Paper Citation Record · LEDGER

Bordered contact invariants and half Giroux torsion

As of 18 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.

pith.paper-citation-record.v1
2506.14050 v4

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:25:47.327689Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-14T17:36:43.825975Z

measured 0 of 1 external citation measurements

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.