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Paper Citation Record · LEDGER

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two

As of 21 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.04882.

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pith.paper-citation-record.v1
2506.04882 v3

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:43:32.134905Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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External citation measurements

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Outbound references

Observation b2b9c0cc-806f-4839-a5dc-f03c889b9306 · outbound

This paper cites Adams, W.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Adams, W

Reference 1

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Observation b83387a5-43b7-46e8-833c-16522d872632 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 2

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Observation 7924ef83-fe8b-4dd9-b201-8c8b51d5d928 · outbound

This paper cites Ambrosio, B.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Ambrosio, B

Reference 3

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Observation 264360c2-b433-40d8-83a1-67285095e9c6 · outbound

This paper cites Arzhantseva, G.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Arzhantseva, G

Reference 4

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Observation 406b9386-7e3c-4283-bcba-0962296c48f3 · outbound

This paper cites Assouad, Sur la distance de Nagata, C.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Assouad, Sur la distance de Nagata, C

Reference 5

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Observation 08a5801a-3d88-4b47-bacd-aa6eddfcaeac · outbound

This paper cites Ballmann, Lectures on Spaces of Nonpositive Curvature, DMV Seminar 25, Birkh¨ auser 1995.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Ballmann, Lectures on Spaces of Nonpositive Curvature, DMV Seminar 25, Birkh¨ auser 1995

Reference 6

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Observation 510a3572-2656-43f9-843d-8709404b19a7 · outbound

This paper cites Basso, S.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Basso, S

Reference 7

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Observation 96183f68-2afd-480e-b37d-6ac3ae2146b6 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 8

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Observation c0344109-1d55-47f0-b37a-b174fce6c3b8 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 9

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 53427749-9d5b-4505-8b73-89b1676d8196 · outbound

This paper cites Brodskiy, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Brodskiy, J

Reference 10

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Observation e5757c99-9fde-4e2c-8dd5-00f02f9a5521 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 11

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Observation 2ece3b37-06b5-4788-8a31-258ffac86326 · outbound

This paper cites Buyalo, V.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Buyalo, V

Reference 12

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Observation 591925fd-6d3f-4e8b-8766-258058969dad · outbound

This paper cites Dydak, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Dydak, J

Reference 13

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Observation 3169a179-6fc5-43be-ad9a-963e739fb194 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 14

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Observation 1b513813-0028-40a6-87df-885b8e4b4f57 · outbound

This paper cites Minimal tetrahedra and an isoperimetric gap theorem in non-positive curvature.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Minimal tetrahedra and an isoperimetric gap theorem in non-positive curvature

Reference 15

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Observation d20c238a-f84d-4fa4-9479-13ffa71f7b55 · outbound

This paper cites Federer, Geometric Measure Theory, Springer 1969.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Federer, Geometric Measure Theory, Springer 1969

Reference 16

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Observation f7e2d72c-1367-4c60-b8ef-e11cdc37704b · outbound

This paper cites Fujiwara, P.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Fujiwara, P

Reference 17

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:29.754150Z digest=sha256:b17a38ca697a11115bf002320ef90c751e228fd01abab7bde231f86baacdb254

Observation 47ec796d-6e79-44f8-94f4-5e869c9b6cde · outbound

This paper cites Goldhirsch, Lipschitz chain approximation of metric integral currents, Anal.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Goldhirsch, Lipschitz chain approximation of metric integral currents, Anal

Reference 18

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Observation d2a5d936-c071-4769-90eb-ec1659bdad37 · outbound

This paper cites Goldhirsch, Higher Rank Hyperbolicity and Currents in Metric Spaces, Diss.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Goldhirsch, Higher Rank Hyperbolicity and Currents in Metric Spaces, Diss

Reference 19

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Observation 59fbd5ac-1a3d-45ae-8e6b-209f19c6b6f9 · outbound

This paper cites Goldhirsch, U.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Goldhirsch, U

Reference 20

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raw_fallback, observed 2026-08-07T10:43:37.237157Z

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Observation 93ed68df-7e9d-4269-8df0-f4548c5949e1 · outbound

This paper cites Gromov, Filling Riemannian manifolds, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Gromov, Filling Riemannian manifolds, J

Reference 21

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raw_fallback, observed 2026-08-07T10:43:37.062870Z

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Observation 4c2e17cd-db8b-46ea-880a-5afb4d4bf3a0 · outbound

This paper cites Gromov, Hyperbolic groups, in: S.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Gromov, Hyperbolic groups, in: S

Reference 22

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raw_fallback, observed 2026-08-07T10:43:36.905288Z

