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Paper Citation Record · LEDGER

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.26403.

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

pith.paper-citation-record.v1
2607.26403 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:45:25.084238Z

measured 18 of 18 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

18 of 18 outbound references displayed

  • verified exact10
  • verified fuzzy0
  • unresolved6
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abf9a7b6-d2a1-4155-ba0c-e45ea7ff1117 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-01T16:49:14.175636Z

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=2026-08-01T16:45:25.026150Z digest=sha256:83db23179d74f0b07d87cf94b7957819c1427c1366bef98810eaea7bb905e0e9

Observation cd0a1ab8-135e-41ab-a2f8-a2955b2e924d · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-01T16:49:14.035219Z

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=2026-08-01T16:45:25.029596Z digest=sha256:6c07f42c0a679dead134263cd3af455d5a2a12d979adad79f773343fb2eee9d4

Observation d9b71df8-3ff7-4d2a-a431-a930fe97c37d · outbound

This paper cites Bayad and J.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Bayad and J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T16:45:25.032542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.032542Z digest=sha256:61decebf3bd65451f4aec48b942ac0121ed5f24ac408092100de1dd0d2cdccb3

Observation 30555421-6a35-42d9-870c-fae04496ee43 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 4

Resolution
malformed identifier
no resolver link, observed 2026-08-01T16:45:25.035763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.035763Z digest=sha256:eeb4efc431c6c8ba7ebb12f2588e3b501bc40d05b93795c9f09368c3a5bb17a0

Observation a7265874-e372-44a5-a720-29786242f782 · outbound

This paper cites Choi and R.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Choi and R

Reference 5

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.922550Z

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=2026-08-01T16:45:25.039013Z digest=sha256:15f48772d3543e91b32a326092685beb6165c5e8d38ff7bbf4595bfa68b77b8d

Observation 98abef5e-bc6f-4add-9d9b-ff017ec53975 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T16:45:25.044560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.044560Z digest=sha256:1f94cbe2d172831f6697e3b6dc6e2fdb3c2178bea16ba58714f7238c9884107a

Observation 894ae085-0ccc-43b3-b2ac-0070c1f3e739 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 7

Resolution
malformed identifier
no resolver link, observed 2026-08-01T16:45:25.049697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.049697Z digest=sha256:e62fca09a97fd3f3473b519b41f07c8c4e8b17992c3a3093e6b6d9da3ada13eb

Observation 2c570840-22af-4569-b6c9-7b8101e9649e · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T16:45:25.052726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.052726Z digest=sha256:2937d2897e9af5bd727f13916dd687d068a64ec790883b370b25af76be959707

Observation e0910ab1-3146-418d-a10a-b513397178b8 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 9

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.839614Z

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=2026-08-01T16:45:25.055894Z digest=sha256:0228be244fba4ba7b50dd7f40cbe0a355c87fe7e125f9c092cafa9db0da795a7

Observation 7091b98b-ec23-4e08-bece-7603e0b10ee8 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.754608Z

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=2026-08-01T16:45:25.058952Z digest=sha256:08cf57ebdc509547ec414713969c33af9d2ade893332bd2e8adeef036d97c9c3

Observation 4d1b8a5d-1c4c-426f-9ba2-5526d4c012f7 · outbound

This paper cites Laurincikas and R.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Laurincikas and R

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T16:45:25.062106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.062106Z digest=sha256:0cb0cc718a0454c79dbe9253c5ce27f1ffc05c06eb6acc3c954eaf8fe46e2e06

Observation f744309a-e682-4de2-8cc5-02cfb36e3a85 · outbound

This paper cites Lerch, Note sur la fonctionK(w, x, s) =∑∞ k=0 e2kπix(w+k) −s.Acta Mathematica,11 (1887), 19–24.https://doi.org/10.1007/BF02612318.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Lerch, Note sur la fonctionK(w, x, s) =∑∞ k=0 e2kπix(w+k) −s.Acta Mathematica,11 (1887), 19–24.https://doi.org/10.1007/BF02612318

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T16:45:25.064795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.064795Z digest=sha256:c2f9d57ef1a6df5c5c6186c8253b4b6a4a52fb72273a599cef757c5592742104

Observation df02fea6-fe48-498c-b14e-6f4cd35a2158 · outbound

This paper cites Nadeem, T.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Nadeem, T

Reference 13

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.629617Z

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=2026-08-01T16:45:25.068443Z digest=sha256:23ef7454027ee43111e2d36c28b038e8a4ef259c498f3615a040496e0a7c6858

Observation 61e11581-6d67-44ac-a3ce-9154787efe82 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 14

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.536168Z

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=2026-08-01T16:45:25.071411Z digest=sha256:cf28efa113c4f2f1ffd2caae7b65be431e56803b528c0b3fe287a64d438bd550

Observation cacaab33-7dbc-45c5-adaf-4676e4149fe3 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 15

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.395561Z

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=2026-08-01T16:45:25.074895Z digest=sha256:c6ec25d4e71290acf180f738696e0d8fc35dbbd56e261eafd68263ab6ea7908a

Observation 0c7e13cd-9782-41a6-a76e-13aef337a47d · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T16:45:25.078213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:45:25.078213Z digest=sha256:a8f08551b5ff6788a3aa99d20814d48253a38fadcdd4a0412778777b47b8aa49

Observation 29ea4dbb-f9f3-4e49-87d3-d7ff461ea72f · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 17

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.267914Z

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=2026-08-01T16:45:25.081012Z digest=sha256:c11dfb4f5d91aa57c308cba4f4634e6df6ed901470238c505c1d98f54b831053

Observation 0de24962-c7c4-4f06-99e0-2118b9bcd758 · outbound

This paper cites an unresolved cited work.

An Invertible Family of Hurwitz--Lerch Type Functions Associated with $k$-Augmented Centered Triangular Numbers Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-01T16:49:13.185723Z

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=2026-08-01T16:45:25.084238Z digest=sha256:58e72ff895d0fce49a03dd5abf689f9184ea759348f8e86e3478d1c49413e464

Pith citing papers

No inbound Pith citation observations are available.