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Paper Citation Record · LEDGER

On a lattice of relational spaces (reducts) for the order of integers

As of 13 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 2 inbound Pith citation observations for arXiv:2411.18181.

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

pith.paper-citation-record.v1
2411.18181 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:41:02.607428Z

measured 7 of 7 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:54:52.710531Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:45:16.193281Z

Reference resolution

5 of 5 outbound references displayed

  • verified exact3
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 37e7f694-41a7-4dd4-9ce7-b03256ec2694 · outbound

This paper cites Automorphisms and Definability (of Reducts) for Upward Com- plete Structures.

On a lattice of relational spaces (reducts) for the order of integers Automorphisms and Definability (of Reducts) for Upward Com- plete Structures

Reference 1

Resolution
verified exact
doi, observed 2026-08-12T11:41:02.665542Z

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.

source=pdf_text observed=2026-08-12T11:41:02.588919Z digest=sha256:cd24e71d0160a89452b20fced6379e96d1b5971fa9efb172b6faf5fd90acdd24

Observation fdb80de9-d7d8-442f-b044-fe9f0cff6233 · outbound

This paper cites an unresolved cited work.

On a lattice of relational spaces (reducts) for the order of integers Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:41:02.691169Z

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.

source=pdf_text observed=2026-08-12T11:41:02.594626Z digest=sha256:1c5868a53469e7fb2027d1f9553f0bbc3acf9cf58fd83773324a55689cb220f8

Observation 2efcf148-d4fb-409f-be1c-43e805c6d278 · outbound

This paper cites A, Semenov, A.

On a lattice of relational spaces (reducts) for the order of integers A, Semenov, A

Reference 3

Resolution
verified exact
doi, observed 2026-08-12T11:41:02.651840Z

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.

source=pdf_text observed=2026-08-12T11:41:02.599053Z digest=sha256:8203d6612df359ad637315b254fef04decca9788e9a293f1693799ef4dad6cd6

Observation 3c798da6-0215-452f-815f-0ab58883bec0 · outbound

This paper cites L.; Soprunov, S.

On a lattice of relational spaces (reducts) for the order of integers L.; Soprunov, S

Reference 4

Resolution
verified exact
doi, observed 2026-08-12T11:41:02.639169Z

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.

source=pdf_text observed=2026-08-12T11:41:02.603643Z digest=sha256:8aa51207a2584258c057ce2c824082db1260e1250616d627134c3ee0bfe5935b

Observation c9863987-3aa8-43df-963e-6a4f975f366a · outbound

This paper cites Mappings preserving relations definable through linear order.

On a lattice of relational spaces (reducts) for the order of integers Mappings preserving relations definable through linear order

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:41:02.678978Z

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.

source=pdf_text observed=2026-08-12T11:41:02.607428Z digest=sha256:3bbffb107193882e22a513ac79935e3bd6a2b3e54f7aba4ab119ad2da3203f6d

Pith citing papers

Observation eeb1b2eb-f47a-465c-9b53-037a2e2e52ab · inbound

Definable coordinate geometries over fields, part 1: theory cites this paper.

Definable coordinate geometries over fields, part 1: theory On a lattice of relational spaces (reducts) for the order of integers

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T17:54:52.710531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T17:54:52.710531Z digest=sha256:e5aac528f8da117c3ad60015cef8d534719f3c5f1a0cd53aa3e196e42de3463f

Observation 98580a83-09b4-4c15-80bd-4b516dbd095c · inbound

Definable coordinate geometries over fields, part 2: applications cites this paper.

Definable coordinate geometries over fields, part 2: applications On a lattice of relational spaces (reducts) for the order of integers

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:45:16.236348Z

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.

source=arxiv_source observed=2026-08-06T17:45:15.869544Z digest=sha256:60f368c6f7a706feadf1c41ab2c44dcbc476ff3c06ffb685f24417cb676358e9