Paper Citation Record · LEDGER

The $K(\pi, 1)$ conjecture for affine Artin groups

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2509.00445.

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

pith.paper-citation-record.v1
2509.00445 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:39:47.234984Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-25T22:23:02.783672Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T18:50:05.045947Z

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy27
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 567ffe65-80b6-4663-88ea-2cfdd762290c · outbound

This paper cites Athanasiadis, T.

The $K(\pi, 1)$ conjecture for affine Artin groups Athanasiadis, T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:54.505483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5b8c703a-c050-45e0-977c-b0a3deb1f5c5 · outbound

This paper cites Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups, volume 202 of Memoirs of the American Mathematical Society (2009).

The $K(\pi, 1)$ conjecture for affine Artin groups Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups, volume 202 of Memoirs of the American Mathematical Society (2009)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:54.300577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 19730463-22ce-4494-867d-555363262c04 · outbound

This paper cites Bj \"o rner and F.

The $K(\pi, 1)$ conjecture for affine Artin groups Bj \"o rner and F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:54.014526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f1358d04-6bd2-46b6-9f7d-6844efd9ded1 · outbound

This paper cites Bessis, The dual braid monoid, In Annales scientifiques de l'Ecole Normale Sup \'e rieure , volume 36 (2003), 647--683.

The $K(\pi, 1)$ conjecture for affine Artin groups Bessis, The dual braid monoid, In Annales scientifiques de l'Ecole Normale Sup \'e rieure , volume 36 (2003), 647--683

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:53.833898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 72a23648-6d77-4d3a-9b1b-63d05bdf887e · outbound

This paper cites Bj \"o rner, Shellable and Cohen-Macaulay partially ordered sets, Transactions of the American Mathematical Society 260, no.

The $K(\pi, 1)$ conjecture for affine Artin groups Bj \"o rner, Shellable and Cohen-Macaulay partially ordered sets, Transactions of the American Mathematical Society 260, no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:53.656326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c1382850-b7d8-461f-b320-1c4d254e6240 · outbound

This paper cites Birman, K.

The $K(\pi, 1)$ conjecture for affine Artin groups Birman, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:53.423944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1ae7d42a-3a9c-47da-b565-c79ddcdc7093 · outbound

This paper cites Bourbaki, Groupes et alg \`e bres de Lie , chapter 4-6, Hermann (1968).

The $K(\pi, 1)$ conjecture for affine Artin groups Bourbaki, Groupes et alg \`e bres de Lie , chapter 4-6, Hermann (1968)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:53.222832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e24a80a-4657-4700-8884-64addb4366d4 · outbound

This paper cites Brieskorn, Die Fundamentalgruppe des Raumes der regul \"a ren Orbits einer endlichen komplexen Spiegelungsgruppe , Inventiones mathematicae 12, no.

The $K(\pi, 1)$ conjecture for affine Artin groups Brieskorn, Die Fundamentalgruppe des Raumes der regul \"a ren Orbits einer endlichen komplexen Spiegelungsgruppe , Inventiones mathematicae 12, no

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:53.017471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ca4e9586-9ea6-4fbf-baf1-5fd603d99539 · outbound

This paper cites Brieskorn, Sur les groupes de tresses [d'apr \`e s VI Arnol'd] , In S \'e minaire Bourbaki vol.

The $K(\pi, 1)$ conjecture for affine Artin groups Brieskorn, Sur les groupes de tresses [d'apr \`e s VI Arnol'd] , In S \'e minaire Bourbaki vol

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:52.705685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8578fb0c-cbe9-4bd8-a143-cbb8570cfd35 · outbound

This paper cites Bj \"o rner and M.

The $K(\pi, 1)$ conjecture for affine Artin groups Bj \"o rner and M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:52.543557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 087f3f05-d038-4a2a-8674-a31889892704 · outbound

This paper cites Brady and C.

The $K(\pi, 1)$ conjecture for affine Artin groups Brady and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:52.228396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ef50a3d2-a856-45ef-9b80-60dd7073c350 · outbound

This paper cites Charney, J.

The $K(\pi, 1)$ conjecture for affine Artin groups Charney, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:51.992599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ef266329-cd4c-45fc-8cda-2d316b15faf7 · outbound

This paper cites Dehornoy, F.

The $K(\pi, 1)$ conjecture for affine Artin groups Dehornoy, F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:51.796417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3d47825-8267-431d-9253-94cc3790f780 · outbound

This paper cites Deligne, Les immeubles des groupes de tresses g \'e n \'e ralis \'e s , Inventiones Mathematicae 17, no.

The $K(\pi, 1)$ conjecture for affine Artin groups Deligne, Les immeubles des groupes de tresses g \'e n \'e ralis \'e s , Inventiones Mathematicae 17, no

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:51.448340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cc12a13a-2422-49eb-bbd4-452b68edf29e · outbound

This paper cites Digne, Pr \'e sentations duales des groupes de tresses de type affine A , Commentarii Mathematici Helvetici 81, no.

