Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:46:08.031186Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 84 of 84 outbound references and 0 inbound Pith citation observations for arXiv:1908.08653.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:46:08.031186Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
84 of 84 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 173828b4-a705-4417-ae4a-0a543574c326 · outbound
On explicit formulae of LMOV invariants Mirror Symmetry, D-Branes and Counting Holomorphic Discs
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b700d68-f1a7-41f3-baee-9e73ec4ed3cd · outbound
On explicit formulae of LMOV invariants Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec22da2f-cf98-4e19-8475-605d8d39b603 · outbound
On explicit formulae of LMOV invariants Aganagic, A
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ccde45f-58ff-4647-85cf-1818e7768d6b · outbound
On explicit formulae of LMOV invariants Aganagic, A
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88a9068f-7731-4518-8062-677eea681bf7 · outbound
On explicit formulae of LMOV invariants Aganagic, M
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ebd451a-2486-47c4-9706-4866ca86aa10 · outbound
On explicit formulae of LMOV invariants Aganagic, T
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee8b276b-dca9-4526-b989-889f0ddbc323 · outbound
On explicit formulae of LMOV invariants Bershadsky, S
Reference 7
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4b3be1d3-8d5e-4aec-9423-eb9bf578b08e · outbound
On explicit formulae of LMOV invariants Behrend and B
Reference 8
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 278df523-f7c3-4cbb-b882-fa882b1cef17 · outbound
On explicit formulae of LMOV invariants Bouchard, A
Reference 9
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.
Observation 5a04306c-f3f3-41f6-b286-085ff19ffed5 · outbound
On explicit formulae of LMOV invariants Congruent skein relations for colored HOMFLY-PT invariants and colored Jones polynomials
Reference 10
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.
Observation 77ded305-9269-4e54-86e6-b66aadcbbc4f · outbound
On explicit formulae of LMOV invariants Chern and J
Reference 11
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.
Observation a0a21555-7240-436d-b5b2-c675dc7e7aa8 · outbound
On explicit formulae of LMOV invariants Full Colored HOMFLYPT Invariants, Composite Invariants and Congruent Skein Relation
Reference 12
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.
Observation 551f0c1d-988f-4428-9f44-f2b4edf6feb3 · outbound
On explicit formulae of LMOV invariants Diaconescu, V
Reference 13
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42eab42f-c5a4-404a-bf7d-0ef7d5481aee · outbound
On explicit formulae of LMOV invariants Ekedahl, S
Reference 14
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.
Observation a4d2fcc9-9d8e-4453-96f7-4996af300ee3 · outbound
On explicit formulae of LMOV invariants Invariants of algebraic curves and topological expansion
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21fcdf48-8259-49df-84da-3e83e9a35ee2 · outbound
On explicit formulae of LMOV invariants Eynard and N
Reference 16
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.
Observation 4e4f3518-fb5d-4248-a303-d84438ae25e7 · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 17
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.
Observation 539c2be1-e662-42e0-b256-71bd9bc91af3 · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 18
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.
Observation 6cdf81f7-4a5f-490c-8a64-afe4c107a6db · outbound
On explicit formulae of LMOV invariants Fang, C.-C., M Liu, Open Gromov-Witten invariants of toric Calabi- Yau 3-folds
Reference 19
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.
Observation 64e10220-dbd1-4566-a64d-2fc4d02cef3e · outbound
On explicit formulae of LMOV invariants On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds
Reference 20
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.
Observation b9be9def-762f-4f16-a5eb-a28e6a31d37f · outbound
On explicit formulae of LMOV invariants Garoufalidis, P
Reference 21
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.
Observation 2db77da5-2ae6-43ed-a700-98ca2e882f84 · outbound
On explicit formulae of LMOV invariants Garoufalidis and T.T.Q
Reference 22
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.
Observation 38f793c5-1d0b-4d97-8dd9-60f84d218062 · outbound
On explicit formulae of LMOV invariants The colored HOMFLYPT function is $q$-holonomic
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 621d2b0b-a962-4889-8393-a7a875c8aac3 · outbound
On explicit formulae of LMOV invariants Graber and R
Reference 24
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.
Observation 5f7e7dc7-ae90-4a61-901a-472e867bd021 · outbound
On explicit formulae of LMOV invariants M-Theory and Topological Strings--I
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e9a54c6d-45c1-4697-b1ab-fbb26bbed5c6 · outbound
On explicit formulae of LMOV invariants Gopakumar, C
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b892f0d-481d-4602-8803-72797144b739 · outbound
On explicit formulae of LMOV invariants Gopakumar and C
Reference 27
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.
