Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 3 inbound Pith citation observations for arXiv:2505.10761.

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

pith.paper-citation-record.v1
2505.10761 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:09:58.328839Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T01:26:36.988957Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact2
verified fuzzy15
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6627f992-db2b-4294-bf47-de2355e54225 · outbound

This paper cites H o TTL ean: Formalizing the meta-theory of H o TT in L ean, 2025.

Algebraic Type Theory, Part 1: Martin-L\"of algebras H o TTL ean: Formalizing the meta-theory of H o TT in L ean, 2025

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.674387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 68a13184-a055-4b88-9483-f255fe9bf393 · outbound

This paper cites Kripke-Joyal forcing for type theory and uniform fibrations.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Kripke-Joyal forcing for type theory and uniform fibrations

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T21:09:58.245820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa235b6c-8721-4a77-9f6c-c515686c24a8 · outbound

This paper cites Polynomial universes and dependent types.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Polynomial universes and dependent types

Reference 3

Resolution: verified exact; raw_fallback, observed 2026-08-15T21:09:58.460602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e111351f-965d-4115-abf1-20ecf470501a · outbound

This paper cites Natural models of homotopy type theory.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Natural models of homotopy type theory

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.665011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14465080-feb1-4aa3-a756-9773fdb3c0d3 · outbound

This paper cites On H ofmann- S treicher universes.

Algebraic Type Theory, Part 1: Martin-L\"of algebras On H ofmann- S treicher universes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.654763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 032f2c08-2a24-448e-82b3-b1ec64893d50 · outbound

This paper cites Internal type theory.

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

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.644239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 66bb232e-af90-4ef3-a1e1-9217794d2699 · outbound

This paper cites Discrete generalised polynomial functors.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Discrete generalised polynomial functors

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.633799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4d3763cc-1b38-459d-ab8f-850396a09085 · outbound

This paper cites Polynomial functors and polynomial monads.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Polynomial functors and polynomial monads

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.622401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0b82c879-daed-4544-a2be-b8470d0a5739 · outbound

This paper cites On the interpretation of type theory in locally cartesian closed categories.

Algebraic Type Theory, Part 1: Martin-L\"of algebras On the interpretation of type theory in locally cartesian closed categories

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.611846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8839f626-d15f-49e0-9df1-ac141a2d4938 · outbound

This paper cites Lifting G rothendieck universes.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Lifting G rothendieck universes

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.601224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f388db83-480b-430f-831c-99e50ccc2f01 · outbound

This paper cites The groupoid interpretation of type theory.

Algebraic Type Theory, Part 1: Martin-L\"of algebras The groupoid interpretation of type theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T21:09:58.280490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ed2e59b-3bf9-4716-9196-2c55239461aa · outbound

This paper cites Joyal and I.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Joyal and I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.583986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bb511ae3-5433-4ea7-a19e-cd31ddf92e76 · outbound

This paper cites Johnstone.

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

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.574309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 669b4891-3fda-4832-8cd2-6f371431384e · outbound

This paper cites Notes on Clans and Tribes.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Notes on Clans and Tribes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T21:09:58.291209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10f35d23-568f-4713-8268-2bcee56bec62 · outbound

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

Algebraic Type Theory, Part 1: Martin-L\"of algebras The simplicial model of univalent foundations (after V oevodsky)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.564880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c671af75-d091-4663-aabc-21c13344bd11 · outbound

This paper cites Dependently-Typed Algebraic Theories.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Dependently-Typed Algebraic Theories

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.555287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fbc925e6-e398-45ea-83af-1fc88572ac51 · outbound

This paper cites an unresolved cited work.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:09:58.544414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 55ba2748-3818-4dce-93bb-333aff3aa279 · outbound

This paper cites Lambek and P.J.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Lambek and P.J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.533103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bf85eae4-1ce3-47e0-a0e4-a535f6fc750a · outbound

This paper cites Weak -categories from intensional type theory.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Weak -categories from intensional type theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.522646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1096984-e0bd-4799-8b11-3a72af6c1317 · outbound

This paper cites an unresolved cited work.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:09:58.512066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0a90e08d-e98e-40e4-8894-4fb01bfa33b6 · outbound

This paper cites Polynomial pseudomonads and dependent type theory.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Polynomial pseudomonads and dependent type theory

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:09:58.376088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f4b8517-0187-4467-9034-2a502cf2d6fb · outbound

This paper cites Algebraic models of dependent type theory.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Algebraic models of dependent type theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T21:09:58.319163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db4856c5-9f0a-4f91-a724-5e3fd66b93d5 · outbound

This paper cites an unresolved cited work.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:09:58.501434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f4b84404-259e-4e0e-a0ee-d164bc27d6ed · outbound

This paper cites Practical Foundations of Mathematics.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Practical Foundations of Mathematics

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:09:58.490979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9bbd28e7-9ce6-4995-8ff5-2efddbdc9f6c · outbound

This paper cites Homotopy Type Theory: Univalent Foundations of Mathematics.

Algebraic Type Theory, Part 1: Martin-L\"of algebras Homotopy Type Theory: Univalent Foundations of Mathematics

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T21:09:58.328839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7854471a-1fe8-4b94-b028-8b5860668216 · inbound

Bidirectional Elaborators \`a la Carte cites this paper.

Bidirectional Elaborators \`a la Carte Algebraic Type Theory, Part 1: Martin-L\"of algebras

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T02:07:13.177982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7be01fa5-281d-4742-a441-a90a2df19f92 · inbound

Bidirectional Elaborators \`a la Carte cites this paper.

Bidirectional Elaborators \`a la Carte Algebraic Type Theory, Part 1: Martin-L\"of algebras

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T15:11:21.386241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Internal Algebraic Type Theory cites this paper.

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.