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Paper Citation Record · LEDGER

Toric Mirror Symmetry for Homotopy Theorists

As of 14 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2501.06649.

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

pith.paper-citation-record.v1
2501.06649 v1

Coverage vector

measured 44 of 44 reference resolution

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measured 45 of 45 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T02:40:58.832089Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-14T06:15:01.999000Z

Reference resolution

44 of 44 outbound references displayed

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Outbound references

Observation 6ac1a2dd-2023-4102-abc8-42bd536cae18 · outbound

This paper cites Foundation of Floer homotopy theory I: Flow categories.

Toric Mirror Symmetry for Homotopy Theorists Foundation of Floer homotopy theory I: Flow categories

Reference 1

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Observation b6eab259-44f9-470c-a154-8afa009c60db · outbound

This paper cites Stuff about sheaves on real vector spaces.

Toric Mirror Symmetry for Homotopy Theorists Stuff about sheaves on real vector spaces

Reference 2

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Observation c47150b0-ef4d-48a9-8bf0-47cc72ac04fe · outbound

This paper cites Integral transforms and Drinfeld centers in derived algebraic geometry.

Toric Mirror Symmetry for Homotopy Theorists Integral transforms and Drinfeld centers in derived algebraic geometry

Reference 3

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Observation 98dd4b56-2d38-4a24-8aeb-a63ab0ed42f9 · outbound

This paper cites Derived categories of toric varieties.

Toric Mirror Symmetry for Homotopy Theorists Derived categories of toric varieties

Reference 4

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Observation 265532bc-21e3-45bd-8a58-20dfb3a34233 · outbound

This paper cites On the strict Picard spectrum of commutative ring spectra.

Toric Mirror Symmetry for Homotopy Theorists On the strict Picard spectrum of commutative ring spectra

Reference 5

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Observation d077691d-1448-443b-9bf5-e51ad2ff51f6 · outbound

This paper cites Algebraic de Rham cohomology.

Toric Mirror Symmetry for Homotopy Theorists Algebraic de Rham cohomology

Reference 6

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Observation cd2ae023-fa2c-46f6-92d1-6702b3b4a98a · outbound

This paper cites The reductive Borel–Serre compactifica- tion as a model for unstable algebraic K-theory.

Toric Mirror Symmetry for Homotopy Theorists The reductive Borel–Serre compactifica- tion as a model for unstable algebraic K-theory

Reference 7

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Observation f78f9728-4df7-4a5c-8984-a1d4aa2b18b3 · outbound

This paper cites The symplectic geometry of higher Auslander algebras: Symmetric products of disks.

Toric Mirror Symmetry for Homotopy Theorists The symplectic geometry of higher Auslander algebras: Symmetric products of disks

Reference 8

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Observation 587f12d1-281b-4f06-a54c-c63c91d13c5c · outbound

This paper cites K-theory and localizing invariants of large categories.

Toric Mirror Symmetry for Homotopy Theorists K-theory and localizing invariants of large categories

Reference 9

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Observation 0614f97e-74f0-4262-97b1-e8f6846a327b · outbound

This paper cites A categorifi- cation of Morelli’s theorem.

Toric Mirror Symmetry for Homotopy Theorists A categorifi- cation of Morelli’s theorem

Reference 10

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Observation aca02188-40dd-4446-9240-55ec88317be2 · outbound

This paper cites Introduction to Toric Varieties.

Toric Mirror Symmetry for Homotopy Theorists Introduction to Toric Varieties

Reference 11

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Observation 29d6a6ec-bc16-4519-99bf-de534bc11115 · outbound

This paper cites Microlocal Morse theory of wrapped Fukaya categories.

Toric Mirror Symmetry for Homotopy Theorists Microlocal Morse theory of wrapped Fukaya categories

Reference 12

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Observation 68edc39f-0a0e-4e3d-9559-1b29b4e7cf62 · outbound

This paper cites Weil’s Conjcture for Function Fields I.

Toric Mirror Symmetry for Homotopy Theorists Weil’s Conjcture for Function Fields I

Reference 13

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Observation 2e1c1306-562f-45b7-945f-ec11d63d757e · outbound

This paper cites Exodromy beyond conicality.

Toric Mirror Symmetry for Homotopy Theorists Exodromy beyond conicality

Reference 14

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Observation 97708cd2-7d0d-4aee-afbb-03f4ce17b607 · outbound

This paper cites Lecture Notes for Algebraic and Hermitian K- Theory.

