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Paper Citation Record · LEDGER

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry

As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2508.21703.

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

pith.paper-citation-record.v1
2508.21703 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T22:37:08.861519Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation ba045686-6771-4f7e-a6b5-f09773699a45 · outbound

This paper cites On weak holonomy.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry On weak holonomy

Reference 1

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:ef88f477cf2ece58deab60865aa83d9a3233e039dfe22d4b280139676a81c567

Observation 8a7fd0de-6c3d-4a44-9340-3e9a7c0f7752 · outbound

This paper cites Real Killing Spinors and Holonomy.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Real Killing Spinors and Holonomy

Reference 2

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:7b91e5b59927654131150b1caeb6a2a3159a71087d0ca079a68807b97be41a7d

Observation 8209b17d-b963-4822-b95e-020f6a7d25dd · outbound

This paper cites Associative submanifolds of the Berger space.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Associative submanifolds of the Berger space

Reference 3

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:85f8f8d657fce50657dd4ceb7c9d2fccd692273e272100e40a06fb772f2c0135

Observation 69d69a3d-e6e8-4ff1-a8b9-49bf4173e000 · outbound

This paper cites Twistors and Killing spinors on Riemannian manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Twistors and Killing spinors on Riemannian manifolds

Reference 4

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a452cb53e7be85d5e2790a13987baffd3cebfa61d60ee2ebfa97d23e29af6812

Observation 09044014-9ff2-4db5-a851-f365c5d1822e · outbound

This paper cites Einstein manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Einstein manifolds

Reference 5

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:28b502a3c8112ba380f839a4a6338cb50b14b7eb6b9d3b5915ef163ed2d65d5b

Observation f01419da-c036-43a2-b89d-d34715ac9145 · outbound

This paper cites Complete hyper-K¨ ahler 4n-manifolds with a local tri-Hamiltonian Rn-action.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Complete hyper-K¨ ahler 4n-manifolds with a local tri-Hamiltonian Rn-action

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b99bcff87f3ac55e9a7429cabb41ebf93fb30bd8ac2a37387d99a46983aa812c

Observation 2ba91272-8d5d-4347-9751-dbc7410fe7c4 · outbound

This paper cites Sasakian Geometry.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Sasakian Geometry

Reference 7

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:668fe5aa2a18b3c02452ba8986d0ce3e544d0912b5047a20de1040e187758fdd

Observation 48362d7d-63f8-433d-b767-b5c7b721d022 · outbound

This paper cites Metrics with exceptional holonomy.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Metrics with exceptional holonomy

Reference 8

Resolution
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:5388495b8800bec19d19ef7ff0a01fb145244311b47f43cde0a84180f554432f

Observation 67f800fa-e77d-4412-9d09-90962acc2840 · outbound

This paper cites Some remarks on G 2-structures.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Some remarks on G 2-structures

Reference 9

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:61d6151a9fd5cf994d5cc134e28e4ce8e239d6cb092cb7dae9df204d8e3e37c9

Observation 3fae6ab5-3ae8-4f01-b54d-0e4032dccc9a · outbound

This paper cites Classification des vari´ et´ es approximativement k¨ ahleriennes homog` enes.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Classification des vari´ et´ es approximativement k¨ ahleriennes homog` enes

Reference 10

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:4a7374f786223bd9b9ca91f50e54a2a6330db16edb983b859c9acc2ab76a61dc

Observation 27ac4d75-3795-4073-a4f0-490a6e53e45e · outbound

This paper cites Uniqueness and examples of compact toric Sasaki-Einstein metrics.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Uniqueness and examples of compact toric Sasaki-Einstein metrics

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:15d007ecd74531195a63183c0a1d8c025453000a9d9b310e4f36bccb6205ed7d

Observation 6c06ba5b-9db6-46be-ac22-dc74d36d9ceb · outbound

This paper cites Cohomogeneity-one G2-structures.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Cohomogeneity-one G2-structures

Reference 12

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:dc6cf66501cf0eb61888a913a3dee4a1e6a5360eaaa5aac5eff52ab2c7663bb2

Observation 762d20c4-8ce6-40d6-865c-2af5e9d92e70 · outbound

This paper cites Einstein metrics via intrinsic or parallel torsion.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Einstein metrics via intrinsic or parallel torsion

Reference 13

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:140c5b488c017b68f975f33d50e285edd18344390ab0559a900ccc9e3844d79f

Observation a9e33f41-9de7-44e9-87d4-6ee683190242 · outbound

This paper cites New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter

Reference 14

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:89b85a1a59bea0e7693fb576904a3534d31a5e093d0d74e26b537f3d30f22f96

Observation b5fb93d4-aeba-4ee9-93ac-c4df85b98ab1 · outbound

This paper cites Nearly parallel G2-manifolds: formality and associative submanifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Nearly parallel G2-manifolds: formality and associative submanifolds

Reference 15

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:28b850a1c112ad822f4cc6b6e450b8305d210d2e836ff73e8ced27d832521436

Observation 3f7c86b3-d2eb-4eb3-acbf-0e3e51d6c162 · outbound

This paper cites New G 2-holonomy cones and exotic nearly K¨ ahler structures onS6 and S3 × S3.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry New G 2-holonomy cones and exotic nearly K¨ ahler structures onS6 and S3 × S3

Reference 16

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:e86013355c254369202347ca6e1c8dbe8297cad758a58596902a99da99c8fd65

Observation 2a6b32b4-4205-4fee-aa6a-c4be12c07bde · outbound

This paper cites On nearly parallel G 2-structures.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry On nearly parallel G 2-structures

Reference 17

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b3649c05b3f4a28abfed19c5e65e779cbcb55b75c2084a66de5c35235a65e78e

