f9 · outbound

This paper cites Bombieri, J.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Bombieri, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.345061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.850157Z digest=sha256:e937204aa415becc71dadbe83e196d826efb00fcd2dc5a1a287c6f5fd363ec8c

Observation a8f73903-7171-4c80-b427-0e876eade052 · outbound

This paper cites de la Bret` eche, C.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications de la Bret` eche, C

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.335929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.853598Z digest=sha256:4960cb725bcf6bcff07ec859706ec11d5d4c96e7c0cac1d1dcf669efa20cc217

Observation 57b17868-f8cd-42d6-b377-4c2dfc788fb5 · outbound

This paper cites Deshouillers and H.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Deshouillers and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.327489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.866584Z digest=sha256:fc862c5d1b1583e3c138d3695774a57bff17f5c68ad47ddfdc78a4c7e7e0cc88

Observation dd22aec3-dde6-4f4a-8a83-f14c047adea7 · outbound

This paper cites Ding,On a conjecture on shifted primes with large prime factors, Arch.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Ding,On a conjecture on shifted primes with large prime factors, Arch

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.318642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.870498Z digest=sha256:3168a8e3aac2558eef714bf1f2072c0c8cd8703a55505a08d315c217c57c34a0

Observation 55eec4ab-496e-4f3e-96b8-fa6197470c0c · outbound

This paper cites Ding,On a conjecture on shifted primes with large prime factors, II, Bull.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Ding,On a conjecture on shifted primes with large prime factors, II, Bull

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.307768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.873922Z digest=sha256:dece496b4046fa5f34b3cb4ecaaa4275d010dc218ec78735999d3761447799ae

Observation f1e0a21b-47c9-4dc6-b3cd-e5b7329d132b · outbound

This paper cites Ding and Z.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Ding and Z

Reference 7

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:29:18.079677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.877799Z digest=sha256:b25008188073380c930be407e898c7885c6b5b946b57b7652f5b0bf7c2c1c86b

Observation a3f77706-8d03-460c-8379-895d6f21581d · outbound

This paper cites Erd˝ os,On the normal number of prime factors ofp−1and some related problems concerning Euler’sϕ-function, Q.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Erd˝ os,On the normal number of prime factors ofp−1and some related problems concerning Euler’sϕ-function, Q

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.299036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.880874Z digest=sha256:925fd7812c6c36bc504b9e26c31ed3fa3c7f6443fa36a189903af6a409e77f0b

Observation 5f114cbd-de9d-4396-a908-2e9f53f20293 · outbound

This paper cites Erd˝ os,Some unconventional problems in number theory, Ast´ erisque,61(1979), 73–82.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Erd˝ os,Some unconventional problems in number theory, Ast´ erisque,61(1979), 73–82

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.289227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.883879Z digest=sha256:944e4310eb1679a29292c20003ee235398e7ef3c385940a0d34280b0c2e04111

Observation 26b25c75-8c83-4b00-a8d5-f098329a608d · outbound

This paper cites Erd˝ os and C.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Erd˝ os and C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.279331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.886838Z digest=sha256:f026e952e0fb8f0a8fdd90d5ceede4363ebaaf75a9a0654e45d61cb933293c9a

Observation ed3b6cbb-bfdd-4c8e-8375-e618c858d9f2 · outbound

This paper cites Friedlander and H.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Friedlander and H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.269276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.889952Z digest=sha256:5d83928c4ed5d9ce75a19b04bdea0dcc47c4697d58b5621988ddf355f1b8d055

Observation 0f3e7885-8f14-4784-9de9-fccb38117a44 · outbound

This paper cites Hildebrand,On the number of positive integers≤xand free of prime factors> y, J.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Hildebrand,On the number of positive integers≤xand free of prime factors> y, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.258994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.893227Z digest=sha256:218361189d5e64b7f9328f310449e5fee79283a995d0bc7e997a8978dae2e403

Observation aad1a5e6-a5fd-465e-a1a1-9722ba15a8d6 · outbound

This paper cites Iwaniec,A new form of the error term in the linear sieve, Acta Arith.,37(1980), 307–320.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Iwaniec,A new form of the error term in the linear sieve, Acta Arith.,37(1980), 307–320

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.245700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.896444Z digest=sha256:1b352e94f7c3d46a40ec73720d781ad3970005c8506af0f20fccb8e0a9ce1914

Observation c270bfc3-de7a-401b-9772-2ad7ee513b1f · outbound

This paper cites Jiang, G.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Jiang, G

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.236092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.899584Z digest=sha256:29b4ac3979b2df328424df28890d950f06f883aac4677b7ca1a860d862302ec5

Observation 509a3be7-98b1-430a-91a9-5c9e56b25788 · outbound

This paper cites Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T14:29:17.902947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:29:17.902947Z digest=sha256:01b47378aa7a171bce9db6b9c1b0d9451eeebe103541405f687d34da8a47408c

Observation 659f0eac-70d9-4586-a78e-90b2aa20796b · outbound

This paper cites L¨ u and Z.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications L¨ u and Z

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.226921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.906700Z digest=sha256:9ae60661a71bdb899dbce4267f78f316be258ae624af04bf830f4fe9e398e970

Observation 1f3074bf-d35d-444f-9210-8b26c137ad02 · outbound

This paper cites Maynard,Primes in Arithmetic Progressions to Large Moduli II: Well-Factorable Estimates, Mem.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Maynard,Primes in Arithmetic Progressions to Large Moduli II: Well-Factorable Estimates, Mem

