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Paper Citation Record · LEDGER

Iterated Whitehead products in the homotopy groups of polyhedral products

As of 14 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2606.13165.

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

pith.paper-citation-record.v1
2606.13165 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:15:10.476850Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation 0dc31838-fb9e-48a0-b5d0-eefee9be9408 · outbound

This paper cites Iterated higher Whitehead products in topology of moment-angle complexes (Russian).

Iterated Whitehead products in the homotopy groups of polyhedral products Iterated higher Whitehead products in topology of moment-angle complexes (Russian)

Reference 1

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:5d10bf051bcce69aac799a0cef1dc3613bbda594c2ea2c4d57f11f1d1ecfb9f3

Observation 997fe38f-3d99-4e9b-9524-42aeff553343 · outbound

This paper cites Higher Whitehead products in moment--angle complexes and substitution of simplicial complexes (Russian).

Iterated Whitehead products in the homotopy groups of polyhedral products Higher Whitehead products in moment--angle complexes and substitution of simplicial complexes (Russian)

Reference 2

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:7f5ba06ce3f751dbed9a71bc911de89cd71f706284c8afe0306ff139b5a74d49

Observation 6fb40608-625f-4e9b-bf38-15bc2952edbe · outbound

This paper cites Higher chordality: from graphs to complexes.

Iterated Whitehead products in the homotopy groups of polyhedral products Higher chordality: from graphs to complexes

Reference 3

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:478a722cd7e9e0b8ac234ce971e1ae7ada50e52a1a896f888a0565f3ffdbcf83

Observation 2af1bb83-e654-493d-ae00-7d620d8d9610 · outbound

This paper cites On the homotopy classification of the extensions of a fixed map.

Iterated Whitehead products in the homotopy groups of polyhedral products On the homotopy classification of the extensions of a fixed map

Reference 4

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:00eb3a2bcbb68feea8e4f1b7d668dcc26d0592e533bddc9788c3f0f1edfd2e5d

Observation 1b82aa99-62d5-43ce-8816-2ad68674ba6e · outbound

This paper cites On join operations in homotopy groups.

Iterated Whitehead products in the homotopy groups of polyhedral products On join operations in homotopy groups

Reference 5

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:94109a7710ea020cb51de6dcdf8d84cc260db32ac898588372968c316b02f99e

Observation 12f17b13-19c9-4f35-98ee-0e736c35caf7 · outbound

This paper cites Obstruction Theory on Homotopy Classification of Maps.

Iterated Whitehead products in the homotopy groups of polyhedral products Obstruction Theory on Homotopy Classification of Maps

Reference 6

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:05d5e399d6d2527cb58cb63e00932c153f8208032c94f36db7926fc5c424e317

Observation 3cb1123e-cc6a-477c-8604-20ea2d76da59 · outbound

This paper cites Commutator Calculus and Groups of Homotopy Classes.

Iterated Whitehead products in the homotopy groups of polyhedral products Commutator Calculus and Groups of Homotopy Classes

Reference 7

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:989dea0f43246192968856641f172fe9e458668c870e37c737060e7a91c624b6

Observation 1c8b1863-7ded-4168-b694-f3f1fa09a17b · outbound

This paper cites Homotopy Type and Homology.

Iterated Whitehead products in the homotopy groups of polyhedral products Homotopy Type and Homology

Reference 8

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:d87fda8d4e71538afc4b0d5bfa5b404e6c0b8bc18337fe487477069943e33360

Observation d68e47ae-0fb8-443c-a726-2b74c8ef8070 · outbound

This paper cites Products in homotopy theory.

Iterated Whitehead products in the homotopy groups of polyhedral products Products in homotopy theory

Reference 9

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:9c73d85f28d7b81c16c1ac3fe4f19a29b2fd445455980a78158d3fce3fa4eac5

Observation cd6dd0cb-3a54-4804-b2ca-073903c41879 · outbound

This paper cites Michael; Steer, Brian.

