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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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
  • unresolved8
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:44.656618Z digest=sha256:6325a8533c48aedf98af1ad126ee7f1f688c26d9883695481c98d7fb06e0a4ba

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:44.749857Z digest=sha256:2c2d2f073f7c1eb42bb1114ed0c612ee3cbf974b45fa84133471f79d899c96c2

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

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unresolved
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:edb3b063d0a26bc95928e9a69512fc19d52cc8bfbc5234f563a7f593fa8e3c45

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:44.991800Z digest=sha256:d047f730474c51754be0fa146e6edd969a236cb7d651fff33dbcd90979a70984

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:45.079208Z digest=sha256:21257b9394febf78653f225cf5a59c67533ba5f8d04bbe9c45f9784da65bed25

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:45.235638Z digest=sha256:ccc1184f79947863b0babc5730d5bbaf4fa3fe10ea9ab3dc9af1e6dbd4eeb781

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
raw_fallback, observed 2026-08-06T22:08:49.773689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:45.316734Z digest=sha256:443bfd4b86e0bd3b5070d3894026ee4a2ac76836d5f626f4d4696eaa4e02c2a6

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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verified fuzzy
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:45.407176Z digest=sha256:f9aca59d15b5a9d7125e7364717f0f3c7b8a36d76e31efd2de62ad371f5fa39a

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

Resolution
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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=sha256:2c7127b1e423cb3492ec2f513424a9b63b970e8a6e0e6181ed53471ed90f7b85

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:45.632337Z digest=sha256:628d08327072737d2f884dee0e6add31ac3ad52b351cf4329c6931d303c73646

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:45.761342Z digest=sha256:1ee36fec28a21328ba04d0fb96c83ef2fcae269f7c1740744a13225a0e8ac95b

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:dc9720a6e3e78cb1fa29d620905d0b0b049c2f048cd8cf06d768a0feb0df85d9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:46.113087Z digest=sha256:72200859fe4c762307f5342937aa2b93ca07e4998b289eac5ae4037f8546c281

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:46.182999Z digest=sha256:1e4d57d71b9ca338d960fc9ed20098f36e5aafc9760696bc2109beb2ceab151d

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=sha256:1519ba048337fcc6ec71c7c75607c26e4b213bb64021b0f7b5f8a3fe232bdde6

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

Resolution
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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=sha256:98bef00f1bddd111662992f066bde9243c1c6d98a1c394bc6f69209a53f68dcf

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

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:46.550990Z digest=sha256:7ac79786f01881d7b560aee61cbaf8c3b429b4aa1005eac9eedc2febd7fce7c1

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=sha256:1f618d71b332ab98fae81d03ea7c00961199f2ae1eafdbb44fa869620a676cf7

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=sha256:37adbe8d5c7f288eee81a4f920f6dc445cdd473a3bb700528fdf61cb960fad37

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T22:08:46.918027Z digest=sha256:74ec9a412eca67953fa1b3a22b1b91077a485f4eb73a51832959b8371b45ffa3

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:08:47.005965Z digest=sha256:1d51247ec6057860fede377682ffff377bd46d2cb5ba4e25eebdc69a00c36d92

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=sha256:2787858f4fa6b5de8776877ba852ed9a4e9f5ed1903a0ce668f4255b8f647973

Pith citing papers

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