Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T06:00:21.953689Z
Paper Citation Record · LEDGER
On symmetry and exterior problems of knotted handlebodies
As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2506.06713.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T23:03:16.346267Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
32 of 32 outbound references displayed
- verified exact2
- verified fuzzy25
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c82b4193-d029-4ee4-bf42-1d92bc2e1180 · outbound
This paper cites Akbas: A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting, Pacific J.
On symmetry and exterior problems of knotted handlebodies Akbas: A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting, Pacific J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.447423Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e8e079e-1a25-4c29-aa88-ab14f8a81feb · outbound
This paper cites Bellettini, M.
On symmetry and exterior problems of knotted handlebodies Bellettini, M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.431647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b6a24b43-66a0-43eb-a17b-ad7fd6b39168 · outbound
This paper cites Cho: Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two, Proc.
On symmetry and exterior problems of knotted handlebodies Cho: Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two, Proc
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.417756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7c9a783e-4b3c-4a10-af4f-66b569640d92 · outbound
This paper cites an unresolved cited work.
On symmetry and exterior problems of knotted handlebodies Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:22.403096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 267df0ba-2ff9-44a6-b707-12ab0a95d5fc · outbound
This paper cites The Powell Conjecture for the genus-three Heegaard splitting of the $3$-sphere.
On symmetry and exterior problems of knotted handlebodies The Powell Conjecture for the genus-three Heegaard splitting of the $3$-sphere
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:00:22.030944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7c0a9b0c-751e-48b5-96fe-b61457fe9ef3 · outbound
This paper cites Eudave-Mu˜ noz,Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots , in: W.
On symmetry and exterior problems of knotted handlebodies Eudave-Mu˜ noz,Non-hyperbolic manifolds obtained by Dehn surgery on hyperbolic knots , in: W
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.388173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ba79c19a-df4b-44ee-b804-8d6aef06b6ac · outbound
This paper cites Eudave-Munoz: On hyperbolic knots with Seifert fibered Dehn surgeries , Topology Appl.
On symmetry and exterior problems of knotted handlebodies Eudave-Munoz: On hyperbolic knots with Seifert fibered Dehn surgeries , Topology Appl
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.373660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c3c7934d-1eeb-4e8e-a39f-1147fed2adcf · outbound
This paper cites Eudave-Munoz: Knotted handlebodies and half-integral toroidal surgeries., Bol.
On symmetry and exterior problems of knotted handlebodies Eudave-Munoz: Knotted handlebodies and half-integral toroidal surgeries., Bol
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.356889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b7850cfe-43fd-433a-8c41-804d61e439b3 · outbound
This paper cites Farb and D.
On symmetry and exterior problems of knotted handlebodies Farb and D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.341473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 38c3f608-4e6b-48dd-8ab4-11d86fa28519 · outbound
This paper cites Funayoshi, Y.
On symmetry and exterior problems of knotted handlebodies Funayoshi, Y
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.327008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ec3e0e24-1300-49d8-8511-0e2cef1f4e50 · outbound
This paper cites Powell moves and the Goeritz group.
On symmetry and exterior problems of knotted handlebodies Powell moves and the Goeritz group
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T06:00:21.872220Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f8bf625-dc42-4b4e-9d32-d1ecd5d1f9c3 · outbound
This paper cites Goeritz: Die Abbildungen der Brezelfl¨ ache und der Volbrezel vom Gesschlect 2, Abh.
On symmetry and exterior problems of knotted handlebodies Goeritz: Die Abbildungen der Brezelfl¨ ache und der Volbrezel vom Gesschlect 2, Abh
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.311560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 01592f1a-51a3-4409-8d2c-238b639b4fd5 · outbound
This paper cites Gordon, J.
On symmetry and exterior problems of knotted handlebodies Gordon, J
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.296928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 34509d0c-8534-49d0-ba80-29ef91d3a101 · outbound
This paper cites Gordon, J.
On symmetry and exterior problems of knotted handlebodies Gordon, J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.282288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 42265945-9e0e-4761-b7d4-b2915e7e6600 · outbound
This paper cites Gordon, J.
On symmetry and exterior problems of knotted handlebodies Gordon, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.268132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3eb7e20f-3f2d-440e-aee2-51626b481c85 · outbound
This paper cites Ishii, K.
On symmetry and exterior problems of knotted handlebodies Ishii, K
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.253713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 14e4ada3-1590-4aa2-a92e-16ce1e542836 · outbound
This paper cites Kawauchi: A Survey of Knot Theory , Birkh¨ auser Verlag, Basel, (1996).
