Paper Citation Record · LEDGER

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 6 inbound Pith citation observations for arXiv:2506.15766.

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

pith.paper-citation-record.v1
2506.15766 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:58:14.069701Z

measured 26 of 26 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:33:21.178167Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy3
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 518eea55-3fb9-48d3-9f8a-0d6c3f4bbe76 · outbound

This paper cites Some numerical results in complex differential geometry,.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Some numerical results in complex differential geometry,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:58:15.262042Z

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 c1e16575-173c-487e-b49f-fdddbd24fc9b · outbound

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

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.451130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3397ec6-f20a-4b9c-a3c1-c8da49b01a6a · outbound

This paper cites Numerical Calabi-Yau metrics.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical Calabi-Yau metrics

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.524385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 950782a8-712b-4521-a6bf-43072429a1a6 · outbound

This paper cites Calabi-Yau Metrics for Quotients and Complete Intersections.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Calabi-Yau Metrics for Quotients and Complete Intersections

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.573621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56821762-d358-4093-a013-252e7922ba33 · outbound

This paper cites Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.663231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af9f6324-bf34-4c82-9d05-dbb0786766ab · outbound

This paper cites Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.714411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05120c73-d6d5-4796-bc25-9d4dd3510164 · outbound

This paper cites Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.828807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ce5e078-654a-4032-8def-656d5b84ff74 · outbound

This paper cites Energy functionals for Calabi-Yau metrics.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Energy functionals for Calabi-Yau metrics

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:12.902971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cc37a50-a4b8-49ce-ae4d-9795cc3b42d8 · outbound

This paper cites Numerical Metrics, Curvature Expansions and Calabi-Yau Manifolds.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical Metrics, Curvature Expansions and Calabi-Yau Manifolds

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:58:14.577593Z

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 0bc36f56-a339-422a-942c-455cb9a8218c · outbound

This paper cites Machine learning Calabi-Yau metrics.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Machine learning Calabi-Yau metrics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.096469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89086e20-5f50-450d-ba75-cd5627b50667 · outbound

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

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical Calabi-Yau metrics from holomorphic networks

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.195019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 479de54b-28ea-41d2-822f-6ebf1200598e · outbound

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

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.279374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4e6a6f1-7f4b-4eaa-bed5-cdaae6158570 · outbound

This paper cites Neural Network Approximations for Calabi-Yau Metrics.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Neural Network Approximations for Calabi-Yau Metrics

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.354076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 858f3c9d-f4d9-46af-8fc3-9f2059f0f618 · outbound

This paper cites Learning Size and Shape of Calabi-Yau Spaces.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Learning Size and Shape of Calabi-Yau Spaces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.449457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9b86d2a-8d5e-49e5-870f-8dd151d4b67c · outbound

This paper cites Calabi-Yau Metrics, Energy Functionals and Machine-Learning.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Calabi-Yau Metrics, Energy Functionals and Machine-Learning

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.555421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8313c6cf-055c-40db-ba18-cd991f34127d · outbound

This paper cites Numerical Metrics for Complete Intersection and Kreuzer-Skarke Calabi-Yau Manifolds.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Numerical Metrics for Complete Intersection and Kreuzer-Skarke Calabi-Yau Manifolds

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.654879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc48e0c5-ae42-40ec-814b-e2f39c8f0d38 · outbound

This paper cites Attractors, Geodesics, and the Geometry of Moduli Spaces.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Attractors, Geodesics, and the Geometry of Moduli Spaces

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:58:14.307521Z

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 0c5abe01-e62e-4a6a-bb7a-9bdf9c35a2b8 · outbound

This paper cites Computation of Quark Masses from String Theory.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Computation of Quark Masses from String Theory

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T23:58:13.863379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39ea7d77-a10d-41fe-8aac-16a4bd3e4013 · outbound

This paper cites Calabi-Yau manifolds: A Bestiary for physicists.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Calabi-Yau manifolds: A Bestiary for physicists

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:58:15.039383Z

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 c38a633a-e3cb-40ff-af8f-bc6a17f7e56e · outbound

This paper cites Compact Manifolds with Special Holonomy.

Approximate Ricci-flat Metrics for Calabi-Yau Manifolds Compact Manifolds with Special Holonomy

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:58:14.866644Z

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.

Pith citing papers

Observation f49eee3f-fbf2-4d07-88a9-c24363bcc552 · inbound

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

Interpretable Analytic Calabi-Yau Metrics via Symbolic Distillation Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T03:33:21.178167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e998cf2f-585e-4437-b4eb-58fe109fa7a5 · inbound

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

What to do with a Ricci-flat Calabi--Yau metric? Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Reference 115

Resolution: verified exact; arxiv_id, observed 2026-05-25T03:30:16.912598Z

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 f465749a-6d73-49e2-b160-3d22197a7470 · inbound

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

What to do with a Ricci-flat Calabi--Yau metric? Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Reference 115

Resolution: unresolved; no resolver link, observed 2026-08-02T13:21:49.686438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d44ccdc-866d-4d33-9017-3bbf0c34ed15 · inbound

The Sharp Edges of Calabi-Yau Manifolds: Designing Symmetric Models for Ricci-flat Metrics cites this paper.

The Sharp Edges of Calabi-Yau Manifolds: Designing Symmetric Models for Ricci-flat Metrics Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Reference 43

Resolution: verified exact; arxiv_id, observed 2026-06-26T03:28:57.444182Z

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 dbb7af2f-8e33-475e-9a2b-8e8a2874677a · inbound

Calabi-Yau Metrics with Full Moduli Dependence cites this paper.

Calabi-Yau Metrics with Full Moduli Dependence Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T15:45:47.776910Z

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 ea0a4d0c-81ac-450a-880b-fa8f2d0267c0 · inbound

Balanced Metrics Know About SYZ cites this paper.

Balanced Metrics Know About SYZ Approximate Ricci-flat Metrics for Calabi-Yau Manifolds

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T01:41:53.772418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.