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Paper Citation Record · LEDGER

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

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:5015438a750fd8c23a73e54bbfd45d7e2540b51536be6b457181ae8ed5b21f6f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b36d9cd7603690e2d3cfe810c3ff1eac0bbeeff227c7f9afa2bd2d0854366014

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a13d492e5132eaf9323182192e2b36a497302abcb8caef78d3b938e30db632a5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:3f771ba1826b39e5fe47c0292d62290929aec32a103223b7c6f5b4eb82e18ee1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:adc5cf90deec8ff87923e05285a5c318bfea0ebd73eb9184a4792ea47e2f193d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b2f2f3fef74f559f02e10c93deea289b9ce5a6b84ba2ae54155bcf87aad385a2

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:dd173322861fba3f6913e988343602ca38a70966301313b1ee899afb5428603f

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

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a69aad82ae1977800b373eb96a6753d97db0e718e1a0b26f02cb9d93f5855e3f

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:3f809329db3badcd0ececc5cbf997217cfadc0aaab00e4cc1107063b5f6446a5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:c12780d2cebf7202dadf89dc66cd9c8777ad1d3ba33d99e054e9814f8da3e5b6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:36bf9b6e39dde860e4dc5112fe78b4914909bd6e192b2c9565d40518a04f6009

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:4035063184f9472b33255e44837747f00c2462a12e57588b45e4872797d3ab3d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:8590f1d174d51e00cc79f90eda0ff08ff0670440f36a8c0c8f44e74b5ee000bd

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

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:bbd573220ad061a36153bb80e8150f129b0102ce3094082fff626939fc5cbf89

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

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:31da4903a1e94a8beece0e18ecb6aa5007c525c716fc95c72620a6f9f27677af

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

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:276eea4a1ddd66cceefd612b6c7b794be29e1f6f432f112d152f55f228b26382

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

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f7df066b0fe36c62264e665db4fe27c225c8672832ac0ea677248b3fd3b00593

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f31f002265c8f23d2b1ff15e37f7da3670a7e924a45c2bb143b708e7d3f55489

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b446e5a95a759e72626899db2ad6bbf4e41850ce3b7ab0d225397607d4552518

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:ad2528261009e944526e5c5b3736f08434db7c4833140eef4d68b133b0762ac4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b5566b590981d0441349cb5684c977e6444b5a5ffbcd517b3cbc5d323a424d69

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:206046ea7f093927670a8d9de7b5e46955b7a73360136ab7040dd319a044aae4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:3c05378a6151fca8ed793a9de33ee936cb3833ba2eae7855b558b77d97d1b913

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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source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:27da96b7430eacec5481cdbd04e51097fd123172b1f6eb0cd8adfef4db7d2655

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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raw_fallback, observed 2026-05-21T22:45:43.020738Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f29f0847d787fbab494da579420a5ea393e64577f380006575b30f668070862c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:8b6931f6962af4fcbe6d94d4d9dea4fd20ba065545600c6adfd725471cdbee75

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:9dde74a45ae221837c02c84e1f0c0ac93ffda47cef5d105a5e92c628158b6dde

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f1eb2d92b7beb83e21377a9653d4c8e5873fa7c4063b9e8f2a7853803194714c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:abf74cb0e7a0cecbfa9cfe786e8a6b9f1ba3bfecfdf97eb3adb6fbc661c2fb64

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:1301567a67303749181caf5fcd212c7a0bf732f886edde7ba56a97b8bf5cdcf6

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

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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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a7365c19e3ca72c8790bcefa7eda5e71693131dbb5ac0bc0619117ab2bb00967

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f5614ae08812ba83842bad586adf8b4f3cebca5ebde83f823221e7f76a435e54

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:c4d0fba104a11fc9f709e6b3abed9bfed037b394e47d9d26a59770d976a5a7a8

Pith citing papers

No inbound Pith citation observations are available.