Pith. sign in

Paper Citation Record · LEDGER

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.11113.

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

pith.paper-citation-record.v1
2607.11113 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T06:59:13.289105Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9ee708f-b8d6-44a7-8722-b17b4592e253 · outbound

This paper cites Curious congruences for cyclotomic polynomials.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Curious congruences for cyclotomic polynomials

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:1c49e023cced2b781eb198f230d034e7ed43a6bac0e81148a2b8f8794b457d51

Observation 251f45d8-2bf8-49b0-a360-2f10ecad08a6 · outbound

This paper cites an unresolved cited work.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:ff709ab789a708bce6e3eb7e913c817ad3873963866a856e30e8c7253157b6d8

Observation 01885ac1-e837-4a4d-a7d4-2e82227aa44f · outbound

This paper cites an unresolved cited work.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:cfbd9ec41ebd602792df52598978504679b77e938f8658bf2281097b2829bb0b

Observation 70e865c5-a98e-4631-92ff-f5f0829addc3 · outbound

This paper cites On a congruence involving harmonic series and Bernoulli numbers.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products On a congruence involving harmonic series and Bernoulli numbers

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:47992e125ff68238bf4ff23e596387f2cd90a446fd1b094c2f9e2dba9a32c899

Observation 6b101b0a-6b61-4bb3-a51a-2434b2d497c2 · outbound

This paper cites Extended Congruences for Harmonic Numbers.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Extended Congruences for Harmonic Numbers

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:0579113ae06e20a1a86aa1931946e3b6b03b864cdf3fb799f6d2ef270627e75a

Observation 9fcbaef5-7843-4340-9d42-cf2679792256 · outbound

This paper cites Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:fee15c9984472ee5d01e53097085aad045b7b1a9fa1c7dcb7f58bddf90a492f3

Observation f79c4f37-1152-4fa1-9023-2fc83371d4e8 · outbound

This paper cites Congruence properties of Lehmer-Euler numbers.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Congruence properties of Lehmer-Euler numbers

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:e5d4799745fd71687968a38b091daced3e5bd695b3b6dd0d6d3c5207baedb928

Observation ad74e43c-79ef-4a72-95dc-6950c50d9ac7 · outbound

This paper cites Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:78f446c720ca9b954b00748d814bcd0d3a7b87201ffffc2f87dc36311c7a0c72

Observation 7688e173-9160-4a84-998b-ea04d7dfb1a4 · outbound

This paper cites Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:c0c66a6503e11af1dfab342422d0d8918f15a35c2b9d54429d55e266af1d3ab0

Observation 58b33219-efc2-4b23-a9f4-d7fe2eb45448 · outbound

This paper cites Some new curious congruences involving multiple harmonic sums.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Some new curious congruences involving multiple harmonic sums

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:7bd47da9e92f38fbf06d718014317f4b57c8b4b4ec91c8a206b2ac2fa5f94a3b

Observation f6e2b830-135b-491a-ac82-b8b42d00284f · outbound

This paper cites an unresolved cited work.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:0d7f291d530eb8898694721c1efb4d0550e4774bc943811ccd410578a6b45cce

Observation 8e834d23-80c6-47db-b865-9a9159d316f1 · outbound

This paper cites Chromatic congruences and Bernoulli numbers.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Chromatic congruences and Bernoulli numbers

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:f327f07f7a4ab019c6af3eeaa63f736585c1e0dd6a2229c3572703d9f4ce9827

Observation e9911d00-a331-4467-b911-54baaa53607a · outbound

This paper cites an unresolved cited work.

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:f72a984b84418870645bf7052371b137459bfd8c14f15fa6f6a52de740cd4fda

Observation 1383bf58-6075-4cec-b08c-aa21135ad303 · outbound

This paper cites A congruence involving the quotients of Euler and its applications (III).

Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products A congruence involving the quotients of Euler and its applications (III)

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-14T06:59:13.289105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T06:59:13.289105Z digest=sha256:f654040aa0e4ffec57be2c05d4a80e51d6a61a60b5b83ff2d47477e651402007

Pith citing papers

No inbound Pith citation observations are available.