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Paper Citation Record · LEDGER

A round of Pintz to celebrate oscillations in sums

As of 11 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2511.09978.

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

pith.paper-citation-record.v1
2511.09978 v4

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:42:12.104848Z

measured 41 of 41 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

41 of 41 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved41
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54bf62fd-a156-4294-ad57-09c461b56c64 · outbound

This paper cites A new zero-density estimate for $\zeta(s)$ and the error term in the Prime Number Theorem.

A round of Pintz to celebrate oscillations in sums A new zero-density estimate for $\zeta(s)$ and the error term in the Prime Number Theorem

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.634525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.634525Z digest=sha256:af03d333a2f8891d96a6ab6dcd0c5436d39952d67c9c7199c95fa6df2f063547

Observation 86b2cbcf-7f66-49a2-b7db-b5c8c99b2599 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.696620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.696620Z digest=sha256:c876e1b021427cf55de9f312939ac34db77a9de304170055353ce2bd3a960f5c

Observation 5f97c6f1-3909-421e-a774-a9c7bdf3ae21 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.766532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.766532Z digest=sha256:a43c41f3132a0510813529f5e6826ace062985640d0d168bf432025648978e2e

Observation a94fe490-863e-4b20-8fed-c36c0f56e325 · outbound

This paper cites Fiori, H.

A round of Pintz to celebrate oscillations in sums Fiori, H

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.832589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.832589Z digest=sha256:43bf039c973b8eb3e4de6cdce4aaa6c53b136b1145f87c73f998c06787e56da0

Observation 2a4debfb-5cdc-4b63-9257-62affa967d98 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.886955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.886955Z digest=sha256:6a7d529da393fa7ec2395712a60f6b8a8fc2a68d2d52cb78ec49f44dfce6a014

Observation 744f96d0-661b-4e44-9d36-ef1c8bfb5976 · outbound

This paper cites Hiary, D.

A round of Pintz to celebrate oscillations in sums Hiary, D

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.948614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.948614Z digest=sha256:7fa87f630be6ff1c7e6daa66d92b22c9d78ea8a5b3afa84d05077527c8180f77

Observation 996f41dd-66b2-4123-8c76-1c40022763cb · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.953670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.953670Z digest=sha256:4a87a3e9064215088a73246cf1c01aa6ab71375148cb544169029ab5e0a0d67e

Observation 808893a4-9462-4f8d-a4ba-d1dbcc657f9b · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.958068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.958068Z digest=sha256:00149ba817e6b6e0f0af9c6a754685f7e832cb82537ca22fb27d6aba76d515eb

Observation 6ad5bac0-15b3-4b94-acd5-dd7e371e7169 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.962374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.962374Z digest=sha256:8bf8f0a79a10dd3caac41c5cdb1d07b3df2676bac95e3db5e9c2c6a5f7039d32

Observation 58283b9f-8d05-4d23-b02d-70ad0c712b63 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.966948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.966948Z digest=sha256:5cb43e71b6e9ec46fe4f6e150a8b032fb27e7d679f9bb9ecdb01cde158e2a483

Observation 8f012b93-4a91-4591-ad73-f408a5319724 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.971436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.971436Z digest=sha256:73a13e6196219064c91a4afd25d600c3c400d4d65f98ececec1f0de1c2b382f2

Observation 0d5b573d-e731-4800-a93e-593f4f827011 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.976668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.976668Z digest=sha256:f7e4153363d9adf4123dd99224df000c423005840be01d6ef9478297bce6b2ef

Observation fff2e0b6-0b8e-4b53-96cc-87a6a79f3617 · outbound

This paper cites Kim and P.

A round of Pintz to celebrate oscillations in sums Kim and P

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.981616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.981616Z digest=sha256:187a749a5e9fa6cb289aa37255bcb451a4d273e439b417242761a62e07b9f433

Observation 411b2d64-e6cf-4ac9-adfa-4631eff8768f · outbound

This paper cites Martin, P.

A round of Pintz to celebrate oscillations in sums Martin, P

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.986064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.986064Z digest=sha256:80f56f69d210ed651cbccfa968a606f052e4682f421c5e132855ff4bbc360c13

Observation b819b18b-19e0-4704-84c3-5a409e946c18 · outbound

This paper cites Morrill and T.

A round of Pintz to celebrate oscillations in sums Morrill and T

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.990145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.990145Z digest=sha256:764df293e4bc4bcc32f9e2298943752543e59325daa926e627a0a6ebd4599a95

Observation d54a9dd8-d470-4855-8811-0932bbfa1412 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.994837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.994837Z digest=sha256:282b28f16038fdb8c57733a93e4a873ba303acdf4835afedb31c4b24e64c7eda

Observation 6082610b-15c8-4053-a794-b59f4af36671 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:11.999630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:11.999630Z digest=sha256:b1eaa878b03d2121efe064d3ad764d89612f39a1de18515d81fb515968063703

Observation 182da35e-da74-4f0e-81d9-e9c477d14b34 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.004376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.004376Z digest=sha256:47b43e13e7483ca23c78b08a39a82eea935df558aee103fbf08c4f1d778f5f10

Observation 924003d2-8002-4867-970c-d1063e654f9e · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.008591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.008591Z digest=sha256:6483293ec76b284540a50178f23aae9c782a511ad7eb89cdb0633f05de349ed3

Observation ca89c283-6c08-4404-b3f7-f3a884641dae · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.012999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.012999Z digest=sha256:14cb270d9e96e0c635b47d1a1ddd5ee35b5cd6e3966ea9a70066fe0ae170e22c

