Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:25:18.361284Z
Paper Citation Record · LEDGER
Frobenius and Verschiebung for $K$-theory of endomorphisms
As of 10 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.05956.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
25 of 25 outbound references displayed
- verified exact9
- verified fuzzy9
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a0f9224c-1c9e-46c9-ab8d-6f4284040439 · outbound
This paper cites write newline.
Frobenius and Verschiebung for $K$-theory of endomorphisms write newline
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:20.863264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4559b932-4b4a-4f0a-acb4-fe65fea45657 · outbound
This paper cites Almkvist, Endomorphisms of finitely generated projective modules over a commutative ring, Ark.
Frobenius and Verschiebung for $K$-theory of endomorphisms Almkvist, Endomorphisms of finitely generated projective modules over a commutative ring, Ark
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:20.614589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f48b4140-f1f2-4776-b5d5-a39581760b4c · outbound
This paper cites Algebra 55 (1978), no.
Frobenius and Verschiebung for $K$-theory of endomorphisms Algebra 55 (1978), no
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:20.413322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cb38aacd-9bcb-4909-90bb-f3adb53b1976 · outbound
This paper cites Facets of the Witt Vectors.
Frobenius and Verschiebung for $K$-theory of endomorphisms Facets of the Witt Vectors
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:25:19.561730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d162d2de-6d82-4d66-996b-aa16d5eeba75 · outbound
This paper cites Topological Hochschild Homology and Higher Characteristics.
Frobenius and Verschiebung for $K$-theory of endomorphisms Topological Hochschild Homology and Higher Characteristics
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:25:19.455407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a590a0f9-d9b5-4850-b3d7-b5e5159be187 · outbound
This paper cites Dold and D.
Frobenius and Verschiebung for $K$-theory of endomorphisms Dold and D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:20.291781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2720b106-5ea9-400f-8864-aab05b6c2081 · outbound
This paper cites Witt vectors with coefficients and characteristic polynomials over non-commutative rings.
Frobenius and Verschiebung for $K$-theory of endomorphisms Witt vectors with coefficients and characteristic polynomials over non-commutative rings
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:25:19.350122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9ee2b0fc-3f16-40be-93c6-6096d07d5107 · outbound
This paper cites an unresolved cited work.
Frobenius and Verschiebung for $K$-theory of endomorphisms Unresolved cited work
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-06T19:25:18.922361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f5c4fac4-c782-4601-ba74-3128ad0416eb · outbound
This paper cites an unresolved cited work.
Frobenius and Verschiebung for $K$-theory of endomorphisms Unresolved cited work
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-06T19:25:18.696789Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f850eb32-df4f-456a-85ab-c00a57cbf4e6 · outbound
This paper cites Gepner, The cyclotomic trace, Arbeitsgemeinschaft: Topological Cyclic Homology (L.
Frobenius and Verschiebung for $K$-theory of endomorphisms Gepner, The cyclotomic trace, Arbeitsgemeinschaft: Topological Cyclic Homology (L
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-06T19:25:18.591665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 84c48d0f-fedc-4400-8c74-a91a6fbb7857 · outbound
This paper cites an unresolved cited work.
Frobenius and Verschiebung for $K$-theory of endomorphisms Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:25:20.186571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 92cbb810-4bc3-4f17-8267-54ce0756e714 · outbound
This paper cites Algebra 6 (1978), no.
Frobenius and Verschiebung for $K$-theory of endomorphisms Algebra 6 (1978), no
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:20.067694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a90aa158-d74c-4b32-b5ac-7a8f686b809c · outbound
This paper cites Hesselholt, Witt vectors of non-commutative rings and topological cyclic homology, Acta Mathematica 178 (1997), 109--141.
Frobenius and Verschiebung for $K$-theory of endomorphisms Hesselholt, Witt vectors of non-commutative rings and topological cyclic homology, Acta Mathematica 178 (1997), 109--141
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:19.970668Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 01dc0334-1457-4cd7-afc9-652a49a1ced4 · outbound
This paper cites Krause and T.
Frobenius and Verschiebung for $K$-theory of endomorphisms Krause and T
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:19.900677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e4abefe9-f0ed-43eb-ac3a-eee11649c9e4 · outbound
This paper cites Basic Bicategories.
Frobenius and Verschiebung for $K$-theory of endomorphisms Basic Bicategories
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:25:17.419627Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a30ab2d4-1129-456f-8abf-70c4c289412a · outbound
This paper cites Coherence for bicategories, lax functors, and shadows.
Frobenius and Verschiebung for $K$-theory of endomorphisms Coherence for bicategories, lax functors, and shadows
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:25:19.267685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c1d6170d-ee16-454a-bfc0-f4f98f2fd076 · outbound
This paper cites an unresolved cited work.
Frobenius and Verschiebung for $K$-theory of endomorphisms Unresolved cited work
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:25:17.598877Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95aa4241-ce30-42e7-8cfc-811115223cea · outbound
This paper cites Fixed point theory and trace for bicategories.
Frobenius and Verschiebung for $K$-theory of endomorphisms Fixed point theory and trace for bicategories
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:25:19.175561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0e70828f-ea7f-4d12-baaf-53ec2ceaf6cf · outbound
This paper cites Shadows and traces in bicategories.
Frobenius and Verschiebung for $K$-theory of endomorphisms Shadows and traces in bicategories
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:25:19.063920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1a3d35ba-f174-4bdd-b0fd-5ede2ea9cbed · outbound
This paper cites The linearity of traces in monoidal categories and bicategories.
Frobenius and Verschiebung for $K$-theory of endomorphisms The linearity of traces in monoidal categories and bicategories
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:25:17.861126Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33f016ec-3d76-4e30-ae29-7d60f823ad02 · outbound
This paper cites Quillen, Higher algebraic K -theory.
Frobenius and Verschiebung for $K$-theory of endomorphisms Quillen, Higher algebraic K -theory
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:19.775953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c6416422-8796-4f5d-b875-052d7421c0f8 · outbound
This paper cites an unresolved cited work.
Frobenius and Verschiebung for $K$-theory of endomorphisms Unresolved cited work
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:25:18.056320Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 812b2be6-ae12-4eb1-8c42-9f3559de9252 · outbound
This paper cites an unresolved cited work.
Frobenius and Verschiebung for $K$-theory of endomorphisms Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:25:18.097893Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9d07812-7020-4d8c-9295-37ea84f705e1 · outbound
This paper cites 145, American Mathematical Society, Providence, RI, 2013, An introduction to algebraic K -theory.
Frobenius and Verschiebung for $K$-theory of endomorphisms 145, American Mathematical Society, Providence, RI, 2013, An introduction to algebraic K -theory
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:25:18.231959Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb34f6f7-303a-41c4-bdae-9ef4a9463594 · outbound
This paper cites orper und A lgebren der C harakteristik p vom G rad pn. S truktur diskret bewerteter perfekter K \.
Frobenius and Verschiebung for $K$-theory of endomorphisms orper und A lgebren der C harakteristik p vom G rad pn. S truktur diskret bewerteter perfekter K \
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:25:19.666033Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.