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Paper Citation Record · LEDGER

Lectures on open book decompositions and contact structures

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:math/0409402.

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

pith.paper-citation-record.v1
math/0409402 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:25:55.911848Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-05-19T03:57:02.967260Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 834eea48-f48b-47c8-bd1a-de362372ff45 · inbound

Boundary framings for locally conformally symplectic four-manifolds cites this paper.

Boundary framings for locally conformally symplectic four-manifolds Lectures on open book decompositions and contact structures

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-08T17:17:06.677527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T17:17:06.677527Z digest=sha256:44f8b8bda97fa40bfc8be52b0bfeb21a17420f4ce4ebfdc5b586794a56656fcb

Observation 70c4d7af-7834-4aab-91ca-7582ff4b8ec5 · inbound

Implicit representations of codimension-2 submanifolds and their prequantum structure cites this paper.

Implicit representations of codimension-2 submanifolds and their prequantum structure Lectures on open book decompositions and contact structures

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-05-19T03:57:02.969948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-05-19T03:55:47.215588Z digest=sha256:3c8f2e72131b2ab4070addcbf63c671a5ad745eaa012538c3e7fe5cfc04efce5

Observation 09b33ae4-8daf-4d96-a46e-aeaffc0544e1 · inbound

Twist maps and codimension-1 spun embeddings cites this paper.

Twist maps and codimension-1 spun embeddings Lectures on open book decompositions and contact structures

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T16:45:04.589701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:45:04.589701Z digest=sha256:f722f3d2567d9cdc121b2fb3bd4f369e157747e3742d956e78742553feaab8de

Observation 5e77bc05-f884-42b6-a9bc-c6681cea9b3b · inbound

Fractional Dehn twist coefficients and rank bounds for categorified link invariants cites this paper.

Fractional Dehn twist coefficients and rank bounds for categorified link invariants Lectures on open book decompositions and contact structures

Reference 150

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:57.558293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:51:57.558293Z digest=sha256:2f35f6b7b91891951118c8206119bc304012a140b89bcb5ade3433a0d51462d3

Observation c19e8c96-75b9-47ae-9e33-ba5d1d562a1c · inbound

A non-orderable overtwisted contact structure on the sphere cites this paper.

A non-orderable overtwisted contact structure on the sphere Lectures on open book decompositions and contact structures

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T00:25:55.911848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T00:25:55.911848Z digest=sha256:2e30fc61a26646074866f3fa2e889e303693a04d9521f8631da66f9e6d19cab8