Iterated Whitehead products in the homotopy groups of polyhedral products Michael; Steer, Brian

Reference 10

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:8cb5fd400a400c8ca410aa682d43bf775131825cd1bebd736efeb8a4530c84cd

Observation 2ad8c37d-ba5a-400d-8a26-edbe7b99d563 · outbound

This paper cites Toric Topology.

Iterated Whitehead products in the homotopy groups of polyhedral products Toric Topology

Reference 11

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:6101155908e41fef3d858ea240ae895f1ecb7e760f4f811f0c4cad591532ebec

Observation 4c613477-9ce5-4226-87eb-c157ac3f8ced · outbound

This paper cites Moment-angle complexes, monomial ideals and Massey products.

Iterated Whitehead products in the homotopy groups of polyhedral products Moment-angle complexes, monomial ideals and Massey products

Reference 12

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:15155a2a539011407213bba38e2606b7d56d8e41d8ef5170549d151aa5b09ff8

Observation 1527c257-9eb8-4901-a3c2-da3d8c6d8925 · outbound

This paper cites Loop spaces of polyhedral products associated with the polyhedral join product.

Iterated Whitehead products in the homotopy groups of polyhedral products Loop spaces of polyhedral products associated with the polyhedral join product

Reference 13

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:8f9021f4a1398134aba1b27bb9a049bfe8a907438fc7bd4e3e51bf3fa3560261

Observation 39fe7677-2330-4bb6-b3ac-3ea8c75fee37 · outbound

This paper cites A generalization of the homology and homotopy suspension.

Iterated Whitehead products in the homotopy groups of polyhedral products A generalization of the homology and homotopy suspension

Reference 14

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:39b6ab8ff13d1693817de6223a8a1f2ba9edb89557793d3f5756f03ed4afdb34

Observation 77e33c9a-266b-4db8-9ba7-fc558c727b20 · outbound

This paper cites Gottlieb groups of spheres.

Iterated Whitehead products in the homotopy groups of polyhedral products Gottlieb groups of spheres

Reference 15

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:68e77696c15a40dba3145bb77c4ae9de2c8f2e3361cceeb82661fe9b4f47fad6

Observation 8f41953f-956a-4afe-932a-1821f2c29995 · outbound

This paper cites The homotopy type of moment-angle complexes for flag complexes.

Iterated Whitehead products in the homotopy groups of polyhedral products The homotopy type of moment-angle complexes for flag complexes

Reference 16

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:0d40aa473fbbbf8499da3743b78d89f95848100f7979761be940afe786c161ed

Observation 5a0dc271-ba44-488e-bdbc-a4a779f1b378 · outbound

This paper cites Relations among higher Whitehead maps.

Iterated Whitehead products in the homotopy groups of polyhedral products Relations among higher Whitehead maps

Reference 17

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:659003c939aede95db8a1d87d2de5f49788b964a3d0823a1d3c0a4288c023567

Observation efae56fa-8bc9-4627-8a5f-40817fab6e28 · outbound

This paper cites On the homotopy groups of the union of spheres.

Iterated Whitehead products in the homotopy groups of polyhedral products On the homotopy groups of the union of spheres

Reference 18

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:bfbcd3dac175db08b33bf94480260c05922ec4c9ffc01c6058018421e9488f42

Observation 5f758e03-ff84-430d-bf46-36d2a6a6460e · outbound

This paper cites Note on quasi-Lie rings.

Iterated Whitehead products in the homotopy groups of polyhedral products Note on quasi-Lie rings

Reference 19

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:8beb291526c190cec319ce0bebe03ba3fdf451723a242ca0c9aff68f4b856d56

Observation 0ba72a06-4c85-4b41-ac9f-310411a4cae7 · outbound

This paper cites Whitehead products in moment-angle complexes.

Iterated Whitehead products in the homotopy groups of polyhedral products Whitehead products in moment-angle complexes

Reference 20

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:2e9d293abcb54bb462747779f6488c977c8f7842b5eebc53d071c597ee87edb4

Observation 97826b10-d15b-4bd4-a321-839af51b8409 · outbound

This paper cites Divisor spaces on punctured Riemann surfaces.

