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Paper Citation Record · LEDGER

Overgroups of the arboreal representation of PCF polynomial

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.00456.

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

pith.paper-citation-record.v1
2506.00456 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:13:16.995630Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82b11fb3-3347-44a9-afd5-2471305e0e7d · outbound

This paper cites Benedetto, Jennifer Cain, Gregory Carroll, and Lily Fang.

Overgroups of the arboreal representation of PCF polynomial Benedetto, Jennifer Cain, Gregory Carroll, and Lily Fang

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:19.784396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.480814Z digest=sha256:b1f27cb687ac158f75357e7b77f88e3975db0af73f91372879e1ad4e9160451f

Observation 5ac66034-c320-4ae2-a229-2fe51d174f8d · outbound

This paper cites Benedetto, Xander Faber, Benjamin Hutz, Jamie Juul, and Yu Yasufuku.

Overgroups of the arboreal representation of PCF polynomial Benedetto, Xander Faber, Benjamin Hutz, Jamie Juul, and Yu Yasufuku

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T12:13:13.545172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:13:13.545172Z digest=sha256:5f393ceed486d177bab84a543779074b6fe92bfe5befe3771440425bb7978653

Observation 77f43610-c896-401b-b546-7c0155a1cf5c · outbound

This paper cites an unresolved cited work.

Overgroups of the arboreal representation of PCF polynomial Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:13:19.605354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.611279Z digest=sha256:196e4f2b064d16e8344a2246fd8d3dc6a5489de202171d28c2c4e56be473e9e8

Observation 8346332f-697a-4a64-8c46-f24652cfdbef · outbound

This paper cites an unresolved cited work.

Overgroups of the arboreal representation of PCF polynomial Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:13:19.468954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.690928Z digest=sha256:5dd68bef0262a6cbec4410cbad81f2258a1d215fb1eee28f5cb30a317a5f3159

Observation ff2de043-efba-4201-8a8e-ee2d4f1915f0 · outbound

This paper cites Bush, Wade Hindes, and Nicole R.

Overgroups of the arboreal representation of PCF polynomial Bush, Wade Hindes, and Nicole R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:19.307761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.769841Z digest=sha256:2e776fc9b6d223b1c0eb86095b3154c868f2dd5c03818afdee4bee0152078180

Observation 9724f132-fde7-46f2-a6b1-e985b144454a · outbound

This paper cites Ramification in iterated towers for rational functions.

Overgroups of the arboreal representation of PCF polynomial Ramification in iterated towers for rational functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:19.148113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.838376Z digest=sha256:1b53e1914ca1fd65a561ec21b82044d480b96d75efb1e1788132282b0ff2659e

Observation 473c0726-734e-44ed-8a4c-9fe7c37bed27 · outbound

This paper cites Finite groups that need more generators than any proper quotient.

Overgroups of the arboreal representation of PCF polynomial Finite groups that need more generators than any proper quotient

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:19.007178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.894518Z digest=sha256:12e6cc43ee3cd684c52ea89692d5df1004b63c4c98595afed5f84b4d84afeb0c

Observation 5fcdabf9-9c25-4b9b-852e-2a929016a017 · outbound

This paper cites Detomi and A.

Overgroups of the arboreal representation of PCF polynomial Detomi and A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.906706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:13.960773Z digest=sha256:379b2ee86a9e9e7b01c0539f2a8a3df013b7280e7f919081265dc18caf3c984e

Observation 670b9651-b0f0-4960-ab7a-a43389623409 · outbound

This paper cites Quadratic recurrences with a positive density of prime divisors.

Overgroups of the arboreal representation of PCF polynomial Quadratic recurrences with a positive density of prime divisors

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.806392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.056254Z digest=sha256:e0d3b04fa7e94feb723c11c6d1774011dd5f1a92925c7af633c54a915d9f9049

Observation 53df7043-1ab4-42c0-9e45-c0c92d1672b6 · outbound

This paper cites Gratton, K.

Overgroups of the arboreal representation of PCF polynomial Gratton, K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.732560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.139788Z digest=sha256:4ad423ee78cf5a8b1d302582c10956ed18a45ae7ba2d255c03ea0f9bd61f4bae

Observation cba7fbd8-4303-41c7-bb34-15b926d1d458 · outbound

This paper cites The density of primes in orbits of zd + c.

Overgroups of the arboreal representation of PCF polynomial The density of primes in orbits of zd + c

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.647445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.220276Z digest=sha256:71705db21c03ca47ebe1b3847e6a8b429cf208e592bbc46b27714868acaff93b

Observation 5fe9060b-a891-40cb-af6e-2b70619b2570 · outbound

This paper cites Points on elliptic curves parametrizing dynamical Galois groups.Acta Arith., 159(2):149– 167, 2013.

Overgroups of the arboreal representation of PCF polynomial Points on elliptic curves parametrizing dynamical Galois groups.Acta Arith., 159(2):149– 167, 2013

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.572946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.292652Z digest=sha256:afd450f511b4f68bcc614bce36e9b9390b7a04a5cca08214dfb878517fdf32e6

Observation 657a194c-15db-4ad5-b0dd-e64956aec080 · outbound

This paper cites Martin Isaacs.

