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Paper Citation Record · LEDGER

Independence of multipliers in several variables complex dynamics

As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2411.12856.

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

pith.paper-citation-record.v1
2411.12856 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:15:22.827381Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy20
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf0db5b9-da46-494b-8eb8-94fd4369187a · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.554131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 0b07260c-b187-4f75-b18d-2fda612ba308 · outbound

This paper cites Reine Angew.

Independence of multipliers in several variables complex dynamics Reine Angew

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.537871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.680358Z digest=sha256:fb61e419e9bb31711cab517768338b27365a3d1ea785205cbe462d8e05daa51f

Observation 58701444-6440-4ab2-9c7b-9b092474ad49 · outbound

This paper cites Bedford and M.

Independence of multipliers in several variables complex dynamics Bedford and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.520993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.685244Z digest=sha256:f7949f7f1a0e930d7cb7a85bf3d76a17d1da97385b03561d784c6e1e1786f7ee

Observation fff94976-829a-4504-997c-03261d9756ee · outbound

This paper cites Bousch, Sur quelques probl´ emes de la dynamique holomorphe, 1992.

Independence of multipliers in several variables complex dynamics Bousch, Sur quelques probl´ emes de la dynamique holomorphe, 1992

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.504619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.689951Z digest=sha256:c05158ac9fab5e47d42b7555148963a9c415dfa1d7a43484f5624f5e9efaf545

Observation 8218b11c-cdb3-4dda-99f3-e0378007bd6c · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.489742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.694833Z digest=sha256:7c988d3e6fb4c32d3be2ff155a90973aa213f48f8db57d1f9b628119787379d1

Observation 83999940-5813-41c0-b763-a19f748c26fb · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.474545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.699470Z digest=sha256:ea1988635e0d69f80d010bc76064c2559bb672339881ca42afd68026174eebbf

Observation 85f1a75c-1ae9-4103-9514-fd4a64dbb8c5 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.459572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.704467Z digest=sha256:108e901a0e55e842c25c763b680c7b301b2497c9dc471f1fc7cac7a0cfeed097

Observation 84cc69c5-3e32-44a0-90dc-579adb4d2ec5 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.442766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.708998Z digest=sha256:0018fcc0b78ed5649dd29e93815ef186ca562c4c9b40ff33a949613fa677d8c5

Observation 3274051a-fff7-4af7-ad26-21b63c0d5caf · outbound

This paper cites Dinh and N.

Independence of multipliers in several variables complex dynamics Dinh and N

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.427177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.713583Z digest=sha256:a4393412b08d5436e8bddd2873b6b7c2ef4884da82815132b09bf25030a0c9fe

Observation ee7d63be-4525-436e-adc8-62e2d26a6edd · outbound

This paper cites Douady and P.

Independence of multipliers in several variables complex dynamics Douady and P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.409666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.718175Z digest=sha256:a488bf68fb9c9711a7de8d8890e5b642e0003b0016d71c60d40edc6521c1b909

Observation 93c1f557-fa7c-4a03-8cb7-031c86be7e2c · outbound

This paper cites Doyle and J.

Independence of multipliers in several variables complex dynamics Doyle and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.393562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.722760Z digest=sha256:49c197db5ca53511ca02a4684d291c3ab6abeed3502460c8e02109858d701ff7

Observation 537b7a4f-8a03-46e0-91b3-d71bf9ee94e2 · outbound

This paper cites Dujardin, Non-density of stability for holomorphic mappings on Pk, J.

Independence of multipliers in several variables complex dynamics Dujardin, Non-density of stability for holomorphic mappings on Pk, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.378237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.727700Z digest=sha256:0d274bbc0e992781bcde8eb181621dc4a32fecee9533e03ba38ff823f335622c

Observation 8941d0a9-39a9-48d9-a801-371b37a48b11 · outbound

This paper cites Fakhruddin, The algebraic dynamics of generic endomorphisms of Pn, Algebra Number Theory 8 (2014), no.

