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Paper Citation Record · LEDGER

Classification of horospherical invariant measures in higher rank: The Full Story

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2601.22668.

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pith.paper-citation-record.v1
2601.22668 v2

Coverage vector

measured 59 of 59 reference resolution

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measured 59 of 59 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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59 of 59 outbound references displayed

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Outbound references

Observation 40a84d3d-dee1-4e27-8a16-675a8b5497e5 · outbound

This paper cites Arzhantseva, Christopher H.

Classification of horospherical invariant measures in higher rank: The Full Story Arzhantseva, Christopher H

Reference 1

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Observation d9a19d9b-50c0-468c-a225-b8ba414982e1 · outbound

This paper cites Invariant measures and asymptotics for some skew products.

Classification of horospherical invariant measures in higher rank: The Full Story Invariant measures and asymptotics for some skew products

Reference 2

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Observation 057973ff-5b9f-4c02-b0a4-f9cf27eace07 · outbound

This paper cites On the classification of invariant measures for horosphere foliations on nilpotent covers of negatively curved manifolds.

Classification of horospherical invariant measures in higher rank: The Full Story On the classification of invariant measures for horosphere foliations on nilpotent covers of negatively curved manifolds

Reference 3

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Observation 1c0aaf96-8855-4707-a1fa-cddd9ebda29a · outbound

This paper cites Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups.

Classification of horospherical invariant measures in higher rank: The Full Story Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups

Reference 4

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Observation e7902c61-305e-4e41-ac16-d8b585b0535f · outbound

This paper cites Patterson-Sullivan theory for coarse cocycles.

Classification of horospherical invariant measures in higher rank: The Full Story Patterson-Sullivan theory for coarse cocycles

Reference 5

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Observation 2a9659eb-b4bb-4e99-abf8-b203371e9a27 · outbound

This paper cites an unresolved cited work.

Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 6

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Observation 46800c12-b793-4aba-8e45-cae7874f1464 · outbound

This paper cites Propri\'et\'es asymptotiques des groupes lin\'eaires.

Classification of horospherical invariant measures in higher rank: The Full Story Propri\'et\'es asymptotiques des groupes lin\'eaires

Reference 7

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Observation 4ef89053-72b3-468a-ab33-c98389ab1530 · outbound

This paper cites Bridson and Andr\'e Haefliger.

Classification of horospherical invariant measures in higher rank: The Full Story Bridson and Andr\'e Haefliger

Reference 8

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Observation 378dbf49-e9aa-4339-8b92-8bfadb0102fb · outbound

This paper cites Geodesic paths and horocycle flow on abelian covers.

Classification of horospherical invariant measures in higher rank: The Full Story Geodesic paths and horocycle flow on abelian covers

Reference 9

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Observation 8f095706-d078-4ee3-906a-da84c9901c7a · outbound

This paper cites The H opf- T suji- S ullivan dichotomy in higher rank and applications to A nosov subgroups.

Classification of horospherical invariant measures in higher rank: The Full Story The H opf- T suji- S ullivan dichotomy in higher rank and applications to A nosov subgroups

Reference 10

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Observation 93c5f3df-378b-4bba-a1c1-72322778601e · outbound

This paper cites Equilibrium states and the ergodic theory of A nosov diffeomorphisms , volume 470 of Lecture Notes in Mathematics.

Classification of horospherical invariant measures in higher rank: The Full Story Equilibrium states and the ergodic theory of A nosov diffeomorphisms , volume 470 of Lecture Notes in Mathematics

Reference 11

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Observation 5d1f5f0a-3134-48be-83d3-e8f8bfc7c3c0 · outbound

This paper cites Random walks on reductive groups , volume 62 of Ergebnisse der Mathematik und ihrer Grenzgebiete.

Classification of horospherical invariant measures in higher rank: The Full Story Random walks on reductive groups , volume 62 of Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 12

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Observation 48344246-570e-45e6-871e-fb368ef49efb · outbound

This paper cites Horocycle flow on geometrically finite surfaces.

Classification of horospherical invariant measures in higher rank: The Full Story Horocycle flow on geometrically finite surfaces

Reference 13

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Observation 8b889597-d484-4227-8a95-3de0235c70f1 · outbound

This paper cites Genericity of contracting geodesics in groups.

Classification of horospherical invariant measures in higher rank: The Full Story Genericity of contracting geodesics in groups

Reference 14

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Observation a8d5fb0c-a5c3-4049-82e1-4bec01d297dc · outbound

This paper cites Coornaert, T.

