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Paper Citation Record · LEDGER

Legendrian doubles, twist spuns, and clusters

As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2505.17901.

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

pith.paper-citation-record.v1
2505.17901 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:47:25.159216Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T01:58:10.522362Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T02:00:55.062832Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact4
  • verified fuzzy41
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ad10e8f-c880-4e7d-b299-5a1088629bd1 · outbound

This paper cites Lagrangian fillings for Legendrian links of finite type.

Legendrian doubles, twist spuns, and clusters Lagrangian fillings for Legendrian links of finite type

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:47:26.195435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:18.636735Z digest=sha256:66397f23e7f5eee7828534a88936d5e9beeb2949c6b06122c92df84509b654c1

Observation a26f3fc8-3506-4419-afd6-37cc0b6fd4c2 · outbound

This paper cites an unresolved cited work.

Legendrian doubles, twist spuns, and clusters Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:47:37.204170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:18.748135Z digest=sha256:73446222a1fa34b7bfac09591ab9b8a2feacc73bb516bbe9d8235b0dae1ba5c5

Observation 5f3db144-8499-480a-b69a-87ad1d518535 · outbound

This paper cites L agrangian skeleta and plane curve singularities.

Legendrian doubles, twist spuns, and clusters L agrangian skeleta and plane curve singularities

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:36.948867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:18.879532Z digest=sha256:7990bd441cf0eabcf79e28a8d637ec1bb06722de35f012bfc3c734133332639c

Observation 37aeb24b-48eb-40d3-9b2f-9931e70c5a92 · outbound

This paper cites Lagrangian fillings and complicated Legendrian unknots.

Legendrian doubles, twist spuns, and clusters Lagrangian fillings and complicated Legendrian unknots

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:47:26.031121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.002331Z digest=sha256:cb397a2df5e20498e9c58ee831363b868f739ffa55646565e57f9a0593bcec96

Observation 32272c04-de45-4b9c-86f1-7e72a33b4731 · outbound

This paper cites Infinitely many L agrangian fillings.

Legendrian doubles, twist spuns, and clusters Infinitely many L agrangian fillings

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:36.729042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.134330Z digest=sha256:5023315f73b49c04373bf4a1f3f44f64a2a39c38b8dfb6e4f03a2187743cbc4f

Observation 1d6bcd23-61fe-444c-9e2f-2f5179d39501 · outbound

This paper cites A L agrangian filling for every cluster seed.

Legendrian doubles, twist spuns, and clusters A L agrangian filling for every cluster seed

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:36.484629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.312624Z digest=sha256:2d3a8e73fcf845b1e916fe2e7386261002dc8c0894b71da068c79a34975b6714

Observation b2c71bb1-c5e7-4bd8-a9de-941169094c11 · outbound

This paper cites Cluster structures on braid varieties.

Legendrian doubles, twist spuns, and clusters Cluster structures on braid varieties

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:36.244317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.440431Z digest=sha256:6d1bb7d030fef5b3b0428c458e3f9bb042bbf8ec79e09e52f3ab2bd00c81cedd

Observation b86b4671-8b07-4b2c-9a87-bfcf02cc4fdc · outbound

This paper cites Algebraic weaves and braid varieties.

Legendrian doubles, twist spuns, and clusters Algebraic weaves and braid varieties

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:35.975361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.620702Z digest=sha256:e579254e5a53ea96f4854a23ea862b4bf1ae37fed693cd9c5aef7e6823bf57cb

Observation 171ada7b-6be0-44b3-80ed-8492a8d178bd · outbound

This paper cites Bohr-Sommerfeld profile surgeries and Disk Potentials.

Legendrian doubles, twist spuns, and clusters Bohr-Sommerfeld profile surgeries and Disk Potentials

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T14:47:19.751461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:47:19.751461Z digest=sha256:4f839c18e4b8c2021c1739c45146fbea762f0626c916c769774388e73b680b44

Observation 7166f129-8ad8-4b83-a63f-48d6a941f16e · outbound

This paper cites Infinitely many exotic L agrangian tori in higher projective spaces.

Legendrian doubles, twist spuns, and clusters Infinitely many exotic L agrangian tori in higher projective spaces

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:35.615069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.896888Z digest=sha256:62f91c2515df83c10cac28cc0751dd4e591bd2b24caed3a6be975b88bd37e6e4

Observation 716705fe-ec03-4122-8a05-d2b54497e80b · outbound

This paper cites Conjugate fillings and L egendrian weaves, 2022.

