Paper Citation Record · LEDGER

Bond thickenings of the simplicial boundary of Outer space

As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2608.04456.

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

pith.paper-citation-record.v1
2608.04456 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:48:48.121189Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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verified fuzzy4
unresolved13
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malformed identifier5
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External citation measurements

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Outbound references

Observation 9a49dce0-b5fa-4f55-a1bb-8f3e340cf325 · outbound

This paper cites Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$.

Bond thickenings of the simplicial boundary of Outer space Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$

Reference 1

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Observation cb35cb6f-e9c2-4c3f-b86b-df45abe51a59 · outbound

This paper cites The topology at infinity ofOut(Fn).

Bond thickenings of the simplicial boundary of Outer space The topology at infinity ofOut(Fn)

Reference 2

Resolution: verified exact; doi, observed 2026-08-15T14:48:49.317836Z

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Observation aed4f30b-aab5-4019-a04c-5927a38a7b2b · outbound

This paper cites Geometry of the space of phylogenetic trees.

Bond thickenings of the simplicial boundary of Outer space Geometry of the space of phylogenetic trees

Reference 3

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Observation c54e2f8a-a3a8-48df-ae8d-42fc07fc4e87 · outbound

This paper cites Corners and arithmetic groups.

Bond thickenings of the simplicial boundary of Outer space Corners and arithmetic groups

Reference 4

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Observation 96b8378d-341a-4333-8557-d670e02360b7 · outbound

This paper cites Bordifications of the moduli spaces of tropical curves and abelian vari- eties, and unstable cohomology ofGLg(Z) and SLg(Z).

Bond thickenings of the simplicial boundary of Outer space Bordifications of the moduli spaces of tropical curves and abelian vari- eties, and unstable cohomology ofGLg(Z) and SLg(Z)

Reference 5

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Observation d4b9cfea-1d53-4653-bc9d-0a0df7e4dd64 · outbound

This paper cites Hopf algebras in the cohomology of $\mathcal{A}_g$, $\mathrm{GL}_n(\mathbb{Z})$, and $\mathrm{SL}_n(\mathbb{Z})$.

Bond thickenings of the simplicial boundary of Outer space Hopf algebras in the cohomology of $\mathcal{A}_g$, $\mathrm{GL}_n(\mathbb{Z})$, and $\mathrm{SL}_n(\mathbb{Z})$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:47.686742Z

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Observation c840c1a1-450b-4ec3-953b-6fb6a5c80788 · outbound

This paper cites an unresolved cited work.

Bond thickenings of the simplicial boundary of Outer space Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:47.691025Z

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Observation 063380ae-a69a-4dc3-87dc-949f6620c986 · outbound

This paper cites Between buildings and free factor complexes.

Bond thickenings of the simplicial boundary of Outer space Between buildings and free factor complexes

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:48:49.683319Z

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Observation 4d2e52e9-f5b5-4250-b73b-3a5cb363eef2 · outbound

This paper cites Homotopy type of the complex of free factors of a free group.

Bond thickenings of the simplicial boundary of Outer space Homotopy type of the complex of free factors of a free group

Reference 9

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Observation d2d7dd5e-0c30-4d2b-aa85-2b037e3b8721 · outbound

This paper cites Graph homology computations.

Bond thickenings of the simplicial boundary of Outer space Graph homology computations

Reference 10

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Observation 202ca082-ec25-4fd0-bc35-a3ceb1249e8c · outbound

This paper cites Model theory and groups.

Bond thickenings of the simplicial boundary of Outer space Model theory and groups

Reference 11

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Observation ea584d89-de7e-4607-a05c-d3581b0a4c16 · outbound

This paper cites Non-vanishing uni- tary cohomology of low-rank integral special linear groups.

Bond thickenings of the simplicial boundary of Outer space Non-vanishing uni- tary cohomology of low-rank integral special linear groups

Reference 12

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Observation da811362-e7e7-403e-9522-454b871f1806 · outbound

This paper cites An analogue of Rognes’ connectivity conjecture for free groups.

Bond thickenings of the simplicial boundary of Outer space An analogue of Rognes’ connectivity conjecture for free groups

Reference 13

Resolution: verified exact; doi, observed 2026-08-15T14:48:49.029448Z

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Observation 3320296b-8024-4844-9d24-333f582b69e3 · outbound

This paper cites Connectivity of partial basis complexes of freely decomposable groups.

Bond thickenings of the simplicial boundary of Outer space Connectivity of partial basis complexes of freely decomposable groups

Reference 14

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Observation ef569920-56aa-4e30-950c-980567178eba · outbound

This paper cites The common basis complex and the partial decomposition poset.