Classification of horospherical invariant measures in higher rank: The Full Story Coornaert, T

Reference 15

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Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 16

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Observation c89522a8-c395-4fa2-818d-4c798a09bfca · outbound

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Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 17

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Observation 321411a4-8b58-410f-8bf8-f59dd443b405 · outbound

This paper cites Patterson- S ullivan theory for groups with a strongly contracting element.

Classification of horospherical invariant measures in higher rank: The Full Story Patterson- S ullivan theory for groups with a strongly contracting element

Reference 18

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Observation 453d8bb4-0a99-4aea-a3d3-aa40e89ed6a6 · outbound

This paper cites Cusped H itchin representations and A nosov representations of geometrically finite F uchsian groups.

Classification of horospherical invariant measures in higher rank: The Full Story Cusped H itchin representations and A nosov representations of geometrically finite F uchsian groups

Reference 19

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Observation 76596e24-31c1-4df4-8b3a-d3bbb803b5eb · outbound

This paper cites Patterson- S ullivan measures for transverse subgroups.

Classification of horospherical invariant measures in higher rank: The Full Story Patterson- S ullivan measures for transverse subgroups

Reference 20

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This paper cites Patterson- S ullivan measures for relatively A nosov groups.

Classification of horospherical invariant measures in higher rank: The Full Story Patterson- S ullivan measures for relatively A nosov groups

Reference 21

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Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 22

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Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 23

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Classification of horospherical invariant measures in higher rank: The Full Story Anosov groups: local mixing, counting and equidistribution

Reference 24

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This paper cites The unique ergodicity of the horocycle flow.

Classification of horospherical invariant measures in higher rank: The Full Story The unique ergodicity of the horocycle flow

Reference 25

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This paper cites Le bord d'un espace hyperbolique.

Classification of horospherical invariant measures in higher rank: The Full Story Le bord d'un espace hyperbolique

Reference 26

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Classification of horospherical invariant measures in higher rank: The Full Story Anosov representations and proper actions

Reference 27

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Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 28

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Classification of horospherical invariant measures in higher rank: The Full Story Anosov representations: domains of discontinuity and applications

Reference 29

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This paper cites Conformal measure rigidity and ergodicity of horospherical foliations.

Classification of horospherical invariant measures in higher rank: The Full Story Conformal measure rigidity and ergodicity of horospherical foliations

Reference 30

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This paper cites Anosov subgroups: dynamical and geometric characterizations.

Classification of horospherical invariant measures in higher rank: The Full Story Anosov subgroups: dynamical and geometric characterizations

Reference 31

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This paper cites Kim, Hee Oh, and Yahui Wang.

Classification of horospherical invariant measures in higher rank: The Full Story Kim, Hee Oh, and Yahui Wang

Reference 32

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This paper cites Kim, Hee Oh, and Yahui Wang.

Classification of horospherical invariant measures in higher rank: The Full Story Kim, Hee Oh, and Yahui Wang

Reference 33

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This paper cites Anosov flows, surface groups and curves in projective space.

Classification of horospherical invariant measures in higher rank: The Full Story Anosov flows, surface groups and curves in projective space

Reference 34

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This paper cites Horospherically invariant measures and finitely generated K leinian groups.

Classification of horospherical invariant measures in higher rank: The Full Story Horospherically invariant measures and finitely generated K leinian groups

Reference 35

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This paper cites Invariant measures for the stable foliation on negatively curved periodic manifolds.

Classification of horospherical invariant measures in higher rank: The Full Story Invariant measures for the stable foliation on negatively curved periodic manifolds

Reference 36

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Observation 83af47df-2d13-4146-b1f0-7bdf7d8d42e6 · outbound

This paper cites On R adon measures invariant under horospherical flows on geometrically infinite quotients.

Classification of horospherical invariant measures in higher rank: The Full Story On R adon measures invariant under horospherical flows on geometrically infinite quotients

Reference 37

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Observation 5f114f5f-daf8-45e1-be6b-e492583ef736 · outbound

This paper cites Horospherical invariant measures and a rank dichotomy for A nosov groups.

Classification of horospherical invariant measures in higher rank: The Full Story Horospherical invariant measures and a rank dichotomy for A nosov groups

Reference 38

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Observation 45f6abfa-dea8-4087-b0aa-605928f20af8 · outbound

This paper cites Invariant measures for horospherical actions and A nosov groups.

