Paper Citation Record · LEDGER

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer

As of 12 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2509.09455.

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

pith.paper-citation-record.v1
2509.09455 v11

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:09:48.335791Z

measured 42 of 42 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:50:42.829848Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

verified exact1
verified fuzzy0
unresolved40
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ef4b91b-3382-4a28-af3f-7a2bde266319 · outbound

This paper cites Boardman,Modular representations on the homology of power of real projective space, in Algebraic Topology: Oaxtepec 1991, ed.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Boardman,Modular representations on the homology of power of real projective space, in Algebraic Topology: Oaxtepec 1991, ed

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:47.396730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ce05d08-0de1-4c38-8fba-77fd1f448c8c · outbound

This paper cites Bruner,The cohomology of the mod 2 Steenrod algebra: A computer calculation, WSU Research Report 37 (1997), available online athttp://www.rrb.wayne.edu/papers/cohom.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Bruner,The cohomology of the mod 2 Steenrod algebra: A computer calculation, WSU Research Report 37 (1997), available online athttp://www.rrb.wayne.edu/papers/cohom

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:47.498113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0c2670d-b597-49f2-87de-dbb757af0f5b · outbound

This paper cites Bruner, L.M.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Bruner, L.M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:47.647985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73070ff5-8de0-4118-af10-c98df0c41184 · outbound

This paper cites Chen,Determination ofExt 5,∗ A (Z/2,Z/2), Topology Appl.158(2011), 660-689.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Chen,Determination ofExt 5,∗ A (Z/2,Z/2), Topology Appl.158(2011), 660-689

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:47.803456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7ffcdf9-ec7f-4d2a-8e62-a0c9b47296c9 · outbound

This paper cites Chen,The structure of decomposable elements inExt6,∗ A (Z/2,Z/2),Preprint (2012), 35 pages.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Chen,The structure of decomposable elements inExt6,∗ A (Z/2,Z/2),Preprint (2012), 35 pages

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:47.942571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec509b76-0d54-4342-a554-570a32e3e426 · outbound

This paper cites Chen,Indecomposable elements inExt6,∗ A (Z/2,Z/2),Preprint (2013), 3 pages.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Chen,Indecomposable elements inExt6,∗ A (Z/2,Z/2),Preprint (2013), 3 pages

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.106723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc70f05d-27a2-4c7b-9994-d13a20547deb · outbound

This paper cites Math.136(1996), 143-154.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Math.136(1996), 143-154

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.182335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 703d7b26-9249-46fc-ad1e-fcbf09ad492a · outbound

This paper cites Janfada,A criterion for a monomial inP(3)to be hit, Math.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Janfada,A criterion for a monomial inP(3)to be hit, Math

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.186998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1852e565-8b38-4e32-8314-07679c740d1f · outbound

This paper cites Hà,Sub-Hopf algebras of the Steenrod algebra and the Singer transfer, Geom.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Hà,Sub-Hopf algebras of the Steenrod algebra and the Singer transfer, Geom

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.191764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bca034c1-1e41-481e-90e2-7958a88be528 · outbound

This paper cites Hưng,The cohomology of the Steenrod algebra and representations of the general linear groups,Trans.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Hưng,The cohomology of the Steenrod algebra and representations of the general linear groups,Trans

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.196043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eb73377-8dc9-4554-8281-784b3f12ba58 · outbound

This paper cites Hưng and V.T.N.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Hưng and V.T.N

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.200786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e74f4e2-0219-4501-8f87-f84add104e39 · outbound

This paper cites Hưng,Images of the Singer transfers and their possibility to be injective, J.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Hưng,Images of the Singer transfers and their possibility to be injective, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.205358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 631ceb8b-de2a-4cf2-a42c-ca63886e43a5 · outbound

This paper cites Kameko,Products of projective spaces as Steenrod modules, PhD.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Kameko,Products of projective spaces as Steenrod modules, PhD

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.210055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 038e909a-d12e-474e-a069-fdd82ffd91b6 · outbound

This paper cites Lin,Ext 4,∗ A (Z/2,Z/2)andExt 5,∗ A (Z/2,Z/2), Topology.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Lin,Ext 4,∗ A (Z/2,Z/2)andExt 5,∗ A (Z/2,Z/2), Topology

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.214559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46c2e994-6be3-4c73-b138-582b29e22487 · outbound

This paper cites Lin,Charts of the cohomology of the mod 2 Steenrod algebra, Preprint (2023), 2276 pages, available online athttps://doi.org/10.5281/zenodo.7786290.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Lin,Charts of the cohomology of the mod 2 Steenrod algebra, Preprint (2023), 2276 pages, available online athttps://doi.org/10.5281/zenodo.7786290

Reference 15

Resolution: verified exact; doi, observed 2026-08-04T19:13:29.399302Z

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 1bbdbc58-28c6-4d5d-b729-81ad50c81025 · outbound

This paper cites Noncommutative Gr\"obner Bases and Ext groups; Application to the Steenrod Algebra.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Noncommutative Gr\"obner Bases and Ext groups; Application to the Steenrod Algebra

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.223433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04af01a4-2b2e-4a8f-86bc-6fc3de62496f · outbound

This paper cites Minami,The iterated transfer analogue of the new doomsday conjecture, Trans.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Minami,The iterated transfer analogue of the new doomsday conjecture, Trans

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.228543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db13f214-a4a1-4453-ad24-a137afa11579 · outbound

This paper cites Mothebe,Dimensions of subspaces of the polynomial algebraF2[x1,...,x n]generated by spikes II, Far East J.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Mothebe,Dimensions of subspaces of the polynomial algebraF2[x1,...,x n]generated by spikes II, Far East J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.233028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5cfeca3-a98b-4a66-bc66-8b06e5461678 · outbound

