Paper Citation Record · LEDGER

Definitional Inversion, Without Normalisation

As of 9 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.13662.

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

pith.paper-citation-record.v1
2607.13662 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T04:39:00.779828Z

measured 40 of 40 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

40 of 40 outbound references displayed

verified exact14
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22776145-d405-4a54-a66b-1f837916a9c6 · outbound

This paper cites an unresolved cited work.

Definitional Inversion, Without Normalisation Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:59.879393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5722ac0-878c-4503-9926-e93af09fc2a6 · outbound

This paper cites Remarks on the equational theory of non-normalizing pure type systems.

Definitional Inversion, Without Normalisation Remarks on the equational theory of non-normalizing pure type systems

Reference 5

Resolution: verified exact; doi, observed 2026-08-02T04:43:31.449863Z

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 478af5cc-2df9-4e3d-bf45-72abf0fcd847 · outbound

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

Definitional Inversion, Without Normalisation Lean4Lean: Verifying a Typechecker for Lean, in Lean

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.297023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a38c2b0d-1da4-4034-b169-76aa3ba33ca0 · outbound

This paper cites Implementing a Modal Dependent Type Theory.

Definitional Inversion, Without Normalisation Implementing a Modal Dependent Type Theory

Reference 19

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.940386Z

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 c2f64109-3c6a-41b1-ba65-036b249200d3 · outbound

This paper cites Iris from the ground up: A modular foundation for higher-order concurrent separation logic.

Definitional Inversion, Without Normalisation Iris from the ground up: A modular foundation for higher-order concurrent separation logic

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:59.294196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a42188b-aab8-46f9-86db-d30949228d2f · outbound

This paper cites Using Information Systems to Solve Recursive Domain Equations.

Definitional Inversion, Without Normalisation Using Information Systems to Solve Recursive Domain Equations

Reference 23

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.780808Z

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 9b7b893d-90cc-4633-a0d5-1260fadbd489 · outbound

This paper cites Gradualizing the Calculus of In- ductive Constructions.

Definitional Inversion, Without Normalisation Gradualizing the Calculus of In- ductive Constructions

Reference 26

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.661299Z

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 dac59d07-4c0f-465b-9d89-9c36fd660991 · outbound

This paper cites Algorithmic Conversion with Surjective Pairing: A Syntactic and Untyped Ap- proach.

Definitional Inversion, Without Normalisation Algorithmic Conversion with Surjective Pairing: A Syntactic and Untyped Ap- proach

Reference 27

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.601682Z

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 9b93cac4-9144-4a40-a843-b08b368f9fe7 · outbound

This paper cites A theory of types.

Definitional Inversion, Without Normalisation A theory of types

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:59.786452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54ba11d5-68d3-45ef-a118-e7ebd8a17d0c · outbound

This paper cites ”Type” is not a type.

Definitional Inversion, Without Normalisation ”Type” is not a type

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:59.988748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03f9cbaf-5bc1-410f-bcd9-e617a06f5baf · outbound

This paper cites Correct and Complete Type Checking and Certified Erasure for Coq, in Coq.

Definitional Inversion, Without Normalisation Correct and Complete Type Checking and Certified Erasure for Coq, in Coq

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T04:39:00.375856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 639ff2f7-d886-43b6-b37b-5ee06cf67d92 · outbound

This paper cites Autosubst 2: reasoning with multi-sorted de Bruijn terms and vector substitutions.

Definitional Inversion, Without Normalisation Autosubst 2: reasoning with multi-sorted de Bruijn terms and vector substitutions

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T04:39:00.460748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4297b84-1b34-4d83-aacd-e14448877e5b · outbound

This paper cites A Syntactic Approach to Type Soundness.

Definitional Inversion, Without Normalisation A Syntactic Approach to Type Soundness

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T04:39:00.779828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcb4b1e0-5be4-4c09-9b4b-65d1fb1e324c · outbound

This paper cites Luca Cardelli.

