Paper Citation Record · LEDGER

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces

As of 18 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 4 inbound Pith citation observations for arXiv:2412.19778.

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pith.paper-citation-record.v1
2412.19778 v2

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measured 65 of 65 reference resolution

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Source: arxiv_reference, observed 2026-05-25T03:30:16.973212Z

Reference resolution

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Outbound references

Observation 217eb195-e427-4a09-a6c1-27af5f0bc2aa · outbound

This paper cites On the ricci curvature of a compact k¨ ahler manifold and the complex monge-amp´ ere equation, I.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces On the ricci curvature of a compact k¨ ahler manifold and the complex monge-amp´ ere equation, I

Reference 1

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This paper cites Scalar Curvature and Projective Embeddings, I.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Scalar Curvature and Projective Embeddings, I

Reference 2

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Observation 5d4d0470-2bdb-4cfd-b7ac-ef2c06d785c0 · outbound

This paper cites Some Numerical Results in Complex Differential Geometry.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Some Numerical Results in Complex Differential Geometry

Reference 3

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This paper cites Headrick and A.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Headrick and A

Reference 4

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Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Unresolved cited work

Reference 5

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Observation 81e63863-9b19-499d-b4a7-7703a0b0055a · outbound

This paper cites A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory

Reference 6

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This paper cites Calabi-Yau metrics for quotients and complete intersections.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Calabi-Yau metrics for quotients and complete intersections

Reference 7

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This paper cites A three-generation Calabi-Yau manifold with small Hodge numbers.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces A three-generation Calabi-Yau manifold with small Hodge numbers

Reference 8

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Observation f19a6a9d-a95c-4300-aee6-04ec4c4cca99 · outbound

This paper cites Calabi-Yau threefolds and heterotic string compactification.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Calabi-Yau threefolds and heterotic string compactification

Reference 9

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This paper cites On free quotients of complete intersection Calabi-Yau manifolds.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces On free quotients of complete intersection Calabi-Yau manifolds

Reference 10

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This paper cites Calabi-Yau manifolds, discrete symmetries and string theory.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Calabi-Yau manifolds, discrete symmetries and string theory

Reference 11

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This paper cites Calabi-Yau Threefolds with Small Hodge Numbers.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Calabi-Yau Threefolds with Small Hodge Numbers

Reference 12

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This paper cites Discrete Symmetries of Complete Intersection Calabi–Yau Manifolds.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Discrete Symmetries of Complete Intersection Calabi–Yau Manifolds

Reference 13

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Observation 88535339-a5ec-4be1-afb8-b7c6bd0d405e · outbound

This paper cites Heterotic and M-theory compactifications for string phenomenology.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Heterotic and M-theory compactifications for string phenomenology

Reference 14

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Observation ec9538f7-a889-4b33-a276-31a118eff092 · outbound

This paper cites Fermion Masses and Mixing in String-Inspired Models.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Fermion Masses and Mixing in String-Inspired Models

Reference 15

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This paper cites Discrete gauge symmetries and the origin of baryon and lepton number conservation in supersymmetric versions of the standard model.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Discrete gauge symmetries and the origin of baryon and lepton number conservation in supersymmetric versions of the standard model

Reference 16

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This paper cites New Calabi-Yau manifolds with small Hodge numbers.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces New Calabi-Yau manifolds with small Hodge numbers

Reference 17

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This paper cites Highly Symmetric Quintic Quotients.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Highly Symmetric Quintic Quotients

Reference 18

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This paper cites Hodge numbers for CICYs with sym- metries of order divisible by 4.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Hodge numbers for CICYs with sym- metries of order divisible by 4

Reference 19

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This paper cites The family problem: hints from heterotic line bundle models.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces The family problem: hints from heterotic line bundle models

Reference 20

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Observation 2913a8a0-bcae-420f-8317-6f67a53ec61f · outbound

This paper cites Neural network approximations for Calabi- Yau metrics.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Neural network approximations for Calabi- Yau metrics

Reference 21

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Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Unresolved cited work

Reference 22

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This paper cites Approximation by superpositions of a sigmoidal function.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Approximation by superpositions of a sigmoidal function

