Pith. sign in

Paper Citation Record · LEDGER

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach

As of 18 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2606.18866.

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

pith.paper-citation-record.v1
2606.18866 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T20:10:21.703545Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T12:36:45.357569Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation a5230b78-8f04-4919-b59c-4e78350e2744 · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:36f6303147772f1bc9eeb5a31cf411094a6554db39abd45df59826bfafddcb4c

Observation b63e57f9-47b8-4dd2-a438-e8b086cd0c02 · outbound

This paper cites Erd˝ os, A.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Erd˝ os, A

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:5ca077fea4cec29fc0f6bf4b33c73d584e40903413fb524432c94909ec18b3c2

Observation f2efdfc7-d593-4ca6-84b3-fc603690df8a · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:d84922f1917c842be5741a64c3e78521d4698b44441bbb8ecbdf35f6d90c5aff

Observation e5b88f49-2e7d-4b50-bce2-2ebd8dfb73e0 · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:acefb81148b1cf9fd8d4893bba03a0859021bf9ad09c435fb4d645b113e9ea35

Observation 2346f15c-52ee-4921-b4dc-632e3f6ae8cf · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:8e88d85825531d080183b956e9d0459b9c42bf5310d129a74134271a092027af

Observation fa7a7ef6-bee0-49ee-88ae-e25a799a4803 · outbound

This paper cites Fan and Q.-M.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Fan and Q.-M

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:c01ad0f9be6baf685206126aafb956bbae3f732801082b7f21421b550b02e009

Observation c1efdda2-6d76-4767-9077-a495b7bd0761 · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:474beedfc6d3675c52b79d8d514d4b41cdd5f39faa9bb4b9baf6d995b975168a

Observation cbd248ec-55ad-4ac6-82f0-6cce106d46bf · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:201067fb8b8c3b2b4598e5668ee4a680a7fd088d58f6d483b7c7ef696311d747

Observation 0153683f-7976-47b2-926e-4609c49bf702 · outbound

This paper cites Fang and M.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Fang and M

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:68fccddd77c6302f9e04670f7573639c345d264dbf84967d4cc35160be86aee6

Observation 2bdd13fd-7806-47e9-a811-7b927e3664b7 · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:937c7942a31fe9bafe517eef3df1f52fdeb6095393eaab8151069ed63dfb0826

Observation 78dbf039-7c70-4a85-82b0-a584cad5e958 · outbound

This paper cites Galambos.Representations of Real Numbers by Infinite Series.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Galambos.Representations of Real Numbers by Infinite Series

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:fb5af0d5ffaf975b8f6d1527f82f1bb165634286635459da5fdeb24de9f35b8b

Observation d5d522ea-15e6-45b3-b27c-7dcdea472f75 · outbound

This paper cites Grama and E.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Grama and E

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:4238a69b0bd6d0d6aafc1737a658fa68c532702d51395840424517da9d772f26

Observation 8a3abad6-01f1-4cdc-b739-42e67bd42303 · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:3826085978ee6363152e5c1c2311a5dc217bcfc319f32536513f30902825c975

Observation 292b8f8c-5139-464e-9abd-5e762bb46f7e · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:2608cb1d31133a6ec58f9e3cc81ed427582853c5a5321559bb0d77a8371c04da

Observation 9965a220-df4a-402b-8aa7-8c4d961738d5 · outbound

This paper cites Oppenheim.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Oppenheim

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:59315d07daeab9dcd82e7b5d338c05af2f527512b7089bbd06f81190641e043e

Observation bf970dbd-3c2b-44dc-a70c-91ca71c21a7f · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:5f155417b7bc7166aeec70588497d4b418597a2fdb09ab056e650963af9f2822

Observation 4c2ff9c1-de18-4e74-97bd-b855a09f2eb6 · outbound

This paper cites Williams.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Williams

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:56c4c052b18812db7a81a1e52b75dcc17f056fad262386db7d64e8f8a6994db8

Observation 83274268-db50-4664-9909-b10ac991ad1f · outbound

This paper cites an unresolved cited work.

Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-26T20:10:21.703545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T20:10:21.703545Z digest=sha256:542df001a04297565760bc7ecd9da1e121d2fa2627ddd129a39de9a8886bb2e9

Pith citing papers

Observation b633fad0-0294-4ccc-a918-84f1f869788f · inbound

Functional Limit Theorems for Random Least Common Multiples cites this paper.

Functional Limit Theorems for Random Least Common Multiples Cram\'er-Type Moderate Deviations for Engel's Series via a Martingale Approach

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-07-10T12:37:04.042016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-10T12:36:45.357569Z digest=sha256:38bfb83dfd933358e80f283b7877d8a51b6fa259124b7d127375cd3f560c3920