Paper Citation Record · LEDGER

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control

As of 5 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.28387.

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

pith.paper-citation-record.v1
2607.28387 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T04:34:25.348729Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

34 of 34 outbound references displayed

verified exact3
verified fuzzy13
unresolved17
parse uncertain0
malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc1e269d-27cd-4f43-b3eb-d1fdf57243d0 · outbound

This paper cites Aho and Neil J.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Aho and Neil J

Reference 1

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-05T04:34:26.075445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 55337dae-cfa1-48d0-9c53-4bd746874ede · outbound

This paper cites On representations by Egyptian fractions.Rev.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control On representations by Egyptian fractions.Rev

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:28.662480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ca04d497-f5c2-44b4-8a22-0bc3b4b73101 · outbound

This paper cites Princeton University Press, Princeton, NJ, 1957.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Princeton University Press, Princeton, NJ, 1957

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:28.439559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9e8187fa-e4b5-4cfa-a84e-65ab9b4a6c54 · outbound

This paper cites an unresolved cited work.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:34:28.271406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation bbd69d1c-69a6-491e-8bf5-c5270606fe97 · outbound

This paper cites Bloom and Christian Elsholtz.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Bloom and Christian Elsholtz

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:28.213431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 69075cf5-d1af-422a-af42-cee6cb0e70d8 · outbound

This paper cites Burkholder.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Burkholder

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:23.075052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef326fda-43f6-4fc9-b75c-7e47b2cad316 · outbound

This paper cites Approximation by Egyptian fractions and the weak greedy algorithm.Indag.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Approximation by Egyptian fractions and the weak greedy algorithm.Indag

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:23.163660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef6f59fa-8919-4f4c-86f7-3e86e186a27b · outbound

This paper cites A threshold for the best two-term underapproximation by Egyptian fractions.Indag.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control A threshold for the best two-term underapproximation by Egyptian fractions.Indag

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:23.249122Z

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Unavailable: canonical work link unavailable.

Observation 3f725d4b-a9b0-416f-80e4-1b2880a1cfa9 · outbound

This paper cites an unresolved cited work.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:23.314957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcd8936f-3e51-4759-a59e-23ae5b2f1254 · outbound

This paper cites Ten algorithms for Egyptian fractions.Mathematica in Education and Research, 4(2):5–15,.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Ten algorithms for Egyptian fractions.Mathematica in Education and Research, 4(2):5–15,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:27.803571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation d63e309a-f59b-4ba2-985b-3c06f719d6fb · outbound

This paper cites On a Diophantine equation.Mat.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control On a Diophantine equation.Mat

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:27.432146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 28dc9da4-868b-4581-af17-fb1f745aa3f7 · outbound

This paper cites Graham.Old and new problems and results in combinatorial number theory, volume 28 ofMonographies de L’Enseignement Math´ ematique.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Graham.Old and new problems and results in combinatorial number theory, volume 28 ofMonographies de L’Enseignement Math´ ematique

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:27.257971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 56be6baf-30ad-4cb9-a416-35da7edfb95a · outbound

This paper cites The ergodic properties of the denominators in the Oppenheim expansion of real numbers into infinite series of rationals.Quart.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control The ergodic properties of the denominators in the Oppenheim expansion of real numbers into infinite series of rationals.Quart

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-05T04:34:23.778483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1140d37-9a19-404a-847a-f9feecd22d76 · outbound

This paper cites an unresolved cited work.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:23.845994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c30de3aa-9c38-467b-9842-ed9fbc175f16 · outbound

This paper cites Graham, Donald E.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Graham, Donald E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:27.092684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7ec192e6-a570-4b3c-a0e9-993d255aca3f · outbound

This paper cites Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T04:34:25.692718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a45414af-f8a3-4256-b090-4b03b275bb9e · outbound

This paper cites Sur une in´ egalit´ e relative aux fonctions convexes.Publ.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Sur une in´ egalit´ e relative aux fonctions convexes.Publ

