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Paper Citation Record · LEDGER

An inductive method for $\mathrm{OI}$-modules

As of 23 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1909.01261.

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

pith.paper-citation-record.v1
1909.01261 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:33:37.902901Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

19 of 19 outbound references displayed

  • verified exact10
  • verified fuzzy1
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 33a3321e-9af8-4cbe-8578-8be75433b965 · outbound

This paper cites Homology of FI-modules.

An inductive method for $\mathrm{OI}$-modules Homology of FI-modules

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.319958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.319958Z digest=sha256:e39721723d392e1241cd2ca3949f491bbaf170b1e30bfc9f41158153ab3d068d

Observation 336a0344-6035-4205-98bc-24d4f21cd5f1 · outbound

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

An inductive method for $\mathrm{OI}$-modules FI- modules and stability for representations of symmetric groups

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:33:38.456984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.377932Z digest=sha256:6ff18177a1e22651218b0614252eaa3bb16d49f23194c488a4b4abb98db172f3

Observation 0d9bef45-3304-4b25-8830-de78e28e2a04 · outbound

This paper cites FI-modules over Noetherian rings.

An inductive method for $\mathrm{OI}$-modules FI-modules over Noetherian rings

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.408465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.408465Z digest=sha256:a9d03a1f3706f44364a031c58baecd476c9e08c352ac5d517b480ff3a13b636d

Observation 81daec83-56ff-4f90-9a09-db3e0c4ebe94 · outbound

This paper cites Representation theory and homological stability.

An inductive method for $\mathrm{OI}$-modules Representation theory and homological stability

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.465064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.465064Z digest=sha256:a64ed3d7f0a6b640275f9478225980a89998c3fe6386c62e36e4742e45d8e591

Observation 3775e33d-421d-46d8-9a4e-52890276255e · outbound

This paper cites Linear and quadratic ranges in representation stability.

An inductive method for $\mathrm{OI}$-modules Linear and quadratic ranges in representation stability

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.423190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.482399Z digest=sha256:305e0aea9773539f5d2d3fa1a2bfea9990f2c925eee0a826bb53c509115c7e97

Observation f71baef0-9a9e-47d4-8de6-093996a099a8 · outbound

This paper cites A long exact sequence for homology of FI-modules.

An inductive method for $\mathrm{OI}$-modules A long exact sequence for homology of FI-modules

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.412033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.487635Z digest=sha256:a0cfb932d6cdad99b71da0b7c2355fdc82a2ad90a6fd73e06bb3e7fe8be76de7

Observation 384e3a3a-73c5-471a-bf46-31aafe29cfb1 · outbound

This paper cites An inductive machinery for representations of categories with shift functors.

An inductive method for $\mathrm{OI}$-modules An inductive machinery for representations of categories with shift functors

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.400517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.491778Z digest=sha256:375ad6e643188f8bc91429b28440d210a335aef4042ab9a69b9d31c47d20b526

Observation 16d1c4d4-b9d4-45e6-9004-f1e1fd951f63 · outbound

This paper cites Asymptotic behavior of repre sentations of graded categories with inductive functors.

An inductive method for $\mathrm{OI}$-modules Asymptotic behavior of repre sentations of graded categories with inductive functors

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-14T05:33:38.387848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.495702Z digest=sha256:c01845f3c8660fc0a4052abd86cb8c0d8377c539bcb8f82c886a382736b34629

Observation 24f8d115-d4bb-44b5-8de1-b7022746503e · outbound

This paper cites Spectroscopy and Biosensing with Optically Resonant Dielectric Nanostructures.

An inductive method for $\mathrm{OI}$-modules Spectroscopy and Biosensing with Optically Resonant Dielectric Nanostructures

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T05:33:38.330352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.499642Z digest=sha256:b1e7978f47e20b3f3a3fe2bf15d1038b7f0823160cad1c3fd08d5547f3adfa5b

Observation aeb2f91b-9656-45b2-8808-fba752203710 · outbound

This paper cites The representat ion theory of the increasing monoid.

