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Paper Citation Record · LEDGER

Internal Algebraic Type Theory

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.00095.

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

pith.paper-citation-record.v1
2608.00095 v1

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measured 20 of 20 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T01:26:37.947581Z

measured 20 of 20 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

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Reference resolution

20 of 20 outbound references displayed

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Outbound references

Observation e11a4155-0e74-46de-b48a-cb6042658044 · outbound

This paper cites Path types in algebraic type theory.

Internal Algebraic Type Theory Path types in algebraic type theory

Reference 1

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source=pdf_text observed=2026-08-04T01:26:36.912067Z digest=sha256:d86a4bb6cedbeb17238f8e6c84ec0a8b53813518190d88f7be1535dc58d1aa67

Observation 1344e84c-b97f-44c5-becf-620c1ed5d3ca · outbound

This paper cites Théorie des T opos et Cohomologie Etale des Schémas I.

Internal Algebraic Type Theory Théorie des T opos et Cohomologie Etale des Schémas I

Reference 4

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source=pdf_text observed=2026-08-04T01:26:37.019279Z digest=sha256:345515a0e041bea61b69793dd508bdbb52504e1cef867b6e14953f84a3cfc470

Observation 8809eb4e-e9b3-47d9-9595-a9eedf8682c4 · outbound

This paper cites Ho TTLean: Formalizing the Meta-Theory of Ho TT in Lean.

Internal Algebraic Type Theory Ho TTLean: Formalizing the Meta-Theory of Ho TT in Lean

Reference 7

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source=pdf_text observed=2026-08-04T01:26:37.170043Z digest=sha256:033eb0502335ba8a692163983d15bd0bd79ff5a94bb24c206266e8c065498ce4

Observation 063ed79a-9811-4c16-9e69-e0d019963e9b · outbound

This paper cites [Hes07] Kathryn Hess.

Internal Algebraic Type Theory [Hes07] Kathryn Hess

Reference 9

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source=pdf_text observed=2026-08-04T01:26:37.269364Z digest=sha256:b6bfb7ebaaeb6f0b4ee97eca1fa73e3a06184c65cc9fa172a2946682abdb5011

Observation 159c7f1e-0678-4829-8f78-433943407a14 · outbound

This paper cites Fibrations and homotopy colimits of simplicial sheaves.

Internal Algebraic Type Theory Fibrations and homotopy colimits of simplicial sheaves

Reference 16

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source=pdf_text observed=2026-08-04T01:26:37.642491Z digest=sha256:ee9cafe0eeff156cb7b3fc384e3caaad9c152db8d179cb8e7e6ec33f45a23bca

Observation f66193fe-90da-4cf8-a0ce-46fd3234abe9 · outbound

This paper cites Synthetic perspectives on spaces and categories.

Internal Algebraic Type Theory Synthetic perspectives on spaces and categories

Reference 17

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source=pdf_text observed=2026-08-04T01:26:37.719299Z digest=sha256:467b1d3494d0a18ec5c714c24b19cb1a6ac76d1c78f8e87c3d18ae7d71969395

Observation e4e9e857-f566-4842-bbf3-d71d74bbe670 · outbound

This paper cites Directed type theory , with a twist.

Internal Algebraic Type Theory Directed type theory , with a twist

Reference 18

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source=pdf_text observed=2026-08-04T01:26:37.824661Z digest=sha256:d837c0e4a605d3fe87657a0ea21dc4e57b6071db07411d1322d10d82ceeca652

Observation f7af2232-9230-4aa2-ac5e-867b18aa53ed · outbound

This paper cites T owards an internalization of the groupoid model of type theory.

Internal Algebraic Type Theory T owards an internalization of the groupoid model of type theory

Reference 19

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source=pdf_text observed=2026-08-04T01:26:37.889712Z digest=sha256:f5aaa480025966e797fd1d74287ff828b9c798b7caa85300ce9061d5b3b92d19

Observation 4d95816a-1345-463f-a860-1bd1fa6a0ca6 · outbound

This paper cites Cu- bical T ype Theory: A Constructive Interpretation of the Univalence Axiom.

Internal Algebraic Type Theory Cu- bical T ype Theory: A Constructive Interpretation of the Univalence Axiom

Reference 1972

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source=pdf_text observed=2026-08-04T01:26:37.077423Z digest=sha256:3cf17547b7dfd8cc55b196772090476d570f0f863ac96b0f37e546ae9f2c7e35

Observation 4437844f-324b-40a7-ae25-9b982b34244a · outbound

This paper cites The simplicial model of univalent foundations (after Voevodsky).