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:26.951657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a96d8816-bfcb-45a3-9215-ad0a72ed3602 · outbound

This paper cites an unresolved cited work.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:34:26.813996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 31f87c23-ee49-47c9-9260-30025d4bef1b · outbound

This paper cites On eventually greedy best underapproximations by Egyptian fractions.J.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control On eventually greedy best underapproximations by Egyptian fractions.J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:24.353991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9cdd321-1238-4866-a51f-b0f040de3835 · outbound

This paper cites Generalizing a conjecture of Erd˝ os and Graham via best Egyptian underap- proximations.Acta Math.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Generalizing a conjecture of Erd˝ os and Graham via best Egyptian underap- proximations.Acta Math

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:24.450874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7adfc946-3b83-43c0-8c01-f8802e98632e · outbound

This paper cites On a conjecture of Erd\H{o}s and Graham about the Sylvester's sequence.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control On a conjecture of Erd\H{o}s and Graham about the Sylvester's sequence

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-05T04:34:25.564662Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5677602d-296d-472e-ac31-192612ec15c0 · outbound

This paper cites an unresolved cited work.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:24.655861Z

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Unavailable: canonical work link unavailable.

Observation e7f7939a-243f-4751-94f9-cec135a8f018 · outbound

This paper cites Nathanson.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Nathanson

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:24.743632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 858e172f-7f55-4b28-a2a7-5ef218148edf · outbound

This paper cites Nazarov, Sergei Treil, and Alexander L.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Nazarov, Sergei Treil, and Alexander L

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:26.661420Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 069fd40d-cf42-4ca0-ade3-652d42b9da7c · outbound

This paper cites Arthur Robinson, Jr.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Arthur Robinson, Jr

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:24.884912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a35aa9a9-f72a-4966-9a38-0b159a433658 · outbound

This paper cites Erd˝ os’s work on finite sums of unit fractions.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Erd˝ os’s work on finite sums of unit fractions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:26.534004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation df114bd1-5b88-4adf-a4da-6659b56c6435 · outbound

This paper cites Sigler.Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Sigler.Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:25.020390Z

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Unavailable: canonical work link unavailable.

Observation ef3a44fb-0e7a-4dab-90ac-9c2fec11ef7d · outbound

This paper cites Approximating 1 from below usingnEgyptian fractions, 2005.arXiv:math/ 0502247.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Approximating 1 from below usingnEgyptian fractions, 2005.arXiv:math/ 0502247

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:26.409807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f359411f-4187-412a-bdaf-71e68a49e12e · outbound

This paper cites Sylvester.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Sylvester

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:25.162611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80fe9755-fdf6-4fff-b653-4361f337dcd9 · outbound

This paper cites On an indeterminate equation.Proc.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control On an indeterminate equation.Proc

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:25.241981Z

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Unavailable: canonical work link unavailable.

Observation ad1a364a-e713-4aac-96bf-d46b6d7c9460 · outbound

This paper cites Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1991.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1991

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:26.247737Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 67764819-c312-412c-a4f0-e69588a70122 · outbound

This paper cites Cambridge University Press, Cambridge, 2020.doi: 10.1017/9781108764469.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Cambridge University Press, Cambridge, 2020.doi: 10.1017/9781108764469

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T04:34:25.348729Z

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Observation b5781d8d-0fe9-43e6-87dc-12d6833d7d35 · outbound

This paper cites URL:https://ics.uci.edu/ ~eppstein/numth/.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control URL:https://ics.uci.edu/ ~eppstein/numth/

Reference 1995

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T04:34:27.581990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2c01b1bf-b77f-4440-8861-a5184dd5da77 · outbound

This paper cites an unresolved cited work.

Eventually greedy best Egyptian underapproximations of rational numbers via optimal control Unresolved cited work

Reference 2022

Resolution: unresolved; raw_fallback, observed 2026-08-05T04:34:27.991912Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

No inbound Pith citation observations are available.