Paper Citation Record · LEDGER

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08214.

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

pith.paper-citation-record.v1
1908.08214 v3

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:54:13.971514Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

22 of 22 outbound references displayed

verified exact3
verified fuzzy18
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e98fe471-a759-478f-9230-6c7cd9add3e6 · outbound

This paper cites an unresolved cited work.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:14.219826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3be145ea-984d-4f09-b23b-be2056fe78c9 · outbound

This paper cites Laminations, trees, and irreducible automor- phisms of free groups.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Laminations, trees, and irreducible automor- phisms of free groups

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.210127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f13e6e50-73b9-45d1-a70c-baa68deade7b · outbound

This paper cites Laminations, trees, and irreducible automor- phisms of free groups.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Laminations, trees, and irreducible automor- phisms of free groups

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.200802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1f758671-caca-4cc5-a479-50db7a186981 · outbound

This paper cites Train tracks and automorphisms of free groups.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Train tracks and automorphisms of free groups

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.191292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc9e6d2f-0e87-4810-b1a9-4d7b6c0bd84f · outbound

This paper cites Neumann, and Ralph Strebel.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Neumann, and Ralph Strebel

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.181901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4fcf0718-fdb5-4670-a54b-b92a125984b2 · outbound

This paper cites Hyperbolic automorphisms of free groups.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Hyperbolic automorphisms of free groups

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.172482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e806fa21-e418-4206-ad26-76142881cfbe · outbound

This paper cites Moduli of graphs and automorphisms of free groups.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Moduli of graphs and automorphisms of free groups

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.162307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34ced91f-986b-44f9-81db-2464d7e7a74a · outbound

This paper cites The group ﬁxed by a family of injective endomorphisms of a free group, volume 195 of Contemporary Mathematics.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic The group ﬁxed by a family of injective endomorphisms of a free group, volume 195 of Contemporary Mathematics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.152724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 778f0dd8-48a9-4c8a-af76-26f3fc8e7ae9 · outbound

This paper cites Leininger.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Leininger

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.142310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 799f0162-a53e-4c53-b41a-64e5c18a644c · outbound

This paper cites Leininger.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Leininger

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.132436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a1690b86-94f7-49a8-b2eb-f32d7a6b064d · outbound

This paper cites Algorithmic detectability of iwip automorphisms.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Algorithmic detectability of iwip automorphisms

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.123301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39259631-61d5-48f8-8ee6-10c479557862 · outbound

This paper cites Detecting fully irreducible automorphisms: a polynomial time algorithm.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Detecting fully irreducible automorphisms: a polynomial time algorithm

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.113487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d414ce10-7f99-4970-9fdf-8f2747c7bb21 · outbound

This paper cites Irreducible automorphisms of Fn have north-south dynamics on compactiﬁed outer space.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Irreducible automorphisms of Fn have north-south dynamics on compactiﬁed outer space

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.104028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4b0eedb0-c319-4613-aaa0-6bfd9be16288 · outbound

This paper cites Irreducibility of a Free Group Endomorphism is a Mapping Torus Invariant.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Irreducibility of a Free Group Endomorphism is a Mapping Torus Invariant

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:54:14.032732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 510fbc1f-1375-47fd-844c-e617ac31bfac · outbound

This paper cites Hyperbolic Immersions of Free Groups.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Hyperbolic Immersions of Free Groups

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:54:14.018903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7135f5ca-67a0-49c0-8a0e-e17df7112654 · outbound

This paper cites Ideal Whitehead graphs in Out(Fr) II: the complete graph in each rank.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Ideal Whitehead graphs in Out(Fr) II: the complete graph in each rank

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.094336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2f0bb2ec-623d-490b-a52f-26cc409202fb · outbound

This paper cites Dynamics of Irreducible Endomorphisms of $F_n$.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Dynamics of Irreducible Endomorphisms of $F_n$

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:54:14.003409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 313387ee-7f6b-409f-ae4a-70e527ca0169 · outbound

This paper cites Stallings.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Stallings

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.084273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 076caf09-12be-4810-9386-5fe7288f52f1 · outbound

This paper cites Thurston.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Thurston

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.074685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ee94b265-65af-4cd0-924a-710415d45c91 · outbound

This paper cites Thurston.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Thurston

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.064403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2c407272-857e-494c-a19a-079507cf2115 · outbound

This paper cites Automorphisms of free groups and outer space.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Automorphisms of free groups and outer space

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.053619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cecc33bc-0fd5-4950-8c48-935f09eaa4d6 · outbound

This paper cites Contractibility of outer space: reprise.

Irreducible Nonsurjective Endomorphisms of $F_n$ are Hyperbolic Contractibility of outer space: reprise

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:14.043509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.