Pith. sign in

Paper Citation Record · LEDGER

Correlations of multiplicative functions with their partial sums

As of 11 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2409.02106.

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

pith.paper-citation-record.v1
2409.02106 v10

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T21:23:40.214843Z

measured 38 of 38 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 2026-08-03T14:58:17.563054Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0adf47e9-3c6c-4bd8-8368-598cc980bb10 · outbound

This paper cites & Stark, H.M.

Correlations of multiplicative functions with their partial sums & Stark, H.M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.325367Z

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=2026-05-23T21:23:40.214843Z digest=sha256:150586a64577c0af1cf675d6d1086553d5a5e8cd68e6e968173ee9afaa64f444

Observation f666d7ca-9c03-46f7-9e29-65d98888f9e9 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.393363Z

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=2026-05-23T21:23:40.214843Z digest=sha256:45959393cabb92a2ee6637d5e41e1ace74a50641291e6f7f1e810285bb35a9c9

Observation 92b6fea0-f6db-487e-8faf-40c34f18648b · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.395899Z

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=2026-05-23T21:23:40.214843Z digest=sha256:5873346a2bf5e72af8a04852dbdfa018c921bc146db1f793f2642bf9d3c0c074

Observation 7d01a533-4b09-4aba-9feb-6b80997d67ef · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.404326Z

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=2026-05-23T21:23:40.214843Z digest=sha256:426b3b09eeda10ac6bd04a22cef124fdee6ea826ab0707527fb6e6f8965b38a0

Observation 082b3a6d-c508-45e2-8dbc-eb031d45adb9 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.399961Z

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=2026-05-23T21:23:40.214843Z digest=sha256:55bf7380006175864c90d6b78d190dd870d5cd113e888e2c766a8199ba0be653

Observation cd9a4b06-6db7-4f0c-9130-bfc8ae4c2d27 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.402109Z

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=2026-05-23T21:23:40.214843Z digest=sha256:6e1f9adfdf4bfc4bcbef581b4ab570644518a28e0fb6dee1cba86f946a200302

Observation 279fa83c-18c4-4af1-930b-191dfe1caef7 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.408934Z

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=2026-05-23T21:23:40.214843Z digest=sha256:199bf52da6d33e0aaa01079d89756e36eecd07fd61b303673b15a203a43eccb5

Observation 8d7d4bc7-a880-458a-8d22-fc6e3171245e · outbound

This paper cites & Tenenbaum, G.

Correlations of multiplicative functions with their partial sums & Tenenbaum, G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.390924Z

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=2026-05-23T21:23:40.214843Z digest=sha256:2055f8aa94eda33a786b8ebcb9017b647a4ee00982cdbca72c50f445151d66e8

Observation 5a62318a-596f-448d-993f-931cf1686915 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.384873Z

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=2026-05-23T21:23:40.214843Z digest=sha256:0490560d166e556063edcaf209d7b8388b80731ac3ce6904c7d752a6cd72c039

Observation cc76c7fa-edab-49e3-ad3b-2cef945e3da1 · outbound

This paper cites & Zhao, L.

Correlations of multiplicative functions with their partial sums & Zhao, L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.327720Z

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=2026-05-23T21:23:40.214843Z digest=sha256:bdbaeea21733878cb2aad32878acbd09579c944d5d2b2f3279546fddc97eecc2

Observation 0410c506-93f9-45d1-beeb-4a0989e33fc5 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.330223Z

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=2026-05-23T21:23:40.214843Z digest=sha256:8f00cfa0ff0937701422b0b0084435ef1c96120e6f06d74ae192013ce5ec6aca

Observation 9ff66480-ebd0-4b29-9b7e-09bf35b3fea9 · outbound

This paper cites & Tao, T.

Correlations of multiplicative functions with their partial sums & Tao, T

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.380261Z

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=2026-05-23T21:23:40.214843Z digest=sha256:0ccc40a2c2b37eba76dfad9599aeddae81b31ba7b1e4e9fb0fbf7f1f7ffc6af2

Observation cceffb48-d9a9-4e6a-8b70-4203c789c764 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.335291Z

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=2026-05-23T21:23:40.214843Z digest=sha256:4d5208880a591ad615ab5394dd7ebb9c53e96cfcf00c11c4e6f266351c8f1811

Observation 73739382-2e6e-4086-83ad-da1f64897ad2 · outbound

This paper cites & Wright, E.M.