Legendrian doubles, twist spuns, and clusters Conjugate fillings and L egendrian weaves, 2022

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:35.371279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.141289Z digest=sha256:e41bcb6e87c328e1ae1a04135fc9852bf550e5c73e08a8256e52843b25119639

Observation 06f23992-f982-4866-b567-790ecda79518 · outbound

This paper cites Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas).

Legendrian doubles, twist spuns, and clusters Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas)

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T14:47:20.284292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:47:20.284292Z digest=sha256:40c402540cf7d21b708ffe81f5a6ba878f61ac53e3bc873990ba7a636057c2c0

Observation cd5795a4-50a2-4a8d-8d66-c2b5d3340d39 · outbound

This paper cites Differential algebra of cubic planar graphs.

Legendrian doubles, twist spuns, and clusters Differential algebra of cubic planar graphs

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:35.107602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.496619Z digest=sha256:c29fc7e5b392a14a2a701ecedc1e2ec970c9f1d2e1ab077bbf434ee9d6d58433

Observation 7727064c-ea9b-457e-8143-48ec4a9b7988 · outbound

This paper cites L egendrian fronts for affine varieties.

Legendrian doubles, twist spuns, and clusters L egendrian fronts for affine varieties

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:34.808277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.660755Z digest=sha256:069e3b8002dd5aa1f2f173f7192ebc1192ae0502d9091f1391964c8d69cba418

Observation 93d61f7c-45ee-4a38-ac04-4f29e2b17633 · outbound

This paper cites Braid loops with infinite monodromy on the L egendrian contact DGA.

Legendrian doubles, twist spuns, and clusters Braid loops with infinite monodromy on the L egendrian contact DGA

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:34.535442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.751467Z digest=sha256:e518ac5797fee18366a0619455f8772b47195676e822852cea3da36d59163c92

Observation 2f7a53cc-0cee-4d51-a4ce-b3990de58148 · outbound

This paper cites On N ewton polytopes of L agrangian augmentations.

Legendrian doubles, twist spuns, and clusters On N ewton polytopes of L agrangian augmentations

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:34.330968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.895867Z digest=sha256:f22285290a29b1e682b52b089a8a8f579316ac0e73a52b0d9a38995c187f3e3f

Observation 903426e5-1b2b-4e90-adab-9eba2899fe50 · outbound

This paper cites Microlocal theory of L egendrian links and cluster algebras.

Legendrian doubles, twist spuns, and clusters Microlocal theory of L egendrian links and cluster algebras

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:34.086869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.997130Z digest=sha256:ea73985f8359bd16ad5d7650606a341507fcd12a42666ab28f205dda61778b4f

Observation 67690d16-5861-4ddb-8918-9f76c5be3f50 · outbound

This paper cites Legendrian weaves: N -graph calculus, flag moduli and applications.

Legendrian doubles, twist spuns, and clusters Legendrian weaves: N -graph calculus, flag moduli and applications

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:33.781065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.109968Z digest=sha256:2d408ddfc6b58c6f2417a452bf50d7a3ff29b21b66d558bf42dabd5ebe18c833

Observation 1e99ff4c-838e-41ea-b54f-686a577382c4 · outbound

This paper cites On L egendrian products and twist spuns.

Legendrian doubles, twist spuns, and clusters On L egendrian products and twist spuns

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:33.486930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.178557Z digest=sha256:0b62aa1501b46e42a38f5f91829f1e0d01e35c6b6c77c995441fd50091868dd5

Observation f7945678-5ec5-4ae3-bf74-4b32e1b64e29 · outbound

This paper cites Non-isotopic L egendrian submanifolds in R 2n+1.

Legendrian doubles, twist spuns, and clusters Non-isotopic L egendrian submanifolds in R 2n+1

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:33.238730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.352977Z digest=sha256:28d4b26684e298738383c9288bb221cb809356d0423b0ef1a812da82083722ad

Observation a7378883-7f7d-4837-a45f-a5884c543fb8 · outbound

This paper cites Isotopies of L egendrian 1-knots and L egendrian 2-tori.

Legendrian doubles, twist spuns, and clusters Isotopies of L egendrian 1-knots and L egendrian 2-tori

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:33.014977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.472804Z digest=sha256:e40a90c0a90f759a89ab5ffa1470f4d39c47879f185d9f9828a08376cedcfd68

Observation 7fcced02-1f9b-40d6-95f4-69f534d51b42 · outbound

This paper cites Non-loose L egendrian spheres with trivial contact homology dga.

