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Paper Citation Record · LEDGER

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2510.08452.

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

pith.paper-citation-record.v1
2510.08452 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:50:40.831096Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4547f4a-e62a-49df-8b16-6dc0125a5365 · outbound

This paper cites 2025.Agda.https://agda.readthedocs.io/.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory 2025.Agda.https://agda.readthedocs.io/

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:39.657427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:39.657427Z digest=sha256:c20042706477136d40d3bc0c0d6cdae0bfa892e5b69a8b5627ca7932f54795ac

Observation c8e0495f-6728-4aad-b85b-4e3e88b12ed7 · outbound

This paper cites an unresolved cited work.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:39.747845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:39.747845Z digest=sha256:235fc12578b6be731903fe39126061646745af4ce18bdee82273df598215e7bb

Observation 9b787f85-824f-4135-be5c-66b820dc2885 · outbound

This paper cites an unresolved cited work.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:39.862018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:39.862018Z digest=sha256:c1f3a17bfcb0bd7eb9d0e976bcee0af94a967469781760407566d0b4f6770644

Observation e0e76bc2-781e-4db7-81cc-b1323d41e641 · outbound

This paper cites an unresolved cited work.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:39.977847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:39.977847Z digest=sha256:69c4f3c1a53b882f6ad3b67abf0a47a900db323366030ce19da2334feeea6838

Observation a43b053c-dcbe-49a0-8070-551818585a6f · outbound

This paper cites 2024.Coq-HoTT — Zigza- gIdentity branch.https://github.com/ThomatoTomato/HoTT/blob/ ZigzagIdentity/theories/PushoutPath/PushoutPath.vAccessed on 2025-13-09.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory 2024.Coq-HoTT — Zigza- gIdentity branch.https://github.com/ThomatoTomato/HoTT/blob/ ZigzagIdentity/theories/PushoutPath/PushoutPath.vAccessed on 2025-13-09

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.085719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.085719Z digest=sha256:a9ec0ce6a684182f6cb099b358d74410bb05bf8df2666b064d47b2a9c7d9e61f

Observation a34ecac4-a462-45cd-a3f0-a90a4687856f · outbound

This paper cites an unresolved cited work.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.206376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.206376Z digest=sha256:7e694791fb2823fd553be5275572dd455f878f0918cd402802816500b780194d

Observation 51c7d11e-27f4-4a52-8f12-d6bb1869ec19 · outbound

This paper cites Classifying Types.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Classifying Types

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.328670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.328670Z digest=sha256:4a423f33719e8cc160ec272c7d51f67f0783499a527e74819116fc51c3a1d6d3

Observation 7b0f49ab-6adb-45f3-855f-0ee3a55bd65b · outbound

This paper cites Introduction to Homotopy Type Theory.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Introduction to Homotopy Type Theory

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.434978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.434978Z digest=sha256:7bd304bac0eb0af50fec657f11eef35bcbc9dd6a4a96ecb13adaa22b375cbe1c

Observation 870f47bf-c694-4c96-9a4e-0727b18979da · outbound

This paper cites 2025.The agda-unimath library.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory 2025.The agda-unimath library

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.507429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.507429Z digest=sha256:0fae8d20a4e43169a6ff4a1bf3d3837d8bfc12cde1a102502ec5dfbd23e50fb4

Observation d0c1bfd6-2ef9-448f-91e3-a68eeb3a0856 · outbound

This paper cites an unresolved cited work.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.562628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.562628Z digest=sha256:3c84d79a407f9e11ae518d5810efba5b77e8491e57f3ef4df5bc17937c58eb86

Observation 656b59c3-e3ac-499b-b79b-61f95bd92193 · outbound

This paper cites 2013.Homotopy Type Theory: Univalent Foundations of Mathematics.https://homotopytypetheory.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory 2013.Homotopy Type Theory: Univalent Foundations of Mathematics.https://homotopytypetheory

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.641756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.641756Z digest=sha256:a79b5c7d3add60c6b32cc1d8d7253f64ccdf2c07932293067ae6d690f610381f

Observation 96c2e360-249c-4f4e-9379-b23ae5ff3b9e · outbound

This paper cites an unresolved cited work.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.693688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.693688Z digest=sha256:0eff216319e9a9008084c2202b9b71f064f5c14a5642675256e487a424b7af31

Observation ca9adc0a-0c1b-4e3f-b118-ae6d995f035b · outbound

This paper cites Path spaces of pushouts.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory Path spaces of pushouts

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.777130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.777130Z digest=sha256:369c9eb360cbb52dd1d321a7e1279f13bfd5ae64667584fac8bb13e2b8ab40b4

Observation 56ae194f-0b21-4bb0-b43c-f27822e3a931 · outbound

This paper cites commuting squares of sections.

Formalization of the zigzag construction of path spaces of pushouts in homotopy type theory commuting squares of sections

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T10:50:40.831096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:50:40.831096Z digest=sha256:6b1ded827b7c1b142ca71dc708591beb367927b36fae468e87dedad5c9f994b3

Pith citing papers

No inbound Pith citation observations are available.