Paper Citation Record · LEDGER

GL-algebras in positive characteristic III: the divided power algebra

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.00982.

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

pith.paper-citation-record.v1
2608.00982 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:58:32.496259Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

31 of 31 outbound references displayed

verified exact22
verified fuzzy1
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64d79550-f8b6-4fa8-a927-3fe1fba66278 · outbound

This paper cites The geometry of polynomial representations.

GL-algebras in positive characteristic III: the divided power algebra The geometry of polynomial representations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:29.379533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb5cf12d-828a-4950-a52f-f54e85fc0eaa · outbound

This paper cites Uniformity for limits of tensors.

GL-algebras in positive characteristic III: the divided power algebra Uniformity for limits of tensors

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:29.419421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 345d28e9-7ebf-4490-aef8-5308ed4a38ac · outbound

This paper cites The geometry of polynomial representations in positive characteristic.

GL-algebras in positive characteristic III: the divided power algebra The geometry of polynomial representations in positive characteristic

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:38.124663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 581aa9fb-864c-4b19-aa59-a8acc8aa066f · outbound

This paper cites FI-modules and stability for representations of symmetric groups.

GL-algebras in positive characteristic III: the divided power algebra FI-modules and stability for representations of symmetric groups

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:37.924222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c9c68fd0-0deb-4e00-8bc0-9c883854b748 · outbound

This paper cites FI-modules over Noetherian rings.

GL-algebras in positive characteristic III: the divided power algebra FI-modules over Noetherian rings

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T00:58:37.731717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 44a30be3-0c4f-4b5c-89d9-20e45e8360e1 · outbound

This paper cites On the laws of a metabelian variety.

GL-algebras in positive characteristic III: the divided power algebra On the laws of a metabelian variety

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-06T00:58:37.558926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0e16dc33-f59c-4005-8974-8589a5028cdb · outbound

This paper cites Ideals preserved by linear changes of coordinates in positive characteristic.

GL-algebras in positive characteristic III: the divided power algebra Ideals preserved by linear changes of coordinates in positive characteristic

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:58:38.240388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 54c72f04-402d-4ebb-be68-5a43f2cfd43a · outbound

This paper cites On finiteness properties of polynomial functors.

GL-algebras in positive characteristic III: the divided power algebra On finiteness properties of polynomial functors

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:37.288250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 281c424c-f6ca-4e3a-850e-16a554936ee9 · outbound

This paper cites Topological Noetherianity of polynomial functors.

GL-algebras in positive characteristic III: the divided power algebra Topological Noetherianity of polynomial functors

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:30.136349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 023c30e5-96aa-49e6-ae04-b0854bec3307 · outbound

This paper cites Generalizations of Stillman's conjecture via twisted commutative algebras.

GL-algebras in positive characteristic III: the divided power algebra Generalizations of Stillman's conjecture via twisted commutative algebras

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:37.036337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 004d9522-25fc-4d00-9a70-298602182ae9 · outbound

This paper cites GL-algebras in positive characteristic I: the exterior algebra.

GL-algebras in positive characteristic III: the divided power algebra GL-algebras in positive characteristic I: the exterior algebra

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:36.761227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52fdd631-e941-4d5a-ac33-ed6b17531ff0 · outbound

This paper cites Non-noetherian GL-algebras in characteristic two.

GL-algebras in positive characteristic III: the divided power algebra Non-noetherian GL-algebras in characteristic two

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:36.520812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7067f24b-a0f1-482e-a395-c5c3255bea30 · outbound

This paper cites Resolutions of symmetric ideals via stratifications of derived categories.

GL-algebras in positive characteristic III: the divided power algebra Resolutions of symmetric ideals via stratifications of derived categories

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:36.240095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 58842a63-c95a-4d96-bd32-bd6396dbcf3a · outbound

This paper cites G L -algebras in positive characteristic II : the polynomial ring.

GL-algebras in positive characteristic III: the divided power algebra G L -algebras in positive characteristic II : the polynomial ring

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-08-06T00:58:36.033418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b2fd1fbb-1dee-4dac-8908-06086719702f · outbound

This paper cites Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic.

GL-algebras in positive characteristic III: the divided power algebra Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:35.689432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cbaccdfe-f7ae-4f26-951f-773b9097d7b3 · outbound

This paper cites The representation theory of the increasing monoid.