Independence of multipliers in several variables complex dynamics Fakhruddin, The algebraic dynamics of generic endomorphisms of Pn, Algebra Number Theory 8 (2014), no

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.363788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.732395Z digest=sha256:cb8480eecaba7deba43e52577841928d1ab89b18b163b0655a126f385073ad83

Observation d8a6e737-4b20-45ab-9995-487ff7947894 · outbound

This paper cites 214, Princeton University Press, Pri nceton, NJ, [2022] ©2022.

Independence of multipliers in several variables complex dynamics 214, Princeton University Press, Pri nceton, NJ, [2022] ©2022

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.348459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.736861Z digest=sha256:523880dd1d6c4f83ec75a12e6be203910355d5edef168bf0ab62918fce4a77b0

Observation 813eb7db-f354-433d-acbd-9b48dae4aa5b · outbound

This paper cites Gauthier, J.

Independence of multipliers in several variables complex dynamics Gauthier, J

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-12T17:15:23.032226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.741485Z digest=sha256:98df6b5995e35f81aacb5c36bf897ba4bb2c02915363661acb073af45d4e394a

Observation e781a562-7fcd-47e9-9450-e49fa170f064 · outbound

This paper cites Gauthier and G.

Independence of multipliers in several variables complex dynamics Gauthier and G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.330603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.746558Z digest=sha256:48fbdca735b282bec78fcface5d4bee1538662000ee88b0a76b2efdb093979c6

Observation 5ded3c3a-f879-4b41-8420-d42b0b5b802e · outbound

This paper cites Gorbovickis, Algebraic independence of multipliers of periodic orbits i n the space of rational maps of the Riemann sphere , Mosc.

Independence of multipliers in several variables complex dynamics Gorbovickis, Algebraic independence of multipliers of periodic orbits i n the space of rational maps of the Riemann sphere , Mosc

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.315234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.751109Z digest=sha256:a096a2fb0ded74ba31dfc3de36429a75af432c4725fa240a04ad673b431b3d30

Observation 26eedb8f-5d61-4aed-9f03-5f9c27bef29a · outbound

This paper cites Systems 36 (2016), no.

Independence of multipliers in several variables complex dynamics Systems 36 (2016), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.293651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.755485Z digest=sha256:25610bb7d4949f9a4ae023730265c81aa979d8b4498075de779d95b2a1a840e9

Observation 07833f75-49fd-4122-b5dd-caad8371cb3e · outbound

This paper cites Moduli spaces of polynomial maps and multipliers at small cycles.

Independence of multipliers in several variables complex dynamics Moduli spaces of polynomial maps and multipliers at small cycles

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T17:15:22.760579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:15:22.760579Z digest=sha256:53542ebfa8eabc62f337b8c3041e7081eb694fada294b80e55debbbcce380f01

Observation de136508-ed05-461b-a80b-307ae64424f8 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.272074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.765902Z digest=sha256:8859090503e20ba71d6a0f2e5cc071fccd04cfbd96eb105ddd2955067b173243

Observation 951ad0ff-58ca-4e5f-aba2-192b984ee54d · outbound

This paper cites Ingram, The critical height is a moduli height , Duke Math.

Independence of multipliers in several variables complex dynamics Ingram, The critical height is a moduli height , Duke Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.256720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.770567Z digest=sha256:165197e73696d34731af4c5b43dc28c1aa0a5aee74e74ea472690608bb808679

Observation a72b5156-7044-45b5-9186-47aaa6c69cab · outbound

This paper cites Silverman, Post-critically finite maps on Pn for n ≥ 2 are sparse, 2019.