Internal Algebraic Type Theory The simplicial model of univalent foundations (after Voevodsky)

Reference 1982

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source=pdf_text observed=2026-08-04T01:26:37.484327Z digest=sha256:5af128f4d8dd09ddbfe9c1b04fb48864eaffae9500e5ac68f520256f8af97f23

Observation dd562191-cd18-4a1d-b224-f58d3f1b9211 · outbound

This paper cites Notes on Clans and Tribes.

Internal Algebraic Type Theory Notes on Clans and Tribes

Reference 1993

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source=pdf_text observed=2026-08-04T01:26:37.430122Z digest=sha256:05e1cfc40ce953da6b3f24c2fa375e67bacb8cb99e9dabc177f83c58c366a943

Observation b33edc75-d27a-4a5a-8d77-c1e9d9063363 · outbound

This paper cites [HS98] Martin Hofmann and Thomas Streicher.

Internal Algebraic Type Theory [HS98] Martin Hofmann and Thomas Streicher

Reference 1997

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source=pdf_text observed=2026-08-04T01:26:37.369460Z digest=sha256:ddfa634cd13e1c21d6a25af8f77fcde60b2352bc4181d2471f16d1d0f8091159

Observation ee740f61-633c-40f3-b483-ee13ffe28961 · outbound

This paper cites Polynomial functors in -clans for the semantics of type theory.

Internal Algebraic Type Theory Polynomial functors in -clans for the semantics of type theory

Reference 1998

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source=pdf_text observed=2026-08-04T01:26:37.395112Z digest=sha256:1cbd0d968429eb77ad920eccd118d78af421d201fc60a8047864de60199af7c3

Observation e5070ae3-ce90-4125-abbf-d1a4520aafa1 · outbound

This paper cites [HS97] Martin Hofmann and Thomas Streicher.

Internal Algebraic Type Theory [HS97] Martin Hofmann and Thomas Streicher

Reference 2007

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source=pdf_text observed=2026-08-04T01:26:37.312418Z digest=sha256:b4ac76164f1e97796fdd1cc786b8d1365620f6af2013cea8cc7eded337de2ff2

Observation 6b7ea9ae-b003-4699-ba53-849f4afa689f · outbound

This paper cites Fibered Categories a la Jean Benabou.

Internal Algebraic Type Theory Fibered Categories a la Jean Benabou

Reference 2012

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source=pdf_text observed=2026-08-04T01:26:37.947581Z digest=sha256:a15686e7cfc74ccd69b1bc20b31e3810a79858c542f3ea321479bde91ff850f0

Observation b7f33ec1-43d6-4a6c-9887-ee52c13c7b2d · outbound

This paper cites Licata, Michael Shulman, and Mitchell Riley.

Internal Algebraic Type Theory Licata, Michael Shulman, and Mitchell Riley

Reference 2016

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Observation 838a6855-8a42-4a67-88d9-24a1560c3197 · outbound

This paper cites The 1-category of 1-categories in simplicial type theory.

Internal Algebraic Type Theory The 1-category of 1-categories in simplicial type theory

Reference 2023

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source=pdf_text observed=2026-08-04T01:26:37.123191Z digest=sha256:08ad001797d0ff7f439980c19cbf8b01dcaf8c8ad5dfedf679f2b8d18ffc24ce

Observation 3e269514-6856-4e63-842b-9870b50749c7 · outbound

This paper cites Algebraic Type Theory, Part 1: Martin-L\"of algebras.

Internal Algebraic Type Theory Algebraic Type Theory, Part 1: Martin-L\"of algebras

Reference 2024

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source=pdf_text observed=2026-08-04T01:26:36.988957Z digest=sha256:528cf423959c1988a9cc0fc0f7c7075e90427c05f6021309dd76b9222b5e319f

Observation 9a8df9b3-8c3d-47b2-9a51-b4b889adb7ca · outbound

This paper cites Ho TTLean: Formalizing the groupoid model of MLTT.

Internal Algebraic Type Theory Ho TTLean: Formalizing the groupoid model of MLTT

Reference 2025

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source=pdf_text observed=2026-08-04T01:26:37.238848Z digest=sha256:59b310ee10211a7803e46f4c30a3f7e8abc71deacb094c552bec7e19f2b1ccb3

Observation dbb8f87d-5759-4475-850d-3814fc453e9e · outbound

This paper cites Synthetic 1-categories in directed type theory.

Internal Algebraic Type Theory Synthetic 1-categories in directed type theory

Reference 2026

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source=pdf_text observed=2026-08-04T01:26:36.961848Z digest=sha256:27d401d5f21fc12c6c7c507aa24137d2c1a87795217b889a53f54ae2ae4cad00

Pith citing papers

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