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Paper Citation Record · LEDGER

The entropy-degree theorem for Alexandrov spaces

As of 9 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2606.30403.

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

pith.paper-citation-record.v1
2606.30403 v1

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measured 56 of 56 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-30T04:58:15.385691Z

measured 56 of 56 standing notices

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Reference resolution

56 of 56 outbound references displayed

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Outbound references

Observation a5a39c99-a11d-4382-b678-f41e1ae4d561 · outbound

This paper cites Ambrosio and B.

The entropy-degree theorem for Alexandrov spaces Ambrosio and B

Reference 1

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Observation b73d2621-b2d6-43d0-b0c0-8e451de065e0 · outbound

This paper cites Basso, D.

The entropy-degree theorem for Alexandrov spaces Basso, D

Reference 2

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Observation 71423d82-ca05-470b-baf3-c9a76695b367 · outbound

This paper cites Besson, G.

The entropy-degree theorem for Alexandrov spaces Besson, G

Reference 3

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Observation d245c5c1-c5d2-48ea-873f-91d805f5a5d7 · outbound

This paper cites Besson, G.

The entropy-degree theorem for Alexandrov spaces Besson, G

Reference 4

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Observation 3841d64a-bafe-403d-baab-30f3ec320bd6 · outbound

This paper cites Bessi` eres,Un th´ eor` eme de rigidit´ e diff´ erentielle, Comment.

The entropy-degree theorem for Alexandrov spaces Bessi` eres,Un th´ eor` eme de rigidit´ e diff´ erentielle, Comment

Reference 5

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Observation c88202f6-d215-467f-9759-aea761762628 · outbound

This paper cites Boileau, B.

The entropy-degree theorem for Alexandrov spaces Boileau, B

Reference 6

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Observation 13db0adf-5852-446b-89eb-03209ae77673 · outbound

This paper cites Bridgeman, J.

The entropy-degree theorem for Alexandrov spaces Bridgeman, J

Reference 7

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Observation 95a67d85-5703-437a-a2e9-c9eab04e6359 · outbound

This paper cites Burago, Y.

The entropy-degree theorem for Alexandrov spaces Burago, Y

Reference 8

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Observation 3c63cbf5-841c-4d34-9999-37f525690806 · outbound

This paper cites Burago, M.

The entropy-degree theorem for Alexandrov spaces Burago, M

Reference 9

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Observation ebf26502-3d69-42f7-ab39-0ac699db185c · outbound

This paper cites Cheeger, T.

The entropy-degree theorem for Alexandrov spaces Cheeger, T

Reference 10

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Observation 9cef3519-4f0b-45f5-b1c1-d01cee8acf4d · outbound

This paper cites Cooper, C.

The entropy-degree theorem for Alexandrov spaces Cooper, C

Reference 11

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Observation ec512666-4c97-4a28-a0ae-7e20e34441e5 · outbound

This paper cites Connell, B.

The entropy-degree theorem for Alexandrov spaces Connell, B

Reference 12

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Observation 77518866-c124-4a7a-ae14-7d25628dffc3 · outbound

This paper cites Volume entropy and rigidity for RCD-spaces.

The entropy-degree theorem for Alexandrov spaces Volume entropy and rigidity for RCD-spaces

Reference 13

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Observation f228c80c-5ab9-4924-96e2-c2ddd8b48d6d · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 14

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Observation 0d45644e-5ce9-4180-9825-012d5d7787dd · outbound

This paper cites Del Nin, R.

The entropy-degree theorem for Alexandrov spaces Del Nin, R

Reference 15

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Observation 9559bee1-a624-4f8d-964d-1e9ac27ac33c · outbound

This paper cites Douady, C.

The entropy-degree theorem for Alexandrov spaces Douady, C

Reference 16

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Observation 84b8a12c-6f9c-440b-8b5a-2972c8bb4939 · outbound

This paper cites Field, H.

