Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:25:47.327689Z
Paper Citation Record · LEDGER
Bordered contact invariants and half Giroux torsion
As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2506.14050.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-14T17:36:43.825975Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-14T17:37:30.706199Z
Reference resolution
32 of 32 outbound references displayed
- verified exact6
- verified fuzzy20
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 79765aa7-f3c0-4401-a07b-d8b11c09385e · outbound
This paper cites Legendrian invariants and half Giroux torsion.
Bordered contact invariants and half Giroux torsion Legendrian invariants and half Giroux torsion
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:25:48.692555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 266ee1ec-1e71-4c47-bbeb-95aa4a3de7b4 · outbound
This paper cites Finitude homotopique et isotopique des structures de contact tendues.
Bordered contact invariants and half Giroux torsion Finitude homotopique et isotopique des structures de contact tendues
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:51.769298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 50b14c0a-6313-4aa4-ae3b-9712217c2698 · outbound
This paper cites Classification of tight contact structures on surgeries on the figure- eight knot.
Bordered contact invariants and half Giroux torsion Classification of tight contact structures on surgeries on the figure- eight knot
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:51.676508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 82ee61b7-cb89-46ce-b733-9abd2b9ced7f · outbound
This paper cites Symplectic fillability of tight contact structures on torus bundles.Algebr.
Bordered contact invariants and half Giroux torsion Symplectic fillability of tight contact structures on torus bundles.Algebr
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:51.525460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f9516eb6-546a-47b2-bdc1-2f349d6fc733 · outbound
This paper cites Strong symplectic fillability of contact torus bundles.
Bordered contact invariants and half Giroux torsion Strong symplectic fillability of contact torus bundles
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:51.394038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7a9d836c-0e4d-4ab2-b891-39cf3f613e59 · outbound
This paper cites Unique holomorphically fillable contact structure on the 3-torus.
Bordered contact invariants and half Giroux torsion Unique holomorphically fillable contact structure on the 3-torus
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:51.238871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 72873af7-ad1f-4d4c-81ce-0c2ef12b8c03 · outbound
This paper cites an unresolved cited work.
Bordered contact invariants and half Giroux torsion Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:25:51.078759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0d299aa6-39e2-462e-af58-6591cf20a565 · outbound
This paper cites Non-loose torus knots.
Bordered contact invariants and half Giroux torsion Non-loose torus knots
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:25:45.247992Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1d4b45b-6a73-40c2-b758-80fb65fd865f · outbound
This paper cites an unresolved cited work.
Bordered contact invariants and half Giroux torsion Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:25:50.944238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9a8c8ae1-bc55-4298-840a-c12cecc59d00 · outbound
This paper cites An introduction to contact topology, volume 109 of Cambridge Studies in Advanced Math- ematics.
Bordered contact invariants and half Giroux torsion An introduction to contact topology, volume 109 of Cambridge Studies in Advanced Math- ematics
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.842826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6b86c8f6-cd31-49d1-8696-4fd9f49c3c19 · outbound
This paper cites Giroux torsion and twisted coefficients.
Bordered contact invariants and half Giroux torsion Giroux torsion and twisted coefficients
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T00:25:45.541200Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29d5485c-05e5-404f-b79f-3d678ac9dcff · outbound
This paper cites The vanishing of the contact invariant in the presence of torsion.
Bordered contact invariants and half Giroux torsion The vanishing of the contact invariant in the presence of torsion
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:25:48.486143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9d41ef73-8118-46d4-82f6-a097d304d39f · outbound
This paper cites Heegaard Floer homology for manifolds with torus boundary: properties and examples.
Bordered contact invariants and half Giroux torsion Heegaard Floer homology for manifolds with torus boundary: properties and examples
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.762659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7d30d41a-c63e-4417-9ae4-30e5f0e51fd1 · outbound
This paper cites Bordered Floer homology for manifolds with torus boundary via immersed curves.
Bordered contact invariants and half Giroux torsion Bordered Floer homology for manifolds with torus boundary via immersed curves
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.530960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1fffbbb2-0355-4390-84df-70b8082dced4 · outbound
This paper cites On the classification of tight contact structures.
Bordered contact invariants and half Giroux torsion On the classification of tight contact structures
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.396108Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 634cb278-05b6-4940-a6b1-5be084df36ff · outbound
This paper cites Kazez, and Gordana Mati´ c.
Bordered contact invariants and half Giroux torsion Kazez, and Gordana Mati´ c
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.292899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ada6a96d-d745-40a5-a1c0-c2f0adceef72 · outbound
This paper cites Filtering the Heegaard Floer contact invariant.
