Pith. sign in

Paper Citation Record · LEDGER

Classifying the complexity of models of arithmetic

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.12025.

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

pith.paper-citation-record.v1
2507.12025 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:12:08.666238Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

16 of 16 outbound references displayed

  • verified exact3
  • verified fuzzy7
  • unresolved5
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e75600d0-080e-4a39-bb5a-aca9121e38ad · outbound

This paper cites an unresolved cited work.

Classifying the complexity of models of arithmetic Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:12:10.804855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:07.543631Z digest=sha256:2cfa9f567e75806b78d4201b6fa63d53e157af3782aea7d709225d9244b87987

Observation bd9439b3-c570-4210-b85f-b385a19c9611 · outbound

This paper cites Scott complexity of countable structures.

Classifying the complexity of models of arithmetic Scott complexity of countable structures

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:07.579787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:07.579787Z digest=sha256:1400a1ef04b5782b82f3f40cee00b735097f7e81f07acfb549a308c6197de439

Observation 97263114-c090-4d23-9c3b-99b7d5ecb985 · outbound

This paper cites Admissible Sets and Structures.

Classifying the complexity of models of arithmetic Admissible Sets and Structures

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:10.620003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:07.637221Z digest=sha256:6615e99ff60acb7c09f2f90cddadefe4c51813391b5505f5024b6e5f94648954

Observation fef84760-18f0-4f9b-84cc-27f39e7adb30 · outbound

This paper cites Models and Types of Peano’s Arithmetic.

Classifying the complexity of models of arithmetic Models and Types of Peano’s Arithmetic

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:10.435249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:07.700893Z digest=sha256:0b34b19b5386196d5d416a23fc7d32b94b6c22bdd83e424bd813b832c6487467

Observation eae83e92-273a-46e6-a51d-319daec9ad6d · outbound

This paper cites Scott analysis, linear orders and almost periodic functions.

Classifying the complexity of models of arithmetic Scott analysis, linear orders and almost periodic functions

Reference 5

Resolution
verified exact
doi, observed 2026-08-06T17:12:09.242825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:07.770464Z digest=sha256:a6dd95c0cc0340a0b7f9b6057f3604f86dea8b47019595f27d55ae12a0851f28

Observation 849c5a5b-2aef-4f7d-ad0e-7c9cf1d25b07 · outbound

This paper cites Theω-Vaught’s conjecture.

Classifying the complexity of models of arithmetic Theω-Vaught’s conjecture

Reference 6

Resolution
malformed identifier
no resolver link, observed 2026-08-06T17:12:07.844530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:07.844530Z digest=sha256:f6aaec5ccfde4e171f479a4059bd16f67f457f54c19343565d68b797bd69e7bb

Observation 9d65e05c-77c4-476c-9a05-022cd352a73d · outbound

This paper cites Scott Sentence Complexities of Linear Orderings.

Classifying the complexity of models of arithmetic Scott Sentence Complexities of Linear Orderings

Reference 7

Resolution
verified exact
doi, observed 2026-08-06T17:12:09.050006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:07.930114Z digest=sha256:14d6e9cd0dc8a5c940af84a9db8161adee2fab898bc091a7f9eae5d793f2b5ce

Observation 6079e56d-7256-4fda-9134-c8274a8762c1 · outbound

This paper cites Borel functors and infinitary interpretations.

Classifying the complexity of models of arithmetic Borel functors and infinitary interpretations

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T17:12:08.853165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:08.018232Z digest=sha256:c2ca0a7b69f8e80b407126720a1effff5769a9da877718bc99a3598c19ffbe8a

Observation 56efa1de-e5ff-4790-ade4-283f286dfef2 · outbound

This paper cites Finite-quantifier equivalence.

Classifying the complexity of models of arithmetic Finite-quantifier equivalence

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:10.258671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:08.092029Z digest=sha256:52184b016ad0c7542b9de0fa3e50ba7fcb40a11b6f7f78e5ec725cb592acf1f7

Observation 8d5a6637-5087-49c6-b201-69724b813f08 · outbound

This paper cites an unresolved cited work.

Classifying the complexity of models of arithmetic Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:08.213626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:08.213626Z digest=sha256:798572086c38f67f7d2b4a12dc160ff86b722a6a6c456554fa761fa6772fd337

Observation 41b7b309-2757-4fa5-a224-dd2f6e39b4bf · outbound

This paper cites A robuster Scott rank.

Classifying the complexity of models of arithmetic A robuster Scott rank

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:08.281703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:08.281703Z digest=sha256:0012a8d186f8d8f048c432091f6438256d738e16e00beb80a98dbc6498fe57cb

Observation a34fcbd2-3e6f-4eb0-bb47-ef5bd3afeedb · outbound

This paper cites Computable structure theory: Beyond the arithmetic.

Classifying the complexity of models of arithmetic Computable structure theory: Beyond the arithmetic

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:10.081742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:08.371569Z digest=sha256:a1138e2799e786c40f0fa455896995a12d18d39d0aa439aac3018f448a7f25e3

Observation 5ba0bb21-d670-473f-a7a8-38e207076b2e · outbound

This paper cites Computable Structure Theory: Within the Arithmetic.

Classifying the complexity of models of arithmetic Computable Structure Theory: Within the Arithmetic

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:08.428093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:08.428093Z digest=sha256:af9122341ec7be80b8bbccecbcb0640aa36114a4ed92e3a29d22be5f3d30f861

Observation 19a90702-760d-459d-8955-9329b1cbd01d · outbound

This paper cites The structural complexity of models of arith- metic.

Classifying the complexity of models of arithmetic The structural complexity of models of arith- metic

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:09.915736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:08.494610Z digest=sha256:be601fc5431baeb1da06ba38a96341a3ab40e8d1e70719c2aaed894cfb97b6fe

Observation f0aa14de-e8bf-4cec-bce9-7c0da38bbd6f · outbound

This paper cites Logic with denumerably long formulas and finite strings of quantifiers.

Classifying the complexity of models of arithmetic Logic with denumerably long formulas and finite strings of quantifiers

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:09.705481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:08.579053Z digest=sha256:caf2f6e8ef36ef7210ef8dad0ba8a93c10671ee70aa67f6252cf888ee48f2ffd

Observation adff03c1-da60-468b-85c1-e88116c92202 · outbound

This paper cites RecursivelySaturatedNonstandardModelsofArithmetic.

Classifying the complexity of models of arithmetic RecursivelySaturatedNonstandardModelsofArithmetic

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:12:09.536668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T17:12:08.666238Z digest=sha256:def172b362f843f7f33ce168ec5728696cfac47ca4a67715f945a70a156d84e6

Pith citing papers

No inbound Pith citation observations are available.