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Paper Citation Record · LEDGER

Coarse embeddings of products of trees as quasi-isometry invariants

As of 11 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2607.08356.

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

pith.paper-citation-record.v1
2607.08356 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T08:48:42.114505Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

55 of 55 outbound references displayed

  • verified exact36
  • verified fuzzy12
  • unresolved0
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch6

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 269f1c3b-4b4b-42cb-98e4-c48fa07164cf · outbound

This paper cites Preprint , url=.

Coarse embeddings of products of trees as quasi-isometry invariants Preprint , url=

Reference 1

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 62cd314d-ca9e-4942-a8ed-9d5165a051ff · outbound

This paper cites Topology , FJOURNAL =.

Coarse embeddings of products of trees as quasi-isometry invariants Topology , FJOURNAL =

Reference 2

Resolution
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ed883b91-e01c-4897-b10a-fc47b37a4a7a · outbound

This paper cites Preprint available at.

Coarse embeddings of products of trees as quasi-isometry invariants Preprint available at

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites NTU/Tsinghua Lectures , note=.

Coarse embeddings of products of trees as quasi-isometry invariants NTU/Tsinghua Lectures , note=

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 8ea2e075-d811-4260-aa43-81806edeab8a · outbound

This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 5

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 453a03ed-0ccb-425e-8dad-cafdf4f81156 · outbound

This paper cites , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants , TITLE =

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ee6d50c7-cddc-4a88-96b2-4ef371f0ef67 · outbound

This paper cites arXiv preprint arXiv:2603.24706 , year=.

Coarse embeddings of products of trees as quasi-isometry invariants arXiv preprint arXiv:2603.24706 , year=

Reference 7

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arxiv_id, observed 2026-07-10T08:56:59.051836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 06c1c346-ca3a-4525-b8e4-bd594c938532 · outbound

This paper cites Polynomial hyperbolicity and products of free groups.

Coarse embeddings of products of trees as quasi-isometry invariants Polynomial hyperbolicity and products of free groups

Reference 8

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local_arxiv, observed 2026-07-10T08:56:59.037551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation bb0683f7-4909-4197-b426-7d781c4248a3 · outbound

This paper cites Journal of the London Mathematical Society , volume=.

Coarse embeddings of products of trees as quasi-isometry invariants Journal of the London Mathematical Society , volume=

Reference 9

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 747c5441-bb6d-4607-b484-d060691788f2 · outbound

This paper cites Quasiisometric embeddings between right-angled Artin groups: rigidity.

Coarse embeddings of products of trees as quasi-isometry invariants Quasiisometric embeddings between right-angled Artin groups: rigidity

Reference 10

Resolution
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local_arxiv, observed 2026-07-10T08:56:59.047903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f0fa5fb4-e592-43be-b1df-1b441af75d79 · outbound

This paper cites New York J.

Coarse embeddings of products of trees as quasi-isometry invariants New York J

Reference 11

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9eecf0ad-c45c-4f51-b690-319715bd0bf0 · outbound

This paper cites Duke Math.

Coarse embeddings of products of trees as quasi-isometry invariants Duke Math

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation d49d2c98-0afb-4cff-8d51-d74e75915809 · outbound

This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 13

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 24dd2d0f-c15c-492b-926d-8e1c1f11de61 · outbound

This paper cites Asymptotic and cohomological dimension of surface braid groups and poly-surface groups.

Coarse embeddings of products of trees as quasi-isometry invariants Asymptotic and cohomological dimension of surface braid groups and poly-surface groups

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f5ad287a-cd25-4113-beb0-eaeb023eb294 · outbound

This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 15

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 67ffa533-3b6a-4756-871f-41210c7df835 · outbound

This paper cites , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants , TITLE =

Reference 16

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ae8234c1-421d-43a5-a8df-b8c527de56d5 · outbound

This paper cites Behrstock.

Coarse embeddings of products of trees as quasi-isometry invariants Behrstock

Reference 17

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 18

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 2946c21c-845d-4e01-868e-872b77209013 · outbound

This paper cites Burago, Y.

Coarse embeddings of products of trees as quasi-isometry invariants Burago, Y

Reference 19

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation ba7f3e7d-d0a3-4fac-9e69-b25393fbac0c · outbound

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Coarse embeddings of products of trees as quasi-isometry invariants Groups Geom

Reference 20

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 400b8986-7a2c-42b9-87da-d6541390a84f · outbound

This paper cites Coarse obstructions to cocompact cubulation.

