Paper Citation Record · LEDGER

Bidirectional Elaborators \`a la Carte

As of 20 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2607.09564.

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

pith.paper-citation-record.v1
2607.09564 v2

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T15:11:21.386241Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T16:20:49.611557Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

verified exact0
verified fuzzy0
unresolved49
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a68aa3c-ca30-4b3e-887f-ba4961f8be0b · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 1

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 062beefb-d5b3-43bd-b226-02a43c3cac99 · outbound

This paper cites Sheaves as oracle computations.

Bidirectional Elaborators \`a la Carte Sheaves as oracle computations

Reference 2

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 7a30ebcf-5263-4133-815f-f1e927037117 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 3

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 c540f9cf-2032-4196-8690-1f1f79d4e1ba · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 4

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 9867f623-4969-45dd-a8f4-d663ee363bd8 · outbound

This paper cites Bicategories of algebras for relative pseudomonads.

Bidirectional Elaborators \`a la Carte Bicategories of algebras for relative pseudomonads

Reference 5

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 4e499f7d-551d-4a7a-a5a8-5bd4e6c0e7c1 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 6

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 6a70e590-c955-4913-85ff-f62feb7542f6 · outbound

This paper cites Natural models of homotopy type theory.

Bidirectional Elaborators \`a la Carte Natural models of homotopy type theory

Reference 7

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 5eca83fc-a426-49b8-af57-396a2764a938 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 8

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 7be01fa5-281d-4742-a441-a90a2df19f92 · outbound

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

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 dcfbfd03-f83c-4eca-a687-117f00f0be9b · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 10

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 4a5e652a-9afb-46c7-969f-1dcf1f05766f · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 11

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 259a4ae4-e796-4fd4-ac1f-201daba8c983 · outbound

This paper cites Canonicity and normalisation for Dependent Type Theory.

Bidirectional Elaborators \`a la Carte Canonicity and normalisation for Dependent Type Theory

Reference 12

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 febe2e17-76ad-4902-9fa8-0a754537461b · outbound

This paper cites 2013.A Cosmology of Datatypes: Reusability and Dependent Types.

Bidirectional Elaborators \`a la Carte 2013.A Cosmology of Datatypes: Reusability and Dependent Types

Reference 13

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 a66546c0-5796-42a5-b98d-6b699b76c85c · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 14

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 4cb2a928-cdad-4666-8072-10669acfae78 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 15

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 44cfab6a-4f74-45d9-88e9-ac6577aad18d · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 16

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 92c0d6af-6bb8-4b5e-ad1c-3fca0ccbeada · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 17

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 8b9afe18-dfe5-4f1b-bdcb-f9dbae45beb3 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 18

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 792deab4-df77-4608-bdf6-148996b8c8ec · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 19

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 1d8e99f6-f8f0-4106-aca5-9affff63abca · outbound

This paper cites 2025.The Lean Language Reference: The Type System.

Bidirectional Elaborators \`a la Carte 2025.The Lean Language Reference: The Type System

Reference 20

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 75fa65a0-f3cd-423f-b1fd-cb97f92a60b2 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 21

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 edca3b34-e2b9-4ea5-8417-cd6beb0c5583 · outbound

This paper cites Syntactic categories for dependent type theory: sketching and adequacy.

Bidirectional Elaborators \`a la Carte Syntactic categories for dependent type theory: sketching and adequacy

Reference 22

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 ff7c6984-f725-4587-a5b5-e52dfe62c890 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 23

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 324c6ecf-53a4-40d7-950a-041fcf10c1ff · outbound

This paper cites 1997.Syntax and Semantics of Dependent Types.

Bidirectional Elaborators \`a la Carte 1997.Syntax and Semantics of Dependent Types

Reference 24

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 7e3ac60b-d22d-4f3b-a8c7-e28521caba1d · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 25

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 3dc50249-2789-467e-b0a7-acbb62729fc2 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 26

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 a70b3bcf-cf41-45b6-bcc9-5056ec05e666 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 27

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 6430ab92-9e9b-4e38-946f-f374ba505daa · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 28

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 0330da6d-2818-42b4-82b8-28714b230777 · outbound

This paper cites Johnstone.

Bidirectional Elaborators \`a la Carte Johnstone

Reference 29

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 7a37fcbd-5477-48cb-9598-03f231f2f69e · outbound

This paper cites Johnstone.