This paper cites Nam,Transfert algébrique et action du groupe linéaire sur les puissances divisées modulo 2, Ann.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Nam,Transfert algébrique et action du groupe linéaire sur les puissances divisées modulo 2, Ann

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.237531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5a317b7-2881-4c83-853a-d7c2970db9e9 · outbound

This paper cites Palmieri,Quillen stratification for the Steenrod algebra, Ann.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Palmieri,Quillen stratification for the Steenrod algebra, Ann

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.242021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e7f43bc-3c1c-4d62-952a-ad5f66aa50f3 · outbound

This paper cites an unresolved cited work.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.246415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff15a046-1023-4acd-b698-c2b544c158cf · outbound

This paper cites Phúc and N.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc and N

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.251057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f428458-8ac9-47ae-9cd5-89d17b23490f · outbound

This paper cites Phúc and N.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc and N

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.255302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2651cb1-7cd2-4deb-bc17-ad14453ef1e1 · outbound

This paper cites Phúc,The affirmative answer to Singer’s conjecture on the algebraic transfer of rank four, Corrected version (2025), 25 pages.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc,The affirmative answer to Singer’s conjecture on the algebraic transfer of rank four, Corrected version (2025), 25 pages

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.259517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3c6b2bf-e7da-422b-83cf-cb9d4c699c03 · outbound

This paper cites Phúc,On Singer’s conjecture for the fourth algebraic transfer in certain generic degrees, Corrected version (2025), 32 pages.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc,On Singer’s conjecture for the fourth algebraic transfer in certain generic degrees, Corrected version (2025), 32 pages

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.263756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b69838c5-7c8b-4cc7-992f-6f7bbdeafa5d · outbound

This paper cites Phúc,On the algebraic transfers of ranks 4 and 6 at generic degrees, Corrected ver- sion (2025), 34 pages.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc,On the algebraic transfers of ranks 4 and 6 at generic degrees, Corrected ver- sion (2025), 34 pages

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.268115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7874915c-f752-4c33-8a0f-b2d4babc9eda · outbound

This paper cites Phúc,A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer, J.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc,A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer, J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.272404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf481520-324c-4abf-a5ec-9a7b21d7f623 · outbound

This paper cites an unresolved cited work.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.276854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5578e300-e369-4597-bd69-502fa96d8a71 · outbound

This paper cites Computing Invariant Spaces via Global Cluster Analysis and Representation Theory.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Computing Invariant Spaces via Global Cluster Analysis and Representation Theory

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.281448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b5e1179-b942-4819-95d1-9c474b2b8b5c · outbound

This paper cites A matrix criterion and algorithmic approach for the Peterson hit problem: Part I.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer A matrix criterion and algorithmic approach for the Peterson hit problem: Part I

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.286391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7ef9432-1596-4962-b41e-14567d5f9533 · outbound

This paper cites Computational Approaches to the Singer Transfer: Preimages in the Lambda Algebra and $G_k$-Invariant Theory.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Computational Approaches to the Singer Transfer: Preimages in the Lambda Algebra and $G_k$-Invariant Theory

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.291527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 894c3dbc-e3b9-4017-a399-83f44d366bc4 · outbound

This paper cites Phúc,Bounds on the Dimension of the Peterson Hit Problem via Graph Theory and Combinatorics, Preprint (2025), Submitted for publication.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Phúc,Bounds on the Dimension of the Peterson Hit Problem via Graph Theory and Combinatorics, Preprint (2025), Submitted for publication

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.295907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 026a726d-44f6-4153-9b57-de2ea95fbb57 · outbound

This paper cites Singer,The transfer in homological algebra, Math.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Singer,The transfer in homological algebra, Math

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.300440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03ec6835-e324-43a2-92dc-b7499038e6f7 · outbound

This paper cites The hit problem for the polynomial algebra of four variables.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer The hit problem for the polynomial algebra of four variables

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.304747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ffe2b578-0f86-44dc-8874-3d74b7551c7b · outbound

This paper cites The squaring operartion and the Singer algebraic transfer.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer The squaring operartion and the Singer algebraic transfer

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.309569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed75fc42-6bc7-4aef-968b-1d5a7cbaa583 · outbound

This paper cites A counter-example to Singer's conjecture for the algebraic transfer.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer A counter-example to Singer's conjecture for the algebraic transfer

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.314735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91b475e5-37e0-46c6-b1bc-4e22168a8c06 · outbound

This paper cites Tin,The hit problem for the polynomial algebra in five variables and applications, PhD.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Tin,The hit problem for the polynomial algebra in five variables and applications, PhD

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.318907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cf3a2d7-e7c8-451d-a624-44ba4ec1a6df · outbound

This paper cites Walker and R.M.W.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Walker and R.M.W

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.322757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2010449-5635-42ed-827b-08240bcfaf81 · outbound

This paper cites Walker and R.M.W.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Walker and R.M.W

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.326858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15fc7d0a-1faa-48b8-811c-3461d5ae440b · outbound

This paper cites Wood,Steenrod squares of polynomials and the Peterson conjecture, Math.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Wood,Steenrod squares of polynomials and the Peterson conjecture, Math

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.331507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b59d0be-0fda-4347-ae48-65fef8944be2 · outbound

This paper cites an unresolved cited work.

Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T19:09:48.335791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a0d62efc-1920-4140-b0ee-690787921e95 · inbound

Local Parity and Systematic Peterson Counterexamples in the Motivic Hit Problem cites this paper.

Local Parity and Systematic Peterson Counterexamples in the Motivic Hit Problem Geometric realization via unoriented bordism and a counterexample to Singer's conjecture for the sixth algebraic transfer

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T07:50:42.829848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.