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Paper Citation Record · LEDGER

On the ascent of almost and quasi-atomicity to monoid semidomains

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 2 inbound Pith citation observations for arXiv:2501.04990.

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

pith.paper-citation-record.v1
2501.04990 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:34:00.728056Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:30:45.115254Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:30:07.618503Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fbf56b26-c173-4ad1-a367-95c1ca716b1e · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:01.036653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.630241Z digest=sha256:d9208a23a0862f102a82b7a4d8e4cabb5c6e6eb94b63ead2820ae7f0d93cd798

Observation 5153bbfc-a901-4ffd-b957-dab26910e886 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:01.028048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.634611Z digest=sha256:b4dd640d78a71c5025b54544997c4384b57970c857035e855351f6d78050faa8

Observation dcf6a1e4-08f9-4cdb-b00f-ea2522143603 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:01.019171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.638319Z digest=sha256:ba09a1bf3f2ee1fbe2a102a494af69a42afbe4351471368eac79007ed8a24679

Observation f5395701-8641-4332-87bc-eecdbf888e95 · outbound

This paper cites Boynton and J.

On the ascent of almost and quasi-atomicity to monoid semidomains Boynton and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:01.009935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.641736Z digest=sha256:a9dc04ee478aec0b6bee79819cb5ab45c6e87cc1aefda4311d1a58ba085c1f20

Observation 79c052d5-cde3-4783-9ec0-048a85f0dda5 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:01.000579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.645158Z digest=sha256:83afffce4ee7d60d96645590225a7b45cba7aafabd7194458f2770438729d4b7

Observation 6c2b04ba-61e7-464c-a366-b506a600bd1b · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-10T21:34:00.757279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.648398Z digest=sha256:05e1bc88b5704d31b2fadf7e0d2835351a724939970efef190eb072aef2cb744

Observation d0e4db41-6a21-45a1-8e3d-a36fd61237ef · outbound

This paper cites Chouinard, Krull semigroups and divisor class groups , Canad.

On the ascent of almost and quasi-atomicity to monoid semidomains Chouinard, Krull semigroups and divisor class groups , Canad

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.992195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.651811Z digest=sha256:7ea36d2c8a17312cdab54430c6f13726afbf2d46c92ac936cd6ded5519a70d6e

Observation 287eb995-d062-48c1-bb0f-b5e724c14b86 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:00.983426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.654949Z digest=sha256:30fd2063099dc8159dd2e068f0bee71c27f3aad493724c754a7a496f5222e93d

Observation 682858c3-1c2c-43c7-80af-62d8f4ca991e · outbound

This paper cites Coykendall and F.

On the ascent of almost and quasi-atomicity to monoid semidomains Coykendall and F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.974786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.658007Z digest=sha256:1c3b7feade4c3e23d64f5569db964b52deae00f6c2e5e3584feade4daf76f19a

Observation 8d3f2220-34ef-4859-ba64-55db7c8ec4a2 · outbound

This paper cites Coykendall and F.

On the ascent of almost and quasi-atomicity to monoid semidomains Coykendall and F

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.966071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.661054Z digest=sha256:87f78edbb782b9495f3c4028f0f41ecfa3074401b36b3d42614d4beb650813ea

Observation c489002b-4fc3-44f4-b7be-f3e027f64237 · outbound

This paper cites Coykendall, F.

On the ascent of almost and quasi-atomicity to monoid semidomains Coykendall, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.957353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.663933Z digest=sha256:1c7170ab57693e839b95f9c5c487c131104e2e256f78d0a275926ad4a9b7c412

Observation 7e307a41-df90-4dce-948e-994d739b3fd0 · outbound

This paper cites Fuchs, Infinite Abelian Groups I , Academic Press, 1970.

On the ascent of almost and quasi-atomicity to monoid semidomains Fuchs, Infinite Abelian Groups I , Academic Press, 1970

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.948749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.666920Z digest=sha256:7b1094e8e2048571221754d5ede3339222abfcd8580da7f250015949c12dc7f5

Observation cf32f482-8071-4419-9132-76171a8f8e44 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:00.940020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.669849Z digest=sha256:a72c10fd40091058bdf4f35e49ccd94ce92f150a171ed59d2bff8f4f6d754fbe

Observation 1339afbb-9ea8-459c-9f23-67e53cf25eab · outbound

This paper cites On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set.