Bidirectional Elaborators \`a la Carte Johnstone

Reference 30

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 1417dbf6-3557-49d0-b100-62bcc0f26abb · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 31

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72c76a0c-6bfc-404d-864c-2db82dbc6236 · outbound

This paper cites 2024.PRINCIPLES.md.

Bidirectional Elaborators \`a la Carte 2024.PRINCIPLES.md

Reference 32

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 2a53c8fb-fbdc-43df-8b93-cacbdff8f236 · outbound

This paper cites 2001.Parsec: Direct Style Monadic Parser Combinators for the Real World.

Bidirectional Elaborators \`a la Carte 2001.Parsec: Direct Style Monadic Parser Combinators for the Real World

Reference 33

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 84976f26-5d70-43ea-948f-4882598762fc · outbound

This paper cites 2003.Call-by-Push-Value: A Functional/Imperative Synthesis.

Bidirectional Elaborators \`a la Carte 2003.Call-by-Push-Value: A Functional/Imperative Synthesis

Reference 34

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 e36a7a24-a2dc-4d7f-8e19-300fd47c9c81 · outbound

This paper cites 1992.Sheaves in geometry and logic: a first introduction to topos theory.

Bidirectional Elaborators \`a la Carte 1992.Sheaves in geometry and logic: a first introduction to topos theory

Reference 35

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 56d1552b-4200-47ef-a24e-9b3a18c02721 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 36

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 d281b4f0-c02a-40b1-8a90-78ba65b70cdf · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 37

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 1580f3ef-11e1-46ee-9d71-d8db0281a0d2 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 38

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 ed18994b-6b20-4ea0-ac03-09ba4b80848b · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 39

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 4b54db62-19ec-4f46-8e68-a74f7dbb110a · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 40

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 a9d98c7a-d56d-41ea-80ec-0ae3104133d5 · outbound

This paper cites Nordström, K.

Bidirectional Elaborators \`a la Carte Nordström, K

Reference 41

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 5064afb3-3e8c-4db6-b13c-84b9cc09ed41 · outbound

This paper cites Pierce and David N.

Bidirectional Elaborators \`a la Carte Pierce and David N

Reference 42

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 cd9f48a2-25cc-403a-b806-20e883d3bec9 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 43

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 2452a8a8-25fc-4ca2-80a2-8be16aee519e · outbound

This paper cites 1986.Continuity and effectiveness in topoi.

Bidirectional Elaborators \`a la Carte 1986.Continuity and effectiveness in topoi

Reference 44

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 521d0ee5-3181-4d87-aec2-d4907ce48092 · outbound

This paper cites Pseudocommutativity and Lax Idempotency for Relative Pseudomonads.

Bidirectional Elaborators \`a la Carte Pseudocommutativity and Lax Idempotency for Relative Pseudomonads

Reference 45

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 825c395a-0a33-4c2a-86b8-e223dc9f134a · outbound

This paper cites 2024.Commutativity of Relative Pseudomonads.

Bidirectional Elaborators \`a la Carte 2024.Commutativity of Relative Pseudomonads

Reference 46

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 68ac738c-8ea6-45b9-bc32-ff1e41231a4c · outbound

This paper cites 2021.First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory.

Bidirectional Elaborators \`a la Carte 2021.First Steps in Synthetic Tait Computability: The Objective Metatheory of Cubical Type Theory

Reference 47

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 ae3b2563-5bcc-4bdf-90ee-7d9cf321edd2 · outbound

This paper cites 2025.Fuss-free universe hierarchies.

Bidirectional Elaborators \`a la Carte 2025.Fuss-free universe hierarchies

Reference 48

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 b66f01cf-0047-4e02-a3c2-18c29b99a8a9 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 49

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 d96311e7-43ab-4200-99ce-29c2e0ef9185 · outbound

This paper cites an unresolved cited work.

Bidirectional Elaborators \`a la Carte Unresolved cited work

Reference 50

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 61d1ada1-7f71-4735-86de-449602c82f71 · outbound

This paper cites 2021.Abstract and Concrete Type Theories.

Bidirectional Elaborators \`a la Carte 2021.Abstract and Concrete Type Theories

Reference 51

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 52e774d2-38a6-4335-830f-5494bc9fb3f0 · inbound

Setoids in Intensional Type Theory cites this paper.

Setoids in Intensional Type Theory Bidirectional Elaborators \`a la Carte

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-30T16:20:49.611557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.