The entropy-degree theorem for Alexandrov spaces Field, H

Reference 17

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Observation 5956e2f6-25d6-41ce-8011-b3b209ae9661 · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 18

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Observation 6c447d18-43d8-4532-96d2-9047fab5a1d2 · outbound

This paper cites Gromov,Structures m´ etriques pour les vari´ et´ es riemanniennes, Edited by J.

The entropy-degree theorem for Alexandrov spaces Gromov,Structures m´ etriques pour les vari´ et´ es riemanniennes, Edited by J

Reference 19

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Observation 7eeb7fb5-7383-4639-96c7-1284f7eb564d · outbound

This paper cites Hautes ´Etudes Sci.

The entropy-degree theorem for Alexandrov spaces Hautes ´Etudes Sci

Reference 20

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Observation 079301c7-2d90-4982-a5b1-0aeaa07dd003 · outbound

This paper cites The geometry of branched coverings of hyperbolic manifolds.

The entropy-degree theorem for Alexandrov spaces The geometry of branched coverings of hyperbolic manifolds

Reference 21

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Observation a7a03610-192a-4fdd-8453-5e9b2c8008df · outbound

This paper cites Negatively curved Einstein metrics on Gromov-Thurston manifolds.

The entropy-degree theorem for Alexandrov spaces Negatively curved Einstein metrics on Gromov-Thurston manifolds

Reference 22

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Observation b7cf2337-e741-4e00-8e26-59cfdf734350 · outbound

This paper cites Harvey, C.

The entropy-degree theorem for Alexandrov spaces Harvey, C

Reference 23

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Observation 00670b1f-31a7-4828-80b1-84c4411183cd · outbound

This paper cites Herreros,Scattering rigidity of magnetic flows, J.

The entropy-degree theorem for Alexandrov spaces Herreros,Scattering rigidity of magnetic flows, J

Reference 24

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Observation 8a710304-6434-49fd-9431-18b84ba1a436 · outbound

This paper cites Jaramillo, R.

The entropy-degree theorem for Alexandrov spaces Jaramillo, R

Reference 25

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Observation df489124-b6c4-4161-a814-ef72712dbb95 · outbound

This paper cites Kapovich,Hyperbolic Manifolds and Discrete Groups, Progress in Mathematics, vol.

The entropy-degree theorem for Alexandrov spaces Kapovich,Hyperbolic Manifolds and Discrete Groups, Progress in Mathematics, vol

Reference 26

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Observation d0e49565-f3ae-41fb-b831-90d064ebf604 · outbound

This paper cites Kapovitch,Perelman’s stability theorem, Surveys in Differential Geometry, Vol.

The entropy-degree theorem for Alexandrov spaces Kapovitch,Perelman’s stability theorem, Surveys in Differential Geometry, Vol

Reference 27

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Observation 34242a2c-5b69-4dde-8d8d-2fbd6277627c · outbound

This paper cites Kirchheim,Rectifiable metric spaces: local structure and regularity of the Hausdorff measure, Proceedings of the American Mathematical Society, 121(1), 113–123.

The entropy-degree theorem for Alexandrov spaces Kirchheim,Rectifiable metric spaces: local structure and regularity of the Hausdorff measure, Proceedings of the American Mathematical Society, 121(1), 113–123

Reference 28

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Observation df959574-ced6-4c22-95dd-3bb1f2256fb7 · outbound

This paper cites Li,Lipschitz-volume rigidity in Alexandrov geometry, Adv.

The entropy-degree theorem for Alexandrov spaces Li,Lipschitz-volume rigidity in Alexandrov geometry, Adv

Reference 29

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Observation e3659e6e-0721-4b10-9329-242d721ccb67 · outbound

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The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 30

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Observation 1a4c45a7-9b2b-40ac-a1d5-59abc9a43633 · outbound

This paper cites Lytchak,Differentiation in metric spaces, St.

