Paper Citation Record · LEDGER

Dependent Types Simplified

As of 9 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.04071.

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

pith.paper-citation-record.v1
2507.04071 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:13:13.297073Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

19 of 19 outbound references displayed

verified exact3
verified fuzzy10
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ed6e340-89c5-478c-b927-a1697b045482 · outbound

This paper cites On relating type theories and set theories.

Dependent Types Simplified On relating type theories and set theories

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:16.856539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5576a864-3e35-4f31-b4a4-631b5186f8f4 · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:13:16.752069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2bfc341d-8d5b-4021-98c8-56fa1a2a83e7 · outbound

This paper cites The type theory of L ean.

Dependent Types Simplified The type theory of L ean

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:16.483223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1a23b701-3c01-4b44-ad41-3e108f12adfb · outbound

This paper cites Lean4Lean: Verifying a Typechecker for Lean, in Lean.

Dependent Types Simplified Lean4Lean: Verifying a Typechecker for Lean, in Lean

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T20:13:11.858649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90872ed0-2fd5-4ac7-a105-74658cd4c150 · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-06T20:13:13.848528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0adc24cf-be8c-4a30-a847-4aba243ecc93 · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T20:13:12.107194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cff85ef4-db34-4eb9-98f1-69db7c62198f · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:13:16.156131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6feb4ab0-c6d9-461d-aa9f-7b673f00cb1d · outbound

This paper cites A new paradox in type theory.

Dependent Types Simplified A new paradox in type theory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:15.818986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ad3cb64b-7265-4ffa-bda8-f260ba2579bf · outbound

This paper cites Inductively defined types.

Dependent Types Simplified Inductively defined types

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:15.567613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5a23c07c-44b0-47e0-adee-2680c899a278 · outbound

This paper cites Roger Hindley and Jonathan P.

Dependent Types Simplified Roger Hindley and Jonathan P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:15.263006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fcccba95-582d-4cb3-8d01-f7ce2d693ea6 · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:13:15.151904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3e8ce1c0-db77-4176-a913-674bd604fa9d · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T20:13:13.696961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4c7435ab-6d0a-4508-aed0-bad38664a6a7 · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:13:15.016916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bedd2815-61a1-4766-b933-c8cba4f6aed8 · outbound

This paper cites Set theory.

Dependent Types Simplified Set theory

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:14.866317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 71ad20ee-fad0-4502-b210-5866bdcdeacc · outbound

This paper cites The substitutional paradox in R ussell's 1907 letter to H awtrey.

Dependent Types Simplified The substitutional paradox in R ussell's 1907 letter to H awtrey

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:14.610240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 58a46c89-a581-48c0-9376-6767b7bcdc40 · outbound

This paper cites Computation and reasoning.

Dependent Types Simplified Computation and reasoning

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:14.415685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 342718ce-08e5-4ae5-9e22-c3852b84bb7b · outbound

This paper cites an unresolved cited work.

Dependent Types Simplified Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T20:13:13.518131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9495bd89-3e96-4bd1-955c-060d86e042f7 · outbound

This paper cites The not so simple proof-irrelevant model of CC.

Dependent Types Simplified The not so simple proof-irrelevant model of CC

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:14.274467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 07a5b602-ea2e-4cb8-8ee7-42bcba36e05a · outbound

This paper cites Russell and A.

Dependent Types Simplified Russell and A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:13:14.073533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.