Toric Mirror Symmetry for Homotopy Theorists Lecture Notes for Algebraic and Hermitian K- Theory

Reference 15

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Observation 4d358584-952a-40b7-83fa-be3e4d1219d1 · outbound

This paper cites Dirac geometry I: Commutative algebra.

Toric Mirror Symmetry for Homotopy Theorists Dirac geometry I: Commutative algebra

Reference 16

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Observation 80bee380-7fff-46ba-aa9d-184a01fd3b46 · outbound

This paper cites Rectification of algebras and modules.

Toric Mirror Symmetry for Homotopy Theorists Rectification of algebras and modules

Reference 17

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Observation 95c74ac6-8eca-4c5a-8b96-ce7345ce5e3c · outbound

This paper cites Morita theory for Hopf algebroids and presheaves of groupoids.

Toric Mirror Symmetry for Homotopy Theorists Morita theory for Hopf algebroids and presheaves of groupoids

Reference 18

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Observation fbf054cd-ce6b-45b1-a09e-68d1ba985c68 · outbound

This paper cites Coherent-Constructible Correspondence for Toric Fibrations.

Toric Mirror Symmetry for Homotopy Theorists Coherent-Constructible Correspondence for Toric Fibrations

Reference 19

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Observation 56b7a6b9-32e4-4125-9092-e39704ba562e · outbound

This paper cites Stratified homotopy theory of topological ∞-stacks: A tool- box.

Toric Mirror Symmetry for Homotopy Theorists Stratified homotopy theory of topological ∞-stacks: A tool- box

Reference 20

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Observation 3ddfdc4a-cf4a-4cde-a785-bcd65d680dff · outbound

This paper cites Brane structures in microlocal sheaf theory.

Toric Mirror Symmetry for Homotopy Theorists Brane structures in microlocal sheaf theory

Reference 21

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Observation a636c183-bdf0-48e1-8517-3c1b31b71836 · outbound

This paper cites Kashiwara and P.

Toric Mirror Symmetry for Homotopy Theorists Kashiwara and P

Reference 22

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Observation 2d9edc2e-cd23-4203-9e67-fa45a6106e68 · outbound

This paper cites The nonequivariant coherent-constructible correspondence for toric stacks.

Toric Mirror Symmetry for Homotopy Theorists The nonequivariant coherent-constructible correspondence for toric stacks

Reference 23

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Observation b251a2fc-f522-4fef-a360-6614bb3bc0bc · outbound

This paper cites Elliptic Cohomology I.

Toric Mirror Symmetry for Homotopy Theorists Elliptic Cohomology I

Reference 24

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Observation f9a4b194-ad72-4c7e-9a11-789f262ce1cf · outbound

This paper cites Rotation invariance in algebraic K-theory.

Toric Mirror Symmetry for Homotopy Theorists Rotation invariance in algebraic K-theory

Reference 25

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Observation 0dc72dd1-a44b-49d2-b65e-83b9ba830223 · outbound

This paper cites Survey article on elliptic cohomology.

Toric Mirror Symmetry for Homotopy Theorists Survey article on elliptic cohomology

Reference 26

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Observation ed710eee-765e-47dd-9371-9b68f0da135c · outbound

This paper cites Associative algebras and broken lines.

Toric Mirror Symmetry for Homotopy Theorists Associative algebras and broken lines

Reference 27

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Observation c956f0f2-a672-4011-b8da-16da094081be · outbound

This paper cites The K Theory of a Toric Variety.

Toric Mirror Symmetry for Homotopy Theorists The K Theory of a Toric Variety

Reference 28

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Observation 6663ae6f-2552-4fb8-9fcd-e194a83309a0 · outbound

This paper cites The geometry of filtrations.

Toric Mirror Symmetry for Homotopy Theorists The geometry of filtrations

Reference 29

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Observation d1aab106-ec7f-46d8-ab74-efed68733f83 · outbound

This paper cites Wrapped microlocal sheaves on pairs of pants.

Toric Mirror Symmetry for Homotopy Theorists Wrapped microlocal sheaves on pairs of pants

Reference 30

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Observation ffd00ffd-08a8-4bc1-977f-6da486c64f7e · outbound

This paper cites Bordism of flow modules and exact Lagrangians.

Toric Mirror Symmetry for Homotopy Theorists Bordism of flow modules and exact Lagrangians

Reference 31

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Observation 08d25f6e-e05e-4ddc-964d-e68a08c65ba9 · outbound

This paper cites A monoidal Grothendieck construction for ∞-categories.

Toric Mirror Symmetry for Homotopy Theorists A monoidal Grothendieck construction for ∞-categories

Reference 32

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Observation 4be8d1a8-9d54-4f17-8d54-bec3ab42aae9 · outbound

This paper cites A lemma for microlocal sheaf theory in the ∞- categorical setting.