Legendrian doubles, twist spuns, and clusters Non-loose L egendrian spheres with trivial contact homology dga

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:32.789064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.566295Z digest=sha256:192a108ac6038bf7fd43a1a2abc1fc37e1c3c2572d29cf2d0a6efff9eec36708

Observation a3bec4ec-2835-4766-abed-6be852a7b8ef · outbound

This paper cites Brick manifolds and toric varieties of brick polytopes.

Legendrian doubles, twist spuns, and clusters Brick manifolds and toric varieties of brick polytopes

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:32.550274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.687232Z digest=sha256:f654375ec4e703c0ec54797223549a58ceebcfec81e4f91e284b873aaa341445

Observation b4b2c66c-2a50-48a3-a6b5-e49b2a995156 · outbound

This paper cites Braid group symmetries of G rassmannian cluster algebras.

Legendrian doubles, twist spuns, and clusters Braid group symmetries of G rassmannian cluster algebras

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:32.290341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.796543Z digest=sha256:5e50708b1dff388cc111aa52bee509c0851154a353b3a72ddbf4f8b218ca76cd

Observation e29ae2f2-c0b1-4de0-906b-d0bca605b147 · outbound

This paper cites Cyclic symmetry loci in G rassmannians, 2020.

Legendrian doubles, twist spuns, and clusters Cyclic symmetry loci in G rassmannians, 2020

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:32.060551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.887016Z digest=sha256:b829a072e1a3a599b996a819b52eed80f5f4b9d2c8fcf902e89aba05a051326a

Observation 2a85edca-863d-4837-8323-432ba822f865 · outbound

This paper cites Introduction to Cluster Algebras. Chapters 1-3.

Legendrian doubles, twist spuns, and clusters Introduction to Cluster Algebras. Chapters 1-3

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T14:47:21.984849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:47:21.984849Z digest=sha256:c765bda6574263fdcab3120abdb1e1bf4a95035825f3e304102a6b0ad79f9b48

Observation 55a8d63d-7811-4725-a792-edc1bfe5faf6 · outbound

This paper cites Introduction to Cluster Algebras. Chapters 4-5.

Legendrian doubles, twist spuns, and clusters Introduction to Cluster Algebras. Chapters 4-5

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T14:47:22.057021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:47:22.057021Z digest=sha256:6e1b2785ef96a64286f82c0ee53d1c7b70c2340f4f1c7c2b7bb90b16603a8793

Observation d925ba77-72dd-4381-bca8-897efa7dbc78 · outbound

This paper cites An introduction to contact topology , volume 109 of Cambridge Studies in Advanced Mathematics.

Legendrian doubles, twist spuns, and clusters An introduction to contact topology , volume 109 of Cambridge Studies in Advanced Mathematics

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:31.877379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.192434Z digest=sha256:1dc96561101432c8f68331fa19ec44a2acbce3bfbdb9bb02f69dc53a140b6341

Observation 16b55648-5018-4450-806d-91294ea2ad3a · outbound

This paper cites Birational geometry of cluster algebras.

Legendrian doubles, twist spuns, and clusters Birational geometry of cluster algebras

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:31.621254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.301780Z digest=sha256:a65bbf60db29dd6ca3dbff15d8f5daa54a04c837196d403aabe8301a3d8ccbb2

Observation b5662494-c4ad-4ee6-b1b4-e76b69d77338 · outbound

This paper cites Sheaf quantization of H amiltonian isotopies and applications to nondisplaceability problems.

Legendrian doubles, twist spuns, and clusters Sheaf quantization of H amiltonian isotopies and applications to nondisplaceability problems

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:31.349408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.373407Z digest=sha256:eb3412f8169fae989d78d8fd44754b1f014eb0e7d975f9426f28c5435bb821c6

Observation 8dc80b8e-1ebb-4d6d-812e-1118a8932405 · outbound

This paper cites A note on the infinite number of exact L agrangian fillings for spherical spuns.

Legendrian doubles, twist spuns, and clusters A note on the infinite number of exact L agrangian fillings for spherical spuns

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:31.048784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.456680Z digest=sha256:be906fe9b551f5f38e0c94aceb0bc9bb9e19d83b754f725951b4952f2b95547e

Observation 54735ac0-30c8-470d-9920-a04d9e6883df · outbound

This paper cites Augmentations, fillings, and clusters.