Reference 23

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This paper cites Multilayer feedforward networks are universal approximators.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Multilayer feedforward networks are universal approximators

Reference 24

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This paper cites Approximation capabilities of multilayer feedforward networks.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Approximation capabilities of multilayer feedforward networks

Reference 25

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Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Unresolved cited work

Reference 26

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This paper cites Raissi, P.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Raissi, P

Reference 27

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This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 28

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This paper cites Vacuum configurations for superstrings.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Vacuum configurations for superstrings

Reference 29

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This paper cites Distributions of flux vacua.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Distributions of flux vacua

Reference 30

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This paper cites Candelas and X.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Candelas and X

Reference 31

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This paper cites H¨ ubsch.Calabi-Yau Manifolds: A Bestiary for Physicists.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces H¨ ubsch.Calabi-Yau Manifolds: A Bestiary for Physicists

Reference 32

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This paper cites Numerical Calabi-Yau metrics.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Numerical Calabi-Yau metrics

Reference 33

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This paper cites Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic

Reference 34

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This paper cites Larfors, A.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Larfors, A

Reference 35

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This paper cites Hendi, M.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Hendi, M

Reference 36

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Observation 85092cea-f38b-4253-af93-5180ad98f863 · outbound

This paper cites Machine Learned Calabi-Yau Metrics and Curvature.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Machine Learned Calabi-Yau Metrics and Curvature

Reference 37

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This paper cites Machine learning Calabi-Yau metrics.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Machine learning Calabi-Yau metrics

Reference 38

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This paper cites CYJAX: A package for Calabi-Yau metrics with JAX.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces CYJAX: A package for Calabi-Yau metrics with JAX

Reference 39

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This paper cites Numerical Ricci-flat metrics on K3.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Numerical Ricci-flat metrics on K3

Reference 40

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This paper cites Lectures on Numerical and Machine Learning Methods for Approximating Ricci-flat Calabi-Yau Metrics.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Lectures on Numerical and Machine Learning Methods for Approximating Ricci-flat Calabi-Yau Metrics

Reference 41

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This paper cites Physical Yukawa Couplings in Heterotic String Compactifications.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Physical Yukawa Couplings in Heterotic String Compactifications

Reference 42

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This paper cites Symmetry breaking patterns in superstring models.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Symmetry breaking patterns in superstring models

Reference 43

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This paper cites Moduli-dependent Calabi-Yau and SU(3)-structure metrics from machine learning.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Moduli-dependent Calabi-Yau and SU(3)-structure metrics from machine learning

Reference 44

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Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces K3 metrics

Reference 45

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This paper cites cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature

Reference 46

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This paper cites KAN: Kolmogorov-Arnold Networks.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces KAN: Kolmogorov-Arnold Networks

Reference 47

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This paper cites On the Representation of Continuous Functions of Several Variables by Superposition of Continuous Functions of One Variable and Addition.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces On the Representation of Continuous Functions of Several Variables by Superposition of Continuous Functions of One Variable and Addition

Reference 48

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This paper cites Representation of continuous functions of three variables by the superposition of continuous functions of two variables.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Representation of continuous functions of three variables by the superposition of continuous functions of two variables

Reference 49

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Observation ebaa94b9-b545-4f67-ac93-b43bf504f2ff · outbound

This paper cites Discovering Symbolic Models from Deep Learning with Inductive Biases.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Discovering Symbolic Models from Deep Learning with Inductive Biases

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.576236Z

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.

Observation 6dc8e0ff-10a5-4560-bb53-4f9042e93bcb · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-10T23:59:51.307384Z

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Observation 3a7a33f6-0112-445f-a738-fd3e7b25c74e · outbound

This paper cites Axiomatic attribution for deep networks.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Axiomatic attribution for deep networks

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.549965Z

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.

Observation 8332a38d-0d1b-4f54-b4c9-fbf3108ef84f · outbound

This paper cites Layer-Wise Relevance Propagation: An Overview.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Layer-Wise Relevance Propagation: An Overview

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.501344Z

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.

