Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:12:56.522295Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:1908.08225.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:12:56.522295Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 17415442-3705-4ca6-b8dd-27fa92f9aa2d · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Araújo and J
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9a168e7f-88f7-4ff3-adcf-53d2b0692c25 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 212d6b22-58ad-4bf1-829f-f08ca5956c35 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c535c84c-68db-4c81-9af1-e9e13ba22657 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Bulman-Fleming
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b79bb640-443b-46ba-a5a1-e7446bc53e28 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Bulman-Fleming and J
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fc4e204c-7f57-465d-b10b-a6b06f201f3c · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 43676969-2de2-458d-b05b-9820862fdc5f · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a6828b1f-bf5d-49aa-ad94-0499731492d2 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Dolinka and J
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dd5b9114-410c-476b-9411-5742a1e4b436 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Dolinka and J
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 708343d7-a804-46d3-a92b-9a52a5156db9 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Dolinka and J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e8115b5-0679-47ca-b3f2-ffc8093d0778 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ab8a07ae-d94d-45f3-89f4-5369a64410e5 · outbound
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 78992659-6627-48a2-99b2-e7fbae2564ca · outbound
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d05cc487-8165-432c-82a9-bf6e3f6a7c2e · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Dolinka and N
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b37f5b96-b25f-4b70-a797-b8619483bb6d · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Droste and R
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a4b8396f-32a0-4af2-830d-4bb3a6f36829 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b8dd4214-0abe-4225-9eed-7f6576a154a1 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 13c710d3-768d-418f-ad9c-b35ab610ed62 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 66b4a79e-4c34-49d0-8a70-a5531104ad3f · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ff266182-5a52-4511-ae05-2f2728f88c3b · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c48d1be4-e0c7-4e8a-8ef1-eac7cc14c753 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 68dd8050-85bd-47da-84d6-36bb30513fd4 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 22cc756a-eff9-4eb8-bfdf-3497b69531e3 · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0cfac4ed-4cf4-47b0-b260-3b11bb2f9d24 · outbound
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 37c96131-2c28-41cf-b56d-3fe41012af3e · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Green's relations and stability for subsemigroups
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7c947c91-cdee-497c-8940-56decd993e70 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7f320281-b45a-4219-bb96-7405f0715057 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Everitt and J
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1fe85e55-8be7-470f-bbc1-cea9f7326706 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Everitt and J
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 74794688-0695-4116-b4f7-c1fdb3c94aea · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fedc7d16-a19f-478c-ae2e-125cf97da6d7 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6fe4dbe5-3346-43d4-a95c-df5afb17a861 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9dabec32-5a01-4b28-b175-d5e9fe0a26e4 · outbound
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ba786a4d-c619-4c11-8344-0b45d9ad67b7 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Fountain and V
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8b044b92-142a-49ef-9f8e-02a92dc78287 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Fountain and A
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 72398700-9683-4132-9f40-3767d567f48b · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Fountain and A
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6dcbf291-32ba-4a1c-ad5b-0969f3a75cad · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f6582d8c-7a3a-48e8-ad64-c286db32fbb9 · outbound
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d247e7fe-79a0-4852-8673-934bdcfc7080 · outbound
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 467a13c8-d444-4808-9eec-84a4ee1f3514 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e45306da-5c77-4a6d-bd4c-896df2e1cec3 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5c5509e8-3069-4e1a-9bf4-0244eb71c1d9 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 79fcb2ac-4a16-4406-864e-499bf940329b · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82c77f83-740b-4ba2-8bd2-8caf1a5eea21 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dbe25940-a336-4c03-a75d-4304eac32e66 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3eb7d2a7-89c1-41f6-8df1-a04b05aa51c3 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a72caf06-cda2-4ab7-ae02-364d2bddbf0e · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84cf598a-6d6c-47d6-bc07-b878bce8b5db · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 70e6f245-b0fe-4435-a723-d3f9825bb1a8 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Joyal and R
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 35b66a4e-c022-4759-a129-2e7ee03b65ac · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Kudryavtseva and V
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e55971f1-01b4-4bee-8341-4575e4bc1b97 · outbound
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df3a37b6-6c40-47d9-8895-f3932e4dae08 · outbound
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc9ad6a4-e5e6-4e0a-9e6e-4808f83b4e39 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Maltcev and V
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dbc8cf3f-f244-4799-9d64-e9d1c603d1b1 · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84542c0f-c08d-49b0-9bc3-38fb4f14a28b · outbound
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fbad5852-ca68-4f14-a978-01562c68718b · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 812b4cd4-43ce-48e3-9790-999832dea1fc · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 475e2856-d5d5-4ece-a447-658f61904acd · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 59ed5e8d-cda6-4db3-93c3-ff737b181499 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8139594b-bdcc-4b3d-986d-b15b9c5bbb4d · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 68d4f625-9112-4585-b5b2-7ebfa76ebbb1 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 44cbb6a4-1d06-4001-92e4-6e8cf7c6069c · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5f50dde2-c377-45bd-aaa4-73cda1193011 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation def38fc3-b92f-4997-8ae8-9212adea218e · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 58c2d474-49cb-4036-9b90-e1f6192f9f35 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Rhodes and B
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 46d3627a-a122-4a0f-8a12-2990b9d51258 · outbound
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e70580a7-6777-4556-ae9c-3f5e15f01845 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 92a80bfb-bfee-4e8a-8c98-cee0f262db23 · outbound
Idempotents and one-sided units: Lattice invariants and a semigroup of functors on the category of monoids Unresolved cited work
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
No inbound Pith citation observations are available.