The entropy-degree theorem for Alexandrov spaces Lytchak,Differentiation in metric spaces, St

Reference 31

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Observation 33f137c3-e83f-4989-a18a-b5dc265c5860 · outbound

This paper cites Manning,Topological entropy for geodesic flows,Ann.

The entropy-degree theorem for Alexandrov spaces Manning,Topological entropy for geodesic flows,Ann

Reference 32

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Observation 4268962d-ba11-42c8-a941-93e1b7b51ea2 · outbound

This paper cites Orientability and fundamental classes of Alexandrov spaces with applications.

The entropy-degree theorem for Alexandrov spaces Orientability and fundamental classes of Alexandrov spaces with applications

Reference 33

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Observation 48bf5ade-b292-41c4-a359-320bedb9e60e · outbound

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The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 34

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Observation f36a3245-07ff-4f0e-baf5-a90db13b19c4 · outbound

This paper cites Mitsuishi, T.

The entropy-degree theorem for Alexandrov spaces Mitsuishi, T

Reference 35

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Observation e3bcb572-0dc9-439b-9a8d-1abbb3b29352 · outbound

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The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 36

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Observation 21b3c249-cf4e-4743-bbeb-44561a813b12 · outbound

This paper cites Otal,Le spectre marqu´ e des longueurs des surfaces ` a courbure n´ egative, Ann.

The entropy-degree theorem for Alexandrov spaces Otal,Le spectre marqu´ e des longueurs des surfaces ` a courbure n´ egative, Ann

Reference 37

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Observation bc278b39-c7a9-4699-b3b6-eda99b8a7492 · outbound

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The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 38

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Observation f3023930-c554-43ac-8c09-371503e6c41f · outbound

This paper cites Perelman,Alexandrov spaces with curvatures bounded from below II, Preprint (1991).

The entropy-degree theorem for Alexandrov spaces Perelman,Alexandrov spaces with curvatures bounded from below II, Preprint (1991)

Reference 39

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Observation cdb731ac-5c91-4d50-91e4-a02e4d5fc50b · outbound

This paper cites Petrunin,Alexandrov meets Lott–Villani–Sturm, M¨ unster J.

The entropy-degree theorem for Alexandrov spaces Petrunin,Alexandrov meets Lott–Villani–Sturm, M¨ unster J

Reference 40

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Observation c3e22112-b258-4300-9f1d-8d64980977f2 · outbound

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The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 41

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:66c0e29413625681cb96995f51546f00b18f3f1f9fa3bad16b0de07c21e6fce4

Observation 293a41d1-5969-489b-9c27-3ed2a9d07c98 · outbound

This paper cites entropie major´ ee.

The entropy-degree theorem for Alexandrov spaces entropie major´ ee

Reference 42

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:5c58687d1398d07ce9015a6a235f5bfa26a24ca7a766090f0ef7bcfd31852070

Observation 3f7b7765-0ba4-439d-9b73-0f1d93e7f929 · outbound

This paper cites Sambusetti,Minimal entropy and simplicial volume, Manuscripta Math.

The entropy-degree theorem for Alexandrov spaces Sambusetti,Minimal entropy and simplicial volume, Manuscripta Math

Reference 43

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:7b17a925241ce013616ae5ceb5bfbbaf5f18c18c207daa4af59bccb3f7fe7dfa

Observation 980e5508-9453-4dfb-9be8-451d8fccfed4 · outbound

This paper cites Satake,The Gauss-Bonnet theorem forV-manifolds, J.

The entropy-degree theorem for Alexandrov spaces Satake,The Gauss-Bonnet theorem forV-manifolds, J

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:189f8bb52aa56873036695014035231cdbfbcf978f129217dd12870ab6713417

Observation 3ea7334e-aa91-4e01-9878-91140fd38445 · outbound

This paper cites Song,Entropy and stability of hyperbolic manifolds, Geom.

