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Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2404.13776.

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

pith.paper-citation-record.v1
2404.13776 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:48:47.530654Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:49:52.349514Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b919339b-8f59-42b0-8117-8cb1f3cccb42 · inbound

Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures cites this paper.

Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T12:35:55.353252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:35:55.353252Z digest=sha256:a8a65417a0bc0c0f46ba1ffeeef68ef9034a2875873d75e1aafc59c353111118

Observation 85a1efda-cb82-479d-81b5-7fe9948dd77e · inbound

A projective resolution of the symplectic Steinberg module cites this paper.

A projective resolution of the symplectic Steinberg module Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:56:10.667150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-05-08T03:55:20.331421Z digest=sha256:73840d8c6e6d4397f1c2df1876b03c4841ad16eb06bc897a7560a938afab95c8

Observation 3a628079-5dcb-484e-b361-0b746db558ab · inbound

The Goncharov Lie coalgebra of a field cites this paper.

The Goncharov Lie coalgebra of a field Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-04T12:49:52.350807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-06-26T05:58:07.470929Z digest=sha256:00d13c6b43147cfc822d18ba9430ec8467763be1170ef89472a7ed7c43f56159

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

Bond thickenings of the simplicial boundary of Outer space cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:47.530654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:48:47.530654Z digest=sha256:d95ec1fe012a647e1685c9096d020cc8caf9de707e258e0640b558663efa1dc1