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Observation 90c0baa3-1f31-4e5a-b83b-a5c6923dc744 · outbound

This paper cites Gromov, Asymptotic invariants of infinite groups, in: A.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Gromov, Asymptotic invariants of infinite groups, in: A

Reference 23

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raw_fallback, observed 2026-08-07T10:43:36.764018Z

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source=pdf_text observed=2026-08-07T10:43:30.150087Z digest=sha256:75067a8f465ac0e5143f4f0c2eb76c2bbd81dbf6ab42f14b5cb1d00aca6d645b

Observation 6345d4b4-33ca-4989-b31d-9d27fa7ec968 · outbound

This paper cites Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces, Birkh¨ auser 1999.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces, Birkh¨ auser 1999

Reference 24

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Observation 9ab57491-0012-4319-a54a-d3ab8591663f · outbound

This paper cites Hoffman, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Hoffman, J

Reference 25

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Observation c303e95f-52ca-4223-ab4e-929ebfb8f64e · outbound

This paper cites Isleifsson, Linear isoperimetric inequality for homogeneous Hadamard manifolds, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Isleifsson, Linear isoperimetric inequality for homogeneous Hadamard manifolds, J

Reference 26

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doi, observed 2026-08-07T10:43:32.331554Z

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source=pdf_text observed=2026-08-07T10:43:30.375088Z digest=sha256:06357bdb9693e053bb45501b0be218bf12866872257ac7b93c4c784b1d8f04a9

Observation 3302c397-d737-4873-a564-ba5d67832b0a · outbound

This paper cites Jørgensen, U.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Jørgensen, U

Reference 27

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Observation 6c8b0de9-4639-419b-a963-75995f6af1c6 · outbound

This paper cites Kleiner, The local structure of length spaces with curvature bounded above, Math.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Kleiner, The local structure of length spaces with curvature bounded above, Math

Reference 28

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raw_fallback, observed 2026-08-07T10:43:36.020901Z

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Observation 2113b52a-07ab-4c1c-85ab-54c325ae9de6 · outbound

This paper cites Kleiner, An isoperimetric comparison theorem, Invent.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Kleiner, An isoperimetric comparison theorem, Invent

Reference 29

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:43:30.589890Z digest=sha256:b22a3f5f751181bd97169e2e4ef1737d5111226b8451596bfcb16ebd6433e8dd

Observation 9adca696-d7be-4f01-9c98-b2e5b5851f8f · outbound

This paper cites Kleiner, U.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Kleiner, U

Reference 30

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raw_fallback, observed 2026-08-07T10:43:35.859314Z

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Observation f2f6b5da-55da-41ec-b37e-3029f093a734 · outbound

This paper cites Lang, Higher-dimensional linear isoperimetric inequalities in hyperbolic groups, Internat.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Lang, Higher-dimensional linear isoperimetric inequalities in hyperbolic groups, Internat

Reference 31

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raw_fallback, observed 2026-08-07T10:43:35.664364Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 85806e44-f7cf-435c-b389-a2f2663097d4 · outbound

This paper cites Lang, Local currents in metric spaces, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Lang, Local currents in metric spaces, J

Reference 32

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raw_fallback, observed 2026-08-07T10:43:35.513551Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation d04083c3-d3d7-4422-889f-4e9b81d60a8e · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 514e89ad-2bee-450c-859c-b5a90b863ba3 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-07T10:43:35.173319Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1f5fe4ad-d4ff-401a-b3f3-06b96f5bb069 · outbound

This paper cites an unresolved cited work.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-07T10:43:34.996797Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.051125Z digest=sha256:6a65835ab28bfbc257e6f5b50313908ea98c38f8bdd54456adf6437cf92fa4d6

Observation 2eef62de-bbc3-408a-97b8-836017f5b51b · outbound

This paper cites Lebedeva, Dimensions of products of hyperbolic spaces (Russian), Algebra i Analiz 19 (2007), no.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Lebedeva, Dimensions of products of hyperbolic spaces (Russian), Algebra i Analiz 19 (2007), no

Reference 36

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raw_fallback, observed 2026-08-07T10:43:34.797319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.123825Z digest=sha256:15fe778aca23db09ea0664eed049b32566bb5a0106f0978a747a550019d8e788

Observation e48d10f1-1b34-4c78-a2cd-fe189c81181f · outbound

This paper cites Leuzinger, Optimal higher-dimensional Dehn functions for some CAT(0) lattices, Groups Geom.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Leuzinger, Optimal higher-dimensional Dehn functions for some CAT(0) lattices, Groups Geom