Correlations of multiplicative functions with their partial sums & Wright, E.M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.332790Z

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=2026-05-23T21:23:40.214843Z digest=sha256:0c5fad06dd83b6015beef7dc02a556c3784fe31bef647cdf2c5a2c37c4f971c6

Observation 70271534-28f2-445d-b07e-6c0478b931c8 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.377979Z

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=2026-05-23T21:23:40.214843Z digest=sha256:e600b97d830708962bde89ac762ddba508e794a884d4e5331a23f27c3440a09f

Observation 9171f8ed-4e38-49c8-a74d-a7a708639028 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.382579Z

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=2026-05-23T21:23:40.214843Z digest=sha256:26c1499795c9937c2ea0fdbce93af559c5dd03b49b62b33d20855c3ea3fcd0a3

Observation d522a110-6826-4f2e-9f4c-e4c6ac191858 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.388482Z

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=2026-05-23T21:23:40.214843Z digest=sha256:676375daa6d97118dd1bb267c226a72afaa2e907e2b0d02de7439fed7edefd3d

Observation a6db098b-221c-4122-864c-3f5f9813eff4 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.406621Z

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=2026-05-23T21:23:40.214843Z digest=sha256:890d1a48cce0073f06006bdbb2e8bea9301bce03949b4772079212f061f8cd33

Observation e10a5168-5ea6-45cb-9286-c98eaaca5c47 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.411189Z

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=2026-05-23T21:23:40.214843Z digest=sha256:6190a825b50943ba52728c391b8986abf4a69c51a47107cc5bfb0afb2bae12b8

Observation ac8e10d7-fd1f-47f8-90f4-4e6f9b5acf6e · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.413449Z

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=2026-05-23T21:23:40.214843Z digest=sha256:7e4473c02a720479c1550e8620e9016e6416899c145d4c80b4251164947eeb3d

Observation fea5dffc-0650-4c09-8729-2a9f1e3862f7 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.366469Z

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=2026-05-23T21:23:40.214843Z digest=sha256:4dd2e5493ee6bea11acd27fd7d212f1f1a7f23538d7f316e0da804c49d7a7053

Observation cfea951e-5fed-41d9-aae5-3e11453fa2cb · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.368868Z

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=2026-05-23T21:23:40.214843Z digest=sha256:b9daa5b15a432b37f6b707a68b780b8fca6ce891d38b252e2e8823c7670a88a3

Observation 7ae107c9-e4a5-4aa4-b51f-ee7ad25bf95f · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.364080Z

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=2026-05-23T21:23:40.214843Z digest=sha256:0752d533a5b739da95804e1cbe127349d3dc28ff445d211a0ddd1af894cfd735

Observation 526029b9-b621-4b51-8bed-e8cf4e46cae0 · outbound

This paper cites & Montgomery, H.L.

Correlations of multiplicative functions with their partial sums & Montgomery, H.L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.342061Z

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=2026-05-23T21:23:40.214843Z digest=sha256:18b1ee9a862d78323fed53c84aba212f04de4b9f25ee7eac81cad596e2812ca0

Observation 5a9ec3fe-39e0-4c46-ac64-051b06f2933e · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.361850Z

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=2026-05-23T21:23:40.214843Z digest=sha256:1e58e89bfaa02ebe029824fd4e8c871d129b8adcbaf6956f487624610dd5c25d

Observation d3083c67-135c-4f1b-b724-cb258dd509c0 · outbound

This paper cites & Radziwill, M.

Correlations of multiplicative functions with their partial sums & Radziwill, M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.371204Z

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=2026-05-23T21:23:40.214843Z digest=sha256:ff234332280752748871a4ca578fadec2bd3a67f2075614c20e8df92113edd8a

Observation 8dc5aa9d-413f-416f-a152-507f07ebe3e5 · outbound

This paper cites & Rivat, J.