GL-algebras in positive characteristic III: the divided power algebra The representation theory of the increasing monoid

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:35.435491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a0cb88e4-e087-4c8b-a4d5-069036646f4c · outbound

This paper cites Ultrahomogeneous tensor spaces.

GL-algebras in positive characteristic III: the divided power algebra Ultrahomogeneous tensor spaces

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:35.049654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c3e2b57b-a4c0-4f03-8cc0-e2cbde5e3d4e · outbound

This paper cites On the cyclic homology of exact categories.

GL-algebras in positive characteristic III: the divided power algebra On the cyclic homology of exact categories

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-06T00:58:34.732733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f54a4ee1-8540-4ff2-99e5-ce603b3a896d · outbound

This paper cites Localization theory for triangulated categories.

GL-algebras in positive characteristic III: the divided power algebra Localization theory for triangulated categories

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:34.330730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94d9cacd-79c2-43ef-90c6-2da77c5dc5c1 · outbound

This paper cites Codimension and Projective Dimension up to Symmetry.

GL-algebras in positive characteristic III: the divided power algebra Codimension and Projective Dimension up to Symmetry

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:34.182321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9447b462-fb1c-4b9f-a1e1-f432f5403799 · outbound

This paper cites Castelnuovo-Mumford regularity up to symmetry.

GL-algebras in positive characteristic III: the divided power algebra Castelnuovo-Mumford regularity up to symmetry

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:33.905249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53014cbb-8f86-4931-ba69-a8b0e5328a1e · outbound

This paper cites Filtrations and Homological degrees of FI-modules.

GL-algebras in positive characteristic III: the divided power algebra Filtrations and Homological degrees of FI-modules

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:33.755380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d12423f1-5e08-4a88-9811-126aabb782aa · outbound

This paper cites FI-modules and the cohomology of modular representations of symmetric groups.

GL-algebras in positive characteristic III: the divided power algebra FI-modules and the cohomology of modular representations of symmetric groups

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:33.582019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4cba9223-ed76-4d9e-9e59-be621e242d2d · outbound

This paper cites $\mathrm{VI}$ modules in non-describing characteristic, Part I.

GL-algebras in positive characteristic III: the divided power algebra $\mathrm{VI}$ modules in non-describing characteristic, Part I

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:33.399637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8494dce-9510-4232-a531-88e1c3d04ca1 · outbound

This paper cites FI- and OI-modules with varying coefficients.

GL-algebras in positive characteristic III: the divided power algebra FI- and OI-modules with varying coefficients

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:33.256233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 589244ec-7d32-400a-abdd-632a8b43f4df · outbound

This paper cites The module theory of divided power algebras.

GL-algebras in positive characteristic III: the divided power algebra The module theory of divided power algebras

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:33.040272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 57905cbd-63d6-4746-be96-4647f166c4f1 · outbound

This paper cites Symmetric modules over the infinite polynomial ring I: nilpotent quotients.

GL-algebras in positive characteristic III: the divided power algebra Symmetric modules over the infinite polynomial ring I: nilpotent quotients

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:32.005592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2af0729-bcfd-4a2e-9ee6-0984aee1f20a · outbound

This paper cites Introduction to twisted commutative algebras.

GL-algebras in positive characteristic III: the divided power algebra Introduction to twisted commutative algebras

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:32.145246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7960fc2-5d2a-45eb-9252-fb7cd93ddd45 · outbound

This paper cites GL-equivariant modules over polynomial rings in infinitely many variables.

GL-algebras in positive characteristic III: the divided power algebra GL-equivariant modules over polynomial rings in infinitely many variables

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:32.232798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b554caa-82cd-4adb-9ccf-8b9e422748ef · outbound

This paper cites Gr\"obner methods for representations of combinatorial categories.

GL-algebras in positive characteristic III: the divided power algebra Gr\"obner methods for representations of combinatorial categories

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:58:32.793982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 33695c32-15ab-4a66-895d-b7cba0e6a9e0 · outbound

This paper cites GL-equivariant modules over polynomial rings in infinitely many variables. II.

GL-algebras in positive characteristic III: the divided power algebra GL-equivariant modules over polynomial rings in infinitely many variables. II

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T00:58:32.496259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.