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Paper Citation Record · LEDGER

On Determinacy for Cut and Choose Games of Uncountable Length

As of 4 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.03444.

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pith.paper-citation-record.v1
2607.03444 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T02:25:31.261856Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

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Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation 2ca60c76-53d6-43e0-a259-fa8bdba5e537 · outbound

This paper cites Disjoint refinement.

On Determinacy for Cut and Choose Games of Uncountable Length Disjoint refinement

Reference 1

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Observation bf1d736c-9c2c-4c78-8ef3-5cf0be044783 · outbound

This paper cites The hyper-weak distributive law and a related game in B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length The hyper-weak distributive law and a related game in B oolean algebras

Reference 2

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:6620426d952529b73d43547375cde6723d74e44203c63346c8fa68440619436a

Observation fdac44e2-a150-4804-a1e9-8d350cc82580 · outbound

This paper cites an unresolved cited work.

On Determinacy for Cut and Choose Games of Uncountable Length Unresolved cited work

Reference 3

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:b27454e491b79d27af3c5be3ca85a25f187c6c78776e60951c4a76c842362393

Observation ccb361a7-c650-4229-bad3-389ca55c7f1e · outbound

This paper cites Notes on singular cardinal combinatorics.

On Determinacy for Cut and Choose Games of Uncountable Length Notes on singular cardinal combinatorics

Reference 4

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:a91746c2b2a39f3677b1aba759401cbb057402c3b0815000dedbc5e4cf0a9b44

Observation 120da0bb-7c18-4f0f-a0a8-9eb306d75bdd · outbound

This paper cites Iterated forcing and elementary embeddings.

On Determinacy for Cut and Choose Games of Uncountable Length Iterated forcing and elementary embeddings

Reference 5

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:df5ea0c7cc2426aa14c2b338bb972888d8d568c13f6f52edc7e461fe5e251d49

Observation 12876f7a-7f08-48ba-9f33-6180026e5bc1 · outbound

This paper cites Games and general distributive laws in B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length Games and general distributive laws in B oolean algebras

Reference 6

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:8522daf5039eb28165ed45361fa4226d6fffe16e48a2c2ccc4d1693b9b08b48f

Observation d4783e1f-dda7-441d-8043-11fa5a6205fe · outbound

This paper cites More ubiquitous undetermined games and other results on uncountable length games in B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length More ubiquitous undetermined games and other results on uncountable length games in B oolean algebras

Reference 7

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:3d164820006ef90756db15c05ac4b195b1edfc94a7c4d7adf3f8d96834f5e8fb

Observation 7dca7565-0f88-4283-b898-63e7ae4df852 · outbound

This paper cites -stationary subsets of, infinitary games, and distributive laws in B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length -stationary subsets of, infinitary games, and distributive laws in B oolean algebras

Reference 8

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:c0cb837b4057929668742a999f87e49947cfc697d2f9a96aa9a70c3e3d83e80d

Observation 18c1efaa-ce36-46b4-897c-fddbbc796289 · outbound

This paper cites Successors of singular cardinals.

On Determinacy for Cut and Choose Games of Uncountable Length Successors of singular cardinals

Reference 9

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Observation 9a413b56-fff6-4826-911d-a831c8f456a8 · outbound

This paper cites Martin's maximum, saturated ideals, and non-regular ultrafilers.

On Determinacy for Cut and Choose Games of Uncountable Length Martin's maximum, saturated ideals, and non-regular ultrafilers

Reference 10

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Observation d752c606-4d23-4ae7-8ea7-dc1552023349 · outbound

This paper cites Games played on B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length Games played on B oolean algebras

Reference 11

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Observation 69c2fd2f-8214-471e-8173-46c52bca6c0d · outbound

This paper cites Simultaneous stationary reflection and square sequences.

On Determinacy for Cut and Choose Games of Uncountable Length Simultaneous stationary reflection and square sequences

Reference 12

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Observation fc4c7ca2-5d31-4687-93b3-a8854530eff5 · outbound

This paper cites Disjoint stationary sequences on an interval of cardinals.

On Determinacy for Cut and Choose Games of Uncountable Length Disjoint stationary sequences on an interval of cardinals

Reference 13

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:610811fabf8e89f18244f8c7d74a0ce2d996b628581cb730315c8da4097684f4

Observation db79269d-ffbe-4ee1-963b-7bf9f89095cd · outbound

This paper cites Slender trees and the approximation property: H.

On Determinacy for Cut and Choose Games of Uncountable Length Slender trees and the approximation property: H

Reference 14

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:9a158eb310d472d342aa431175c08e50fedafdc12cfbd2b090beca70c2411111

Observation ef388894-2569-4c8e-8e09-e0af1ceb0d98 · outbound

This paper cites A game theoretic property of B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length A game theoretic property of B oolean algebras

Reference 15

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Observation 8dc73bcc-d385-41b4-b7c0-a3da2e008717 · outbound

This paper cites More game-theoretic properties of B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length More game-theoretic properties of B oolean algebras

Reference 16

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:7a25719c6843660706169d4c841f2db5492e09c72221d2f3dba494427beae4ce

Observation 97d1f20d-0495-4b15-89de-d1f43726281c · outbound

This paper cites Set Theory.