Toric Mirror Symmetry for Homotopy Theorists A lemma for microlocal sheaf theory in the ∞- categorical setting

Reference 33

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Observation 67a47a2e-43b2-472f-a047-fbdb603a483f · outbound

This paper cites The non-equivariant coherent-constructible cor- respondence and a conjecture of King.

Toric Mirror Symmetry for Homotopy Theorists The non-equivariant coherent-constructible cor- respondence and a conjecture of King

Reference 34

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Observation aad3dc38-cbcb-4240-8fae-e3dcd0379f31 · outbound

This paper cites Toric mirror symmetry revisited.

Toric Mirror Symmetry for Homotopy Theorists Toric mirror symmetry revisited

Reference 35

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 16769147-76c1-4173-8ca3-2ea8bf54ceed · outbound

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Toric Mirror Symmetry for Homotopy Theorists Cyclic structures and broken cycles

Reference 36

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b41000c7-8516-42ab-bf0a-217a13871cc8 · outbound

This paper cites Remarks on the nonequivariant coherent-constructible correspondence for toric varieties.

Toric Mirror Symmetry for Homotopy Theorists Remarks on the nonequivariant coherent-constructible correspondence for toric varieties

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:04:24.514751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:04:23.132296Z digest=sha256:1adb3e2e417793db292fbffcb67ff760696bdcd1325317f0025ae79919d17898

Observation 97b7dd27-90b2-40f1-b20f-75a52f45b2d3 · outbound

This paper cites Categorical Logarithmic Hodge Theory, I.

Toric Mirror Symmetry for Homotopy Theorists Categorical Logarithmic Hodge Theory, I

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-10T21:04:23.195411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:04:23.195411Z digest=sha256:aa6a6137450bfa9fe3b474b154821760f70a751a8862960271184f61ddaf4518

Observation 7c679b5a-d04f-4aaf-a512-7f4d77637f0c · outbound

This paper cites Coherent-constructible correspondences and log-perfectoid mirror symme- try for the torus.

Toric Mirror Symmetry for Homotopy Theorists Coherent-constructible correspondences and log-perfectoid mirror symme- try for the torus

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:27.093835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8bb29f76-8172-432c-9a1b-bf4300c7b001 · outbound

This paper cites On coherent-constructible correspondences and incomplete topologies.

Toric Mirror Symmetry for Homotopy Theorists On coherent-constructible correspondences and incomplete topologies

Reference 40

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a77df2be-7c34-474b-810a-c17050bd10a9 · outbound

This paper cites The six operations in topology.

Toric Mirror Symmetry for Homotopy Theorists The six operations in topology

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:26.897519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 425ac4be-27e5-473c-9736-9c13ace249a5 · outbound

This paper cites Twisted polytope sheaves and coherent–constructible correspondence for toric varieties.

Toric Mirror Symmetry for Homotopy Theorists Twisted polytope sheaves and coherent–constructible correspondence for toric varieties

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:04:26.804153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:04:23.364823Z digest=sha256:06d833f6e632151299aaa0a04538b1fbae5bf5bd3c8a5930629f77940fdc7b61

Observation 7c312943-f0b3-4bdb-9ae6-a17ac90ee043 · outbound

This paper cites an unresolved cited work.

Toric Mirror Symmetry for Homotopy Theorists Unresolved cited work

Reference 1993

Resolution
parse uncertain
raw_fallback, observed 2026-08-10T21:04:29.274383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:04:21.927321Z digest=sha256:a21f77211653124f7d6b65f52a90a4f272ee9c5a041f1c44ed66564e6ec6b1a5

Observation c824d2e9-12a2-4b40-b920-9f0be28ecbd0 · outbound

This paper cites URL: http://dx.doi.org/10.

Toric Mirror Symmetry for Homotopy Theorists URL: http://dx.doi.org/10

Reference 4049

Resolution
unresolved
no resolver link, observed 2026-08-10T21:04:22.334934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:04:22.334934Z digest=sha256:47084f3663295badef4a4f7d8c858b76035755c72a9eedf4f250a38c703ade5c

Pith citing papers

Observation 9c3ee1d7-ca78-46d3-9b83-d0ee7ecf5ebc · inbound

An obstruction to lifting schemes to spectral schemes cites this paper.

An obstruction to lifting schemes to spectral schemes Toric Mirror Symmetry for Homotopy Theorists

Reference 3

Resolution
metadata mismatch
local_arxiv, observed 2026-07-14T02:50:11.279020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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