Definitional Inversion, Without Normalisation Luca Cardelli

Reference 125

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.235044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcb3df8c-c044-4be7-a1e2-261917494157 · outbound

This paper cites TheMathematicalLanguageAUTOMATH,ItsUsage,andSomeofItsExtensions.

Definitional Inversion, Without Normalisation TheMathematicalLanguageAUTOMATH,ItsUsage,andSomeofItsExtensions

Reference 260

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.162884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0bf0073-e6b6-4827-9549-396dbaae5cdb · outbound

This paper cites isbn: 978-3-95977- 374-4.

Definitional Inversion, Without Normalisation isbn: 978-3-95977- 374-4

Reference 337

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.736832Z

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 cf9a0acf-d94c-42da-b1e8-2e30681945f1 · outbound

This paper cites doi:10.1007/3-540-52335-9_47.

Definitional Inversion, Without Normalisation doi:10.1007/3-540-52335-9_47

Reference 417

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.449747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9715f5e7-548e-487b-bcef-6da6d88e27d0 · outbound

This paper cites On the Axiom of Extensionality. Part I.

Definitional Inversion, Without Normalisation On the Axiom of Extensionality. Part I

Reference 1956

Resolution: malformed identifier; doi_truncated, observed 2026-08-02T04:43:31.077669Z

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 7c057aff-8f32-41c5-a3fe-780bbf9bd203 · outbound

This paper cites Intensional interpretations of functionals of finite type I.

Definitional Inversion, Without Normalisation Intensional interpretations of functionals of finite type I

Reference 1967

Resolution: unresolved; no resolver link, observed 2026-08-02T04:39:00.642089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3d006d5-5c56-417e-a13c-fe5ab1fe52cf · outbound

This paper cites Some Extensional Term Models for Combinatory Logics and Lambda-Calculi.

Definitional Inversion, Without Normalisation Some Extensional Term Models for Combinatory Logics and Lambda-Calculi

Reference 1971

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:57.882338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ded64eb-4378-4753-a83d-151985cf1013 · outbound

This paper cites The Category-Theoretic Solution of Recursive Domain Equations.

Definitional Inversion, Without Normalisation The Category-Theoretic Solution of Recursive Domain Equations

Reference 1982

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.146607Z

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 cbd001ca-c6c2-4970-9ffc-23523b0130cf · outbound

This paper cites The System F of Variable Types, Fifteen Years Later.

Definitional Inversion, Without Normalisation The System F of Variable Types, Fifteen Years Later

Reference 1986

Resolution: verified exact; doi, observed 2026-08-02T04:43:31.025622Z

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 1d3a621d-26c4-4f7a-8df1-b91abfcedc6b · outbound

This paper cites Typechecking is Undecidable when ‘Type’ is a Type.

Definitional Inversion, Without Normalisation Typechecking is Undecidable when ‘Type’ is a Type

Reference 1989

Resolution: unresolved; no resolver link, observed 2026-08-02T04:39:00.137873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fd13add-f4ed-4a24-ba5e-b309e3511375 · outbound

This paper cites First steps in synthetic domain theory.

Definitional Inversion, Without Normalisation First steps in synthetic domain theory

Reference 1991

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.881409Z

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 6ed7bb23-c94a-424b-a82f-81f98ebfcc10 · outbound

This paper cites On the Church-Rosser Property for Expressive Type Systems and its Consequences for their Metatheoretic Study.

Definitional Inversion, Without Normalisation On the Church-Rosser Property for Expressive Type Systems and its Consequences for their Metatheoretic Study

Reference 1994

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.881608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc6da111-588d-42df-b7c3-ed41515a5189 · outbound

This paper cites Cayenne—a language with dependent types.

Definitional Inversion, Without Normalisation Cayenne—a language with dependent types

Reference 1998

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:57.811883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89e57531-c39f-4726-9333-3360349c9f17 · outbound

This paper cites A General Formulation of Simultaneous Inductive-Recursive Definitions in Type Theory.

