Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T08:30:33.043291Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 0 inbound Pith citation observations for arXiv:2607.27387.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T08:30:33.043291Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
86 of 86 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation bde4894b-4f3b-4de4-954c-fe7f3e6f9b01 · outbound
Extension Types for Free Two-level type theory
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cfb608d9-31d6-44c8-be9a-764e576be26e · outbound
Extension Types for Free American Mathematical Society, 2025
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c5287c6-e6ed-41ba-a961-62f1660a0d97 · outbound
Extension Types for Free Extending homotopy type theory with strict equality
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 298bbfc8-ad28-44a9-ad02-485486276510 · outbound
Extension Types for Free PhD thesis, Carnegie Mellon University, Pittsburgh, PA, USA, 2019
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e665ecc6-081d-4d4e-8ba6-858376c23b72 · outbound
Extension Types for Free The RedPRL proof assistant (invited paper)
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ddeafd8d-b881-4767-a7c8-474864846b3e · outbound
Extension Types for Free Unresolved cited work
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24576386-134e-43ab-bcd1-97e3f8514b56 · outbound
Extension Types for Free Two-level type theory and applications.Mathematical Structures in Computer Science, 33(8):688–743, 2023
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9e6b287-fd41-4285-97d7-2a0c488b9942 · outbound
Extension Types for Free The equivariant model structure on cartesian cubical sets.Advances in Mathematics, 495:110965,
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc962564-3246-41aa-a718-940033d7b9bd · outbound
Extension Types for Free sHoTT: formalisations for simplicial HoTT and synthetic ∞-categories, 2023
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45d8a792-a77c-4532-912f-93d601593701 · outbound
Extension Types for Free A model of type theory in cubical sets
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df9c5132-bdef-4035-8371-340ad95aadb1 · outbound
Extension Types for Free Coherence of strict equalities in dependent type theories
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54fed2fc-c297-426e-8f33-25b71c38cf14 · outbound
Extension Types for Free External univalence for second-order generalized algebraic theories
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a030f15c-9742-4544-9c62-795c7dda3ab5 · outbound
Extension Types for Free Towards coherence theorems for equational extensions of type theories
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df2a4410-7019-4d3a-9a5c-809c004fc08f · outbound
Extension Types for Free Strict Rezk completions of models of HoTT and homotopy canonicity
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a012da3-5f36-4838-8590-5a3f6c7007c3 · outbound
Extension Types for Free PhD thesis, E¨ otv¨ os Lor´ and University, 2025
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ff5f0fd-615e-4739-bae6-14979c32c0b8 · outbound
Extension Types for Free A general cubical framework for coherence theorems
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e984f2e0-a0c9-4059-a913-54af7fbd5fbd · outbound
Extension Types for Free For the metatheory of type theory, internal sconing is enough
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cedbae3c-6a23-46ee-81d6-52b81372700a · outbound
Extension Types for Free Homotopy type theory in Agda, fork by andrew swan, since 2012
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe159dbd-23ea-404a-a990-148236d59bc8 · outbound
Extension Types for Free Unresolved cited work
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92a2a507-1c10-4feb-b914-fcb569ad8d40 · outbound
Extension Types for Free PhD thesis, University of Nottingham, 2017.https://eprints.nottingham.ac.uk/id/eprint/39382
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbe7046f-2824-4c9f-b5c9-dd34792d4f53 · outbound
Extension Types for Free Relative elegance and cartesian cubes with one connec- tion.Canadian Journal of Mathematics, 2025
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f15ed63b-fd88-452f-aa26-761f46927008 · outbound
Extension Types for Free Eliminating reversals from cubical type theories
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f344416d-731e-4c7d-b865-bf5e7ad92666 · outbound
Extension Types for Free Synthetic fibered ( ∞,1)-category theory.Higher Structures, 7(1):74–165, 2023
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c30810e6-4657-4e29-a194-0f99e1b68851 · outbound
Extension Types for Free Variations on cubical sets
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c75098e7-82c8-44ef-9980-4cdc4de7c8a9 · outbound
