Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T12:35:58.026090Z
Paper Citation Record · LEDGER
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures
As of 19 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2509.01559.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T05:58:07.470929Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T12:49:52.347195Z
Reference resolution
35 of 35 outbound references displayed
- verified exact2
- verified fuzzy22
- unresolved10
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b919339b-8f59-42b0-8117-8cb1f3cccb42 · outbound
This paper cites Hopf algebras, Steinberg modules, and the unstable cohomology of $SL_n(\mathbb Z)$ and $GL_n(\mathbb Z)$.
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.
Observation ab809cb4-223c-40c1-b505-79fa7bdb5ec7 · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:01.503910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ab640777-186b-4c48-bdd6-71fb1f0395b3 · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:01.490634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 48585b34-8d61-478c-8564-ab89e58bc762 · outbound
This paper cites Borel, Linear algebraic groups, second edition, Graduate Texts in Mathematics, 126, Springer-Verlag, New York, 1991.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Borel, Linear algebraic groups, second edition, Graduate Texts in Mathematics, 126, Springer-Verlag, New York, 1991
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.477370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 115d7893-96e3-4c47-b124-65f6d15d1678 · outbound
This paper cites Borel & J.-P.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Borel & J.-P
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.464817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2a18100d-398c-46d8-bec3-407358c0bf64 · outbound
This paper cites Borel & J.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Borel & J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.452317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d34e3d3e-19a8-4414-b396-a287de16f852 · outbound
This paper cites Groupes r´ eductifs.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Groupes r´ eductifs
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.439159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation abb6e34f-9890-41e5-bf14-5ebc283038f1 · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:01.426981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1f7f8f51-4e4b-48de-b0ce-b9f6e4cbc85c · outbound
This paper cites Br¨ uck, J.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Br¨ uck, J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.414348Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 290d09a2-9493-4b5f-8730-6dc767f86354 · outbound
This paper cites A presentation of symplectic Steinberg modules and cohomology of $\operatorname{Sp}_{2n}(\mathbb{Z})$.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures A presentation of symplectic Steinberg modules and cohomology of $\operatorname{Sp}_{2n}(\mathbb{Z})$
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:35:56.007456Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33f61019-029f-4c36-a464-53f8baad910e · outbound
This paper cites Br¨ uck, Y.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Br¨ uck, Y
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.402003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 00d310a0-811c-4918-aa9d-81c0ca5bec27 · outbound
This paper cites Bykovskii, Generating elements of the annihilating ideal for modular symbols, Funktsional.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Bykovskii, Generating elements of the annihilating ideal for modular symbols, Funktsional
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.389303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 06f55d11-b2cb-4bda-9081-e228ab92968a · outbound
This paper cites Charlton, D.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Charlton, D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.376680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1d289ae9-aad8-4ac3-8e3c-0c9e9a8088a2 · outbound
This paper cites Algebraic Topology: Applications and New Directions.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Algebraic Topology: Applications and New Directions
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.364330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 545cb15f-23bc-40b9-8b96-316ca164c4fb · outbound
This paper cites Church & A.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Church & A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.351258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 415930fd-48f5-4dba-a7d6-aa99d469fc4c · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:01.338761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7cf0d3d4-35e6-4ec0-a4fe-2fe9170a973b · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:01.325712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 581f80cd-baac-46ea-8a9d-9222bd0238ea · outbound
This paper cites Lee & R.H.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Lee & R.H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.217444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f803de63-f0a0-428a-9771-6b6de78989ff · outbound
This paper cites Miller, R.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Miller, R
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:01.034106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2ec623d9-1e57-4654-bb2f-698c048178ad · outbound
This paper cites Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861].