The $K(\pi, 1)$ conjecture for affine Artin groups Digne, Pr \'e sentations duales des groupes de tresses de type affine A , Commentarii Mathematici Helvetici 81, no

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:51.164969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 533738ab-6849-4f3a-9914-38977ee7e4c9 · outbound

This paper cites Digne, A Garside presentation for Artin-Tits groups of type C_n , In Annales de l'Institut Fourier, volume 62 (2012), 641--666.

The $K(\pi, 1)$ conjecture for affine Artin groups Digne, A Garside presentation for Artin-Tits groups of type C_n , In Annales de l'Institut Fourier, volume 62 (2012), 641--666

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:50.828929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5ba43d82-f25e-4bbb-bad2-8c1c4494debf · outbound

This paper cites Dehornoy and Y.

The $K(\pi, 1)$ conjecture for affine Artin groups Dehornoy and Y

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:50.547548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ff8d40e0-9a84-4cbd-a6b0-74c69fce7fa9 · outbound

This paper cites Dehornoy and L.

The $K(\pi, 1)$ conjecture for affine Artin groups Dehornoy and L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:50.244155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 99c264cf-4486-4ae6-8376-a5b04ac372c2 · outbound

This paper cites Delucchi, G.

The $K(\pi, 1)$ conjecture for affine Artin groups Delucchi, G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:49.954951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 455f7b62-bf93-4d69-ac3d-1a8b7299a7dd · outbound

This paper cites Godelle and L.

The $K(\pi, 1)$ conjecture for affine Artin groups Godelle and L

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:49.745230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f8b72b40-22de-4dc4-865d-332a827dd031 · outbound

This paper cites an unresolved cited work.

The $K(\pi, 1)$ conjecture for affine Artin groups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:39:49.542109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0566bf2c-0ce5-4a91-939b-b604ef4c1cf1 · outbound

This paper cites an unresolved cited work.

The $K(\pi, 1)$ conjecture for affine Artin groups Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:39:49.205850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3702b38d-e713-4c72-bd57-79f19c278833 · outbound

This paper cites McCammond, Dual euclidean Artin groups and the failure of the lattice property, Journal of Algebra 437 (2015), 308--343.

The $K(\pi, 1)$ conjecture for affine Artin groups McCammond, Dual euclidean Artin groups and the failure of the lattice property, Journal of Algebra 437 (2015), 308--343

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:48.970300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 72fd0fca-f2d3-45d3-95a3-77146f6480f3 · outbound

This paper cites McCammond and R.

The $K(\pi, 1)$ conjecture for affine Artin groups McCammond and R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:48.614533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0737a72e-2656-4f0e-8e2a-43a637acaa27 · outbound

This paper cites Paolini, The dual approach to the K( , 1) conjecture, arXiv preprint arXiv:2112.05255 (2021).

The $K(\pi, 1)$ conjecture for affine Artin groups Paolini, The dual approach to the K( , 1) conjecture, arXiv preprint arXiv:2112.05255 (2021)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T13:39:46.462298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2208d713-021f-40d5-bd55-a15079d15209 · outbound

This paper cites Paris, K( , 1) conjecture for Artin groups, In Annales de la Facult \'e des Sciences de Toulouse Math \'e matiques , volume 23 (2014), 361--415.

The $K(\pi, 1)$ conjecture for affine Artin groups Paris, K( , 1) conjecture for Artin groups, In Annales de la Facult \'e des Sciences de Toulouse Math \'e matiques , volume 23 (2014), 361--415

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:48.357501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 21d3a5c6-3331-4790-87cb-f6c049a78175 · outbound

This paper cites Paolini and M.

The $K(\pi, 1)$ conjecture for affine Artin groups Paolini and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:48.169281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8efa4274-caec-4d62-bbb4-39344f801a22 · outbound

This paper cites Salvetti, Topology of the complement of real hyperplanes in C ^N , Inventiones Mathematicae 88, no.

The $K(\pi, 1)$ conjecture for affine Artin groups Salvetti, Topology of the complement of real hyperplanes in C ^N , Inventiones Mathematicae 88, no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:47.943562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 743a8828-cb64-473e-82ad-e4f8eb8bfc77 · outbound

This paper cites Salvetti, The homotopy type of Artin groups, Mathematical Research Letters 1, no.

The $K(\pi, 1)$ conjecture for affine Artin groups Salvetti, The homotopy type of Artin groups, Mathematical Research Letters 1, no

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:47.734563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a0d33c21-523f-4178-a076-a0866a69df9a · outbound

This paper cites van der Lek, The homotopy type of complex hyperplane complements, Ph.D.

The $K(\pi, 1)$ conjecture for affine Artin groups van der Lek, The homotopy type of complex hyperplane complements, Ph.D

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:39:47.512706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5cfbf220-82f3-4fa7-b865-0207a3a3389c · outbound

This paper cites Poset Topology: Tools and Applications.

The $K(\pi, 1)$ conjecture for affine Artin groups Poset Topology: Tools and Applications

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T13:39:47.234984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 69909e35-cd32-479d-933b-eaaf44664764 · inbound

Non-asphericity of strata of genus-one differentials and stability spaces cites this paper.

Non-asphericity of strata of genus-one differentials and stability spaces The $K(\pi, 1)$ conjecture for affine Artin groups

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:50:05.047461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.