Paper Citation Record · LEDGER

Iterated Whitehead products in the homotopy groups of polyhedral products

As of 12 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

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy0
unresolved37
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T02:16:05.564271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:20:35.857047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified exact; local_arxiv, observed 2026-06-27T05:20:35.853696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-06-27T05:15:10.476850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.