Iterated Whitehead products in the homotopy groups of polyhedral products Divisor spaces on punctured Riemann surfaces

Reference 21

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:073d5eae7b604f7c7b4a85b9039b989a4b388be9491b72aceff297e4cec7ba78

Observation d95a9949-f5bd-4f2f-abe3-d66909dd0156 · outbound

This paper cites The factorization of cyclic reduced powers by secondary cohomology operations.

Iterated Whitehead products in the homotopy groups of polyhedral products The factorization of cyclic reduced powers by secondary cohomology operations

Reference 22

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:88a85c61a2a113e20f6d4b89136b82dd47afff972b2339b001dde5316a5329c5

Observation 0dad6545-c716-43b3-9618-d1f1cf75c733 · outbound

This paper cites Adjacent connected sums and torus actions.

Iterated Whitehead products in the homotopy groups of polyhedral products Adjacent connected sums and torus actions

Reference 23

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:04c80db73205b42e136f2ba4ffb546da38c047e798b6dcd232eac5b3ba09075a

Observation 3aedad81-fc5c-4f0a-ba64-f7ebf6800f0c · outbound

This paper cites On Jacobi identity for Whitehead products.

Iterated Whitehead products in the homotopy groups of polyhedral products On Jacobi identity for Whitehead products

Reference 24

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:356938dac3185dada6f5217ed3ce556dfa721331107f9d36e1e68e51880418f3

Observation ed19be37-9301-4016-9cdb-b487099cb2e9 · outbound

This paper cites Categorical aspects of toric topology.

Iterated Whitehead products in the homotopy groups of polyhedral products Categorical aspects of toric topology

Reference 25

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:d38e1c3d46b1bc3ef5a270c29e6f11c09e1a74aa42b511242b24e9a2c3748474

Observation f9cdcf75-0ab1-4389-a1bc-0638972732e8 · outbound

This paper cites The homotopy theory of polyhedral products associated with flag complexes.

Iterated Whitehead products in the homotopy groups of polyhedral products The homotopy theory of polyhedral products associated with flag complexes

Reference 26

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:c6f815c5a18655dc2ec37ef4ec7ea7ec51ea2543ae955be55ea62b650d1e5aaa

Observation efd3bbcc-8b16-492c-9ef7-c03d5a478623 · outbound

This paper cites Some examples of homotopy -algebras.

Iterated Whitehead products in the homotopy groups of polyhedral products Some examples of homotopy -algebras

Reference 27

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:167ba7cae74f84acd4b685b418c3314fd3c48a8d41cdad248b4b531c411efb90

Observation 9d1db9df-1a2d-4da8-95f7-58f1b7bcf820 · outbound

This paper cites The homotopy groups of wedges of suspensions, Amer.

Iterated Whitehead products in the homotopy groups of polyhedral products The homotopy groups of wedges of suspensions, Amer

Reference 28

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:823baccb35487726d3c8fcc4412ed74ac4601bcfcba2077ba60d5f76002a998f

Observation 44a29435-2896-4600-a4ca-1f244ef2040f · outbound

This paper cites Loop space decompositions of moment-angle complexes associated to flag complexes.

Iterated Whitehead products in the homotopy groups of polyhedral products Loop space decompositions of moment-angle complexes associated to flag complexes

Reference 29

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:51ba99a214c3f9a74769befd222dfad00b1bfaaa23c517a3eba101b568df6d7e

Observation 625dbfb7-c7da-46bd-82f3-99f88d297dbb · outbound

This paper cites Polyhedral products associated to pseudomanifolds.

Iterated Whitehead products in the homotopy groups of polyhedral products Polyhedral products associated to pseudomanifolds

Reference 30

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:d54e683d3c44128a155e0c4e6b12b8ddadbc0924fb19ee290d64f02c4ac3f9fa

Observation e3e902f4-9db3-4f2c-ab0a-00b316bc4685 · outbound

This paper cites Loop spaces of n -dimensional Poincar\'e duality complexes whose (n-1) -skeleton is a co-H-space.

