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Paper Citation Record · LEDGER

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

As of 12 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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:993b36e93a29dfe74e17bf8f3865b28f9928100f3e564b6ecaa6357db86738f4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:5a8f326ce54f190d61b920f832351555d493ee5d0b0af4ae8becf80b04d988db

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:832e942e4220653dce7e8ee883e483b4138e6639efe1ae04d209ac0fd96666e2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:95cf417dbf42401168f0990e113cd92b5783c102b583619da7e3a6c2c7578306

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:5bf1e7d2996586a3027d10ba5a0f0ddbd85b44ef44eea8c6880f8450c5594369

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

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raw_fallback, observed 2026-05-21T22:45:43.057574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:82df0430ca32033c73c5114f76133e67624828971904599a89039087c9eb7880

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:2c88786e0cdf01028a83efa0af17be734e3abc55ca7f18d3493104f388e2193c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b24c652179f335bb091f9bf5cf6b5d8fcf4104a5bf75ffbb6e4aead6514bf2ad

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a21e29f2f9cec769b3e47f7bafc66a12a86474f5e905453e84c243a1869b102f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:24512daf4bccb5c57611609bda4ebeca038a7349a8e5a7267d64dc43051115a3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:14aa9d9d1b35912720d8c458a575490e56abc4fed0e8f8687a3ac34596dd6c9a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:853654f24a810fe68eb64e9cf97f36c22387c7c22f5aa91b5671303dc05b1698

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:fa267e54711d487a9d7cb02c684774e151770d9955b84438ebca961d4952f602

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:d89d1fd122a8d228a527e8e4f29219dd5bb58f586bdb01e43409c54eb790fb04

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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source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:4f6d071e82bb5d61213dd914d698b56957a7a00f728d34e0062164d56c14273b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:e4fe321ea4b5b5ef91a7ac2cca108d21a90bd41192996548d5365ac5e7b5593f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:7e16689a4d955eba0be280a4f828d07774973a77d1c5b345053c74f38659381a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:b91b108e0d445c508067e98813cbd080e0d631ff531337f510682c1f552bfdde

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:e0108937e538d3c8d98a0365ecf82af52ff038b7497d05723c5d1a09b1cdde63

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:7f816474df1ae8d2c5ae2b2363bb8946df2eb114ee30e3235e52863920d7fef2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:c64021183b062c9d0cd9a6a8baf4c967cbc720ed838f4a2725981cb87254d8ce

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:f8cd0a15b5ce687aad540bcba99dbc7042bd8626543e336d2afdd20a391e6a22

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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raw_fallback, observed 2026-05-21T22:45:43.025702Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:1b2f2dee13e50e375432ab44fb6d6fefb2dac96a92b107cceffd3a6630393a52

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:3a1b661425e50a7d3989c0ea963ff5f95f404892a3ae206a06f5bcc6302b948b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:93857187162e6e62b433ac29e52c9d20ba75caadaff8871e84c075322056e20d

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:7ef1448260f31ee4460bfc56c56a60834cc1aab5c7703c038eee806b960b1b5d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:bdf6dc8811e5ef7bc68e6dc2f6115833f2e33f7f8743174d5071934a036446cd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:92d4a317d9d84257b99d58db7948b53eb11b28d0166a8bc7639593ea297fa796

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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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:9ecd8a340d534f2a7461daa77308a11741912592ad6460f346ce950a4920f2ff

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:cfd692b8d765006b863f0c6a1da726378b86fe874f396fab04c4745cf7844bac

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:22a7ae5a92b823bc77ef35d61e71e6f8e11f8f96cc3d6c5122d2e730e74eb9e4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:a96730dfd17fe2793177c34054e2868d4751b6aa771bfee676f5b907e5ad7367

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T22:37:08.861519Z digest=sha256:cdae00d194206da7ebdd726b71c1facc4eabe93bccc6d8b1fbf1e6cc3ecc8064

Pith citing papers

No inbound Pith citation observations are available.