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Paper Citation Record · LEDGER

A model structure on the category of A$_\infty$-categories with strict morphisms

As of 10 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.22847.

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

pith.paper-citation-record.v1
2506.22847 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:08:47.132311Z

measured 22 of 22 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

22 of 22 outbound references displayed

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  • verified fuzzy6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 600f856e-2c61-4178-8537-b0f2cbd1cbc9 · outbound

This paper cites Differential graded homological algebra.

A model structure on the category of A$_\infty$-categories with strict morphisms Differential graded homological algebra

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-06T22:08:50.259891Z

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.

source=pdf_text observed=2026-08-06T22:08:44.656618Z digest=sha256:76c2c6381974d76ac0a880065b73decc354d0cd322374749a5c20a56da086f29

Observation c2f8d85b-55f4-4546-a226-c78b4275ab57 · outbound

This paper cites Localizations of the categories of A∞-categories and Internal Homs.

A model structure on the category of A$_\infty$-categories with strict morphisms Localizations of the categories of A∞-categories and Internal Homs

Reference 2

Resolution
verified exact
doi, observed 2026-08-06T22:08:47.765062Z

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.

source=pdf_text observed=2026-08-06T22:08:44.749857Z digest=sha256:5cc43949b35901da6c5b0e457273d2d36449e38ff66f2575d57377cf186b2fe3

Observation 0e4bc02f-8fc3-455f-bc13-bb328c869f3e · outbound

This paper cites Localizations of the categories of $A_\infty$ categories and internal Homs over a ring.

A model structure on the category of A$_\infty$-categories with strict morphisms Localizations of the categories of $A_\infty$ categories and internal Homs over a ring

Reference 3

Resolution
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no resolver link, observed 2026-08-06T22:08:44.883633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:44.883633Z digest=sha256:05c932b9939b28b1d0dc11d6ba61c78315858aa2ccef77139245bf64f6822485

Observation d3ff47df-e1bc-4036-961b-2074b1c15c49 · outbound

This paper cites A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$).

A model structure on the category of A$_\infty$-categories with strict morphisms A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:08:48.841128Z

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.

source=pdf_text observed=2026-08-06T22:08:44.991800Z digest=sha256:917bdbd307df13aec8436ae861ff763cd68569a5ef4d0ec9b1f28c39dae1ceaf

Observation a92f3ccf-7b24-48aa-a8f4-8fcc1157a5c2 · outbound

This paper cites DG quotients of DG categories.

A model structure on the category of A$_\infty$-categories with strict morphisms DG quotients of DG categories

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-06T22:08:50.029081Z

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.

source=pdf_text observed=2026-08-06T22:08:45.079208Z digest=sha256:b430e408703eff4b3a2b208c828e96042e07669ce24cd6808495eea95092f202

Observation d56f7337-d0ae-4c1f-b3c5-e74555f746b8 · outbound

This paper cites Floer homology and mirror symmetry II.

A model structure on the category of A$_\infty$-categories with strict morphisms Floer homology and mirror symmetry II

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T22:08:48.556272Z

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.

source=pdf_text observed=2026-08-06T22:08:45.235638Z digest=sha256:027ed438640581a5f924cf22721457a78fd4de38f3fa94027c3cfcaeef4e4611

Observation 7bfb9b8b-e5e1-4a1e-a1cb-070c7c7a110b · outbound

This paper cites Fukaya, Y.-G.

A model structure on the category of A$_\infty$-categories with strict morphisms Fukaya, Y.-G

Reference 7

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verified fuzzy
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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.

source=pdf_text observed=2026-08-06T22:08:45.316734Z digest=sha256:84915f37626037fa0bd4d950811f09f056c104f3b4b1901c5510c1231fb0dc3b

Observation 29d12ad1-c213-49b3-ba19-99d38f31f754 · outbound

This paper cites Sectorial descent for wrapped Fukaya categories.

A model structure on the category of A$_\infty$-categories with strict morphisms Sectorial descent for wrapped Fukaya categories

Reference 8

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raw_fallback, observed 2026-08-06T22:08:49.531358Z

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.

source=pdf_text observed=2026-08-06T22:08:45.407176Z digest=sha256:652e3af18b7f8675282c59dec8738eedceff5e1729f59bac4d6cce2a9e6cb8f6

Observation e6a61245-546a-4bb6-a0f8-de2b72c9ac4b · outbound

This paper cites Homological algebra of homotopy algebras.

A model structure on the category of A$_\infty$-categories with strict morphisms Homological algebra of homotopy algebras

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:45.500124Z digest=sha256:419cfa82788356131c3b3ae9c4b9a8b6f16699fca5fabcddfe26d0d64d8b6ed7

Observation f3e96adf-650d-4147-8365-dbcddbcb2744 · outbound

This paper cites Model categories.

A model structure on the category of A$_\infty$-categories with strict morphisms Model categories

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:08:49.291390Z

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.

source=pdf_text observed=2026-08-06T22:08:45.632337Z digest=sha256:4b423e65b8da8aaf5b4dd8287bc5df78cb94d45a7d419019a93020cf300ec011

Observation 368ecb59-7a75-46f4-9b88-31a8817f452a · outbound

This paper cites Notes on A∞ algebras, A∞ categories, and non-commutative geometry.

A model structure on the category of A$_\infty$-categories with strict morphisms Notes on A∞ algebras, A∞ categories, and non-commutative geometry

Reference 11

Resolution
verified exact
doi, observed 2026-08-06T22:08:47.578645Z

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.

source=pdf_text observed=2026-08-06T22:08:45.761342Z digest=sha256:c5d5a805cda279bb905af052c908a824c611694404b626568ade08e39e319c33

Observation 89ed936d-3f34-47d4-858d-bfc12f6166dd · outbound

This paper cites ∞-categorical universal properties of quotients and localizations of A ∞- categories.