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.217855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.909940Z digest=sha256:21ef85180419f6548e33b22c902e96f156f612c73375c203976c849687e3f81a

Observation b6c70569-a3ed-4ea1-82f8-37affb139480 · outbound

This paper cites an unresolved cited work.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:29:18.208733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.913213Z digest=sha256:45e48f3dd08f1a4dce5047560f084d07e4f15b3ed5e01793a29531a3bea2f8d2

Observation ab981620-e90a-4e3b-907b-990559ff26b2 · outbound

This paper cites On the exponents of distribution of primes and smooth numbers.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications On the exponents of distribution of primes and smooth numbers

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:29:17.916633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:29:17.916633Z digest=sha256:7d5fece662afb906f0a72db0355a5d08ba6f3d93d6ab5cb895789069c44da6e0

Observation b2c9898c-b208-4087-bc46-93f99060caf6 · outbound

This paper cites Pascadi,Large sieve inequalities for exceptional Maass forms and the greatest prime factor of n2 + 1, Forum Math.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Pascadi,Large sieve inequalities for exceptional Maass forms and the greatest prime factor of n2 + 1, Forum Math

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.200195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.919994Z digest=sha256:4a1c3906599ca9d8cf18394f06e89d8f027252ce8599cfd4d9c83d155f3c0ffa

Observation 3ef59028-743b-4daf-a329-b1872ca8ab18 · outbound

This paper cites Rivat,On pseudo-random properties ofP(n)andP(n+ 1), Period.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Rivat,On pseudo-random properties ofP(n)andP(n+ 1), Period

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.190602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.923575Z digest=sha256:2ae87cd96bc6f2dcc3619267e32013970ef43dd5d51ec916212ae6d34669598f

Observation 5d8b27aa-71bc-49f7-80e1-95b775171492 · outbound

This paper cites an unresolved cited work.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:29:18.181338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.926751Z digest=sha256:15ddebc118e8a7828244bfb536bc4471c11b7ee3cc9446481a61315b33f5d6d8

Observation 2fa6d386-7d04-4b63-a630-a6e2e2129881 · outbound

This paper cites Tao and J.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Tao and J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.171854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.929919Z digest=sha256:a6dabfb96a89415e8ef6000f83b7d784f8533b938564527a95a767370900cab3

Observation 86fa3cd8-c72a-4810-8d49-a0c5ecc11456 · outbound

This paper cites Tenenbaum,Some of Erd˝ os’ unconventional problems in number theory, thirty-four years later, in: Erd˝ os Centennial, Bolyai Soc.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Tenenbaum,Some of Erd˝ os’ unconventional problems in number theory, thirty-four years later, in: Erd˝ os Centennial, Bolyai Soc

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.161452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.932903Z digest=sha256:632e8f7beabb574d2b773c0d5d95c2c6378e5343c1ea78451fca29969e252ebd

Observation 79b732f1-bdd9-4a9d-ac57-e8a083d660fd · outbound

This paper cites Ter¨ av¨ ainen,On binary correlations of multiplicative functions, Forum Math.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Ter¨ av¨ ainen,On binary correlations of multiplicative functions, Forum Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.149577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.936007Z digest=sha256:0f850f62733243801fd8b25ce1989ba141238f88d52c3bc5c483fc56c27c16e4

Observation 1f02ec89-b1b6-48df-a505-b2a57d79b57f · outbound

This paper cites an unresolved cited work.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:29:18.134787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.939363Z digest=sha256:7a0eb1beb25211b107b8b25041ca3d43186638c4b7149fc4cf8e81096c049b76

Observation 004f225b-a742-4259-8c99-7255336ea5b6 · outbound

This paper cites Wang,On the largest prime factors of consecutive integers in short intervals, Proc.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Wang,On the largest prime factors of consecutive integers in short intervals, Proc

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.122369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.942292Z digest=sha256:e9e25efd9f5f2a7fd424347d59c8fe16db97a27a17efd5f2de8ef23df83896c2

Observation 24c5ac54-f69d-4a21-bb25-e342396a3214 · outbound

This paper cites Wang,Sur les plus grands facteurs premiers d’entiers cons´ ecutifs, Mathematika,64(2018), no.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Wang,Sur les plus grands facteurs premiers d’entiers cons´ ecutifs, Mathematika,64(2018), no

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.105837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.945140Z digest=sha256:60cf5cebe6392a92bc08cdf44f013688a328c0ddc1bb4bf307f498e1b69f11f3

Observation 65a6a9b0-4065-46e2-a6e9-baeb7ac34771 · outbound

This paper cites Wang,Three conjectures onP +(n)andP +(n+ 1)hold under the Elliott-Halberstam conjecture for friable integers, J.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications Wang,Three conjectures onP +(n)andP +(n+ 1)hold under the Elliott-Halberstam conjecture for friable integers, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:29:18.090576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.948296Z digest=sha256:db698358b8f1fa67ab05375239dc4b9931155af42370fff63e4da977f4943c73

Observation e7620fc6-7cf8-4b23-ab95-199ae1d69645 · outbound

This paper cites An improvement on the largest prime factors of consecutive integers.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications An improvement on the largest prime factors of consecutive integers

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:29:17.986266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T14:29:17.951052Z digest=sha256:f490a31816ccaaf691bcbf50d2ac6e4262bbcd4e7d9a7194df5d191fd8787673

Pith citing papers

No inbound Pith citation observations are available.