Independence of multipliers in several variables complex dynamics Silverman, Post-critically finite maps on Pn for n ≥ 2 are sparse, 2019

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.241021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.775681Z digest=sha256:6f1d3a6d9faaba2396a41d3f6d34dd7ca75ad1df933d875562b04a183ecaa231

Observation e3a23faa-c6be-48ea-b81c-7d1a769d6a43 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.223861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.780258Z digest=sha256:4b41968fb39301cae8b93adabe0af8b184b42f9236641534595fd2ed49df27bf

Observation 41f2c3af-03d0-4264-8d8b-168fb039ab9f · outbound

This paper cites Pi 11 (2023), Paper No.

Independence of multipliers in several variables complex dynamics Pi 11 (2023), Paper No

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.205090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.784667Z digest=sha256:894f4e77fda5305f2da9e047d08c7c53083e91053a7555c0c199c9c2fe0d39e7

Observation 9a1f7bcb-c572-48cd-8108-4371c5276484 · outbound

This paper cites arXiv:2309.15382.

Independence of multipliers in several variables complex dynamics arXiv:2309.15382

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-12T17:15:22.789346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:15:22.789346Z digest=sha256:208434e10657ba600bfd21f3b9e79081de6c044e7e60e304321c2c8253e8a45e

Observation 12b42cbc-44f5-4c4f-9bec-a6c87de7da25 · outbound

This paper cites Translated from the Polish by Maciej Klimek.

Independence of multipliers in several variables complex dynamics Translated from the Polish by Maciej Klimek

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.188368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.793896Z digest=sha256:88e58eb098cd1c91603e4834171c65ffeee1a441f9be4b9716dcdae3ce5da1da

Observation 32477581-bc9c-40ea-8d84-bce1d869c920 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.167029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.798628Z digest=sha256:73d46b8f8671cb8282b307566b010c34a9898bee4eb9e9f77b6261909da10edc

Observation 17ae8628-2850-4951-889f-5b2f5c2fc0ee · outbound

This paper cites McMullen, Families of rational maps and iterative root-finding algori thms, Ann.

Independence of multipliers in several variables complex dynamics McMullen, Families of rational maps and iterative root-finding algori thms, Ann

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.148502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.804029Z digest=sha256:70ede40e6c573d996adc1e07ecb2a5a8be60c1495ca28936e05fc62776865a25

Observation e3ce1c5d-8630-4e5d-b693-615fa9402f5a · outbound

This paper cites Morton, Galois groups of periodic points , J.

Independence of multipliers in several variables complex dynamics Morton, Galois groups of periodic points , J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.128868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.808498Z digest=sha256:3b4d6f12f6fd4dd2291276866f290021e2d7bd42ff344e6bbe34173e5dcfd630

Observation 2a5402e1-1cae-40b7-a3e7-4c21552dfef1 · outbound

This paper cites Algebra 322 (2009), no.

Independence of multipliers in several variables complex dynamics Algebra 322 (2009), no

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.109809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.813118Z digest=sha256:36364466ae9df100e80b70d72956d9e688157b60102a89686da0f91795803e3f

Observation ef1d81c7-d09e-4524-ae55-e3a8ff3dd80e · outbound

This paper cites Schleicher, Internal addresses of the Mandelbrot set and Galois groups o f polynomials, Arnold Math.

Independence of multipliers in several variables complex dynamics Schleicher, Internal addresses of the Mandelbrot set and Galois groups o f polynomials, Arnold Math

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:15:23.090835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.817610Z digest=sha256:5087608937f2e0bcbad4b15a2f01a2f46f7910dc2d5018843a837f2c6562065f

Observation 712f52b9-d4ca-450a-a191-6179cccbadc3 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.071143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.822910Z digest=sha256:94b963117a511f1cf09f7e10b43dca40c579560e61000fc8511989b32d31fcbb

Observation 3c5a5030-33cd-44e9-9436-ae470763e5b5 · outbound

This paper cites an unresolved cited work.

Independence of multipliers in several variables complex dynamics Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:15:23.052057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T17:15:22.827381Z digest=sha256:95263054d68fa2275a215e3e6be9554e1f6271d88cdc4a4214cbf8228e9b1a8c

Pith citing papers

No inbound Pith citation observations are available.