Bond thickenings of the simplicial boundary of Outer space The common basis complex and the partial decomposition poset

Reference 15

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Observation 92d87b08-f094-4c08-927b-86aa407ffb91 · outbound

This paper cites Onthebordificationofouterspace.

Bond thickenings of the simplicial boundary of Outer space Onthebordificationofouterspace

Reference 16

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Observation 9c28e255-09fd-4546-a650-0638a63e024d · outbound

This paper cites A stability conjecture for the un- stable cohomology ofSLnZ, mapping class groups, andAut(Fn).

Bond thickenings of the simplicial boundary of Outer space A stability conjecture for the un- stable cohomology ofSLnZ, mapping class groups, andAut(Fn)

Reference 17

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.733033Z

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Observation 45fd4f13-100f-4c9a-b972-40287ac8c138 · outbound

This paper cites Cut vertices in commutative graphs.

Bond thickenings of the simplicial boundary of Outer space Cut vertices in commutative graphs

Reference 18

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Observation aa58e78d-3f3a-497a-989f-096a1ce7eb43 · outbound

This paper cites On a theorem of Kontsevich.

Bond thickenings of the simplicial boundary of Outer space On a theorem of Kontsevich

Reference 19

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Observation befdf02e-e5ad-4cc4-9ce7-a732ef99b601 · outbound

This paper cites Infinitesimal operations on complexes of graphs.

Bond thickenings of the simplicial boundary of Outer space Infinitesimal operations on complexes of graphs

Reference 20

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.718649Z

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Observation 3c030b04-1e1d-4235-9745-f64cd9997ea4 · outbound

This paper cites Moduliofgraphsandautomorphismsoffreegroups.

Bond thickenings of the simplicial boundary of Outer space Moduliofgraphsandautomorphismsoffreegroups

Reference 21

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Observation 4f32b876-2c3c-4e0d-bf70-a9d484a76586 · outbound

This paper cites Graph theory.

Bond thickenings of the simplicial boundary of Outer space Graph theory

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:50.049869Z

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Observation c474b669-0679-4914-b6c3-a7a2fe7bd759 · outbound

This paper cites Voronoi complexes in higher dimensions, cohomology ofGLN(Z) forN≥ 8 and the triviality ofK8(Z).

Bond thickenings of the simplicial boundary of Outer space Voronoi complexes in higher dimensions, cohomology ofGLN(Z) forN≥ 8 and the triviality ofK8(Z)

Reference 23

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.704402Z

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Observation d2b17aa1-7f72-4f34-bed9-c75332d03c86 · outbound

This paper cites Perfect forms, K-theory and the cohomology of modular groups.

Bond thickenings of the simplicial boundary of Outer space Perfect forms, K-theory and the cohomology of modular groups

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:47.822933Z

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Observation d3e4d1e3-ab84-4938-95ca-9506770120bc · outbound

This paper cites Relative free splitting and free factor complexes I: Hyperbolicity.

Bond thickenings of the simplicial boundary of Outer space Relative free splitting and free factor complexes I: Hyperbolicity

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:48:48.688481Z

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Observation 21698de1-c757-4441-b11d-0a82b0c0bedb · outbound

This paper cites AGLn(q) analogue of the partition lattices.

Bond thickenings of the simplicial boundary of Outer space AGLn(q) analogue of the partition lattices

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:48:50.009533Z

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Observation 1a5891f1-4062-484d-97be-b8c0aeb2ffd1 · outbound

This paper cites Homologicalstabilityforautomorphismgroupsoffreegroups.

Bond thickenings of the simplicial boundary of Outer space Homologicalstabilityforautomorphismgroupsoffreegroups

Reference 27

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.676564Z

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Observation a0acc5c0-2d82-4ba2-8829-2033197f2aea · outbound

This paper cites On the torsion inK4(Z) andK5(Z).

Bond thickenings of the simplicial boundary of Outer space On the torsion inK4(Z) andK5(Z)

Reference 28

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.666890Z

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Observation 1fc4dbad-85d7-4ccf-82d6-13ea17aa2a0f · outbound

This paper cites On rank filtrations of algebraic K-theory and Steinberg modules.

Bond thickenings of the simplicial boundary of Outer space On rank filtrations of algebraic K-theory and Steinberg modules

Reference 29

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.657121Z

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Observation 3be0e20c-7a27-427e-9007-f7f556a52c02 · outbound

This paper cites The handlebody group is a virtual duality group.

