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Paper Citation Record · LEDGER

Bordered Legendrian Rational Symplectic Field Theory

As of 17 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2509.07921.

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

pith.paper-citation-record.v1
2509.07921 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:15:10.123506Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

12 of 12 outbound references displayed

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  • verified fuzzy10
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 28430ed9-8678-429e-8063-32b76485c8e6 · outbound

This paper cites Effect of Legendrian surgery.

Bordered Legendrian Rational Symplectic Field Theory Effect of Legendrian surgery

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.364554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.065299Z digest=sha256:9038153548d9b93d5d4728f4669ff201a8d28bdde7ab3fe8d0198b32db4ce535

Observation 419e506d-4833-4775-ab6b-2482718ccc6e · outbound

This paper cites String Topology.

Bordered Legendrian Rational Symplectic Field Theory String Topology

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T16:15:10.070938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:15:10.070938Z digest=sha256:b7dce965325944baf5c7e3e225889d333968cb18555ed5699cb7cd65d4e18f40

Observation 2a1f19ab-093f-4036-aff2-5fadf2824949 · outbound

This paper cites Differential algebra of Legendrian links.Inventiones mathematicae, 150(3):441–483, 2002.

Bordered Legendrian Rational Symplectic Field Theory Differential algebra of Legendrian links.Inventiones mathematicae, 150(3):441–483, 2002

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.348497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.076467Z digest=sha256:92578414777f426a636a870f0837d164d43045e553165793746517b4d6b66412

Observation 4206eec0-5880-4cb6-b88d-4a3cb308745a · outbound

This paper cites The role of string topology in symplectic field theory.

Bordered Legendrian Rational Symplectic Field Theory The role of string topology in symplectic field theory

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.331507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.081625Z digest=sha256:9651c356e47e547e54f0029ce0addd4796ace4ea285e465a2df700b350d1ec72

Observation b4749599-294f-4de3-aa29-51030f31373e · outbound

This paper cites Introduction to Symplectic Field Theory.

Bordered Legendrian Rational Symplectic Field Theory Introduction to Symplectic Field Theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.315037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.087449Z digest=sha256:ae4b4f8a29e08ce00ed650ed33be23a8e0e1489e0c561d0a83193dfd3a139ef2

Observation fb62066b-47ea-4e30-97fa-9492e1c50d59 · outbound

This paper cites Legendrian contact homology inR 3.Surveys in Differential Geometry, 25(1):103–161, 2022.

Bordered Legendrian Rational Symplectic Field Theory Legendrian contact homology inR 3.Surveys in Differential Geometry, 25(1):103–161, 2022

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.297885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.092725Z digest=sha256:f46285dcc6925894aec719db1a0070e2e2d2f3542c2ae20eb75acbef4278cab9

Observation 8102db6f-9839-443a-9e20-b03dc3d896dc · outbound

This paper cites Bordered Heegaard Floer homology.

Bordered Legendrian Rational Symplectic Field Theory Bordered Heegaard Floer homology

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.278709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.098403Z digest=sha256:d74ddbbf35e691d1a5ed105d5a841e18d332ec1dd7bedc7b9d21652f04c89452

Observation 4694d938-563a-4d2c-aec6-b9e21cf0c972 · outbound

This paper cites Computable Legendrian invariants.Topology, 42(1):55–82, 2003.

Bordered Legendrian Rational Symplectic Field Theory Computable Legendrian invariants.Topology, 42(1):55–82, 2003

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.261290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.103441Z digest=sha256:098f8618d0f1a7ede48243a469a04952dbf1feb2cb96543a946e447d84e1e776

Observation 70ac3d53-afe6-46b5-9023-f0233df331c3 · outbound

This paper cites Rational symplectic field theory for Legendrian knots.Inventiones mathemati- cae, 182(3):451–512, 2010.

Bordered Legendrian Rational Symplectic Field Theory Rational symplectic field theory for Legendrian knots.Inventiones mathemati- cae, 182(3):451–512, 2010

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.243813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.108368Z digest=sha256:92c6a7e5c525a9a6cb1096b177e3c2434e9176694e0f3c8abeab4d080b560ce0

Observation 1e9f5d2a-b8b5-49a1-b4f7-a24893709ade · outbound

This paper cites An L-infinity structure for Legendrian contact homology.

Bordered Legendrian Rational Symplectic Field Theory An L-infinity structure for Legendrian contact homology

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:15:10.168888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.113407Z digest=sha256:478fa2b3160149a06adf2a5815e3af5e266cb7e5f3124b5e5ececb5273a877bd

Observation cb0ba52c-4d32-4c19-8c0b-ebe1805e3238 · outbound

This paper cites A bordered Chekanov–Eliashberg algebra.Journal of Topology, 4(1):73–104, 2011.

Bordered Legendrian Rational Symplectic Field Theory A bordered Chekanov–Eliashberg algebra.Journal of Topology, 4(1):73–104, 2011

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.226486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.118741Z digest=sha256:bf211fd5ab9778db4f68b589b83674ab6ada5a4735eac94df28cb8bec842d8f9

Observation 38e23694-d921-45fa-81c7-dbc7a709d02f · outbound

This paper cites On the isotopy of Legendrian knots.Annals of Global Analysis and Ge- ometry, 10(3):195–207, 1992.

Bordered Legendrian Rational Symplectic Field Theory On the isotopy of Legendrian knots.Annals of Global Analysis and Ge- ometry, 10(3):195–207, 1992

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:15:10.205332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:15:10.123506Z digest=sha256:c54a0740267638ebbf7ca7f12aa7686dac9879cd5e957742e3fb9639937167eb

Pith citing papers

No inbound Pith citation observations are available.