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Paper Citation Record · LEDGER

Legendrian doubles, twist spuns, and clusters

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:18.748135Z digest=sha256:8d999b6dcf38f3fac00fcbcca7af7d572333501fa4af1cf8595cf3861ebf896b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:18.879532Z digest=sha256:3fa4f5fb443e8352a013c21daa4fca42572c4885dcf64fca274512f5579f18da

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.002331Z digest=sha256:ff838de8d61de5e9fb56da5d20925055b9cafea461119c87732559954f5b0d25

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.134330Z digest=sha256:b81e2e72c3a8cd83ef5d8a7113332581647967c8836854d837a18eefc31416c6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.312624Z digest=sha256:852e632115e40d7ee479ae1532d924f56f01912c2aa74536e33db02dc0a7a7e4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.440431Z digest=sha256:96836d060730d84cf1435d1fdd2b35045d3491dc8c8636a90a5672e0090af8b5

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.620702Z digest=sha256:52add17546c7f7c4787ffcc6d69fca1f32898465c02d6fd87102b4e146fd3d1e

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:af67c3ed07af1154c7f9faa5238e7fffe4e0745c757a6192ea6240741ae6ba6c

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:19.896888Z digest=sha256:d857f88dba42d20edb286e70bc40cbfa5ab565dbb4a52a6120445bb7dd30e753

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.141289Z digest=sha256:26d36c7332a3519b1bb46b0ac4d52be7c9fe10fa24d736d4f97902989545d4c5

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:e41d7794d85aed20e013c10a85aa83b9d4db3df9e39dae047fb7628f1cfb3fec

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.496619Z digest=sha256:a71f2efe3f74582bcefcea305449f1176afb34d7e97a075699a272d42755ee7f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.660755Z digest=sha256:738125303352f8d292b9e0c11f8918d0bdbc5aba06c5d0ced9869d8ff25b954f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.751467Z digest=sha256:d9936ddbe0c9c81ee1f02edf75a65cc3a1d140c54f602709a37e655e91c5e450

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.895867Z digest=sha256:3c072bc49bcd425d001f9a692236b54d3c4baba4a7566af2fd2b46282db993a3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:20.997130Z digest=sha256:bc7609d5c83003fd20b21f45902a0fc4d11f1aa970ab060134f7958614885c91

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.109968Z digest=sha256:06280b10b1bdc74a9d782db3dd2d7604f3c59943cc95d7aea637ca6dfcf2b224

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.178557Z digest=sha256:29230273b99ff3d37e46dd41262864f5f65f8fc74fc6555703ad441a4d1d64df

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.352977Z digest=sha256:b16f47af492904469dc73f1c89e6da90541f4bad0a70930382e3e52483099a84

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.472804Z digest=sha256:26f444ececf666a0870341b3bd79e3f22a657795c366702745c1edfc9d7ed372

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.566295Z digest=sha256:b9a532388d0a988423ac72d00513198dd0209a3e045a5ede8d4285b21a6d8c18

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.687232Z digest=sha256:c567ddf55bd6ea5647375ca95723c4a6ff03aa58d0a78e0d3fd1789aebadd420

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.796543Z digest=sha256:73103030b6fe0fdfc7e52057b30a5c14e7975bcc9a8892dcc6770005fe352496

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:21.887016Z digest=sha256:f178e3bab99293e47868bfd1f71a09b406995040a59bf330aee4b2c9aba184a1

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:b03bc2639bfdaaf786042920b17ba228c10c61193d7556e98ea136f871be6b84

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:c28185775dbe2198af5e63f333678214fdb29478c9cee311a1472a0b870e87dd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.192434Z digest=sha256:e958da4997bf2b7b95791bf9c70e49f60f0fdd135e032bc13cb6f91a6bebd920

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.301780Z digest=sha256:9295adc46d8113b8006fcee2739866c70dd3d5fa08ad47efba05b460eac32291

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.373407Z digest=sha256:11c74f6ac16941f57ce19fc672c6894b2d94ecf051c32ae7003f930d9963d438

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.456680Z digest=sha256:d57442358f0900aee70d9ce60470c452ccfee2df6ac56074f2e3cbc4497087e5

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.525247Z digest=sha256:16e6799ef41c1b9803dd28aa8bb4d0c4b1cc4b577cbb00197e93ed8765400e5f

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.628488Z digest=sha256:c9e3cc871d030906ed5f977c512fbf6ae4381a82486b6114398341940daaa370

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.742512Z digest=sha256:9cc6fe37a05a733623d2283cfcbc06a796fcbadefb9dcc89fc7cebf29d3587f6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.888872Z digest=sha256:8e386222fd65a60816d443164f38197911819db9e15d85b02b4d7378dd40a555

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:22.965102Z digest=sha256:3a89c81a5e5a3cb97870b9a8c23acd9e3263de5892b0d0360cbddcb6d03932fa

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.085827Z digest=sha256:56c9eab82e8455fca24103355ddd3bd22007bcf8bfb69f9277e0cc860b428f64

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.206531Z digest=sha256:c5ad351ab1032ea675637310d786bd54c9d6d499160c4bd0b4c0697ce30bd734

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.317141Z digest=sha256:d1ecb7652eb92828d39d3085149596d65eee94e6978fe25f496abdf829fff4ef

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.425810Z digest=sha256:c01042157f76fb3a5bbd84728b6dae46421c8c756338a386a196dfb68c92d73e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.546946Z digest=sha256:1bec7e075febe4816209becf13021eeac384daec07770c907bd60bf1f626e9e7

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.658313Z digest=sha256:e312df87b0661f0afd1c3791519390a58583ab57b71a821eed9186626bbc5191

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.755980Z digest=sha256:5045a516fc734cee6f3072e4dd1cf96c3c820215764b4fbed580319277b86ff8

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.852938Z digest=sha256:77a031ff8c2e0d4d8b1769cc187299d71f0cd57e22bf0ea36de1f514ef7f1bb4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:23.984031Z digest=sha256:b4672c66efecb8c5126024897faa42f63169e2b3b846b78429a8102332311d34

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.139644Z digest=sha256:a784c0f84aafef6ea16402a9cd205235e166b6f610967d595c5e0783752cfe29

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.295882Z digest=sha256:98404918b50d92cd4d6aca9904e76946d6f81a3df006cd41530de5120bdeebc6

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.446298Z digest=sha256:54b8ea3812f469a9264eb7864fbbf8866af85f66e33d8b818488375830e02f5d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.593978Z digest=sha256:4c358dccf59033352fb4817bdc16f3fb68c97fafb9bb1a54b8e75846f12061dd

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=sha256:6dce5591d39fd036d9f53411d9556a8594f5e955662817bb7d13e5805b71e87e

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.874050Z digest=sha256:bf0e4ba7955d1e9898e4e75e624bd1488208e56cac7f367b470f1934b81baaf3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:24.988710Z digest=sha256:2d76cf29669f70ed368a0b67c5b62e3b8fb4149d2addbb8a7b3e0acc38c6523b

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T14:47:25.159216Z digest=sha256:dfb4be80c41cff0bb9657fee07f295afa18453d8d9d34e1e2628997f15f12f13

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-22T01:58:10.522362Z digest=sha256:1b6c560a58c918d2b8841f867f44a1f0ae70e3d929588dc1e4118a7788513ad5