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Paper Citation Record · LEDGER

On Divisor Topology of Modules over Domains

As of 7 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.01179.

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

pith.paper-citation-record.v1
2506.01179 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:04:45.703920Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1260e59a-cb61-47c5-bee8-c9219256796b · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:47.798516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.053177Z digest=sha256:f69485b2f509a642745be8ab19d2f9850f62939e4536ad796f889cbb551f1470

Observation 56316cc2-650c-4600-a9be-9aad75ba97bb · outbound

This paper cites D., Arabaci, T., Tekir, ¨U., & Ko¸ c, S.

On Divisor Topology of Modules over Domains D., Arabaci, T., Tekir, ¨U., & Ko¸ c, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:47.631044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.073671Z digest=sha256:bac1ba1c0089855ff2173c4fe0adfc425f237e83774527cbf0a1c15f546240f8

Observation dc34cabd-8b37-4edb-849e-5cff994521e1 · outbound

This paper cites W., & Fuller, K.

On Divisor Topology of Modules over Domains W., & Fuller, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:47.467254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.115115Z digest=sha256:c989384aa531115fda9c80015b24324791ac74ded507b6d2d0ba8d9b2d09b150

Observation 96f8c77b-9b16-4c0f-900c-7d28c16cbaa7 · outbound

This paper cites D., & Winders, M.

On Divisor Topology of Modules over Domains D., & Winders, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:47.277699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.144385Z digest=sha256:3b2ca8653e95b1b6469e48d8bb1340820b02a743814eb03512a62af2cf4ca4b9

Observation 4654af20-00cd-4e06-9b2f-f7bc745eca2f · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:47.150810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.180163Z digest=sha256:c504cce8c20abcabda1d05bd6b3e16a91272e86e97e28865b25da17a8124394e

Observation e63b341f-825e-4599-8ae4-3bf83af1cf43 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:47.053161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.208832Z digest=sha256:6f797de2d6e2a17040d746501ff193f04a1d54b7a2d8ec9b568eefb295b2900c

Observation 936b3146-5263-45e4-9bfe-be8a3f03cd2e · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.957580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.232977Z digest=sha256:3538a0884bd4a8caa8658b954ed988b46a96717ec072449285bc76535ca67cb4

Observation 6f842571-8abe-437f-ac44-40e6b71c689a · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.889503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.259656Z digest=sha256:6629bff20f259ac9eec2bac353bf7cb98ee5ced81379bbd9573050b714690de0

Observation 1dbf8795-b5d4-4997-978c-41361144d11b · outbound

This paper cites (2023, December).

On Divisor Topology of Modules over Domains (2023, December)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:46.834322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.296506Z digest=sha256:58b0bc7d7c072269582c907f232df4b7abbcfe0f7ad8be9f2eb5f9f18356021b

Observation 4e85252b-6ca7-4ab8-bd2f-01b429bb41b3 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.772903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.322569Z digest=sha256:df289a60a0a8d3c11a35f7b0327847e1ce3636aa2053c7572d05d5ef4d67a9db

Observation 5f8a9148-c609-4fd5-b251-e7a5ed730fb6 · outbound

This paper cites A., & Smith, P.

On Divisor Topology of Modules over Domains A., & Smith, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:46.692401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.340057Z digest=sha256:9249c65166cf6586ab8fae029b460bde9ed09c12c5c02eee1940e93d2c674e47

Observation 8335ebbc-2f5d-4966-8e6a-be0944054865 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.637002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.367938Z digest=sha256:a5796930ea7cb7461be7ead3ba54c1812bf3b02bd67b271b0a689e49be6d1212

Observation e4fe0538-5a4d-4830-8228-aeb5d46f6617 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.569997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.395639Z digest=sha256:cd141629ab394b88af4596d7b5b9ec5b71c930c42a3dc251fa3327d38be7348f

Observation 9d97243b-1592-4247-b95f-75ae719da354 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.494135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.421412Z digest=sha256:b1398d618a2e918a0803dd4996b53388b339429e5716986dad8745dc36027735

Observation fe4434da-daef-4d48-aac8-ef1079b13f0b · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.393413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.449205Z digest=sha256:9f7afb7476fab4449395c20576519482127578ce345a96bbfdbe84d963431b8b

Observation 6be7daad-d7ef-424d-b14b-a9d092a9292f · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.336558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.476984Z digest=sha256:a41cd7cd66de1e5b222ca5978736368ebd37ac70f81f5070d9a18f6f38174386

Observation b0c5ecda-145c-4dc2-9d56-d76198d9cd0e · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.269106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.506991Z digest=sha256:ae3df4f7bb98966043f877d30a1cd68b4972124f1d4ab6932d89b47da67bbe63

Observation 66346e6e-d674-47f2-835c-7b700f10b4ed · outbound

This paper cites and Pendleton, R.

On Divisor Topology of Modules over Domains and Pendleton, R

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:46.205856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.530976Z digest=sha256:4d923fa6f02c355217c73ec76330bbce9aff319286127a91d243e23f92ab3187

Observation 1e636529-3dbc-4087-a07f-8162a5e435e6 · outbound

This paper cites A., Tekir, ¨U., & Ko¸ c, S.

On Divisor Topology of Modules over Domains A., Tekir, ¨U., & Ko¸ c, S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:46.164864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.549283Z digest=sha256:e4f300447576dd306dd1b7a490736faa6d1c56bdb9d0b275e9de88038801de63

Observation 517f591a-7131-4c5f-8259-cfda1cc28193 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.103173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.573937Z digest=sha256:b016b08f1b4bc5b9cc320a7363fa5fc3166b5e10f1365751c9e2e82760285a90

Observation bf8365d0-146a-4ce7-8965-ebdfcfccfeef · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:46.044332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.593347Z digest=sha256:5b56d6c726e4d2042590989195bda4ec315ac338bcd23176f3666c3a1e79ca95

Observation e5cb9990-db5d-4c2f-aa00-972673314998 · outbound

This paper cites A., Seebach, J.

On Divisor Topology of Modules over Domains A., Seebach, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:45.974071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.619638Z digest=sha256:f2f83a590c698ca4ea9f0ff42a890e6e5cb1e8e237e58472a9fc32cebf81de32

Observation f172039f-aeb0-4aad-9ab3-99701946bb2e · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:45.906813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.643585Z digest=sha256:b9d6c7d8a1cb52b1ef2ab0762b832f890f8f9a8222dece61bf50ea9a850af589

Observation 9acd38f5-1209-47a1-9049-966daf85f5c2 · outbound

This paper cites A., Tekir, ¨U., & Ko¸ c, S.

On Divisor Topology of Modules over Domains A., Tekir, ¨U., & Ko¸ c, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:04:45.845743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.665188Z digest=sha256:1715cf404d95ad7bcdc215e3c86ad447a0a2fd9652d87a18b164e368dfcb7621

Observation 9f81de78-4330-4de6-94a4-e944df916ed5 · outbound

This paper cites an unresolved cited work.

On Divisor Topology of Modules over Domains Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:04:45.784392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:04:45.703920Z digest=sha256:845d80c9289937edd796abb40204048f794436e88c4a246e0df83fdfaa2794a0

Pith citing papers

No inbound Pith citation observations are available.