On the ascent of almost and quasi-atomicity to monoid semidomains On monoid algebras having every nonempty subset of $\mathbb{N}_{\ge 2}$ as a length set

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T21:34:00.672952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:34:00.672952Z digest=sha256:49441f6750f21ecd945795b552ecc021a26a255828aea5b14a0dbb9daceb3217

Observation d0e1f761-1b5e-49e6-b853-d271e9ca5859 · outbound

This paper cites Geroldinger and Q.

On the ascent of almost and quasi-atomicity to monoid semidomains Geroldinger and Q

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.931674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.676339Z digest=sha256:bd9ddea8b2dfe9c15965eeab00a01f53ea1550e3da0441cc66772385f61f2f4f

Observation f3ea491a-cf4f-42ad-886b-074ff3ca7704 · outbound

This paper cites Gilmer, Commutative Semigroup Rings , The University of Chicago Press, 1984.

On the ascent of almost and quasi-atomicity to monoid semidomains Gilmer, Commutative Semigroup Rings , The University of Chicago Press, 1984

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.923264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.679357Z digest=sha256:664564f845e3c1e65a8fc07f9f2f015704115624cd437a913fe75d2a23e1c263

Observation 1843c686-8d0c-489d-8b0f-4b27e6c97563 · outbound

This paper cites Gilmer and T.

On the ascent of almost and quasi-atomicity to monoid semidomains Gilmer and T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.914209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.682617Z digest=sha256:3e08d5b012b0ea1d04dce6313d77008d2fe8ab791314d4b85e2e409c14b2ed38

Observation b1ba9ac4-eef1-4a7e-a45d-3f9a023ac1b6 · outbound

This paper cites Gotti, Increasing positive monoids of ordered fields are FF-monoid s, J.

On the ascent of almost and quasi-atomicity to monoid semidomains Gotti, Increasing positive monoids of ordered fields are FF-monoid s, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.905419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.685690Z digest=sha256:5c30fb0620e08efa78742c4536b5549cf6cda56b6363596223bb86d68694aa33

Observation 5efc2f87-594f-4102-9506-821114e01c38 · outbound

This paper cites Gotti and B.

On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.896361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.688768Z digest=sha256:77aa147bd398f3cd1439cd1eb4581dcdafae932ad1829db347204d8a838fa708

Observation f209945f-97df-438a-a7c2-e3bb47e54687 · outbound

This paper cites Gotti and H.

On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and H

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.886889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.691643Z digest=sha256:37fabf994388f3971004010cc7600d061ff49f67d5107ef6e5f7afb4237d481f

Observation daf94dec-be6d-4095-9de4-6f95cfe2f40a · outbound

This paper cites Gotti and H.

On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.878367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.694731Z digest=sha256:9e8612e2a0534521bbe15c6f688ebef355d2487a12fcde851d2e3feb357fedee

Observation 33ac1b7b-df10-4801-9188-146f62465d22 · outbound

This paper cites Gotti and H.

On the ascent of almost and quasi-atomicity to monoid semidomains Gotti and H

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.870000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.697592Z digest=sha256:825d84bc92d853b206fab4541100e3cf3beed00f945e828f710a9b70cb2e8028

Observation a16f803b-0d18-4031-9bfc-a112271b25e7 · outbound

This paper cites Grams, Atomic rings and the ascending chain condition for principa l ideals , Math.

On the ascent of almost and quasi-atomicity to monoid semidomains Grams, Atomic rings and the ascending chain condition for principa l ideals , Math

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.861586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.700510Z digest=sha256:3d1277689f667989f1b6929900f628f445ee173c13d3f0732b5106aaeffebe9e

Observation 5998ef2a-8842-4064-ad60-990d052ad389 · outbound

This paper cites Hilbert, ¨Uber die Theorie der algebraischen Formen , Mathematische Annalen 36 (1890) 473–534.

