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Paper Citation Record · LEDGER

Approximation of hyperarithmetic analysis by $\omega$-model reflection

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2411.16338.

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

pith.paper-citation-record.v1
2411.16338 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:28:40.600032Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51cb5da1-a23e-4f59-8e47-8ac4db4fb6b7 · outbound

This paper cites Barnes, Jun Le Goh, and Richard A.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Barnes, Jun Le Goh, and Richard A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:41.056101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.530125Z digest=sha256:bdfc0301cea654a10ce2ac3d3b0ec554edd6f560c472492444af3cbc36621faf

Observation 2cb43bfb-5c9b-457c-b574-2e0a8cf9426e · outbound

This paper cites an unresolved cited work.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:28:41.027106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.535726Z digest=sha256:ca56c476cd3aa15a53d23dacd44ca4c40f40c3c2807afc2b0d0b919c3d4b5fb0

Observation 28cab861-6029-4f77-aaa9-ba01f369e757 · outbound

This paper cites Friedman.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Friedman

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:41.003929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.540958Z digest=sha256:ff7402235ec1c577747485ab5fd6f137ed00895e480f602fb0a1c9289630a51a

Observation 182c0fab-67f9-4406-a37d-4de66549f79b · outbound

This paper cites Friedman.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Friedman

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.971831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.545863Z digest=sha256:64d03adc680b33b64c8f6916b2cb319d0efbc43e80c5d742028d74c90c4a5d61

Observation b35dd648-d643-44b5-9d8a-f17ae7e5c4bc · outbound

This paper cites The strength of an axiom of finite choice for branches in trees.

Approximation of hyperarithmetic analysis by $\omega$-model reflection The strength of an axiom of finite choice for branches in trees

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.951331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.550881Z digest=sha256:30342d2c946cda9318bea4337d95173fccdd8e3cc5d648bd4dd11201727184c2

Observation 5a1d97b2-98c1-45d4-8d2a-ef531308f99e · outbound

This paper cites ATR _0 and Some Related Theories.

Approximation of hyperarithmetic analysis by $\omega$-model reflection ATR _0 and Some Related Theories

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.921503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.556248Z digest=sha256:360d0835ac5da5ea6bd8202b16666e07006a56a8372dc8a83a39d7a7faf79c3f

Observation e0d77d04-4e95-4796-b0dd-31b151826205 · outbound

This paper cites Indecomposable linear orderings and hyperarithmetic analysis.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Indecomposable linear orderings and hyperarithmetic analysis

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.885389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.561494Z digest=sha256:8cd3658e66bdefe6d6fa1025f756ebbc0d128270031837435dccc50452995abf

Observation d3f0f058-9f16-4fd4-8703-d7c85338ff29 · outbound

This paper cites On the ^1_1 -separation principle.

Approximation of hyperarithmetic analysis by $\omega$-model reflection On the ^1_1 -separation principle

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.836866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.566096Z digest=sha256:86ab4bdc6c3586a6962b6cc02b42fee8ceac2f62c188a35d2edf5853d2bf01ff

Observation d61dc622-5279-4e9b-a64b-faacb3c60158 · outbound

This paper cites The strength of jullien's indecomposability theorem.

Approximation of hyperarithmetic analysis by $\omega$-model reflection The strength of jullien's indecomposability theorem

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.798218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.571538Z digest=sha256:4c8756ee40c004b8d40724850ba521ec8a128a34ee37735b97915938f4a947b1

Observation 18980240-b8f4-4afc-8149-402caa4d284a · outbound

This paper cites Necessary use of ^1_1 induction in a reversal.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Necessary use of ^1_1 induction in a reversal

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.768914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.576681Z digest=sha256:c544a5dfc0860b8dcb8da0c4d752e23818afcb96dd3db4032709ca4953aa1134

Observation d68cfae1-85f4-4381-bf69-a8fa37ce88e9 · outbound

This paper cites Transfinite dependent choice and -model reflection.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Transfinite dependent choice and -model reflection

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.727563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.581437Z digest=sha256:c42cf9e906929ba9ff5e927790504104c8bf1f48a466af72be3457e1c548c70b

Observation e61633db-0431-4296-bac1-f346e387cd2f · outbound

This paper cites an unresolved cited work.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T13:28:40.585838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T13:28:40.585838Z digest=sha256:3c35c2b45be5fe8e52df7f0ac0c360721e4901c8a9baad65dbf38949d02ebcd8

Observation d5d73369-2911-4d41-a174-3792c70f5420 · outbound

This paper cites an unresolved cited work.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:28:40.675193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.590534Z digest=sha256:8a377fdd19f363d30b35b68042f863d79cf1a48524f7e0726614c81492c7972e

Observation 2926b9f9-3fe8-4844-9ea5-814df7d81aed · outbound

This paper cites On the axiom of weak choice.

Approximation of hyperarithmetic analysis by $\omega$-model reflection On the axiom of weak choice

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:28:40.655267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.595170Z digest=sha256:bfd57a8e97ffafd802001f0a8fe9de9dbbc6f3e4352c536fd3b6926acf8e716a

Observation d1251644-815b-42dc-a681-83cf58e29c9e · outbound

This paper cites an unresolved cited work.

Approximation of hyperarithmetic analysis by $\omega$-model reflection Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:28:40.637330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T13:28:40.600032Z digest=sha256:ab9e938b9e707f3aea0d24db05830653dea204cd4d170d06d17ffc8f525d79fa

Pith citing papers

No inbound Pith citation observations are available.