Legendrian doubles, twist spuns, and clusters Augmentations, fillings, and clusters

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:30.760386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.525247Z digest=sha256:554972814a340259eed02f36f85a361c3f905e7ff554b844518f01a58778ea15

Observation 494148de-c082-404b-9988-fc827758a34e · outbound

This paper cites Lagrangian fillings in A -type and their K \'alm\'an loop orbits.

Legendrian doubles, twist spuns, and clusters Lagrangian fillings in A -type and their K \'alm\'an loop orbits

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:30.484991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.628488Z digest=sha256:c1400371300bc08d2b58c71ada31bc064d682546da4c50caebda4e6c9f44b524

Observation c79ea717-1fda-4203-a74c-d5957779470e · outbound

This paper cites Legendrian loops and cluster modular groups.

Legendrian doubles, twist spuns, and clusters Legendrian loops and cluster modular groups

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:47:25.738760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.742512Z digest=sha256:1e0bf6c2bcbbefb3d0e65ef73065e0b7939d7767038164f8b6364212633c220c

Observation 07bd8722-6c1a-486e-a2c4-b02235ad893a · outbound

This paper cites Brane structures in microlocal sheaf theory.

Legendrian doubles, twist spuns, and clusters Brane structures in microlocal sheaf theory

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:30.247466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.888872Z digest=sha256:35905ad2d1df0a5820103097f0db2610d1cf716624b49ef1ec843f775cdad7e4

Observation 3b882617-6cfe-46ae-9931-2cc2bbb560be · outbound

This paper cites Contact homology and one parameter families of L egendrian knots.

Legendrian doubles, twist spuns, and clusters Contact homology and one parameter families of L egendrian knots

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:30.008679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.965102Z digest=sha256:81c996fe693355e128c80a766f5dff1e178a40054fa2041b5b8023d7641180d6

Observation 8276f7cc-f629-4a31-beb4-d9307e622487 · outbound

This paper cites an unresolved cited work.

Legendrian doubles, twist spuns, and clusters Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:47:29.678324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.085827Z digest=sha256:813e35873a01407817a193cb6945ea86fcebb0cf2b58dab4a47d268d01af43e1

Observation ff94502c-dfe5-42f9-bd38-1eb7b2d9639b · outbound

This paper cites Kauffman.

Legendrian doubles, twist spuns, and clusters Kauffman

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:29.418907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.206531Z digest=sha256:509f77f87db0864f5417c6a223765c1ad744326b7010ef6eeffc90e5f47cbef6

Observation 976432d4-b051-466e-b1f5-387a6f291138 · outbound

This paper cites Microlocal study of sheaves.

Legendrian doubles, twist spuns, and clusters Microlocal study of sheaves

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:29.165763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.317141Z digest=sha256:6277bbbcfa317ca49cc98645c0b7d3c6974a7478b12b5bea5fd9e8f280cbb64e

Observation ccb789b2-bb8a-4a2e-9f8f-5b73c3e5f832 · outbound

This paper cites Lagrangian cobordism functor in microlocal sheaf theory ii.

Legendrian doubles, twist spuns, and clusters Lagrangian cobordism functor in microlocal sheaf theory ii

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:28.929082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.425810Z digest=sha256:1cf203897cc63cdd77e4f02adb58a839b9646a9c603e8747aa7872518c986f2e

Observation 3ffedbcb-7bbb-4acb-b23b-ee24ef7c3366 · outbound

This paper cites an unresolved cited work.

Legendrian doubles, twist spuns, and clusters Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:47:28.685038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.546946Z digest=sha256:d13c6f2422910643d18c62bdfc9740ea99edc9497bd078af08a0d5c67796f0e0

Observation 54998fed-a6bb-473c-901f-64f6dda71c5e · outbound

This paper cites An L -infinity structure for L egendrian contact homology, 2023.

Legendrian doubles, twist spuns, and clusters An L -infinity structure for L egendrian contact homology, 2023

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:28.462358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.658313Z digest=sha256:13c0b7422005c2d5cd8b943d4dd97656f8c73917fc377ade7a9a6533adcf5615

Observation 8840aa68-5fbe-409a-86ef-41097e738611 · outbound

This paper cites Constructible sheaves and the F ukaya category.

Legendrian doubles, twist spuns, and clusters Constructible sheaves and the F ukaya category

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:28.238474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.755980Z digest=sha256:02cfec4bdacb15fd1b8d145a404d3c2148167119935571f0e15b31654d399d5e

Observation 6d08df74-a828-4a03-a258-0c870121d2ff · outbound

This paper cites Exact L agrangian fillings of L egendrian (2,n) torus links.

