Paper Citation Record · LEDGER

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 24 inbound Pith citation observations for arXiv:alg-geom/9310003.

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

pith.paper-citation-record.v1
alg-geom/9310003 v1

Coverage vector

measured 0 of 0 reference resolution

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measured 24 of 24 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 24 of 24 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:34:35.692420Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T02:29:24.165470Z

Reference resolution

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External citation measurements

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Outbound references

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Pith citing papers

Observation abdf0eda-afce-4769-975c-4af7cc2c44b1 · inbound

Lectures on Naturalness, String Landscape and Multiverse cites this paper.

Lectures on Naturalness, String Landscape and Multiverse Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 149

Resolution: verified exact; local_arxiv, observed 2026-05-24T15:04:36.755087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a4b81f02-5324-441b-a4d3-d39bc315ff18 · inbound

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces cites this paper.

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-05-24T02:53:48.003928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c6381ce5-be28-4ba7-acc5-713eb4719bbf · inbound

Ricci-Flat Mirror Hypersurfaces in Spaces of General Type cites this paper.

Ricci-Flat Mirror Hypersurfaces in Spaces of General Type Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T18:08:04.858792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1dbab79-8fbf-4db2-b22e-b19d1cc52a35 · inbound

Beyond Algebraic Superstring Compactification cites this paper.

Beyond Algebraic Superstring Compactification Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-08T11:14:19.631527Z

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Observation 4c4a1dee-21c7-4f12-b7aa-6411c513e2ae · inbound

Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds cites this paper.

Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T23:57:36.603674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21c3b224-3958-486d-abd4-0cfff6c6d5c2 · inbound

String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion cites this paper.

String Theory and Grand Unification Suggest a Sub-Microelectronvolt QCD Axion Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-07T15:17:18.659848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22c60b2b-0082-4724-98c6-181f3694263c · inbound

Fano and Reflexive Polytopes from Feynman Integrals cites this paper.

Fano and Reflexive Polytopes from Feynman Integrals Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-05-21T17:24:16.441621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c4b082f7-7bee-4c4e-82db-3fcf834beb77 · inbound

Calabi-Yau Threefolds from Vex Triangulations cites this paper.

Calabi-Yau Threefolds from Vex Triangulations Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T16:13:54.735845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06d7caaf-dfd1-4b00-b384-872886492d69 · inbound

Constraining F-theory Model Building with QCD Axions cites this paper.

Constraining F-theory Model Building with QCD Axions Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 108

Resolution: verified exact; arxiv_id, observed 2026-05-12T00:26:18.421539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f4d978b3-9bda-4e4d-b2df-53c62373b6ca · inbound

Constraining F-theory Model Building with QCD Axions cites this paper.

Constraining F-theory Model Building with QCD Axions Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 128

Resolution: verified exact; local_arxiv, observed 2026-05-14T20:59:29.153207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9b33915f-d89f-4291-ab28-fd286c270bf3 · inbound

Beyond Algebraic Superstring Compactification: Part II cites this paper.

Beyond Algebraic Superstring Compactification: Part II Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-11T04:25:59.861278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f85321f0-946b-4f99-940e-c73429ea86a7 · inbound

Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees cites this paper.

Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-25T05:30:22.792460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5c25f024-ab5d-4b4c-b3e8-cf2176377ce9 · inbound

What to do with a Ricci-flat Calabi--Yau metric? cites this paper.

What to do with a Ricci-flat Calabi--Yau metric? Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-05-25T03:30:16.812641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ea632340-fafd-440e-a880-069a57bd4d83 · inbound

What to do with a Ricci-flat Calabi--Yau metric? cites this paper.

What to do with a Ricci-flat Calabi--Yau metric? Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T13:21:49.289404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45c6edff-6ff3-4210-9c62-cd1893688ecf · inbound

Beyond Algebraic Solutions to Stringy Spacetime cites this paper.

Beyond Algebraic Solutions to Stringy Spacetime Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-06-30T12:54:39.889464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5016703f-9cc2-41e0-8a7b-7298b6f90191 · inbound

Sampling Triangulations and Calabi-Yau Threefolds with Autoregressive GNNs cites this paper.

Sampling Triangulations and Calabi-Yau Threefolds with Autoregressive GNNs Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-06-29T15:23:32.725053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c3b3a0ea-1ac1-419f-a5fb-375eda0324e5 · inbound

TriSearch: Learning to Optimize Triangulations via Bistellar Flips cites this paper.

TriSearch: Learning to Optimize Triangulations via Bistellar Flips Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-29T08:53:15.588687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7fc76bec-2e06-402b-b699-73b84805b18a · inbound

An elliptic approach to Reid's fantasy cites this paper.

An elliptic approach to Reid's fantasy Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-07-02T23:17:29.439754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bd0f7a18-bbbb-459c-8c5d-b0709570993c · inbound

On Calabi-Yau Threefolds For Unified LVS Inflation cites this paper.

On Calabi-Yau Threefolds For Unified LVS Inflation Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-03T06:57:43.113763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fcb4b2de-0008-44cb-bd30-0be88d9eb275 · inbound

Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts cites this paper.

Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-04T02:29:24.166832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 089fe54d-2e18-4769-b78d-bdfc281b756d · inbound

Abelian Orbifolds for Brane Brick Models cites this paper.

Abelian Orbifolds for Brane Brick Models Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-01T17:35:51.219951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9719fc70-bbd5-4c62-83f1-53e72591a9b7 · inbound

The complete massless singlet spectrum in the free-field construction of heterotic strings on Calabi--Yau orbifolds cites this paper.

The complete massless singlet spectrum in the free-field construction of heterotic strings on Calabi--Yau orbifolds Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T12:56:47.460778Z

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Unavailable: canonical work link unavailable.

Observation e46edf50-ecdb-4c68-80cc-f4bb424fffb7 · inbound

Penumbral Inflation from Calabi-Yau Boundaries cites this paper.

Penumbral Inflation from Calabi-Yau Boundaries Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-03T05:33:13.353192Z

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Unavailable: canonical work link unavailable.

Observation dfa124c7-a1a0-44bb-8a64-0a186b4928b8 · inbound

Ricci-flat metrics from gauged linear $\sigma$-models without RG flow cites this paper.

Ricci-flat metrics from gauged linear $\sigma$-models without RG flow Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T04:34:35.692420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.