On the ascent of almost and quasi-atomicity to monoid semidomains Hilbert, ¨Uber die Theorie der algebraischen Formen , Mathematische Annalen 36 (1890) 473–534

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.852638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.703418Z digest=sha256:7df274b05d18e763d9a306a8b7f14b76d1044ce778ed5505124cf7c10a2a3730

Observation 5e32f9e2-9231-44db-ade7-04694bc6f15a · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:00.843841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.706541Z digest=sha256:6301cd6b9fb5e960d58d4f2d748c50b8fca1cb655f4a7f05e53fefa4fca1c32d

Observation 85fdcd5d-9b74-4c4a-8baf-2015ddb500b3 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:00.835275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.709503Z digest=sha256:8cc1a129af60c7c18905da582ec2a06dec81298ae38b69ce3f1003f791f74043

Observation 33fb628d-c243-404c-b9b7-67097e18b645 · outbound

This paper cites Lebowitz-Lockard, On domains with properties weaker than atomicity , Comm.

On the ascent of almost and quasi-atomicity to monoid semidomains Lebowitz-Lockard, On domains with properties weaker than atomicity , Comm

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.825936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.712537Z digest=sha256:c0f6b17358696455900de8363d546d175cae118e2c8e0d9c25a9d41fd60c35c9

Observation 97564c6c-8219-4bd3-befd-a5f04ccc5e2e · outbound

This paper cites Lidl and H.

On the ascent of almost and quasi-atomicity to monoid semidomains Lidl and H

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.815237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.715487Z digest=sha256:0611e082a92b5543261f1aea85d52a625ee0b3f8f9435d7779ea910f9394e1a7

Observation 1bcc5b70-0c5c-4abb-a1dd-586285a34022 · outbound

This paper cites an unresolved cited work.

On the ascent of almost and quasi-atomicity to monoid semidomains Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:00.805524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.718475Z digest=sha256:5a64a16d9eaeeee83824ab058762b2a9dcb4b27a5423a07dcb04596b999379a3

Observation aaea4238-1777-4c58-9e18-acc82e31eede · outbound

This paper cites Malcolmson and F.

On the ascent of almost and quasi-atomicity to monoid semidomains Malcolmson and F

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.795639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.721731Z digest=sha256:d417e05b69716ba15fd36e72e1dc668fca447922ad43bdb69f9d729a82c22075

Observation c1da706d-8537-47b5-9422-1e65c63c7f53 · outbound

This paper cites Roitman, On the atomic property for power series rings , J.

On the ascent of almost and quasi-atomicity to monoid semidomains Roitman, On the atomic property for power series rings , J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.785970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.724894Z digest=sha256:231c7727539c9b284505c980e9b4af0fa5e33512ab952240034b4c716fbf68cd

Observation 3342ab76-aea2-4f54-982f-2a0d5b5660c7 · outbound

This paper cites Roitman, Polynomial extensions of atomic domains , J.

On the ascent of almost and quasi-atomicity to monoid semidomains Roitman, Polynomial extensions of atomic domains , J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:00.776682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T21:34:00.728056Z digest=sha256:3dad4dc7a3e0009b3556b9d8d5c415862623fefb5b512db06a513dfd3ab8cf42

Pith citing papers

Observation 0d473e30-7934-4add-b60e-f3afcd686038 · inbound

On near atomicity and a characterization of the FF property cites this paper.

On near atomicity and a characterization of the FF property On the ascent of almost and quasi-atomicity to monoid semidomains

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-07-04T19:30:07.619802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T21:17:27.384336Z digest=sha256:4a6f633e009ddba060c35812a9fa0bd397543e15a7a1f9cdcb0311bf366cbbab

Observation 307b7e1d-b995-45a0-a09a-3502040a8d06 · inbound

(Locally) Associated Subrings in Polynomial and Power Series Extensions cites this paper.

(Locally) Associated Subrings in Polynomial and Power Series Extensions On the ascent of almost and quasi-atomicity to monoid semidomains

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T00:30:45.115254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:30:45.115254Z digest=sha256:5087220a907af14c5a4e79b6a69d2b7fbb72a3d9643058e7eb844198a565b61a