On Determinacy for Cut and Choose Games of Uncountable Length Set Theory

Reference 17

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:761787d03aed870f430434889f60454cf98e424809160b8260b1e411eff8fe13

Observation eebe713c-bed1-49b3-9d75-eb06b8f0a0b2 · outbound

This paper cites Elementary arithmetic.

On Determinacy for Cut and Choose Games of Uncountable Length Elementary arithmetic

Reference 18

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:2a9f62e1145cf1ff84d71680dbb7fad40d2cc9512d1c3d14c952e5072afe8f9a

Observation 44456488-8b3e-48cf-baa4-f383faac3d8c · outbound

This paper cites Set theory an introduction to independence proofs , volume 102.

On Determinacy for Cut and Choose Games of Uncountable Length Set theory an introduction to independence proofs , volume 102

Reference 19

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Observation 7bf097ff-d9a1-4dc9-b41c-812b76446a16 · outbound

This paper cites Fragments of martin's maximum in generic extensions.

On Determinacy for Cut and Choose Games of Uncountable Length Fragments of martin's maximum in generic extensions

Reference 20

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:cd06396070e18e9c7262a80fdfcf9479d2b8f871d0955e23bb6ea5eb764c3163

Observation 82a91381-c219-4e50-9b82-c845a2cc4d07 · outbound

This paper cites Separating stationary reflection principles.

On Determinacy for Cut and Choose Games of Uncountable Length Separating stationary reflection principles

Reference 21

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:946fd5f5395165763ad8c94ba4d24fe90c5eb82cf56a2d8f19defa87f5225fd5

Observation 922291e5-e60c-4a4c-8ada-104eb6041557 · outbound

This paper cites On the strengths and weaknesses of weak squares.

On Determinacy for Cut and Choose Games of Uncountable Length On the strengths and weaknesses of weak squares

Reference 22

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Observation 134aba3e-389e-484f-a704-85cd8335203c · outbound

This paper cites A mathematical axiom contradicting the axiom of choice.

On Determinacy for Cut and Choose Games of Uncountable Length A mathematical axiom contradicting the axiom of choice

Reference 23

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Observation de3ada67-0944-4d56-9e22-a402f15070a9 · outbound

This paper cites The determinacy of long games , volume 7.

On Determinacy for Cut and Choose Games of Uncountable Length The determinacy of long games , volume 7

Reference 24

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:bf37e2dd7c57bfc57eee4bb8a0d4d857e5e6ed94e5fb890fed6b0f2ddacd8e24

Observation b84488bb-e99e-4603-b599-7fca2bb50e10 · outbound

This paper cites Combinatorial principles in the core model for one W oodin cardinal.

On Determinacy for Cut and Choose Games of Uncountable Length Combinatorial principles in the core model for one W oodin cardinal

Reference 25

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:4eed398e0bdcf604a96e9b8c60ccc75cdedd10dee57e4c4f9b8cb932c71b778e

Observation 0c33879b-aff1-47d4-84d6-8ad399934a45 · outbound

This paper cites Partitioning pairs of countable ordinals.

On Determinacy for Cut and Choose Games of Uncountable Length Partitioning pairs of countable ordinals

Reference 26

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:d557933846b3f7cc106c7fa2a15725d0b80f1c519b12e105c91377f1406fbf7c

Observation a7868ab5-c63e-402d-bc63-37f22bdff620 · outbound

This paper cites Combinatorial analysis in infinite sets and some physical theories.

On Determinacy for Cut and Choose Games of Uncountable Length Combinatorial analysis in infinite sets and some physical theories

Reference 27

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:a62ec77d5d0601d3e2f805ecf72e64274d6a7a3209614c67986da728a1437b51

Observation 1a4ce659-b45c-4345-80b3-0f1b39a8b0ea · outbound

This paper cites Playful B oolean algebras.

On Determinacy for Cut and Choose Games of Uncountable Length Playful B oolean algebras

Reference 28

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:f515762527abd0e613f14fd1e4084b57ab6fedc9cf8013a9fbc13c16bea544c8

Observation e768ba2d-0c24-4a57-9629-6a06df60548f · outbound

This paper cites More on the cut and choose game.

On Determinacy for Cut and Choose Games of Uncountable Length More on the cut and choose game

Reference 29

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source=arxiv_source observed=2026-07-12T02:25:31.261856Z digest=sha256:561208f720e8246d9bf3af712aa0e6944e9e301288272e2bfc0271b5f713be65

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