Legendrian doubles, twist spuns, and clusters Exact L agrangian fillings of L egendrian (2,n) torus links

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:27.954225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.852938Z digest=sha256:20868556d8e95be629426c44eca0ac3ffd69fc8241053e38d252fbcccc6a77de

Observation cbb4a704-da33-4eb2-854e-f19fda4eaa4f · outbound

This paper cites The diameter of associahedra.

Legendrian doubles, twist spuns, and clusters The diameter of associahedra

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:27.779656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.984031Z digest=sha256:680beb26c03d00b862fa9c1b05a14cdea882d229bcdfaec823abee27ebcbe9db

Observation 5aa2dc94-da69-449f-af2e-0422fc2e9fe7 · outbound

This paper cites The wall-crossing formula and L agrangian mutations.

Legendrian doubles, twist spuns, and clusters The wall-crossing formula and L agrangian mutations

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:27.583907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.139644Z digest=sha256:0b1adc0442d9431880e49e087266ecebb6cd3c66afa389b3febf304967d51c4b

Observation 43197db1-dea1-49cc-af48-d92071940ef9 · outbound

This paper cites Skein valued cluster transformation in enumerative geometry of Legendrian mutation.

Legendrian doubles, twist spuns, and clusters Skein valued cluster transformation in enumerative geometry of Legendrian mutation

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:47:25.460748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.295882Z digest=sha256:bbe67d9bebb53b9de6a90e5cc34eb89e3161ec3e39ab4001534d0885bb300384

Observation 1b50179d-37a2-4d55-862a-f81fa230fc9c · outbound

This paper cites The chromatic L agrangian: wavefunctions and open G romov- W itten conjectures.

Legendrian doubles, twist spuns, and clusters The chromatic L agrangian: wavefunctions and open G romov- W itten conjectures

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:27.366993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.446298Z digest=sha256:f8c2163c54ada24850d802db10e429fa0f7da6d6310f25daf1ddaed662d42be0

Observation dbde810d-2bc2-4a05-9ae7-f32369167f7f · outbound

This paper cites Sleator, Robert E.

Legendrian doubles, twist spuns, and clusters Sleator, Robert E

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:27.164938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.593978Z digest=sha256:aaed4d3597a6d1e1a7f84b3677b6cb82317762283cd4e477f9cce6269a15b1f6

Observation df8983bb-0412-4c64-89d9-5841af897335 · outbound

This paper cites S age M ath, the S age M athematics S oftware S ystem , 2022.

Legendrian doubles, twist spuns, and clusters S age M ath, the S age M athematics S oftware S ystem , 2022

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T14:47:24.738248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T14:47:24.738248Z digest=sha256:45614ba69b73f6d39dd5f77d628ded17a4ea8557dc3852ff17bf3310f29eb377

Observation 54fa973e-1b87-4fb8-81c8-a6fc59201a6c · outbound

This paper cites Cubic planar graphs and L egendrian surface theory.

Legendrian doubles, twist spuns, and clusters Cubic planar graphs and L egendrian surface theory

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:26.961201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.874050Z digest=sha256:ca6bdb86db509b8b7f25857d7b59d6888032210086cc8f06323cd89e99d741eb

Observation ea733f18-bb0f-4d10-ae0c-63c429d18db1 · outbound

This paper cites A theorem on graphs.

Legendrian doubles, twist spuns, and clusters A theorem on graphs

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:26.717433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.988710Z digest=sha256:5b20ae15dea371d32108b9e99abb91c7721a4b15af48caf87fd9ac7cf752780d

Observation 3dd20b61-58cc-4379-b3da-f2fee29612db · outbound

This paper cites Surgery and isotopy of L agrangian surfaces.

Legendrian doubles, twist spuns, and clusters Surgery and isotopy of L agrangian surfaces

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:47:26.505442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T14:47:25.159216Z digest=sha256:249f9dfd5fcfbd8a45eaaa045b6a8686c1bc260ce6f3a8e2fcbc416907f9670e

Pith citing papers

Observation 2a4198c2-46b4-4bd7-bd0b-5d0fe2a130e4 · inbound

Categorical Lusztig cycles and weave schobers cites this paper.

Categorical Lusztig cycles and weave schobers Legendrian doubles, twist spuns, and clusters

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-22T02:00:55.065883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-22T01:58:10.522362Z digest=sha256:b3cd70e82c1fc8d7ec5d2326d360416539e44396e03959de70592d0c258e6c76