Correlations of multiplicative functions with their partial sums & Rivat, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.359193Z

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=2026-05-23T21:23:40.214843Z digest=sha256:bf14f56a2a914a6bc0d40c8e9c2c9ab7abec0b33eeec00c55f322577c1e6686d

Observation 265f051d-ea83-4e9a-afab-591e2f6d928b · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.375607Z

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=2026-05-23T21:23:40.214843Z digest=sha256:e1c803372d8689b55ee1b80458cf287febd51535a86e2fe24cd36ef3e68b6ab6

Observation 8695c073-56ca-469d-b883-eec58829ca98 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.339822Z

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=2026-05-23T21:23:40.214843Z digest=sha256:5b408aef7cba9dd1e877b86f2593da5a49539b7def5dc15166a5f415b16f7507

Observation 1381051c-5fb9-4d64-baef-963a625d709a · outbound

This paper cites & Soundararajan, K.

Correlations of multiplicative functions with their partial sums & Soundararajan, K

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.356538Z

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=2026-05-23T21:23:40.214843Z digest=sha256:283c275b1498ed2e9aff9f3237ef0062b039ef16562e8b6aef39f6d406bca67f

Observation 9b929665-eae6-48c1-af42-829a66d187b3 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.351961Z

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=2026-05-23T21:23:40.214843Z digest=sha256:56e3c59c87e5ccc084b2cf0517a0b24537143b776ed825f947edd70ede3d540a

Observation 82a61363-9c5f-4b13-b043-58abb47eacb6 · outbound

This paper cites & Shusterman, M.

Correlations of multiplicative functions with their partial sums & Shusterman, M

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.346814Z

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=2026-05-23T21:23:40.214843Z digest=sha256:32b880369653c3776943f5191ad01b5a8c954d38b5e6a0e5e4f0f73d505fe8cd

Observation 53d12d40-dbf0-4e19-93b3-41df4f297d29 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.354143Z

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=2026-05-23T21:23:40.214843Z digest=sha256:3f128f0b5bb97ec698f0b5a580eb18f33562e3ed56b275f86c9244bb7f8af4f7

Observation c2057c70-e4be-4e76-ac5a-f705b5f8a93c · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.373482Z

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=2026-05-23T21:23:40.214843Z digest=sha256:15cd5facb806765cb4f24e358009793db210d9295a918cc8e37a240b57a01514

Observation c43eb35a-7986-40cc-97d4-8ecde8e12e5a · outbound

This paper cites & Ter¨ av¨ ainen, J.

Correlations of multiplicative functions with their partial sums & Ter¨ av¨ ainen, J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.344421Z

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=2026-05-23T21:23:40.214843Z digest=sha256:8e8b02a108612ab4a09e4bb19926536940dfdac413ceb233d61ceec44185a95f

Observation 6b0b211a-39f4-484e-a8f0-c8d0d3e017f6 · outbound

This paper cites an unresolved cited work.

Correlations of multiplicative functions with their partial sums Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:25:52.349688Z

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=2026-05-23T21:23:40.214843Z digest=sha256:6233f99f1fe7f82eaea559116cefdcc8d77aa486b89201ffa26f2feb11c68938

Observation ec32047e-624f-4d40-ada4-193000017ba0 · outbound

This paper cites & Heath-Brown, D.R.

Correlations of multiplicative functions with their partial sums & Heath-Brown, D.R

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:25:52.337564Z

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=2026-05-23T21:23:40.214843Z digest=sha256:72094cb792b20183226c2181cf99e1e51af10f7611d113132a340dc3ae354d47

Pith citing papers

Observation f359e548-981a-4a84-9024-d0fca0b107a2 · inbound

Unimodular Fake Mobius Functions cites this paper.

Unimodular Fake Mobius Functions Correlations of multiplicative functions with their partial sums

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T14:58:17.563054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:58:17.563054Z digest=sha256:18c311d22ab905ce18f753e67e01c15e4999e2e9a2b842c30c4ae002bda062a7