An inductive method for $\mathrm{OI}$-modules The representat ion theory of the increasing monoid

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.553610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.553610Z digest=sha256:3a6ccbca49d7d5368643292a01def70c14202bf0826aacc485d604ed9d1cacdd

Observation a8a8dbda-6b7b-4b26-8092-b9f3e601dcc8 · outbound

This paper cites Upper bounds of homological invariants of $FI_G$-modules.

An inductive method for $\mathrm{OI}$-modules Upper bounds of homological invariants of $FI_G$-modules

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.241394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.668377Z digest=sha256:5649c86c484c37c3574cada5a5ab93a2fd2f6010eb29824ea6bc332c5b99c48a

Observation b090cda5-11e6-4c76-ae9e-c0458e312456 · outbound

This paper cites Depth and the Local Cohomology of FI_G-modules.

An inductive method for $\mathrm{OI}$-modules Depth and the Local Cohomology of FI_G-modules

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.226806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.767451Z digest=sha256:edec3e854cd5a4c13771585289269526ab2e663c9edf64149c1388f2294c303e

Observation dd5cf6b7-f0fd-4b78-baad-55b7b4f1743e · outbound

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

An inductive method for $\mathrm{OI}$-modules Filtrations and Homological degrees of FI-modules

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.790015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.790015Z digest=sha256:ec39a82aecff89c82facf702a40b35bbef7b37cc936a4f1a56bc071c0cbaa897

Observation 0f937ba2-1def-4f41-941d-106dd713cb36 · outbound

This paper cites FI-hyperhomology and ordered configuration spaces.

An inductive method for $\mathrm{OI}$-modules FI-hyperhomology and ordered configuration spaces

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.144999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.819380Z digest=sha256:d01d9b31579f5da4ed35b94d6efb0c9196dd41d3b221eef2e4280ac8105605fc

Observation 4dfd2d34-e3b5-4850-b56e-7709939d879e · outbound

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

An inductive method for $\mathrm{OI}$-modules $\mathrm{VI}$ modules in non-describing characteristic, Part I

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.822840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.822840Z digest=sha256:e9bcdb9dae8f2fdb0672a164f25f3c6ec86157f65cc6816f6d2d47f8025b729b

Observation dc34f8d1-8188-46c4-8f38-9efc8e55da7a · outbound

This paper cites Periodicity in the cohomology of symmetric groups via divided powers.

An inductive method for $\mathrm{OI}$-modules Periodicity in the cohomology of symmetric groups via divided powers

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.055191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.826644Z digest=sha256:0efa58e69b11a7fa11abcd352dbdcfc308835fee9f9fd10b6fbcb16377868165

Observation 2a7b344f-a9c0-4c56-b6ff-8f0caf66ea7a · outbound

This paper cites Stability in the homology of unipotent groups.

An inductive method for $\mathrm{OI}$-modules Stability in the homology of unipotent groups

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.037882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.831359Z digest=sha256:af49ae5bf672246f0e9e53e0d34bf3bf0643d1a4126904c3711f24a8b216485e

Observation 38a959aa-c9fb-480a-a7a4-4f9f7917e2f5 · outbound

This paper cites Homological Invariants of FI-modules and FI_G-modules.

An inductive method for $\mathrm{OI}$-modules Homological Invariants of FI-modules and FI_G-modules

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:33:38.019406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T05:33:37.835144Z digest=sha256:525625005336d6b099abea8dda04b930038e42bde333d10fe7a6644cfb7faa6a

Observation ef067a3e-87e1-45cb-993f-f2356746d50a · outbound

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

An inductive method for $\mathrm{OI}$-modules Gr\"obner methods for representations of combinatorial categories

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T05:33:37.902901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:33:37.902901Z digest=sha256:8daf55ec0fcdbccda839cb4f8b549d4df274850df590d320d78f14c6d2471ad6

Pith citing papers

No inbound Pith citation observations are available.