Observation 6c9675f7-f055-4e57-8624-e837d57c2892 · outbound

This paper cites Transverse K¨ ahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Transverse K¨ ahler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds

Reference 18

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f5ae5ed09b99dc876c96e7288a955dc4b54372044b3ad770c3226014a1c2ec2d

Observation 3e62bb80-b989-488f-b80a-b4b6b73c994b · outbound

This paper cites Weak holonomy groups.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Weak holonomy groups

Reference 19

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b06f72ca953a8dcfdda82c05396db63aa1db17af368e100dab9a7b6d678a99d0

Observation 7a86c424-6306-4334-bfe9-8bacfca17f4d · outbound

This paper cites The structure of nearly K¨ ahler manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry The structure of nearly K¨ ahler manifolds

Reference 20

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:37a9176c4180c1b659ab0cbf62ee342829ad6a1089086101f9e535877c7ddb86

Observation 3936b5d9-a33d-415f-93ae-b59239d603a7 · outbound

This paper cites Calibrated geometries.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Calibrated geometries

Reference 21

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b750eef435884dd271ed7639fb81e6cbdaf98d3c0d446d02747f32b5999d71d5

Observation 81348d3c-714e-4a4d-b751-3ed7a0ada591 · outbound

This paper cites The topology of certain 3-Sasakian 7-manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry The topology of certain 3-Sasakian 7-manifolds

Reference 22

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:534e823c736eec78efaaea38df4b36c0b310eec5321601a2cc665f852ab891f2

Observation 29dc4518-ad1c-478c-af58-ac274ddcbb3c · outbound

This paper cites Some associative submanifolds of the squashed 7-sphere.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Some associative submanifolds of the squashed 7-sphere

Reference 23

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:148ffa6fdb48fd32bc0e30557fe353cc453bf369f629b74b7d0c0f7a816f666e

Observation 6c652737-8c2a-4adf-a37f-e52c44ed32f2 · outbound

This paper cites Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature

Reference 24

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:e463ab7db24bc78b58db26513f7c7eca31a007478681876f6686dd1a62c3d7a3

Observation 8d9c6a7a-5e44-4367-a3b7-723e2481f16d · outbound

This paper cites Associative submanifolds of the 7-sphere.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Associative submanifolds of the 7-sphere

Reference 25

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a02dee2d12ad34c1818375e0dc08d02eec2b0cbfc11b132b6e702a5a06b5c11b

Observation d19b63b0-f893-48d0-a2b0-9896781e4f35 · outbound

This paper cites Multi-moment maps.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Multi-moment maps

Reference 26

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raw_fallback, observed 2026-05-21T22:45:43.042236Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:48ee1328ab5e8a2acc4e35ccab8d56c3fbc7779723647c088d8c3dcc0087e94f

Observation a6ce31f4-d201-433d-966f-e5bdc94c39e2 · outbound

This paper cites Sasaki-Einstein manifolds and volume minimisation.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Sasaki-Einstein manifolds and volume minimisation

Reference 27

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raw_fallback, observed 2026-05-21T22:45:43.067440Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:4e2be743a1d6d44d177bd1958bb6d02e6763f4223d17c10fd45642069ceb7f79

Observation 8c22f9bf-e10b-40f4-90b0-162602be4142 · outbound

This paper cites Toric nearly K¨ ahler manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Toric nearly K¨ ahler manifolds

Reference 28

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raw_fallback, observed 2026-05-21T22:45:43.072185Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:ceb519ff2d9a8dce8d1b502a2b8b33cae659be1f989454736463f363a7fcab1c

Observation 00e1a9aa-44f6-4e4a-9be4-d61caffd7970 · outbound

This paper cites Nearly parallel G2-structures with large symmetry group.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Nearly parallel G2-structures with large symmetry group

Reference 29

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raw_fallback, observed 2026-05-21T22:45:43.006470Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:c80b8a4854d723e5b99cad19a10391001fd76f46e99abda9aab1fc8ee6f033fb

Observation a241e9ec-df4c-4dd6-ae46-e568daa1f00b · outbound

This paper cites Spaces admitting homogeneous G 2-structures.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Spaces admitting homogeneous G 2-structures

Reference 30

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raw_fallback, observed 2026-05-21T22:45:42.997133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:8f8ed85d2da71752fec97d19d43f0e77206c42fa0f266243224ee482d32db0e2

Observation 2af6fa31-a26c-4017-8a30-70090c7e006a · outbound

This paper cites Multi-moment maps on nearly K¨ ahler six-manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Multi-moment maps on nearly K¨ ahler six-manifolds

Reference 31

Resolution
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raw_fallback, observed 2026-05-21T22:45:42.999519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:99c123063bc07572e378d759cb056a0f05e4fa70520c7b1cc9b1c1f7549f096f

Observation 8e018ccc-339b-46c8-b9ca-c0f121167cb5 · outbound

This paper cites The Einstein condition on nearly K¨ ahler six-manifolds.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry The Einstein condition on nearly K¨ ahler six-manifolds

Reference 32

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raw_fallback, observed 2026-05-21T22:45:43.002101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:c02d50c246a22fdffe3087c05f69e20746839d8d7dd2eaf9264b553bde31c9bf

Observation 2d1a3f8e-250f-4b47-9e0e-03332614d37f · outbound

This paper cites Nearly K¨ ahler six-manifolds with two-torus symmetry.

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry Nearly K¨ ahler six-manifolds with two-torus symmetry

Reference 33

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raw_fallback, observed 2026-05-21T22:45:42.994511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:c2fc4c20877d606411b239ac58af03733f374f63a0e5bf01ec17b9530fe3b740

Pith citing papers

No inbound Pith citation observations are available.