Bordered contact invariants and half Giroux torsion Filtering the Heegaard Floer contact invariant
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.191500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3d8714e7-bc40-4b42-81eb-f053042e2dd0 · outbound
This paper cites Algebraic torsion in contact manifolds.Geom.
Bordered contact invariants and half Giroux torsion Algebraic torsion in contact manifolds.Geom
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:50.035191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 94442acd-4d8d-45db-a900-7de2db4b21df · outbound
This paper cites Ozsvath, and Dylan P.
Bordered contact invariants and half Giroux torsion Ozsvath, and Dylan P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:49.927698Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5c307648-fa09-4007-a4ff-4eaf8f22f2a3 · outbound
This paper cites Stipsicz.
Bordered contact invariants and half Giroux torsion Stipsicz
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:49.824504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3edd7830-de74-47aa-9d9a-6e12235e5a99 · outbound
This paper cites Dehn surgery on the minimally twisted seven-chain link.
Bordered contact invariants and half Giroux torsion Dehn surgery on the minimally twisted seven-chain link
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:49.717510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 65964010-396c-4ba4-878f-5d96eccb4c93 · outbound
This paper cites an unresolved cited work.
Bordered contact invariants and half Giroux torsion Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T00:25:49.586889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1e4ed9b8-702d-4ccb-b32f-7f828ae6fd32 · outbound
This paper cites Tight contact structures on a family of hyperbolic L-spaces.
Bordered contact invariants and half Giroux torsion Tight contact structures on a family of hyperbolic L-spaces
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:25:48.312743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2ae1fae6-a8c3-4a08-a811-38372be502e6 · outbound
This paper cites Spinal open books and symplectic fillings with exotic fibers,.
Bordered contact invariants and half Giroux torsion Spinal open books and symplectic fillings with exotic fibers,
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:49.495382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fc0bd9c2-f4bd-4058-b843-15b892ce50a5 · outbound
This paper cites On contact invariants in bordered Floer homology.
Bordered contact invariants and half Giroux torsion On contact invariants in bordered Floer homology
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:25:47.970092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fbd15c5d-fce7-452c-986e-ea82806d2670 · outbound
This paper cites Contact structures, sutured polytopes and knot floer ho- mology in the next-to-top grading, In preparation.
Bordered contact invariants and half Giroux torsion Contact structures, sutured polytopes and knot floer ho- mology in the next-to-top grading, In preparation
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:49.341266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7bc656d7-37c4-4d4b-9c53-4e1b89e26715 · outbound
This paper cites On knot Floer homology and lens space surgeries.
Bordered contact invariants and half Giroux torsion On knot Floer homology and lens space surgeries
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:49.174890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c473af14-5a00-4bdc-9e88-91e00d186201 · outbound
This paper cites Classification of tight contact structures on some Seifert fibered manifolds: I.
Bordered contact invariants and half Giroux torsion Classification of tight contact structures on some Seifert fibered manifolds: I
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T00:25:47.799094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d68f2b7d-0df1-4ce2-8dfe-e56848fcb15a · outbound
This paper cites Tight contact structures on toroidal plumbed 3-manifolds, 2024.
Bordered contact invariants and half Giroux torsion Tight contact structures on toroidal plumbed 3-manifolds, 2024
Reference 29
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T00:25:47.618606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 33bddd8d-3a77-452b-8bef-39b3d79958f0 · outbound
This paper cites Heegaard Floer homology and chirally cosmetic surgeries.
Bordered contact invariants and half Giroux torsion Heegaard Floer homology and chirally cosmetic surgeries
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:48.999065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8fde50d3-2978-463b-9b58-81b94a0ba4f4 · outbound
This paper cites Strongly fillable contact manifolds and J-holomorphic foliations.
Bordered contact invariants and half Giroux torsion Strongly fillable contact manifolds and J-holomorphic foliations
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T00:25:48.856422Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a0110249-962d-4e36-ad0e-f7b7ba25f1b6 · outbound
This paper cites Spinal open books and symplectic fillings with exotic fibers.
Bordered contact invariants and half Giroux torsion Spinal open books and symplectic fillings with exotic fibers
Reference 2024
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T00:25:48.139069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation b0fbf4eb-33ba-4c68-ab09-debe8405180f · inbound
Brieskorn spheres and rational homology ball symplectic fillings cites this paper.
Brieskorn spheres and rational homology ball symplectic fillings Bordered contact invariants and half Giroux torsion
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T17:37:30.710035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.