Classification of horospherical invariant measures in higher rank: The Full Story Invariant measures for horospherical actions and A nosov groups

Reference 39

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source=arxiv_source observed=2026-08-03T06:37:54.826474Z digest=sha256:4b5c385a9dd079d1f62bc89fc806d36c30cf090409dc6672ac5b654504161d19

Observation 03ca8b94-0528-4bb6-94d7-9eb107d97a9e · outbound

This paper cites Ergodic decompositions of geometric measures on A nosov homogeneous spaces.

Classification of horospherical invariant measures in higher rank: The Full Story Ergodic decompositions of geometric measures on A nosov homogeneous spaces

Reference 40

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source=arxiv_source observed=2026-08-03T06:37:54.998128Z digest=sha256:9c3369585abeab2694890637f866c93e988b9f450fd129ba0e2f7a329c29bffa

Observation 3a83d7df-50e3-4fbf-9216-bf0800df1984 · outbound

This paper cites Invariant measures for the horocycle flow on periodic hyperbolic surfaces.

Classification of horospherical invariant measures in higher rank: The Full Story Invariant measures for the horocycle flow on periodic hyperbolic surfaces

Reference 41

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source=arxiv_source observed=2026-08-03T06:37:55.154905Z digest=sha256:d0666975e031c6ff0c1dd8878bd097a72039d78de1f6eb4d1002c2f58a8da823

Observation f96a596a-ea64-450d-a1cd-bfa5ff874f9f · outbound

This paper cites an unresolved cited work.

Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 42

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source=arxiv_source observed=2026-08-03T06:37:55.324766Z digest=sha256:2135a2f76911828605264f31b6e2728a87cddaf3226c3d0ff910f74e54f31a0e

Observation d9b9666a-360c-49b6-8227-da1b6ce43330 · outbound

This paper cites Dynamics and Rigidity through the Lens of Circles.

Classification of horospherical invariant measures in higher rank: The Full Story Dynamics and Rigidity through the Lens of Circles

Reference 43

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source=arxiv_source observed=2026-08-03T06:37:55.484772Z digest=sha256:2c78b8e6dd3107c7af365d4d30f00c0ec4d8ea30d4b0801a583c7475ac095fc4

Observation b56028d6-2626-4b11-bb9d-bf00a3fe60d7 · outbound

This paper cites Local mixing and invariant measures for horospherical subgroups on abelian covers.

Classification of horospherical invariant measures in higher rank: The Full Story Local mixing and invariant measures for horospherical subgroups on abelian covers

Reference 44

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source=arxiv_source observed=2026-08-03T06:37:55.571698Z digest=sha256:35c4c6b62e2f992a6c0202d500bf2190faca87ef5a72c5e761870599fb537172

Observation 03c2bb40-6705-4c34-9624-b52cc5a140ef · outbound

This paper cites an unresolved cited work.

Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 45

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source=arxiv_source observed=2026-08-03T06:37:55.684762Z digest=sha256:c0886c3ab2415f2d9c375619c259c02cb9bdab5c20556c6bf32166b07e12b416

Observation d9b5f711-876b-4dfb-9a55-40312f9430b5 · outbound

This paper cites an unresolved cited work.

Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 46

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source=arxiv_source observed=2026-08-03T06:37:55.844769Z digest=sha256:2033cbf1affb254d7b038f5978676744ec3afaa1fbf1811ab80c57ba301ba4c9

Observation f780289e-e74d-4722-94e6-f044c85d25fd · outbound

This paper cites On R aghunathan's measure conjecture.

Classification of horospherical invariant measures in higher rank: The Full Story On R aghunathan's measure conjecture

Reference 47

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source=arxiv_source observed=2026-08-03T06:37:55.986537Z digest=sha256:51c53f351f2f71170cba730d882b3829bb2253296ccb8610231c7fc197351b27

Observation 652509a6-3c36-4bcc-93d4-962109bdf233 · outbound

This paper cites Ergodicit\'e et \'equidistribution en courbure n\'egative.

Classification of horospherical invariant measures in higher rank: The Full Story Ergodicit\'e et \'equidistribution en courbure n\'egative

Reference 48

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source=arxiv_source observed=2026-08-03T06:37:56.200073Z digest=sha256:9f68361acecf04e305b4c2c301169a84157e8a24eabcac5574a0385f29d4624b

Observation 725b1244-ed2a-41ad-ae57-0c4c4b0f7a72 · outbound

This paper cites Sambarino.

Classification of horospherical invariant measures in higher rank: The Full Story Sambarino

Reference 49

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source=arxiv_source observed=2026-08-03T06:37:56.350310Z digest=sha256:0615d0e717d718a71f652240a6061fdd39677915aa8db04ea726b25fae753d1b

Observation 85b91467-eee4-460c-9359-6c5741b5ae3c · outbound

This paper cites Invariant R adon measures for horocycle flows on abelian covers.

