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Paper Citation Record · LEDGER

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories

As of 15 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.23144.

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

pith.paper-citation-record.v1
2607.23144 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:44:03.377932Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

11 of 11 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 719283f4-fc9e-4c9d-82b7-f0881775067b · outbound

This paper cites Adámek and J.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Adámek and J

Reference 1

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no resolver link, observed 2026-08-01T03:44:02.242635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f864f271-6754-457a-b894-a04918ab334a · outbound

This paper cites Borceux,Handbook of Categorical Algebra 2: Categories and Structures, Encyclopedia of Mathematics and its Applications, vol.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Borceux,Handbook of Categorical Algebra 2: Categories and Structures, Encyclopedia of Mathematics and its Applications, vol

Reference 2

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no resolver link, observed 2026-08-01T03:44:02.295012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:02.295012Z digest=sha256:a044bb1bf3478641048a5883706c257fbf6abf13d8a86af3c11fb2d386768be0

Observation dc6cf3ff-baa2-467e-8a98-19844338050c · outbound

This paper cites The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties

Reference 3

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no resolver link, observed 2026-08-01T03:44:02.396850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:02.396850Z digest=sha256:3f90c28a5276c7c40f85411913c18a1c912d26edbb6d1b6269b48cd6ecf3600f

Observation 7d2d2567-320f-433f-8316-463a9e24d295 · outbound

This paper cites Carboni and E.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Carboni and E

Reference 4

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no resolver link, observed 2026-08-01T03:44:02.480161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:02.480161Z digest=sha256:5bc913b68a78542d0b37ccb43699afac8da62495db97b25454181cbbd869b048

Observation 0649cd20-ed12-493f-ace3-4a9cb35e8b95 · outbound

This paper cites Cossu and S.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Cossu and S

Reference 5

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unresolved
no resolver link, observed 2026-08-01T03:44:02.588890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:02.588890Z digest=sha256:40bb97f554166ffa0a7bb7c437c7fa4b28d64b93889021fa33fec8e7986e15b2

Observation 83fb03c0-65ec-4fba-9a5e-9eb588961add · outbound

This paper cites an unresolved cited work.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Unresolved cited work

Reference 6

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unresolved
no resolver link, observed 2026-08-01T03:44:02.737633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:02.737633Z digest=sha256:f3e8c0fbbfa71067931b107fbd6e59efa4bb0ce5f398bb8959fe7eaca63d32e7

Observation 16aee72e-c03e-4f0f-8d4c-7a87e1a2b36b · outbound

This paper cites Facchini, C.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Facchini, C

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:02.876937Z digest=sha256:9226907a002cb1c475eb2f750fff791ddb829eeb4fbcc7b3003246e5ebbd5778

Observation 63d61487-1ace-450f-8423-c6226556dcce · outbound

This paper cites Fan and S.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Fan and S

Reference 8

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no resolver link, observed 2026-08-01T03:44:03.062954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:03.062954Z digest=sha256:d742b11781f6865f73dc1449ed0712d33db3cdc53494b46b81990be081d18034

Observation 38671cb9-e063-4d27-9758-c19949894624 · outbound

This paper cites Geroldinger and F.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Geroldinger and F

Reference 9

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no resolver link, observed 2026-08-01T03:44:03.143896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:03.143896Z digest=sha256:f19bd302713e0dd280b55948ed9ad535bbf6874c63900391a06e1b9dd122b5c7

Observation bedeec1d-c290-45d2-a153-1813268aa63f · outbound

This paper cites Gran, An introduction to regular categories, in: New Perspectives in Algebra, Topology and Categories, Coimbra Mathematical Texts, Springer (2021).

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Gran, An introduction to regular categories, in: New Perspectives in Algebra, Topology and Categories, Coimbra Mathematical Texts, Springer (2021)

Reference 10

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no resolver link, observed 2026-08-01T03:44:03.246929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:03.246929Z digest=sha256:6245128fb3c0e13d476a7193d45df1fb4273d83f8c6be35ac8ce527b5515a5f1

Observation 48919dc0-25c7-4e0e-beb7-7a430bca0be8 · outbound

This paper cites Janelidze and W.

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories Janelidze and W

Reference 11

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unresolved
no resolver link, observed 2026-08-01T03:44:03.377932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:44:03.377932Z digest=sha256:45c635b3c53ab87948ed68ef346d0059aa1d9194e97d31ca25563922c0945db7

Pith citing papers

No inbound Pith citation observations are available.