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Paper Citation Record · LEDGER

On the Dax invariants of $S^2$-bundles over surfaces

As of 9 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2607.04695.

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

pith.paper-citation-record.v1
2607.04695 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T15:01:10.858733Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

9 of 9 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a7a9d3d2-feaa-4910-b323-969686163f75 · outbound

This paper cites Knotted 3-balls in S^4.

On the Dax invariants of $S^2$-bundles over surfaces Knotted 3-balls in S^4

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:7d92e121e220c5ab63cefbe5a55667154241c214c708bcd8a014850ebb8e9987

Observation a9fab474-cb3e-469e-8c83-94451c63bcfc · outbound

This paper cites ´Etude homotopique des espaces de plongements.Annales Scientifiques De L Ecole Normale Superieure, 5:303–377, 1972.

On the Dax invariants of $S^2$-bundles over surfaces ´Etude homotopique des espaces de plongements.Annales Scientifiques De L Ecole Normale Superieure, 5:303–377, 1972

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:70769ec3bfb28789c6b9cbdf675730bbf288aace64234fcdbba9ad11dbb3ba4d

Observation 01fb49f1-8899-4b9d-a60d-df16d649f2cb · outbound

This paper cites The 4-dimensional light bulb theorem.Journal of the American Mathematical Society, 33(3):609–652, 2020.

On the Dax invariants of $S^2$-bundles over surfaces The 4-dimensional light bulb theorem.Journal of the American Mathematical Society, 33(3):609–652, 2020

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:5e4fe72ba497bebb10a1ca227b1a59fb7a844271dcac44c99a0c79d28b6870b6

Observation 8f7f8b97-19fa-4157-8b26-69e9ba3b3bec · outbound

This paper cites Self-referential discs and the light bulb lemma.Commentarii Mathematici Helvetici, 96(3):483–513, 2021.

On the Dax invariants of $S^2$-bundles over surfaces Self-referential discs and the light bulb lemma.Commentarii Mathematici Helvetici, 96(3):483–513, 2021

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:9e1cd5a0cd473ad38a1d101c6acb23db23e1f18e2faf90cfc09be87de91829e1

Observation 870cb61f-fd86-433b-9d1f-4061282e3f20 · outbound

This paper cites On the mapping class group of nontrivialS 2 fiber bundles.arXiv e-prints, page arXiv:2509.16520, 2025.

On the Dax invariants of $S^2$-bundles over surfaces On the mapping class group of nontrivialS 2 fiber bundles.arXiv e-prints, page arXiv:2509.16520, 2025

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:a9bcaae182ceb16898d73bc70846bc4994008c2816c942d7cdfa6611363cfbcf

Observation 0e31d75f-d118-41a1-8f90-1e7b3113c2ef · outbound

This paper cites On homotopy groups of spaces of embeddings of an arc or a circle: the dax invariant.Transactions of the American Mathematical Society, 377(02):775–805, 2024.

On the Dax invariants of $S^2$-bundles over surfaces On homotopy groups of spaces of embeddings of an arc or a circle: the dax invariant.Transactions of the American Mathematical Society, 377(02):775–805, 2024

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:ddcd2b034cf29f7cc8778fe78f7688ddb8e4d7275ce8a6f8175b2eac69696950

Observation cc06d63d-69d6-4ced-8c73-8cd16904a868 · outbound

This paper cites A new approach to light bulb tricks: Disks in 4- manifolds.Duke Mathematical Journal, 173(4):673 – 721, 2024.

On the Dax invariants of $S^2$-bundles over surfaces A new approach to light bulb tricks: Disks in 4- manifolds.Duke Mathematical Journal, 173(4):673 – 721, 2024

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:0b98d3a0461a5dd2443e540c86097d3a4cd3fa70817cbbbce29f41c01e6ecb82

Observation 0956a14c-d602-466a-aeb3-736394a47667 · outbound

This paper cites Dax invariants, light bulbs, and isotopies of symplectic structures.arXiv e-prints, page arXiv:2501.16083, January 2025.

On the Dax invariants of $S^2$-bundles over surfaces Dax invariants, light bulbs, and isotopies of symplectic structures.arXiv e-prints, page arXiv:2501.16083, January 2025

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:a356534da913587876628d6bceb140f1fb5dd84e6c8e9afb9fe14b55a2fc288e

Observation d28bfb2b-f223-498d-be13-b38b41b0a057 · outbound

This paper cites An Introduction to Geometric Topology.

On the Dax invariants of $S^2$-bundles over surfaces An Introduction to Geometric Topology

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-11T15:01:10.858733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T15:01:10.858733Z digest=sha256:44af874e2914e6bcc9ae0fc1f46869ed6ba0e6bef253fab6a6e3f206699bb402

Pith citing papers

No inbound Pith citation observations are available.