Observation bbe25db2-3c9a-4d0c-b53c-741a50e5e0c6 · outbound

This paper cites Advancing mathematics by guiding human intuition with AI.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Advancing mathematics by guiding human intuition with AI

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-10T23:59:51.339587Z

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Observation f8ace113-b629-4563-8b2c-572264687f70 · outbound

This paper cites Villar, D.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Villar, D

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.479023Z

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.

Observation ec724058-73d0-4961-aa23-99d3e5224fb0 · outbound

This paper cites an unresolved cited work.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:59:52.451189Z

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.

Observation 3eae16b7-94cd-4d68-a5de-1ccf03ab430c · outbound

This paper cites Herstellung von Graphen mit vorgegebener abstrakter Gruppe.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Herstellung von Graphen mit vorgegebener abstrakter Gruppe

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.424119Z

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.

Observation 8105aec1-9270-4834-8dda-925dc76530aa · outbound

This paper cites Isometries, Local Isometries, Riemannian Coverings and Submersions, and Killing Vector Fields.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Isometries, Local Isometries, Riemannian Coverings and Submersions, and Killing Vector Fields

Reference 58

Resolution: verified exact; doi, observed 2026-08-10T23:59:51.570061Z

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.

Observation 2cdbdaed-53b5-4ad1-9e7b-e69bfba8dd96 · outbound

This paper cites Bradbury, R.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Bradbury, R

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.394690Z

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.

Observation 453765aa-1fb9-4faa-874c-77e66ebe357d · outbound

This paper cites Numerical Calabi-Yau metrics from holomorphic networks.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Numerical Calabi-Yau metrics from holomorphic networks

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-10T23:59:51.388479Z

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Observation 20dca3cf-edb4-41fc-950b-07892545cab0 · outbound

This paper cites Lectures on complex geometry, Calabi-Yau manifolds and toric geometry.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Lectures on complex geometry, Calabi-Yau manifolds and toric geometry

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-10T23:59:51.395368Z

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Observation 24c2ce02-d0b3-4d79-bba3-9bc2facac130 · outbound

This paper cites Kummer quartic surfaces, strict self-duality, and more.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Kummer quartic surfaces, strict self-duality, and more

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:59:51.495904Z

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.

Observation 676d427d-c024-464f-b34a-bbd49c649944 · outbound

This paper cites IEEE Standard for Floating-Point Arithmetic.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces IEEE Standard for Floating-Point Arithmetic

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-10T23:59:51.411022Z

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Unavailable: canonical work link unavailable.

Observation d925d2ff-d4e5-4789-bba9-3b14b5b71cdb · outbound

This paper cites Sydney, NSW, Australia: JMLR.org, Aug.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Sydney, NSW, Australia: JMLR.org, Aug

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:59:52.526927Z

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.

Observation 91f5b70d-4ef2-471f-8c8c-71fef949deb3 · outbound

This paper cites an unresolved cited work.

Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces Unresolved cited work

Reference 209

Resolution: unresolved; no resolver link, observed 2026-08-10T23:59:51.333178Z

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Pith citing papers

Observation 2957dbcc-1353-4605-a5aa-d4d6817eca70 · inbound

Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux cites this paper.

Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-10T20:26:29.400073Z

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Observation df8b5cca-67e5-4f7c-bd9a-7de21f958350 · inbound

Interpretable Analytic Calabi-Yau Metrics via Symbolic Distillation cites this paper.

Interpretable Analytic Calabi-Yau Metrics via Symbolic Distillation Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T03:33:22.155207Z

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Unavailable: canonical work link unavailable.

Observation 3355b1fa-04fc-4d0b-b815-ec79c978a804 · inbound

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

What to do with a Ricci-flat Calabi--Yau metric? Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces

Reference 114

Resolution: verified exact; arxiv_id, observed 2026-05-25T03:30:16.975780Z

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.

Observation 2a1f134e-057a-4ca0-9382-eba3ed436483 · inbound

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

What to do with a Ricci-flat Calabi--Yau metric? Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces

Reference 114

Resolution: unresolved; no resolver link, observed 2026-08-02T13:21:49.680593Z

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