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:34.634195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.199595Z digest=sha256:f025c121a2c31f2c50a3471f5ed530de82b8a9ae0df9294f5051a35cef55f7c1

Observation a1db5ea4-f1b8-48c2-abda-0ca1e18912e1 · outbound

This paper cites Quasiconformal almost parametrizations of metric surfaces.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Quasiconformal almost parametrizations of metric surfaces

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:43:32.498048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.266858Z digest=sha256:faf0ebd7a905a225fb9dea2a5fea8755338f118dddf7059da14b05637f4198b3

Observation 03b6160d-8324-45ff-a233-7a8f37b71a7b · outbound

This paper cites Roe, Lectures on Coarse Geometry, Univ.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Roe, Lectures on Coarse Geometry, Univ

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:34.442475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.376226Z digest=sha256:45e7f6ed06dc089c6667be88a364f372050f3a83c3920345679d067048c7e1be

Observation 2e39f706-9247-4081-b72c-39885031be35 · outbound

This paper cites Schulze, Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds, Geom.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Schulze, Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds, Geom

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:34.292714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.448614Z digest=sha256:9bb8e398f57b095dfd71b6487c132faaf5eb15b5a8e8e9db3b2d630b31ee67fd

Observation 2f5d5752-574a-4659-bf77-77e0c5acd243 · outbound

This paper cites Stadler, The structure of minimal surfaces in CAT(0) spaces, J.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Stadler, The structure of minimal surfaces in CAT(0) spaces, J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:34.099755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.521420Z digest=sha256:c789e1404a895726cf5f25738c93843d0c5fcd23a8682461a4aaac179ec6bf01

Observation 7214d0f8-d85f-48e9-93d2-0dc04bea5f1b · outbound

This paper cites Wenger, Isoperimetric inequalities of Euclidean type in metric spaces, Geom.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Wenger, Isoperimetric inequalities of Euclidean type in metric spaces, Geom

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:33.928484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.573809Z digest=sha256:7c439444187ebed7495eea2c740bbbce2052ca48c969a2c96cbe2bf9de51e995

Observation 12b64bfb-e2d4-49e5-bdcb-7e26c8e13051 · outbound

This paper cites Wenger, Filling invariants at infinity and the Euclidean rank of Hadamard spaces, Internat.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Wenger, Filling invariants at infinity and the Euclidean rank of Hadamard spaces, Internat

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:33.742960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.647528Z digest=sha256:95f380ec98c57cb6ce14e95ebf6a63489412096f976850d4aefc84847b7f726b

Observation 2d398146-66b6-4c17-bd31-b601e5405bb0 · outbound

This paper cites Wenger, Gromov hyperbolic spaces and the sharp isoperimetric constant, Invent.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Wenger, Gromov hyperbolic spaces and the sharp isoperimetric constant, Invent

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:33.586794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.757339Z digest=sha256:8d3158f0d2f4d9a931a09380cf7ac932dbd394f6ff6f8252ed6015278fd8aa23

Observation 30c2aae6-d88b-4502-aa8b-47d2a6324c1a · outbound

This paper cites Wenger, The asymptotic rank of metric spaces, Comment.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Wenger, The asymptotic rank of metric spaces, Comment

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:33.397677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.843563Z digest=sha256:e53479e4991fa030936850b5a88557f3646a70ca384bb98d00dc19b452ee972b

Observation e481c53a-4182-4679-95e4-8d78cd5bbad4 · outbound

This paper cites Wright, Finite asymptotic dimension for CAT(0) cube complexes, Geom.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Wright, Finite asymptotic dimension for CAT(0) cube complexes, Geom

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:33.228821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:31.930316Z digest=sha256:1bb108e44a23854ab2925310e7158dfa37fe97704806173cfe970c3d77d2eed8

Observation 711352aa-0eff-4fc4-a960-a04345a9d5d1 · outbound

This paper cites Xie, Nagata dimension and quasi-M¨ obius maps, Conform.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Xie, Nagata dimension and quasi-M¨ obius maps, Conform

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:33.064180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:32.028756Z digest=sha256:65bed4805fea40b34335043082e03295ec2cdd8c771ec51245f741312ee82af0

Observation e9d504be-b21f-41a7-ac96-2a1d4c5ba478 · outbound

This paper cites Z¨ ust, Functions of bounded fractional variation and fractal currents, Geom.

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two Z¨ ust, Functions of bounded fractional variation and fractal currents, Geom

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:32.857775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:32.134905Z digest=sha256:9a8ba0045a94f17c59856fabf7e399c87120a95ba46f1a35c703a8d91d4365c2

Pith citing papers

No inbound Pith citation observations are available.