Observation 2ba9762b-3463-4935-845a-93f88da1ec2a · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.017356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.017356Z digest=sha256:ef197c5ea5e0514385a1690341a819095182a76fc5a3460f01928a93cee3d281

Observation fae4274c-3c2a-43fa-9a1b-fbce8840cd10 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.021960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.021960Z digest=sha256:5e0f0153879c667c2d47507270cd509bbf0a48a3bdd81734d0aff607baecbcc3

Observation c4a6d5d0-ab22-4204-9b7d-c26965927d7f · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.026421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.026421Z digest=sha256:7fb7cdc43ed4630c2fb7e58e1494ad819a4d094dbb6a721f513a65d7f9088d93

Observation e25aa7aa-5ab2-4f0d-97c9-2e8db0bb769f · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.031396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.031396Z digest=sha256:3f837907c8e721580d04365a6ecb4844d9b1321bcfa366d101ee66787c51578f

Observation 9cff920c-e7f0-4967-bb9c-704b6a528e6b · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.035588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.035588Z digest=sha256:43a6655785d93d584983d192eebb82293798a67214d755e106141af8b527d0d1

Observation 334e11ec-0b40-4209-a6bb-f8c7ff5295aa · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.040475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.040475Z digest=sha256:c1b659616331048f4fd6469bb85f67c8205f2016b27224cfaf84561e3cbe0cc7

Observation c615be83-28fa-4967-b092-70786b6cd4a9 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.045060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.045060Z digest=sha256:6d6f98fca1c221ea1860c39dec37991e01e25861766a18ce2f684237f6756aba

Observation 7240b214-c1ad-45a2-b4a2-dd66d32d12b0 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.049764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.049764Z digest=sha256:71db5f214d6c070d5decaba3e659fb9f64c3237c4aec867dd64338a7061664b9

Observation 3229d9ef-bf98-4b1b-86dd-2a2a1ff00a7a · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.054029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.054029Z digest=sha256:5a1c264eabd532edc14dde86bf2bd6861284b481fd2c490bf0b2f76a407868be

Observation 7e6e785c-2b26-4f17-8dc6-debd38e4c299 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.058604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.058604Z digest=sha256:ef0fc0ee77780735cfdf802e7d4a01cda2e3a90ca7fe00592ed379d6a099be83

Observation 193533f8-b9ef-4d5b-9d6c-59ef8e3ae692 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.062628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.062628Z digest=sha256:4d8e783b27ce4cf8e713e8e0f4d1113466674747b6ce80a9e0393224ea4fe0a6

Observation eebb8290-e1f2-4f0b-99f8-87759360ffd4 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.066723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.066723Z digest=sha256:a1d44be220e4eb7d7a39dd6cdad72cb53adcc5e22d343395fce7e46abb4416da

Observation c34721a9-faa5-4c65-af2f-74fd7cdef4ee · outbound

This paper cites On an assertion of Riemann concerning the distribution of prime numbers.

A round of Pintz to celebrate oscillations in sums On an assertion of Riemann concerning the distribution of prime numbers

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.070639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.070639Z digest=sha256:8fbeb89eb3b964616e86c28331b20e9f1b4629a28e5a21d0409a845e7506c46f

Observation b0b6f3e1-2c8d-4c79-beef-6264f65daf7d · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.074761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.074761Z digest=sha256:2b0c95d8628cfd58493a5bd3c89e29bf4374313214a816765d2bde72f21d9bee

Observation db28f89c-a206-4fbf-97ac-6b7db8fb569f · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.078847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.078847Z digest=sha256:b23b1a4bca0d6924647196795bef2c268f7fe0db9d318b12820e20a0fb2c55c5

Observation de87b396-3aa8-4f8c-af6e-11b814557d48 · outbound

This paper cites Platt and T.

A round of Pintz to celebrate oscillations in sums Platt and T

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.083647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.083647Z digest=sha256:090c123b6f15bcb844306282e50f71849a36f8885b56129445a3786f8f64c9c9

Observation d4e41221-4c0c-431e-85fe-e1c80835ec78 · outbound

This paper cites Platt and T.

A round of Pintz to celebrate oscillations in sums Platt and T

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.087653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.087653Z digest=sha256:d8c9e31c5f340656867db186f4a164529cf8082d823024236c0dedcc6770a2b3

Observation 13f44c3e-105f-405f-a5ce-fcbc4ae72103 · outbound

This paper cites Platt and T.

A round of Pintz to celebrate oscillations in sums Platt and T

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.091647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.091647Z digest=sha256:8aa516b2987be1e7cbeb47769b6e01b3fe45c3616f42a4d5780d122a4267c32b

Observation 4a684212-6399-4f37-b86e-f69f25046eb2 · outbound

This paper cites Rademacher.

A round of Pintz to celebrate oscillations in sums Rademacher

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.096546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.096546Z digest=sha256:c0f45b72ca3ad84a3925fe5f669149539f0ee7e15bf9219d600ad6ec1d2e02f2

Observation 5aad28bb-1283-484d-838b-d28c8bd74530 · outbound

This paper cites Saouter and H.

A round of Pintz to celebrate oscillations in sums Saouter and H

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.100673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.100673Z digest=sha256:61a47494aeca786fffb1be339d0a7fb86b032947e5afbc5f691110e43aa3c524

Observation 99a3f095-c889-44a5-9474-108a39afcdf4 · outbound

This paper cites an unresolved cited work.

A round of Pintz to celebrate oscillations in sums Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-03T22:42:12.104848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:42:12.104848Z digest=sha256:f66513d836c78a7112136e42b244267cb7af8232164c4f28a0eb691b394ca592

Pith citing papers

No inbound Pith citation observations are available.