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Paper Citation Record · LEDGER

Nodal Tangles

As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2506.23754.

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

pith.paper-citation-record.v1
2506.23754 v4

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:47:53.729512Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:22:29.071259Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:22:29.091085Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact4
  • verified fuzzy1
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25dc4d8e-cd44-46fb-85eb-92ddb0d7c821 · outbound

This paper cites Displacing Lagrangian toric fibers by extended probes.

Nodal Tangles Displacing Lagrangian toric fibers by extended probes

Reference 1

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:47:55.030391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:47:52.461469Z digest=sha256:4c2bcb0e10421c3ad449b20ef15c2864f4eff95de250b941a8e43c83dcf6d4a7

Observation b66bff81-08c2-44cd-ba45-48c4a493eef7 · outbound

This paper cites Lagrangian tori in a symplectic vector space and global symplectomorphisms.

Nodal Tangles Lagrangian tori in a symplectic vector space and global symplectomorphisms

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:52.791927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:52.791927Z digest=sha256:0ef4cd41609ee7953b4713fa83b05a8de2d0c24156c204fff1ffd5c175cd0d20

Observation 1ffa0aab-7d21-4344-ba1d-9d56aa41bf5f · outbound

This paper cites Hamiltonian pseudo-rotations of projective spaces.

Nodal Tangles Hamiltonian pseudo-rotations of projective spaces

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:52.939061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:52.939061Z digest=sha256:b64b6df8ae50ca2609822b3b571db357368773cb736790ac42edc28277d0f158

Observation ecb3c15e-988b-471f-95a9-ddb10d14335b · outbound

This paper cites On the combinatorics of exact Lagrangian surfaces.

Nodal Tangles On the combinatorics of exact Lagrangian surfaces

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:53.333138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:53.333138Z digest=sha256:59fd322ad977f121bdd90956bd0216ee141913b34824fa4e5a7a27d76b6a3600

Observation 3e09e5cc-504e-4ac4-a0a3-0014f0e6b3ce · outbound

This paper cites Surgery and Invariants of Lagrangian Surfaces.

Nodal Tangles Surgery and Invariants of Lagrangian Surfaces

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:47:54.007888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:47:53.614058Z digest=sha256:ccc67c3678910a771a33adf93b56a0accecb7025a135e91250668914f1150791

Observation 65d4e004-ea52-4450-921e-d4b3996b5794 · outbound

This paper cites Wahl singularities in degenerations of del Pezzo surfaces.

Nodal Tangles Wahl singularities in degenerations of del Pezzo surfaces

Reference 2001

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:53.500707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:53.500707Z digest=sha256:dea7043a97a5a809ff18b8efb153f95a0eabb23460856a1e9dc2d58672e09e85

Observation e4108700-88e8-40cf-bb77-11442c6211ef · outbound

This paper cites Symplectic Torelli groups of rational surfaces.

Nodal Tangles Symplectic Torelli groups of rational surfaces

Reference 2003

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:53.064597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:53.064597Z digest=sha256:4971ff4973337777a8eb2c8aaeb42a8d79d563045ad7ff6b8de95b65703a8fdb

Observation b3b49618-0c73-4de7-8d77-0bab0febae38 · outbound

This paper cites Lagrangian knots and unknots – an essay.

Nodal Tangles Lagrangian knots and unknots – an essay

Reference 2007

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:53.232271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:53.232271Z digest=sha256:bdcf9e498a5f2e7dfbfd771586c0dcbbeb423233679a57be2e671090b7cfb150

Observation 9e80d122-1e86-45a5-8845-b0651285c477 · outbound

This paper cites Symplectic topology of integrable Hamiltonian systems. II: Topological classification.

Nodal Tangles Symplectic topology of integrable Hamiltonian systems. II: Topological classification

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:53.729512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:53.729512Z digest=sha256:94d66c8d629919e454adcf7a4ab9661eaf7f3f90c1b2dc95755f8a927fc48704

Observation e23b0b19-f897-4a16-a2e4-4f38747fc6e8 · outbound

This paper cites Four dimensions from two in symplectic topology.

Nodal Tangles Four dimensions from two in symplectic topology

Reference 2016

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:47:55.195136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:47:53.406021Z digest=sha256:1d8accf80f78732c93cab730383f81dd75185a3cee2f2f1b78416c1ded684ab2

Observation 49be48e4-1fcf-4bb0-9246-158b0a06bfc3 · outbound

This paper cites Singular algebraic curves and infinite symplectic staircases.

Nodal Tangles Singular algebraic curves and infinite symplectic staircases

Reference 2022

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:47:54.347766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:47:53.175359Z digest=sha256:e4e86af50eb24c216c444b8d5233b197feeb239418216ef3964ca42e35367c6b

Observation 2c1fcf6c-31be-40e3-b419-31a72ca5c0d6 · outbound

This paper cites Semi-Local Exotic Lagrangian Tori in Dimension Four.

Nodal Tangles Semi-Local Exotic Lagrangian Tori in Dimension Four

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-06T21:47:52.511120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:47:52.511120Z digest=sha256:bdf2edfc2d19ec1e422170823795b6ccd00f1fca017bf101a80d4e78a711af51

Observation f68d64c4-2c09-43f8-ae0f-4c78124df132 · outbound

This paper cites Lagrangian split tori in $S^2 \times S^2$ and billiards.

Nodal Tangles Lagrangian split tori in $S^2 \times S^2$ and billiards

Reference 2024

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:47:54.808661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:47:52.607500Z digest=sha256:d95d3dbad072d80bec15fb0490ff5130514003934d83ab733361369a52cac725

Observation 45afb6c0-b7db-481a-9ad9-0e01832ff2c1 · outbound

This paper cites A counterexample to Lagrangian Poincar\'e recurrence.

Nodal Tangles A counterexample to Lagrangian Poincar\'e recurrence

Reference 2025

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:47:54.591033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T21:47:52.715535Z digest=sha256:b451e9d7a47aafb653ebc25f903b881c5bdb0e6cc7452d38631d9e217844437f

Pith citing papers

Observation 0117ca3c-d1fa-4687-ab41-36e7fd608beb · inbound

More counterexamples to Lagrangian Poincar\'e recurrence in dimension four cites this paper.

More counterexamples to Lagrangian Poincar\'e recurrence in dimension four Nodal Tangles

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:22:29.094315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:22:29.071259Z digest=sha256:61a4c42187bf1ab46e1a669d181c1a54f9e2674f1da9caeb86240613f9d695d9