On symmetry and exterior problems of knotted handlebodies Kawauchi: A Survey of Knot Theory , Birkh¨ auser Verlag, Basel, (1996)
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.239765Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eefa6198-46a9-4feb-906e-4c4329359588 · outbound
This paper cites Koda: Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots , Math.
On symmetry and exterior problems of knotted handlebodies Koda: Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots , Math
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.224823Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1b273620-db47-4b9d-9b1a-26bab03cf0d4 · outbound
This paper cites an unresolved cited work.
On symmetry and exterior problems of knotted handlebodies Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:22.210502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c15aff26-03e9-47b9-b977-9bac01278758 · outbound
This paper cites Essential annuli in genus two handlebody exteriors.
On symmetry and exterior problems of knotted handlebodies Essential annuli in genus two handlebody exteriors
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:00:21.994274Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f3fb0baf-16a5-49b7-944c-8ab7775207e6 · outbound
This paper cites an unresolved cited work.
On symmetry and exterior problems of knotted handlebodies Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:22.196860Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6763a5ca-9202-4861-829b-06c0725f8364 · outbound
This paper cites Motto: Inequivalent genus two handlebodies in S3 with homeomorphic complements , Topology Appl.
On symmetry and exterior problems of knotted handlebodies Motto: Inequivalent genus two handlebodies in S3 with homeomorphic complements , Topology Appl
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.182426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 716c2554-ef81-4dc3-b12c-b42c04316fb0 · outbound
This paper cites Powell: Homeomorphisms of S3 leaving a Heegaard surface invariant , Trans.
On symmetry and exterior problems of knotted handlebodies Powell: Homeomorphisms of S3 leaving a Heegaard surface invariant , Trans
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.168126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dbdcd00e-2c3a-4799-865d-d6468deadf0e · outbound
This paper cites Sakuma: Realization of the symmetry groups of links , In: Transformation groups (ed.
On symmetry and exterior problems of knotted handlebodies Sakuma: Realization of the symmetry groups of links , In: Transformation groups (ed
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.155198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c60b60ab-62bb-4db5-94cf-ae530147f365 · outbound
This paper cites Scharlemann: Automorphisms of the 3-sphere that preserve a genus two Heegaard split- ting, Bol.
On symmetry and exterior problems of knotted handlebodies Scharlemann: Automorphisms of the 3-sphere that preserve a genus two Heegaard split- ting, Bol
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.141662Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 80c20559-32a2-4075-8f6f-f2dee2b5b17c · outbound
This paper cites Suzuki: On surfaces in 3-sphere: prime decompositions , Hokkaido Math.
On symmetry and exterior problems of knotted handlebodies Suzuki: On surfaces in 3-sphere: prime decompositions , Hokkaido Math
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.127235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 45256b46-088b-4546-a218-249fd1b2cd40 · outbound
This paper cites an unresolved cited work.
On symmetry and exterior problems of knotted handlebodies Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:00:22.114210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 36d7f638-0a34-4ffc-83d9-96eec8e135f4 · outbound
This paper cites Tsukui, On a prime surface of genus 2 and homeomorphic splitting of 3-sphere, The Yokohama Math.
On symmetry and exterior problems of knotted handlebodies Tsukui, On a prime surface of genus 2 and homeomorphic splitting of 3-sphere, The Yokohama Math
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.100363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1457c421-cf53-4e12-951c-e857f93ef987 · outbound
This paper cites Wang: Unknotting annuli and handlebody-knot symmetry , Topology Appl.
On symmetry and exterior problems of knotted handlebodies Wang: Unknotting annuli and handlebody-knot symmetry , Topology Appl
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.086439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5b5da09f-7ff4-4329-9182-81df15d2ae95 · outbound
This paper cites Wang: Rigidity and symmetry of cylindrical handlebody-knots , Osaka J.
On symmetry and exterior problems of knotted handlebodies Wang: Rigidity and symmetry of cylindrical handlebody-knots , Osaka J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.073092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1febc7bf-324f-4cfc-abb2-c05c1a0532f6 · outbound
This paper cites Wang: Annulus configuration in handelbody-knot exteriors , Adv.
On symmetry and exterior problems of knotted handlebodies Wang: Annulus configuration in handelbody-knot exteriors , Adv
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.059057Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ecc909c7-7c9c-4df5-a27e-66b146ec1280 · outbound
This paper cites Wang: JSJ decomposition for handlebody-knots , J.
On symmetry and exterior problems of knotted handlebodies Wang: JSJ decomposition for handlebody-knots , J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:00:22.045189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
Observation b2a0a9a2-f9ab-448b-8ef7-0f3ffdf23aca · inbound
Handlebody-knots obtained by tangle replacement cites this paper.
Handlebody-knots obtained by tangle replacement On symmetry and exterior problems of knotted handlebodies
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T23:03:16.346267Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.