Definitional Inversion, Without Normalisation A General Formulation of Simultaneous Inductive-Recursive Definitions in Type Theory

Reference 2000

Resolution: verified exact; doi, observed 2026-08-02T04:43:31.279525Z

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 1548d0b4-97d1-4228-851d-8cb56c1188b9 · outbound

This paper cites The Origins of Structural Operational Semantics.

Definitional Inversion, Without Normalisation The Origins of Structural Operational Semantics

Reference 2004

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.497450Z

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 3c287773-79b0-46fe-8823-1f13d673ac43 · outbound

This paper cites On equivalence and canonical forms in the LF type theory.

Definitional Inversion, Without Normalisation On equivalence and canonical forms in the LF type theory

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:59.148480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69dbba1f-1d8f-4285-bd65-abf01ba61579 · outbound

This paper cites Pure type systems with judgemental equality.

Definitional Inversion, Without Normalisation Pure type systems with judgemental equality

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:57.704629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26f66d4b-5cbd-4a0c-9adf-1bcc893d050a · outbound

This paper cites Pure Type System conversion is always typable.

Definitional Inversion, Without Normalisation Pure Type System conversion is always typable

Reference 2012

Resolution: verified exact; doi, observed 2026-08-02T04:43:30.356422Z

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 d3e0f42f-e43d-4e0f-9998-79e67c272fc7 · outbound

This paper cites Normalization by Evaluation: Dependent Types and Impredicativity.

Definitional Inversion, Without Normalisation Normalization by Evaluation: Dependent Types and Impredicativity

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:57.609169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3434241e-8b78-4fb1-9c90-3eff4b476b9e · outbound

This paper cites A speci- fication for dependent types in Haskell.

Definitional Inversion, Without Normalisation A speci- fication for dependent types in Haskell

Reference 2017

Resolution: malformed identifier; no resolver link, observed 2026-08-02T04:39:00.723648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84ec8766-0258-47c3-b697-47618b677216 · outbound

This paper cites An Adequacy Theorem for Dependent Type Theory.

Definitional Inversion, Without Normalisation An Adequacy Theorem for Dependent Type Theory

Reference 2018

Resolution: verified exact; doi, observed 2026-08-02T04:43:31.363930Z

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 6cf7bf45-abba-448a-9250-8db103df3446 · outbound

This paper cites Approximate Normalization for Gradual Dependent Types.

Definitional Inversion, Without Normalisation Approximate Normalization for Gradual Dependent Types

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.691896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea53a41a-2ba7-44d4-a39c-97cff24ab5ce · outbound

This paper cites First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory.

Definitional Inversion, Without Normalisation First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-02T04:39:00.557509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b6f6326-9653-49d9-9f3c-b3e276624d62 · outbound

This paper cites Propositional equality for gradual dependently typed program- ming.

Definitional Inversion, Without Normalisation Propositional equality for gradual dependently typed program- ming

Reference 2022

Resolution: verified exact; doi, observed 2026-08-02T04:43:31.188356Z

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 6deb2241-db68-4b17-9bc5-ebab1111e1cf · outbound

This paper cites For the Metatheory of Type Theory, Internal Sconing Is Enough.

Definitional Inversion, Without Normalisation For the Metatheory of Type Theory, Internal Sconing Is Enough

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.092821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 122e02e6-96a1-41ed-8041-a1a9078fe5b5 · outbound

This paper cites What Does It Take to Certify a Conversion Checker?.

Definitional Inversion, Without Normalisation What Does It Take to Certify a Conversion Checker?

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:59.473382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 509b9da9-314f-4a82-a969-99eb6e2861c3 · outbound

This paper cites Confluence Techniques for Dependent Type Theory with Typed Conver- sion.

Definitional Inversion, Without Normalisation Confluence Techniques for Dependent Type Theory with Typed Conver- sion

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-02T04:38:58.749810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.