The entropy-degree theorem for Alexandrov spaces Song,Entropy and stability of hyperbolic manifolds, Geom

Reference 45

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:05e01e55c6530432248f48e741cf13168d3952546ab4d036232b9a0b2f874c97

Observation a4c3e465-b9a2-4175-8fd5-d200611ca9bf · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 46

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:34effe3870f46ee4da506a514bc924afcc2a661bee8a35a5d994b31f2a606620

Observation 927c2813-2af0-470c-a7a0-64ae78c2a841 · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 47

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:cc5c74d8dbad44ed19cf41fff68a0e2d343e8c651e86fc9714ca833ceb6e1f76

Observation efbf984b-6e1e-4b7b-bd56-e134128351d3 · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 48

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:d7f2a261f1607ffcd3ebbe8ba20b7f2f513ad9c0b9d8c1a0113f0b5c3c59a83a

Observation fff52bed-c336-4ec1-a180-0479e928e441 · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 49

Resolution
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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:6549a2475aab0897be677d64fce505d5363452624d1b55bee3594955cff2859f

Observation 913f8575-6238-4e78-8f2f-f227f2306b56 · outbound

This paper cites Sturm,Probability measures on metric spaces of nonpositive curvature, Heat kernels and analysis on man- ifolds, graphs, and metric spaces (Paris, 2002), 357–390, Contemp.

The entropy-degree theorem for Alexandrov spaces Sturm,Probability measures on metric spaces of nonpositive curvature, Heat kernels and analysis on man- ifolds, graphs, and metric spaces (Paris, 2002), 357–390, Contemp

Reference 50

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:49411b0e043ba0b406df235afec3f5d8d209dfff88bc61e389e1755a7f4a7c1a

Observation 57057316-bd56-4ad0-851f-ae621c6a12a2 · outbound

This paper cites Sullivan,Hyperbolic geometry and homeomorphisms, Geometric Topology (Proc.

The entropy-degree theorem for Alexandrov spaces Sullivan,Hyperbolic geometry and homeomorphisms, Geometric Topology (Proc

Reference 51

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:47df67cd343623a75781d4f17e8a8b684ad3af9347f2a3c6e99a29326c23eed0

Observation 5ba56e75-c806-419c-912e-7d67d7b84fb3 · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 52

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:6b958b0afdc51b855e7821f39e194c8c16204a744aa8767836ec53fa89eb47b2

Observation 938c78ad-4ce0-4391-b29c-f68768645024 · outbound

This paper cites an unresolved cited work.

The entropy-degree theorem for Alexandrov spaces Unresolved cited work

Reference 53

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:9479f01ffdacabde03d63b478312311cd1f2986d6bcac55d52845f452f868dfe

Observation 53b6fbba-8c40-4e70-a3de-3257fdfe9b8b · outbound

This paper cites Yamaguchi,Simplicial volumes of Alexandrov spaces, Kyushu J.

The entropy-degree theorem for Alexandrov spaces Yamaguchi,Simplicial volumes of Alexandrov spaces, Kyushu J

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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:df27356559315fd3429e90ae82edadb44e050d472e01a04fa668c59ba20b59ad

Observation 67be39a2-69aa-4d53-a407-dee3b87454d8 · outbound

This paper cites Zhang, X.-P.

The entropy-degree theorem for Alexandrov spaces Zhang, X.-P

Reference 55

Resolution
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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:ff89f95560449e08f45d5827f9c897ac5b7c872aaf14efd859a0d416c412d5a5

Observation 0309329b-923e-4186-8c5f-792220aef0e1 · outbound

This paper cites Z¨ ust,Lipschitz-Volume Rigidity of Lipschitz Manifolds Among Integral Currents, J.

The entropy-degree theorem for Alexandrov spaces Z¨ ust,Lipschitz-Volume Rigidity of Lipschitz Manifolds Among Integral Currents, J

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Resolution
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source=pdf_text observed=2026-06-30T04:58:15.385691Z digest=sha256:6368ec4c9374c7a1d9368e361cdf0b2f389422b9a56a54b52d0968cdd53a9bd2

Pith citing papers

No inbound Pith citation observations are available.