Extension Types for Free Canonicity and homotopy canonicity for cubical type theory.Logical Methods in Computer Science, 18(1):28:1–28:35, 2022
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8e67f8d-f5f7-482f-81bb-ca51244b2fbf · outbound
Extension Types for Free Synthetic topology of data types and classical spaces.Electronic Notes in Theoretical Computer Science, 87:21–156, 2004
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f75adbe8-1c72-48fe-9627-280f0178953d · outbound
Extension Types for Free Cubical type theory: A constructive interpretation of the univalence axiom
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83de865f-dbb2-4a04-b31f-2b4d4e6ad26f · outbound
Extension Types for Free Towards a constructive simplicial model of univalent foundations.Journal of the London Mathematical Society, 105(2):1073–1109, 2022
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1085a350-76e6-4bee-9f7e-c38d58e7bb43 · outbound
Extension Types for Free Directed univalence in simplicial homotopy type theory
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c798c6c1-65f4-4729-82eb-fefdae839a1c · outbound
Extension Types for Free Controlling unfolding in type theory.Mathematical Structures in Computer Science, 35:e38,
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1262dae5-f1f0-4628-9290-fbeafe795c1d · outbound
Extension Types for Free Any retraction of an identity type is an equivalence
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c34d547-041c-4e82-b27a-c287d62e0f5f · outbound
Extension Types for Free The ∞-category of ∞-categories in simplicial type theory
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 991fe285-5f34-40b2-a497-90e8355e7a62 · outbound
Extension Types for Free Unresolved cited work
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52ce2e7f-ecd9-4bf7-95f4-a8bce577f334 · outbound
Extension Types for Free Conservativity of equality reflection over intensional type theory
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6fed61c-4c20-4ebc-ac12-3e6d3e9932b5 · outbound
Extension Types for Free Morita equivalences between algebraic dependent type theories
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11a56ea6-3137-4f5f-9802-c5a257d335d0 · outbound
Extension Types for Free The Yoneda embedding in simplicial type theory
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c266039-2304-49e7-9e75-8bc0c7e51838 · outbound
Extension Types for Free Type theory in type theory using a strictified syntax
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6417bd09-7d96-4a16-8b31-ec9e0205aaef · outbound
Extension Types for Free Homotopy canonicity of homotopy type theory
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8babc2fc-7978-4410-808d-179db2096216 · outbound
Extension Types for Free Extensional concepts in intensional type theory, re- visited.Theoretical Computer Science, 1029:115051, 2025
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c90d2019-f086-49cf-b96d-37bf2af8167e · outbound
Extension Types for Free The simplicial model of univalent foundations (after Voevodsky).Journal of the European Mathematical Society, 23(6):2071– 2126, 2021
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b11b5a76-8212-47cd-be7c-86a73f916d74 · outbound
Extension Types for Free The arend proof assistant
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f873a20-8ed9-44ca-b46d-a0b5301947e0 · outbound
Extension Types for Free Staged compilation with two-level type theory
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ca4d7410-79bf-46ab-9eba-c7b7488869ec · outbound
Extension Types for Free Representing type theories in two-level type theory
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 398d9553-cbb8-46d1-a96a-bed02e8a734a · outbound
Extension Types for Free Formalizing the ∞-categorical Yoneda lemma
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f9214b8-019f-4d95-9b2c-89064ee80aad · outbound
Extension Types for Free Rzk proof assistant
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 879896a2-365c-4995-871b-1f98cb1b2372 · outbound
Extension Types for Free Displayed type theory and semi-simplicial types.Mathematical Structures in Computer Science, 35:e34, 2025
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03d5fcc0-efbc-4fb4-8786-d72a8441b537 · outbound
Extension Types for Free Licata, Ian Orton, Andrew M
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aeaf0f14-6002-47e0-8dbd-1068a95e5bf0 · outbound
Extension Types for Free Semantics of higher inductive types
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2659ddda-794d-48ec-8dc3-31ce57633280 · outbound
Extension Types for Free ∞-type theories.Higher Structures, 9(1):179–226,
Reference 49
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Unavailable: canonical work link unavailable.