Coarse embeddings of products of trees as quasi-isometry invariants Coarse obstructions to cocompact cubulation

Reference 21

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local_arxiv, observed 2026-07-10T08:56:59.054966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b9d759fb-40ca-4c1f-abb0-66545bed86b4 · outbound

This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 22

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites [CDP90] Michel Coornaert, Thomas Delzant, and Athanase Papadopoulos.G ´eom´etrie et th´eorie des groupes, volume 1441 ofLecture Notes in Mathematics.

Coarse embeddings of products of trees as quasi-isometry invariants [CDP90] Michel Coornaert, Thomas Delzant, and Athanase Papadopoulos.G ´eom´etrie et th´eorie des groupes, volume 1441 ofLecture Notes in Mathematics

Reference 23

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 98892266-bbc6-4fcd-bc92-9fc240e96223 · outbound

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Coarse embeddings of products of trees as quasi-isometry invariants 2019 , journal=

Reference 24

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Coarse embeddings of products of trees as quasi-isometry invariants Preprint , year=

Reference 25

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites and Fujiwara, Koji , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants and Fujiwara, Koji , TITLE =

Reference 26

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verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 482cee66-c5eb-4fc9-91b2-9c228994b80d · outbound

This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 27

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verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 28

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verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation bb45e2b9-4dfd-4754-809d-4adb16a188f7 · outbound

This paper cites Duke Math.

Coarse embeddings of products of trees as quasi-isometry invariants Duke Math

Reference 29

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants , TITLE =

Reference 30

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Coarse embeddings of products of trees as quasi-isometry invariants Topology , FJOURNAL =

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Coarse embeddings of products of trees as quasi-isometry invariants and Minsky, Yair N

Reference 32

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 33

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites and Susse, Tim , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants and Susse, Tim , TITLE =

Reference 34

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants , TITLE =

Reference 35

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4e645581-26ec-4719-be08-461c24a8bd06 · outbound

This paper cites Constructing group actions on quasi-trees and applications to mapping class groups.

Coarse embeddings of products of trees as quasi-isometry invariants Constructing group actions on quasi-trees and applications to mapping class groups

Reference 36

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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This paper cites Morse theory and finiteness properties of groups.

Coarse embeddings of products of trees as quasi-isometry invariants Morse theory and finiteness properties of groups

Reference 37

Resolution
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doi, observed 2026-07-10T08:56:58.831985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:13ea24114214e6e90042fcde5fdcef82e7fcae0d5fc51b6616f8bd38a6573b96

Observation a1e0c0bb-2e96-4c49-ab3e-0039dd8917c5 · outbound

This paper cites Geometric and Functional Analysis , pages=.

Coarse embeddings of products of trees as quasi-isometry invariants Geometric and Functional Analysis , pages=

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:56:59.571621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:5de7189a2fe5e6dbacd13b55b26694185f82014f68706589cfb8f0a9bc91d4ba

Observation 5ac5839e-3b70-422c-9b83-13f6e83d9683 · outbound

This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 39

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.828456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:5357fa3103b449a6d192b03b4141efb736fdc774a43aca9db808747b117678d3

Observation 3736c377-b96a-4d41-9566-83432a1b3ff2 · outbound

This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 40

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.813149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:e479466218bcaa26612fe2ec4ce1c02466eec40e7646933bf1c301d66d0360fa

Observation fcea0091-8128-49b3-aa47-5efb4e22fd6e · outbound

This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 41

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.819410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:0f30e6155b51a6e65fd46cee3c94334c8297a18b7e916d560acf754fc6a50805

Observation 06d0bad9-99d7-4d4b-b922-33b43dba1987 · outbound

This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 42

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.832378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:9608ec0d616ce34a3f893b8a51843f17eeeec35f605f73098c45011c4f7120ad

Observation a54979f4-2be2-40b9-b139-45c975bf8b6c · outbound

This paper cites American Mathematical Society, Providence, RI, 2018.10.1090/coll/063.

