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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.846303Z digest=sha256:4fc151aeb15f4c3dc4c15b244ae4b738299a23df878a02a0fa2d1baeb1c2aec3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.850157Z digest=sha256:89bbf5d6035e24e821e3d8a831ab94d44395fae9d3235c2e574c5c10d34834a9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.853598Z digest=sha256:b921b14733edd7aa29e2a3a604015e1a40f9eb811782108abfebf495d00b8639

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.866584Z digest=sha256:f7cef26a25c0f38bc268a6c500b52829f978994635a02cd87f14905ba655ab7f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.870498Z digest=sha256:47a59cfd0d81b4d9021dae454037216925f218d2478e2d1d375dd575e2dfc66d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.873922Z digest=sha256:891aee76f0ee112d31940cd23c6f67299b07d3dcaaa4e43452349ea1c975ba16

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.877799Z digest=sha256:22762cb39edf4030c3fb9120f908f4d37a11984aeaa5374cbc31c999ebeef94a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.880874Z digest=sha256:29ce7cfbe8805101dc08fe2a726f01110f168d3b800746d67ae3a80ea32279aa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.883879Z digest=sha256:b56b5d792fdc7a8ae788c55882ae7c40210eaad9855290150ad1f08305e82cc3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.886838Z digest=sha256:5def1bfd204a9172f1be266d46b149c476b219c9ec9abee86a9c2241725a9bfc

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.889952Z digest=sha256:c66f3c9257105917c29d23c2b58a63a3ee9ed3ba8be1f44fd200b4cf50d4e2e1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.893227Z digest=sha256:5cb4905939bd6b031e39c026f2b43db131297bd60d78520084aed5b50c3db82a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.896444Z digest=sha256:0c0340de0bb3519f2b8921cf0afc06445682fe415981ad03fa575152188233d8

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.899584Z digest=sha256:c607623349ec8d4f186800c435e47da154ad38ce9576fc6b20965dc4994dbabd

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=sha256:0767989c83064cfba494289bb7fbedf466368a2feda35265e51bc144da8c8cfb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.906700Z digest=sha256:3cbeec0370c3d2ae288ca8f7da23375f228081049c186f7df2dfb1d185886fe9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.909940Z digest=sha256:88536a6ec8d8c5058109a135d2231aa9c78a059aa4a05b22fabf581c24bc9b4e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.913213Z digest=sha256:c0fd4cbbb4a94a7363a53dff619db98c6bd622139c54c0ef1a1069e010380787

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=sha256:07892dac14fce96263dcbee2062701e752c31a938c48d9aa10c47be009ef19d5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.919994Z digest=sha256:8d52677cd4717fd486211cd022083e314be4a02df60842f140e93f83f061e01f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.923575Z digest=sha256:fb5eda13e3fc485dbfb11e79a98759b53ead171d6e8bcc1297a193f1256b6ce6

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.926751Z digest=sha256:e62affadb906ca981f366fcead66207d61f048902c959fbd6d1768dfc5321cea

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.929919Z digest=sha256:1dfd1b10b2a03643c5d82f9c7c3aa8b686e8dc078593e8b4c9a729a921bf3099

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.932903Z digest=sha256:5abcf905fd1d7370dd06a34611d2334136d84b3389aed27d288abd9040bac4fa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.936007Z digest=sha256:9bb6ab880e51161c742d303ad2e7f9395e8ee49a9847f146e0db21fbe36fd9e5

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.939363Z digest=sha256:a6d606b1836c3425ce294da3b9ec5170ff74a4650ae249fc2b520677e52fee2d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.942292Z digest=sha256:cb87fe292003fb59434999af0fdfedb2dc7de0c6cf1a706068f6e8a2c7e882bb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.945140Z digest=sha256:54552672be20267faee9bcef6ce07b101a06338f6cbae861ad4e955448af9baa

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.948296Z digest=sha256:21a6550ea66c54f7668f6c30bbe030191c23d375049185b55c6425b2545ec128

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T14:29:17.951052Z digest=sha256:c9bee30c674783ef0d52e08d94214fb6efa5abfae9db109c401611378f5728fd

Pith citing papers

No inbound Pith citation observations are available.