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861]
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T12:35:58.486125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dd879a20-8037-4b30-af69-6f11051c798b · outbound
This paper cites Miller, P.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Miller, P
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:00.858250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f9b9adeb-9286-4a3c-b47d-16f2f79f6067 · outbound
This paper cites On rank filtrations of algebraic K-theory and Steinberg modules.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures On rank filtrations of algebraic K-theory and Steinberg modules
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:35:56.975934Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51219714-b462-418b-bb3c-48a8254cc323 · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T12:36:00.608883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0e37aef2-09a6-45a4-b44d-42f75f5da198 · outbound
This paper cites Putman & A.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Putman & A
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:00.413263Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c02c483c-8ff8-427f-ade2-af0f736953e4 · outbound
This paper cites Reeder, The Steinberg module and the cohomology of arithmetic groups, J.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Reeder, The Steinberg module and the cohomology of arithmetic groups, J
Reference 25
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-05T12:36:00.219111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5b75f681-3ddc-4132-8538-b85e58c69b35 · outbound
This paper cites Rognes, A spectrum level rank filtration in algebraic K-theory, Topology 31 (1992), no.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Rognes, A spectrum level rank filtration in algebraic K-theory, Topology 31 (1992), no
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:36:00.060537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 775c1137-0e44-454d-84c3-2aea0345f929 · outbound
This paper cites Voronoi complexes in higher dimensions, cohomology of $GL_N(Z)$ for $N\geq 8$ and the triviality of $K_8(Z)$.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Voronoi complexes in higher dimensions, cohomology of $GL_N(Z)$ for $N\geq 8$ and the triviality of $K_8(Z)$
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T12:35:58.239253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 52f45b37-e581-4ea0-8546-a3c589b3b809 · outbound
This paper cites Solomon, The Steinberg character of a finite group with BN -pair, in Theory of Finite Groups (Symposium, Harvard Univ., Cambridge, Mass., 1968), 213–221, Benjamin, New York.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Solomon, The Steinberg character of a finite group with BN -pair, in Theory of Finite Groups (Symposium, Harvard Univ., Cambridge, Mass., 1968), 213–221, Benjamin, New York
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:59.877767Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5fab4c55-68c4-44e7-9b1b-ec3fd99c715c · outbound
This paper cites Steinberg, A geometric approach to the representations of the full linear group over a Galois field, Trans.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Steinberg, A geometric approach to the representations of the full linear group over a Galois field, Trans
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:59.758328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 655d2309-71f7-4c43-a828-92ad66766cae · outbound
This paper cites Steinberg, Prime power representations of finite linear groups, Canadian J.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Steinberg, Prime power representations of finite linear groups, Canadian J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:59.576615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eaf0e635-fa51-4f5b-81a2-3253391194b8 · outbound
This paper cites Steinberg, Prime power representations of finite linear groups.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Steinberg, Prime power representations of finite linear groups
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:59.401907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e30ee32e-0743-49a6-ad77-ff1ccceb5baa · outbound
This paper cites Steinberg, Comments on the Papers, in Robert Steinberg, Collected Works, 7, American Mathematical Society, Providence, RI, 1997.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Steinberg, Comments on the Papers, in Robert Steinberg, Collected Works, 7, American Mathematical Society, Providence, RI, 1997
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:59.285987Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4019fdc2-3d38-4a3e-ba50-5f77b98fc43a · outbound
This paper cites Tits, Classification of algebraic semisimple groups, in Algebraic Groups and Discontinuous Subgroups (Proc.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Tits, Classification of algebraic semisimple groups, in Algebraic Groups and Discontinuous Subgroups (Proc
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:59.133442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9599a8ae-375e-4d66-b5da-301f5d3a7e30 · outbound
This paper cites Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, Vol.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, Vol
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T12:35:58.947717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4729bfde-0d8d-4996-872a-44cd17c03fe2 · outbound
This paper cites an unresolved cited work.
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures Unresolved cited work
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T12:35:56.341520Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 80a2311c-034d-4635-a7f7-b5def42f682b · inbound
The Goncharov Lie coalgebra of a field cites this paper.
The Goncharov Lie coalgebra of a field Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures
Reference 92
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T12:49:52.348478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.