Iterated Whitehead products in the homotopy groups of polyhedral products Loop spaces of n -dimensional Poincar\'e duality complexes whose (n-1) -skeleton is a co-H-space

Reference 31

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:ea1d0c7418026dad313b9f1e3d385bdd7f5255c06610a6dfff1f694171736a28

Observation bf04378d-eea6-4fe5-9682-e43f58dd685c · outbound

This paper cites Anick's conjecture for polyhedral products.

Iterated Whitehead products in the homotopy groups of polyhedral products Anick's conjecture for polyhedral products

Reference 32

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:d3d18d5b358a974d28ae37a56ccd8d12a893917f6c8e925d96f7573f27a0c37c

Observation e8509be2-a4ed-435b-b6b0-ccdbdca9be04 · outbound

This paper cites The dual polyhedral product, cocategory and nilpotence.

Iterated Whitehead products in the homotopy groups of polyhedral products The dual polyhedral product, cocategory and nilpotence

Reference 33

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:ffc4aed96231397a23d8141e70b8bce6b46ded293a844898adae7eb0f85188e4

Observation fe0d65e1-d061-4ed1-9581-278b5cd3d7fb · outbound

This paper cites Homotopy fibrations with a section after looping.

Iterated Whitehead products in the homotopy groups of polyhedral products Homotopy fibrations with a section after looping

Reference 34

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:e4ccd62cb61802f14e872915870dd7796744666e13ad3b15e917ecb12e291c18

Observation c88e2bb9-e84e-4337-9296-740d9019c141 · outbound

This paper cites Composition Methods in Homotopy Groups of Spheres.

Iterated Whitehead products in the homotopy groups of polyhedral products Composition Methods in Homotopy Groups of Spheres

Reference 35

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:0d976973a7e2fecce18f01133fc11f6a432e0e7408c8a66aab34cab05d10ca59

Observation a3c16671-99fe-43c6-812e-b1cbf687e1fc · outbound

This paper cites The associated Lie algebra of a right-angled Coxeter group (Russian).

Iterated Whitehead products in the homotopy groups of polyhedral products The associated Lie algebra of a right-angled Coxeter group (Russian)

Reference 36

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:4cc698ea233e1eacf1d12e1aaea8465dbb649dba28429634af6e326038530dd0

Observation a0dfdfe0-84ed-4c13-b153-13291b62da4e · outbound

This paper cites Pontryagin algebras and the LS-category of moment-angle complexes in the flag case (Russian).

Iterated Whitehead products in the homotopy groups of polyhedral products Pontryagin algebras and the LS-category of moment-angle complexes in the flag case (Russian)

Reference 37

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:70462a0a2152095dbf90f50e93627e1ad94b753869a6fe7c0baaafd64006b3e6

Observation bbe246e9-61cd-4845-8dc9-f1e41c735fba · outbound

This paper cites Loop homology of moment-angle complexes in the flag case.

Iterated Whitehead products in the homotopy groups of polyhedral products Loop homology of moment-angle complexes in the flag case

Reference 38

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:3cd742cb80a2d011fd4d68201cc1e8bd01d2b4204d626180f51ac6ec7974aec9

Observation 185ea622-8bbe-4691-990f-e5c2a757c2c2 · outbound

This paper cites The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group.

Iterated Whitehead products in the homotopy groups of polyhedral products The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group

Reference 39

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:cad546df1c6103f11dd1ec091611d1a989fce3b878bdb977208c2ce57efb0118

Observation 7bf61546-2f54-444d-9be6-6723ce4f58da · outbound

This paper cites Elements of Homotopy Theory.

Iterated Whitehead products in the homotopy groups of polyhedral products Elements of Homotopy Theory

Reference 40

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source=arxiv_source observed=2026-06-27T05:15:10.476850Z digest=sha256:b952fb8b52e1c65e95f1ba951d00c47475748eaea22d02eac8727fe6ef52c276

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