Paper Citation Record · LEDGER

Internal Algebraic Type Theory

As of 10 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

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

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

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

20 of 20 outbound references displayed

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verified fuzzy0
unresolved20
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malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:36.912067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.019279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.170043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites [Hes07] Kathryn Hess.

Internal Algebraic Type Theory [Hes07] Kathryn Hess

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.269364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.642491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.719299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.824661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.889712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.077423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.484327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.430122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.369460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.395112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.312418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.947581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.564270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.123191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:36.988957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:37.238848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T01:26:36.961848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.