Coarse embeddings of products of trees as quasi-isometry invariants American Mathematical Society, Providence, RI, 2018.10.1090/coll/063

Reference 43

Resolution
metadata mismatch
doi, observed 2026-07-10T08:56:58.806256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:b3727c5b34a5cee78b48af242fba852095ca7eaa7f7f56af139fc2e963d9382e

Observation 17ae474f-9e5f-4bf6-bbd2-cf5a097eb126 · outbound

This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 44

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.825859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:b501f4730adc5b7f152b7005c567b8c5ea20fe37b41283c06960e71b35cb0432

Observation 9f93dcb2-2c70-4c13-b212-539de41d6d1f · outbound

This paper cites TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants TITLE =

Reference 45

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.799770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:eca3fb6f7640a7b4f9148f35ddc302bce5e48ab92f0f3ca17a14667cd65247a8

Observation c8fbfe45-3ced-4634-865b-2185abb3931a · outbound

This paper cites and Sisto, Alessandro , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants and Sisto, Alessandro , TITLE =

Reference 46

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.809836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:13b5ce3f45f8919eb8064a371b711a9ecab81dfadb633c5db7857b53497252f8

Observation 64e7068b-2865-4bfe-8ec4-eca7c6a66074 · outbound

This paper cites 1983 , PAGES =.

Coarse embeddings of products of trees as quasi-isometry invariants 1983 , PAGES =

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:56:59.568190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:13e11a64189a6e1b63427c25282408c8861f258f3bd6c6d5a9a9c2e4a2d2ceeb

Observation cf23335a-3f0b-488f-8505-6e006c2b6f0e · outbound

This paper cites and Grohe, M.

Coarse embeddings of products of trees as quasi-isometry invariants and Grohe, M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:56:59.569917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:10dc0c57b345975077b0edb5073ff24e95b2973b0ca241d49287b5a0f436c499

Observation b1a590d3-5126-47ae-9f69-5489d97855b6 · outbound

This paper cites an unresolved cited work.

Coarse embeddings of products of trees as quasi-isometry invariants Unresolved cited work

Reference 49

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.830154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:8a96702b4e59a900c1affe89ee47a8aec56f0ccd84cada7431c6f039a5e2c7c5

Observation a0420184-1a6d-4756-997a-96d2087034ac · outbound

This paper cites and Sisto, Alessandro , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants and Sisto, Alessandro , TITLE =

Reference 50

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.822895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:5adcf58d0da5fd3d1de20d0311a2e586a470bb2b4e65ed034ebafa3e306fc626

Observation 4841d825-398b-419d-bdb0-70022c9f85ad · outbound

This paper cites and Sisto, Alessandro , TITLE =.

Coarse embeddings of products of trees as quasi-isometry invariants and Sisto, Alessandro , TITLE =

Reference 51

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.827580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:e9e53ae176b540fbf8c13f6dab8c72bd3f352e044cc643c887b81ba8b3475336

Observation 00e158cd-c19d-48bf-87d4-7fb1d62c5a3a · outbound

This paper cites Geometry & Topology , volume=.

Coarse embeddings of products of trees as quasi-isometry invariants Geometry & Topology , volume=

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:56:59.562800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:af50c79ec072dbadaaaaf2447449e8832c7556bc31ebe250e75290a167d39dd7

Observation 1a4e592c-a405-4502-a819-2d912db32caa · outbound

This paper cites Pacific J.

Coarse embeddings of products of trees as quasi-isometry invariants Pacific J

Reference 53

Resolution
verified exact
doi, observed 2026-07-10T08:56:58.809006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:0ec0c12a791d5a12350dacf0c481b0a4301c3a26b79ac7606b7b6469b34cd784

Observation 3f1779c0-4ebe-488c-bf95-ef09a29b5caa · outbound

This paper cites Beyond hyperbolicity , SERIES =.

Coarse embeddings of products of trees as quasi-isometry invariants Beyond hyperbolicity , SERIES =

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T08:56:59.564457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:14b7d05448cd8b31f4e30f63e245616ef57829a1eb71e624efb99bf6521a9b99

Observation 0007fd5c-51f7-4878-ae56-effeb48c0a5e · outbound

This paper cites Quasi-isometry classification of right-angled Artin groups II: several infinite out cases.

Coarse embeddings of products of trees as quasi-isometry invariants Quasi-isometry classification of right-angled Artin groups II: several infinite out cases

Reference 55

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T08:56:59.046791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-07-10T08:48:42.114505Z digest=sha256:150f3be05093f68ef5f2a532c18e4e363bcdcbffb36ef7be345bcca2a160c00d

Pith citing papers

No inbound Pith citation observations are available.