Paper Citation Record · LEDGER

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness

As of 11 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.01093.

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

pith.paper-citation-record.v1
2606.01093 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T16:32:20.499768Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

36 of 36 outbound references displayed

verified exact2
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1e06c08d-b26b-4695-86df-f17ca8cfc59b · outbound

This paper cites Baker and N.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Baker and N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d583e349-e34b-459c-bb4e-e0a54a0015c4 · outbound

This paper cites Baker and O.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Baker and O

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61b989f3-d5dd-43c0-a4a8-4ced1dea32d4 · outbound

This paper cites Baker, T.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Baker, T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90d5f4de-3b50-4b06-a6a9-96005c5ec6d5 · outbound

This paper cites Ben-Bassat and K.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Ben-Bassat and K

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc0f486a-3f0a-4c77-9df5-8d9baac4a47a · outbound

This paper cites an unresolved cited work.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9306a4a8-6388-42c6-865c-45ca12fc3c57 · outbound

This paper cites Connes and C.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Connes and C

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 889489ae-2432-4c46-a5a7-91bfa5982832 · outbound

This paper cites Connes and C.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Connes and C

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04fddcff-3618-425a-966a-29a4d09702ab · outbound

This paper cites Connes and C.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Connes and C

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1486f867-d251-49c0-ba84-da5ebb8e6658 · outbound

This paper cites Davvaz and A.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Davvaz and A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb2f3a55-8c71-412c-9304-b938772211da · outbound

This paper cites Deitmar , Schemes over $ _1$, Number fields and function fields—two parallel worlds, Progr.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Deitmar , Schemes over $ _1$, Number fields and function fields—two parallel worlds, Progr

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4f27572-2e58-454f-b8d6-ef1c235e43c9 · outbound

This paper cites Demazure and P.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Demazure and P

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9d6dbef-e2fa-4d42-9758-9714c3f716ee · outbound

This paper cites Dyckerhoff and M.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Dyckerhoff and M

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a5b7b80-1df8-480d-936a-a3bb509eaad6 · outbound

This paper cites Eppolito, J.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Eppolito, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f5cfd2f-e2fe-494c-ab6f-9529671a5d6c · outbound

This paper cites Hosgood , Under Spec$ Z $: A reader's companion, Dissertation, Oxford University, 2016, https://thosgood.net/assets/files/under-spec-z.pdf.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Hosgood , Under Spec$ Z $: A reader's companion, Dissertation, Oxford University, 2016, https://thosgood.net/assets/files/under-spec-z.pdf

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9609a9dc-f05b-48ca-bcd1-f7c7eb19bec4 · outbound

This paper cites Jun , Algebraic geometry of hyperrings, Adv.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Jun , Algebraic geometry of hyperrings, Adv

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 279e45eb-96e7-4bd6-abb0-86f26a1fb202 · outbound

This paper cites an unresolved cited work.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 146a7d6b-318e-4f66-9c0e-0558193ae619 · outbound

This paper cites Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:36:15.802116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3210d213-fa75-45cb-9625-301abcfdc179 · outbound

This paper cites Krasner , Quelques m\'ethodes nouvelles dans la th\'eorie des corps valu\'es complets.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Krasner , Quelques m\'ethodes nouvelles dans la th\'eorie des corps valu\'es complets

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9e662aa-b945-464e-bd46-5d51cf0d616e · outbound

This paper cites Krasner , A class of hyperrings and hyperfields, Internat.\ J.\ Math.\ Math.\ Sci.\ 6 (2) (1983), 307--311.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Krasner , A class of hyperrings and hyperfields, Internat.\ J.\ Math.\ Math.\ Sci.\ 6 (2) (1983), 307--311

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 969ec7c8-83dd-4b13-bc4b-c6c48ce7685a · outbound

This paper cites Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Quiver matroids -- Matroid morphisms, quiver Grassmannians, their Euler characteristics and $\mathbb{F}_1$-points