Overgroups of the arboreal representation of PCF polynomial Martin Isaacs

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.507057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.394161Z digest=sha256:944de0fd21c660a0b1c2fdff905f344e7ee65d21d0709894ca0964420db0db2c

Observation 2fa97c06-05f4-4c33-8fa0-8e4876867cec · outbound

This paper cites The density of prime divisors in the arithmetic dynamics of quadratic polynomials.

Overgroups of the arboreal representation of PCF polynomial The density of prime divisors in the arithmetic dynamics of quadratic polynomials

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.441353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.460418Z digest=sha256:f4a24ad387c9e77d7753bd70feb4dab5abe0453948213897c37247b89d824850

Observation 56229899-326c-4423-8068-cd7f624cd4bb · outbound

This paper cites Théorie des Nombres et Applications.

Overgroups of the arboreal representation of PCF polynomial Théorie des Nombres et Applications

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.332828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.553329Z digest=sha256:5ba7df036d44355e4beddc5382ab1cbb41ee2faf0b6715754b2694047c5c2918

Observation 69b78515-da1e-46fe-b32a-032b10ccb16d · outbound

This paper cites Galois theory of quadratic rational functions.

Overgroups of the arboreal representation of PCF polynomial Galois theory of quadratic rational functions

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.221897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.636215Z digest=sha256:fe4526c03af984d0c3092892cfcef3bc083604f0f59d9518f8c1598cdb1cd075

Observation 70a9aab2-74d6-40db-a604-77f55928b809 · outbound

This paper cites an unresolved cited work.

Overgroups of the arboreal representation of PCF polynomial Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:13:18.155057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.705794Z digest=sha256:eaa1f565643df5e840d220dc4b4b7a94e8996eabc2beb7f52b12efbd61b5949f

Observation 27788a86-bbcb-46d1-98e5-43804638c369 · outbound

This paper cites Galois Groups of Iterated Rational Maps and their Applications.

Overgroups of the arboreal representation of PCF polynomial Galois Groups of Iterated Rational Maps and their Applications

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:18.057943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.788958Z digest=sha256:e64ed40abe756ddcd94117c75b93477f2b0fcb55eb1e7930101fe67bfb40a8fd

Observation 99ab6c3d-ef2a-4260-bee3-314d22f1ce04 · outbound

This paper cites Arboreal Galois representation for a certain type of quadratic polynomials.

Overgroups of the arboreal representation of PCF polynomial Arboreal Galois representation for a certain type of quadratic polynomials

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:17.955465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:14.942373Z digest=sha256:fc96d0695ee93b8067a2566d416875b926b1ff6e126ae746eab540f9f7697938

Observation ea6c6b8c-c5fa-485b-9a64-f233de548865 · outbound

This paper cites Dynamical Galois groups of trinomials and Odoni’s conjecture.

Overgroups of the arboreal representation of PCF polynomial Dynamical Galois groups of trinomials and Odoni’s conjecture

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:17.879369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:15.592410Z digest=sha256:04a4e30a78aed5a628461af91124cb15f2e0e82f7f6fd0e2fe633e6516d5aa9f

Observation b01f63b7-d7b2-40f9-a986-2d8e1182eb1c · outbound

This paper cites an unresolved cited work.

Overgroups of the arboreal representation of PCF polynomial Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:13:17.792108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:16.561486Z digest=sha256:37cb57f84a92d5984da25f47d5d4b192f07c4ab111e416d8e6de933777aa5763

Observation d772de6a-22fa-4f2a-bdc1-efc486413707 · outbound

This paper cites an unresolved cited work.

Overgroups of the arboreal representation of PCF polynomial Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:13:17.674982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:16.641722Z digest=sha256:e3723a68bb81d535f951f32b90f3614e139abd3920c7715e73fc69d2a3ffcf2f

Observation a5c81457-0e7a-4d0f-8d73-177e4fa232fa · outbound

This paper cites Topics in Arithmetic Dynamical Systems.

Overgroups of the arboreal representation of PCF polynomial Topics in Arithmetic Dynamical Systems

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:17.583670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:16.740155Z digest=sha256:53b624162b892e6327c23e2117ee74e4e82518f41d72bebbd2953ffdea946ad8

Observation 7ae1ee79-a54f-43a0-87a4-1d8ff19fa190 · outbound

This paper cites Profinite iterated monodromy groups arising from quadratic morphisms with infinite postcritical orbits, 2013.

Overgroups of the arboreal representation of PCF polynomial Profinite iterated monodromy groups arising from quadratic morphisms with infinite postcritical orbits, 2013

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:17.482268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:16.863409Z digest=sha256:d39919fc56c360c369fac79823e784d3d17f069531cb94fc475b40d9edaea37b

Observation 3b38a3b5-3365-40ee-9b76-7a60ed2c5b1d · outbound

This paper cites Propriétés galoisiennes des points d’ordre fini des courbes elliptiques.

Overgroups of the arboreal representation of PCF polynomial Propriétés galoisiennes des points d’ordre fini des courbes elliptiques

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:13:17.256898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:13:16.995630Z digest=sha256:8a9cb2eebb9ff358c94f9881fe8696516721004723d831c7297746b9535e8d06

Pith citing papers

No inbound Pith citation observations are available.