A model structure on the category of A$_\infty$-categories with strict morphisms ∞-categorical universal properties of quotients and localizations of A ∞- categories

Reference 13

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no resolver link, observed 2026-08-06T22:08:45.968793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:45.968793Z digest=sha256:184df6de93a045303aa979d5317bde7a3ce985b3e591a73ec02f66bb84a619be

Observation c709f83e-a36d-4d85-8422-f9f44e4e4d2e · outbound

This paper cites Comparison results about dg categories, A∞-categories, stable∞-categories and noncom- mutative motives.

A model structure on the category of A$_\infty$-categories with strict morphisms Comparison results about dg categories, A∞-categories, stable∞-categories and noncom- mutative motives

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:08:49.057082Z

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.

source=pdf_text observed=2026-08-06T22:08:46.113087Z digest=sha256:3b0320c2838a450b7556152a753affd1ff7dddcd1cb491fa1ace3f287cc89068

Observation e7467fdd-7c6b-4397-bf55-b6edc9aa887a · outbound

This paper cites Ornaghi, The Homotopy Theory of A∞categories, Int.

A model structure on the category of A$_\infty$-categories with strict morphisms Ornaghi, The Homotopy Theory of A∞categories, Int

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T22:08:47.383757Z

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.

source=pdf_text observed=2026-08-06T22:08:46.182999Z digest=sha256:294d57b4cb21d56e4fef517165aeae05bc87fe898d59cd0c4bbf176e9bd31b71

Observation 072cdd0b-a191-45a5-b231-b3a64edb3732 · outbound

This paper cites Tensor product of A∞-categories.

A model structure on the category of A$_\infty$-categories with strict morphisms Tensor product of A∞-categories

Reference 16

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no resolver link, observed 2026-08-06T22:08:46.327676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:46.327676Z digest=sha256:c10289a37028dd92f37ea883af836cf4c6a8524087c5280411e73787838c8554

Observation 01202f04-7d8e-40e8-9c6f-5bd4977bf6bd · outbound

This paper cites A comparison between pretriangulated A∞-categories and ∞-Stable categories.

A model structure on the category of A$_\infty$-categories with strict morphisms A comparison between pretriangulated A∞-categories and ∞-Stable categories

Reference 17

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no resolver link, observed 2026-08-06T22:08:46.467468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:46.467468Z digest=sha256:0d120f1d862840a09a41033ca0e8ea885ad84a1a4b14d65a2942153dbdfbfb17

Observation 91072bc2-716e-42ce-8142-49f5e638e4b5 · outbound

This paper cites Fukaya categories and Picard-Lefschetz theory.

A model structure on the category of A$_\infty$-categories with strict morphisms Fukaya categories and Picard-Lefschetz theory

Reference 18

Resolution
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no resolver link, observed 2026-08-06T22:08:46.550990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:46.550990Z digest=sha256:6793a352994404cd165581c20b6b7fb88a830912d325026d0914a6e4ca4408bf

Observation 6b119e06-3529-4764-b2cf-b7c11124365b · outbound

This paper cites Une structure de categorie de modeles de Quillen sur la categorie des DG categories.

A model structure on the category of A$_\infty$-categories with strict morphisms Une structure de categorie de modeles de Quillen sur la categorie des DG categories

Reference 19

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source=pdf_text observed=2026-08-06T22:08:46.698369Z digest=sha256:1afb0e2537eaf9b8ff7b95c6ec57e5cd6b2393e5dd51ecb963b3ea459be11cf7

Observation 30b3eb6b-f3b7-44d4-ad92-a66bc6976928 · outbound

This paper cites Sur les A-infini cat\'egories.

A model structure on the category of A$_\infty$-categories with strict morphisms Sur les A-infini cat\'egories

Reference 20

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:46.795271Z digest=sha256:f7732a07b9f3e1965adea5e15dd0dcf7766be9af66b77cb061303b956808c5b7

Observation 761dcfc6-863d-404d-b574-171de01470ce · outbound

This paper cites Unitalities and mapping spaces in $A_\infty$-categories.

A model structure on the category of A$_\infty$-categories with strict morphisms Unitalities and mapping spaces in $A_\infty$-categories

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:08:48.025907Z

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.

source=pdf_text observed=2026-08-06T22:08:46.918027Z digest=sha256:b2c858617cf35d81d54182b32fd8441f411a0d2ecfaf8cc4b88d27ed527050f2

Observation 6f68a603-f6eb-4528-8f63-cacf52a79905 · outbound

This paper cites The homotopy theory of DG categories and derived Morita theory.

A model structure on the category of A$_\infty$-categories with strict morphisms The homotopy theory of DG categories and derived Morita theory

Reference 22

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source=pdf_text observed=2026-08-06T22:08:47.005965Z digest=sha256:447856d45ff760c46221231738b45ef20ae12026a2d543764b989d13a1cb842b

Observation d8e1c2d9-1a9f-4862-a777-0095454ab805 · outbound

This paper cites Lectures on DG-categories.

A model structure on the category of A$_\infty$-categories with strict morphisms Lectures on DG-categories

Reference 23

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source=pdf_text observed=2026-08-06T22:08:47.132311Z digest=sha256:456a93bbc03b7d8d51b7dcaaa919f6da5e330018ac7437b7b7402f7d9072b1c6

Pith citing papers

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