Classification of horospherical invariant measures in higher rank: The Full Story Invariant R adon measures for horocycle flows on abelian covers

Reference 50

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source=arxiv_source observed=2026-08-03T06:37:56.555142Z digest=sha256:28c48d38819fc7c049f3efe338f57e994d978dba55addab84797fc5e97226269

Observation b92648ac-6b9a-49ea-afb7-813ec4a21877 · outbound

This paper cites The horocyclic flow and the L aplacian on hyperbolic surfaces of infinite genus.

Classification of horospherical invariant measures in higher rank: The Full Story The horocyclic flow and the L aplacian on hyperbolic surfaces of infinite genus

Reference 51

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source=arxiv_source observed=2026-08-03T06:37:56.690254Z digest=sha256:fb728d3bef064a831ce1def8fc6d57e89ebf58dda63e3e15eae3f42c400cd7ea

Observation 2077a420-b13e-4c72-bfec-e0534df0d129 · outbound

This paper cites Projections and relative hyperbolicity.

Classification of horospherical invariant measures in higher rank: The Full Story Projections and relative hyperbolicity

Reference 52

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source=arxiv_source observed=2026-08-03T06:37:56.794873Z digest=sha256:0f40f34345c27e8cbbb05990cd193da099f048e0829bee02be1a7ae6b3cc3554

Observation f184b07c-66e5-40cc-aa6a-8cf924e2033f · outbound

This paper cites Contracting elements and random walks.

Classification of horospherical invariant measures in higher rank: The Full Story Contracting elements and random walks

Reference 53

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source=arxiv_source observed=2026-08-03T06:37:56.881151Z digest=sha256:d9130b37814782fdc31311a2d92a2f94156a64a7f178481c6400fbd295903394

Observation a2f61457-325f-4127-b761-eefe3e17bec4 · outbound

This paper cites an unresolved cited work.

Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 54

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source=arxiv_source observed=2026-08-03T06:37:56.944768Z digest=sha256:88a8d885484199f1d5892ceb7ced9a682de2b6bc2b9f01157e0c194b0fc8ea14

Observation e9a16928-099a-44b2-893e-3a64882747f9 · outbound

This paper cites an unresolved cited work.

Classification of horospherical invariant measures in higher rank: The Full Story Unresolved cited work

Reference 55

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source=arxiv_source observed=2026-08-03T06:37:57.018219Z digest=sha256:36af9896f98c68626753176ff2e98a820c21929477578667df585544855d88ec

Observation 7400bc04-9335-4933-b2a6-5c02e1ce77e9 · outbound

This paper cites Mixing of frame flow for rank one locally symmetric spaces and measure classification.

Classification of horospherical invariant measures in higher rank: The Full Story Mixing of frame flow for rank one locally symmetric spaces and measure classification

Reference 56

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source=arxiv_source observed=2026-08-03T06:37:57.094752Z digest=sha256:ee12628afaaab35c5d4667885e425733ca43c56d74ba2c1e49dbc998bf805d0d

Observation 2584e479-6b4c-4702-bf45-01b8838b3b1e · outbound

This paper cites Growth tightness for groups with contracting elements.

Classification of horospherical invariant measures in higher rank: The Full Story Growth tightness for groups with contracting elements

Reference 57

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source=arxiv_source observed=2026-08-03T06:37:57.214762Z digest=sha256:f747095da9ee9d5f6306cb23f7fa7242f139aa1f0f57e54733341add8cbdc777

Observation 39ab454e-67b6-465c-b186-01b069baf4eb · outbound

This paper cites Statistically convex-cocompact actions of groups with contracting elements.

Classification of horospherical invariant measures in higher rank: The Full Story Statistically convex-cocompact actions of groups with contracting elements

Reference 58

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source=arxiv_source observed=2026-08-03T06:37:57.300817Z digest=sha256:913c79955230d9dab5895a00650e2010db8d4986f9195be55d1986670c4a9435

Observation 1a7326eb-b3cd-47c7-9986-4b822515bb9f · outbound

This paper cites Conformal dynamics at infinity for groups with contracting elements.

Classification of horospherical invariant measures in higher rank: The Full Story Conformal dynamics at infinity for groups with contracting elements

Reference 59

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source=arxiv_source observed=2026-08-03T06:37:57.366976Z digest=sha256:cc233c6ddb590c570a38f817b7f85d8db7deb9b4b27779645e08150278465a13

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