Paper Citation Record · LEDGER

Algebraic coherators, controlled theories, and Grothendieck realizations

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.28540.

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

pith.paper-citation-record.v1
2607.28540 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T04:14:50.913896Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

17 of 17 outbound references displayed

verified exact0
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cebf223a-c088-431d-b846-2171c3fe5c52 · outbound

This paper cites Ad\' a mek and J.

Algebraic coherators, controlled theories, and Grothendieck realizations Ad\' a mek and J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.862049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 999dd9f2-60c3-487b-b2b7-2c320ccd0217 · outbound

This paper cites Ara, On the homotopy theory of Grothendieck -groupoids.

Algebraic coherators, controlled theories, and Grothendieck realizations Ara, On the homotopy theory of Grothendieck -groupoids

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.865817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cbaeb81-9c0e-42ea-832e-ab96e60fca67 · outbound

This paper cites Batanin and D.

Algebraic coherators, controlled theories, and Grothendieck realizations Batanin and D

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.869353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4a8570b-641a-4fe5-90ba-664858c314db · outbound

This paper cites Bourke, Note on the construction of globular weak omega-groupoids from types, topological spaces,.

Algebraic coherators, controlled theories, and Grothendieck realizations Bourke, Note on the construction of globular weak omega-groupoids from types, topological spaces,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.873832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad0ec6aa-0db7-46bb-aba7-ea833f2f39d8 · outbound

This paper cites The $\omega$-categorification of Algebraic Theories.

Algebraic coherators, controlled theories, and Grothendieck realizations The $\omega$-categorification of Algebraic Theories

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.877414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d1dc08b-372f-4d14-b7f0-4942d7f494a0 · outbound

This paper cites Cheng, Iterated Distributive Laws.

Algebraic coherators, controlled theories, and Grothendieck realizations Cheng, Iterated Distributive Laws

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.880977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b880e620-a9ee-484f-b046-dc5f296e2b1f · outbound

This paper cites Garner, Understanding the Small Object Argument.

Algebraic coherators, controlled theories, and Grothendieck realizations Garner, Understanding the Small Object Argument

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.884326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7dcfeec-7f43-49c1-b9e6-37948194307d · outbound

This paper cites Grothendieck, Pursuing Stacks (\`a la poursuite des champs).

Algebraic coherators, controlled theories, and Grothendieck realizations Grothendieck, Pursuing Stacks (\`a la poursuite des champs)

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.887383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc3c4520-95b9-41a5-b602-553cf99013cf · outbound

This paper cites Algebraic models of homotopy types and the homotopy hypothesis.

Algebraic coherators, controlled theories, and Grothendieck realizations Algebraic models of homotopy types and the homotopy hypothesis

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.890325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99722a07-37bf-46e5-a8c5-99ca7761f088 · outbound

This paper cites Henry and E.

Algebraic coherators, controlled theories, and Grothendieck realizations Henry and E

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.893349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d968fec-d23d-49e1-abb7-f51cd9db7c9f · outbound

This paper cites Lanari, A semi-model structure for Grothendieck weak 3-groupoids.

Algebraic coherators, controlled theories, and Grothendieck realizations Lanari, A semi-model structure for Grothendieck weak 3-groupoids

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.896192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7de4e9a7-e0c5-4fed-84c7-464dc9b316b4 · outbound

This paper cites an unresolved cited work.

Algebraic coherators, controlled theories, and Grothendieck realizations Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.899319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbd64890-e0a5-45e3-8732-b861675c415b · outbound

This paper cites Leinster, Higher Operads, Higher Categories.

Algebraic coherators, controlled theories, and Grothendieck realizations Leinster, Higher Operads, Higher Categories

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.902244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cdb96b0-ef90-4a81-8aad-35754981ebc0 · outbound

This paper cites Maltsiniotis, La th\'eorie de l'homotopie de Grothendieck.

Algebraic coherators, controlled theories, and Grothendieck realizations Maltsiniotis, La th\'eorie de l'homotopie de Grothendieck

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.905068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8bf696e-e7e3-4915-a183-3cf2930ffe37 · outbound

This paper cites Grothendieck $\infty$-groupoids, and still another definition of $\infty$-categories.

Algebraic coherators, controlled theories, and Grothendieck realizations Grothendieck $\infty$-groupoids, and still another definition of $\infty$-categories

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.907830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad2bfa61-e313-47fd-9b63-028aadd4760c · outbound

This paper cites Taylor, Controlled Theories and Infinity Lawvere Theories: Weakening Axioms in the Globular Setting.

Algebraic coherators, controlled theories, and Grothendieck realizations Taylor, Controlled Theories and Infinity Lawvere Theories: Weakening Axioms in the Globular Setting

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.911216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d785f5f-ec95-44db-82ce-fa0ec6511bcf · outbound

This paper cites Controlled theories, categorification, and homotopification.

Algebraic coherators, controlled theories, and Grothendieck realizations Controlled theories, categorification, and homotopification

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T04:14:50.913896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.