Observation fa8ccd45-ae10-4455-98ac-9ce5caa148e8 · outbound
Extension Types for Free Transpension: The right adjoint to the pi-type
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c5240d21-fb6a-4a9b-b364-6e9a7af43f6c · outbound
Extension Types for Free Unresolved cited work
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7bbcac88-5e04-4ab8-8611-5ef22d1618f0 · outbound
Extension Types for Free Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 20db875f-8ce3-4221-b060-e638de72f21d · outbound
Extension Types for Free Extensionality in the calculus of constructions
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3739aff4-e66b-4f61-967f-5409524eab29 · outbound
Extension Types for Free Strictly associative group theory using univalence
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 275c857c-4375-451d-867c-f5974316e250 · outbound
Extension Types for Free A type theory for synthetic ∞-categories.Higher Structures, 1(1):147–224, 2017
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c557eff-af33-4b8d-9882-64bb4b0f3ac1 · outbound
Extension Types for Free Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation be33da11-1b25-4ee8-808b-39735ea6a284 · outbound
Extension Types for Free PhD thesis, University of Oxford, 1986
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c55bec9-a8bf-4eb4-8157-e3e6fe2c807b · outbound
Extension Types for Free Unresolved cited work
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 926b621b-6f0d-4a61-9d01-b403e2ca5ece · outbound
Extension Types for Free Do cubical models of type theory also model homotopy types? Lecture at the Hausdorff Trimester ProgramTypes, Sets and Constructions, Bonn
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation accc93a5-69ca-4ec8-879e-455c68dfd9a6 · outbound
Extension Types for Free Towards facett: a generalization of intensional type systems with glue
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0017a3da-c0fe-4712-a8d3-e14218a4fea1 · outbound
Extension Types for Free Univalence for inverse diagrams and homotopy canonicity.Mathematical Structures in Computer Science, 25(5):1203–1277, 2015
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ce5a931-839a-402b-bbe9-e930f2999010 · outbound
Extension Types for Free All $(\infty,1)$-toposes have strict univalent universes
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c8bd61d-cc04-48cc-9f7e-f18ef4bc42e5 · outbound
Extension Types for Free Cambridge Studies in Advanced Mathematics
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee935f3a-7d6b-44bb-922b-d827357bbb60 · outbound
Extension Types for Free Logical relations as types: Proof-relevant parametricity for program modules.Journal of the ACM (JACM), 68(6):1–47, 2021
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e170a277-31e7-4080-a8da-9a67ed498a55 · outbound
Extension Types for Free The Equivalence Extension Property and Model Structures
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48e77b31-739d-41a3-89a2-0a826a0b32a2 · outbound
Extension Types for Free redtt: a proof assistant for Cartesian cubical type theory
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70936046-ad0a-48ad-b378-9c3cd46de3ef · outbound
Extension Types for Free Unresolved cited work
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 659c2432-d41a-45bd-9e30-aaf7f03058b2 · outbound
Extension Types for Free Orthogonality closure properties, 2026
Reference 68
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9698e6f2-325c-4490-a3b6-7da47f9e0704 · outbound
Extension Types for Free A general framework for the semantics of type theory.Mathematical Structures in Computer Science, 33(3):134–179, 2023
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5736e3c-2973-4da3-b75a-3123ef3e2a1f · outbound
Extension Types for Free PhD thesis, Carnegie Mellon University, 2021
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6fa1476-b0d1-4bbc-b8e0-178c8f17cee2 · outbound
Extension Types for Free 2LTT-Agda: Formalization of 2LTT in Agda
Reference 71
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0a1e50f-0a7d-4b4f-b334-bd5af4a8d04e · outbound
Extension Types for Free Unresolved cited work
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6b90010f-fa37-4f30-b613-c60685fa9ef7 · outbound
Extension Types for Free Cubical Agda: a dependently typed programming language with univalence and higher inductive types.Proceedings of the ACM on Programming Languages, 3(ICFP):1–29, 2019
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0b374ec-a334-446b-8688-ac4a920aac29 · outbound
Extension Types for Free A simple type system with two identity types
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90fd312e-4e0a-49f6-89b5-c66266e0dc82 · outbound
Extension Types for Free Strict stability of extension types.Theory and Applications of Categories, 45(38):1555–1582, 2026
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cf4c25e-dc8f-4e87-8d44-ec5704ef4f38 · outbound
Extension Types for Free PhD thesis, Universit´ e de Nantes, 2020.https://theses.fr/2020NANT4012
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cfa47e5-4907-4964-9f3e-ca602bb3cc09 · outbound
Extension Types for Free https://homotopytypetheory.org/book, Institute for Advanced Study, 2013
Reference 77
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Unavailable: canonical work link unavailable.
Observation b3520189-722b-46c7-9d97-1e9fb4bbab14 · outbound
Extension Types for Free Three non-cubical applications of extension types
Reference 78
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation abc838b9-ce62-4417-a262-dab89eb2c73d · outbound
Extension Types for Free Formalizing two-level type theory with cofibrant exo-nat.Mathematical Struc- tures in Computer Science, 35:e30, 2025
Reference 79
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57454f21-0d42-4b96-b96d-c56503513d4f · outbound
Extension Types for Free Eliminating reflection from type theory
Reference 84
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97f9028e-53d5-47a6-bfd7-015088c8d5eb · outbound
Extension Types for Free The aya prover
Reference 86
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca7f777d-c765-40ba-9c9a-4666b46df114 · outbound
Extension Types for Free Unresolved cited work
Reference 2014
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1429d447-33f9-4ba4-8ba9-8d306ad68845 · outbound
Extension Types for Free ISBN 978-3-95977-077-4
Reference 2018
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15f1ff2c-745e-4963-a5ed-45399b28d704 · outbound
Extension Types for Free Unresolved cited work
Reference 2023
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b64d4fc2-433f-46d3-ae96-d513c1f0b253 · outbound
Extension Types for Free Unresolved cited work
Reference 2025
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8064783d-a042-4dd7-9844-9351a0b74e53 · outbound
Extension Types for Free Unresolved cited work
Reference 2026
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.