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-01T21:36:15.804716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3c76be61-1baf-4495-98f9-d51731c0852f · outbound

This paper cites Lorscheid , Blue schemes, semiring schemes, and relative schemes after To\"en and Vaqui\'e, J.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Lorscheid , Blue schemes, semiring schemes, and relative schemes after To\"en and Vaqui\'e, J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8714718f-ef18-4393-bed2-211d21291797 · outbound

This paper cites Manin , Lectures on zeta functions and motives (according to Deninger and Kurokawa), Ast\'erisque, 228 (4), 121--163.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Manin , Lectures on zeta functions and motives (according to Deninger and Kurokawa), Ast\'erisque, 228 (4), 121--163

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c428af7-77bd-4c84-b0cd-abf35df62d4e · outbound

This paper cites an unresolved cited work.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a9573a7-feda-4054-870b-005570aa871c · outbound

This paper cites Procesi Ciampi and R.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Procesi Ciampi and R

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dc1480e-7c86-442c-93a3-4f7d84e5f2be · outbound

This paper cites an unresolved cited work.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c0fb1f8-beb3-428a-bedc-e01e96c1d76e · outbound

This paper cites To\"en and M.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness To\"en and M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25a20c7c-2618-43f8-9b24-d725154a9c0c · outbound

This paper cites Tolliver , An equivalence between two approaches to limits of local fields, J.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Tolliver , An equivalence between two approaches to limits of local fields, J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

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Unavailable: canonical work link unavailable.

Observation 5010d8fd-e5d2-41ba-9a94-0cb6399f6e39 · outbound

This paper cites Vezzani , Deitmar's versus To\"en-Vaqui\'e's schemes over $ F _1$, Math.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Vezzani , Deitmar's versus To\"en-Vaqui\'e's schemes over $ F _1$, Math

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

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Unavailable: canonical work link unavailable.

Observation d1f0728e-4183-4826-b2e6-f94a39bc743e · outbound

This paper cites Jun, and M.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Jun, and M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf1e855a-ba2a-4695-8e0e-ab2bb02680ef · outbound

This paper cites Hosgood , Under Spec$ Z $ A reader's companion, Dissertation, Oxford University https://thosgood.net/assets/files/under-spec-z.pdf.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Hosgood , Under Spec$ Z $ A reader's companion, Dissertation, Oxford University https://thosgood.net/assets/files/under-spec-z.pdf

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 638fe9fa-5dba-439d-9616-dde644e7f677 · outbound

This paper cites Procesi-Ciampi and R.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Procesi-Ciampi and R

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7019b64-d27f-4698-9995-af7e2a2a509e · outbound

This paper cites Song , Galois correspondence for Galois coverings of tropical curves, J.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Song , Galois correspondence for Galois coverings of tropical curves, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34bdad02-1b02-4413-911c-a493a938ab04 · outbound

This paper cites Kurokawa , On some Euler Products I, Proceedings of the Japan Academy, 60A (1984) No.9, 335--338.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Kurokawa , On some Euler Products I, Proceedings of the Japan Academy, 60A (1984) No.9, 335--338

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f63c41d9-27b4-4d64-8fd8-6c40acd3510d · outbound

This paper cites Kurokawa , Multiple zeta functions: An example, Advanced Studies in Pure Mathematics, 21 (1992), 219--226.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Kurokawa , Multiple zeta functions: An example, Advanced Studies in Pure Mathematics, 21 (1992), 219--226

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

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Unavailable: canonical work link unavailable.

Observation 67217274-1520-4165-8b2f-6cc627813fad · outbound

This paper cites Hiranouchi and Y.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Hiranouchi and Y

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

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Unavailable: canonical work link unavailable.

Observation 098e37ed-82bf-49ea-930d-5be7106f31fd · outbound

This paper cites an unresolved cited work.

On the category of modules over bands: relative schemes, hyperring schemes and proto-exactness Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-28T16:32:20.499768Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.