Bond thickenings of the simplicial boundary of Outer space The handlebody group is a virtual duality group

Reference 30

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.646952Z

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Observation d34a9ecf-0a0e-4023-9e5d-318ae51c0a14 · outbound

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Bond thickenings of the simplicial boundary of Outer space Unresolved cited work

Reference 31

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Observation a3a1e692-53ae-4a87-8304-0dee8523958e · outbound

This paper cites Some results on Quillen’s conjecture via equivalent-poset techniques.

Bond thickenings of the simplicial boundary of Outer space Some results on Quillen’s conjecture via equivalent-poset techniques

Reference 32

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Observation d44a987d-0656-4379-9282-97b165696fb4 · outbound

This paper cites Posets arising from decompositions of objects in a monoidal category.

Bond thickenings of the simplicial boundary of Outer space Posets arising from decompositions of objects in a monoidal category

Reference 33

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Observation 2781cbe4-5df6-4da9-9854-f81c2d7b9511 · outbound

This paper cites The tree representation ofΣn+1.

Bond thickenings of the simplicial boundary of Outer space The tree representation ofΣn+1

Reference 34

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.373904Z

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Observation b9d0a1ee-ab67-4aa2-9adc-1bde8966c4a2 · outbound

This paper cites A spectrum level rank filtration in algebraicK-theory.

Bond thickenings of the simplicial boundary of Outer space A spectrum level rank filtration in algebraicK-theory

Reference 35

Resolution: malformed identifier; no resolver link, observed 2026-08-15T14:48:47.981208Z

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Observation 52452c73-f42e-4ccc-b311-7860d8c37513 · outbound

This paper cites Homotopy equivalence of posets with a group action.

Bond thickenings of the simplicial boundary of Outer space Homotopy equivalence of posets with a group action

Reference 36

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Observation 05f23e3f-7ad1-4fd3-b5fa-720a064cccc6 · outbound

This paper cites Shellability of complexes of trees.

Bond thickenings of the simplicial boundary of Outer space Shellability of complexes of trees

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:48:49.514403Z

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Observation cbb6ceb5-d1d9-4965-b65d-cb15b92be8d6 · outbound

This paper cites Local structure of someOut(Fn)-complexes.

Bond thickenings of the simplicial boundary of Outer space Local structure of someOut(Fn)-complexes

Reference 38

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Observation 559c3a1f-b832-4d61-8f44-78e882da5ea0 · outbound

This paper cites The boundary of bordified Outer space.

Bond thickenings of the simplicial boundary of Outer space The boundary of bordified Outer space

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:47.997531Z

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Observation 11e0bed2-3af8-4e0c-8940-9426e9cb91bb · outbound

This paper cites Cohen–Macaulay Complexes, Duality Groups, and the dualizing module ofOut(FN).

Bond thickenings of the simplicial boundary of Outer space Cohen–Macaulay Complexes, Duality Groups, and the dualizing module ofOut(FN)

Reference 40

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.262383Z

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Observation 826dec00-cf0e-4165-b08f-39fa1708cf0d · outbound

This paper cites On Certain Sets of Elements in a Free Group.

Bond thickenings of the simplicial boundary of Outer space On Certain Sets of Elements in a Free Group

Reference 41

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Observation 51b64b6f-d9ec-45dd-8fde-12fafab15afb · outbound

This paper cites On equivalent sets of elements in a free group.

Bond thickenings of the simplicial boundary of Outer space On equivalent sets of elements in a free group

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:48.108830Z

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Observation 3c9b98ec-adb0-46f2-b3dd-f39ec96da23f · outbound

This paper cites M.Kontsevich’sgraphcomplexandtheGrothendieck-Teichmüller Lie algebra.

Bond thickenings of the simplicial boundary of Outer space M.Kontsevich’sgraphcomplexandtheGrothendieck-Teichmüller Lie algebra

Reference 43

Resolution: malformed identifier; doi_truncated, observed 2026-08-15T14:48:48.197998Z

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Observation 9f65ab34-2ec8-42fe-a861-6e53dbd06ebe · outbound

This paper cites The triconnected Kontsevich graph complex.

Bond thickenings of the simplicial boundary of Outer space The triconnected Kontsevich graph complex

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-15T14:48:48.116527Z

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Observation e8678188-5d65-4f77-bac8-d9dc46ce895a · outbound

This paper cites Multiple edges in M. Kontsevich’s graph complexes and computations of the dimensions and Euler characteristics.

Bond thickenings of the simplicial boundary of Outer space Multiple edges in M. Kontsevich’s graph complexes and computations of the dimensions and Euler characteristics

Reference 45

Resolution: verified exact; doi, observed 2026-08-15T14:48:48.168578Z

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