Observation 1bcb9e8d-839f-400d-aece-7456ae5b9263 · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 28
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.
Observation 765167b4-28eb-4276-a579-87c2442f569e · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 29
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.
Observation 237e384d-eaf4-45c8-b022-45183a1b8225 · outbound
On explicit formulae of LMOV invariants Kontsevich, Intersection theory on the moduli spaces of curves and the matrix
Reference 30
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.
Observation 7e33cea9-c84d-44b8-837d-e3906ec8ef0b · outbound
On explicit formulae of LMOV invariants Kontsevich, Enumeration of rational curves via torus actions , in The moduli space of curves, R
Reference 31
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.
Observation 43ef7992-b7d2-47de-8120-2f8cb43b8432 · outbound
On explicit formulae of LMOV invariants Kontsevich, Y
Reference 32
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.
Observation c3e8d8d3-694a-47f7-af70-2145dfac8f55 · outbound
On explicit formulae of LMOV invariants Konishi, Integrality of Gopakumar-Vafa invariants of toric Calabi- Yau threefolds, Publ
Reference 33
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.
Observation cea9e2f6-3277-48fe-b47d-b2e8b0ab7a21 · outbound
On explicit formulae of LMOV invariants Koshkin, Conormal bundles to knots and the Gopakumar-Vafa con- jecture
Reference 34
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.
Observation 2f0d775c-0c61-44be-8572-60008d1325fd · outbound
On explicit formulae of LMOV invariants Katz, C.-C.M
Reference 35
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.
Observation 51ee7747-fd13-49e4-b8fc-04711c7874be · outbound
On explicit formulae of LMOV invariants Khmyk and K
Reference 36
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.
Observation eda600ec-140d-4cfb-8250-98bdb2cf3b8d · outbound
On explicit formulae of LMOV invariants BPS states, knots and quivers
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c16a65d-4a67-4744-a8b2-4611487ff28f · outbound
On explicit formulae of LMOV invariants Knots-quivers correspondence
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09b09b26-8941-4949-bff3-31b1c3aee76f · outbound
On explicit formulae of LMOV invariants BPS counting for knots and combinatorics on words
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ab19200-b463-4265-97c7-a6b44c1c889b · outbound
On explicit formulae of LMOV invariants Li, Some results of the Mariño-Vafa formula
Reference 40
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.
Observation 33858774-245c-499b-b0a8-2e07936906c9 · outbound
Reference 41
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.
Observation 1436425c-ed72-4937-9669-394c3fb7cb88 · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 42
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.
Observation eecc9216-1fa0-4354-a35f-76a4f433282d · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 43
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.
Observation 905c940c-8747-441b-b84c-1a8c93b4ec6b · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 44
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.
Observation 4fa55057-04f9-4340-97da-73cc2c9c4a02 · outbound
On explicit formulae of LMOV invariants Labastida and M
Reference 45
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.
Observation 34618001-b8ef-4243-96e3-bdbe95dd2fb6 · outbound
On explicit formulae of LMOV invariants Labastida and M
Reference 46
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.
Observation bf9bdec9-4741-4871-bc14-938a778b59d0 · outbound
On explicit formulae of LMOV invariants Labastida, M
Reference 47
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.
Observation c8acf5f8-ce21-43be-94b5-a76592ec46b6 · outbound
On explicit formulae of LMOV invariants Liu and P
Reference 48
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.
Observation 7d9abced-e972-4a62-bd0d-e887dbe3e656 · outbound
On explicit formulae of LMOV invariants Liu and P
Reference 49
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.
Observation 1b45e22c-ca14-4d19-89ce-6ef252445171 · outbound
On explicit formulae of LMOV invariants Liu and P
Reference 50
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.
Observation e8799148-05a1-465a-9aab-6adfc652e6b2 · outbound
Reference 51
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.
Observation 05467612-a61e-429a-b36b-01a68b6e6e93 · outbound
Reference 52
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.
Observation a8cae301-77b4-4787-b267-b79fd409e1c6 · outbound
On explicit formulae of LMOV invariants Lin and H
Reference 53
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.
Observation 7b469662-101e-40ab-a46b-c9451ba228e3 · outbound
On explicit formulae of LMOV invariants Liu and S
Reference 54
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.
Observation 683f12da-d2ba-43a7-85db-fa82cb26dd33 · outbound
On explicit formulae of LMOV invariants Integrality structures in topological strings I: framed unknot
Reference 55
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.
Observation b2bba64e-02f9-4471-b752-494beab533d3 · outbound
On explicit formulae of LMOV invariants Luo and S
Reference 56
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.
Observation 305b4fb9-bfa2-43b8-a58a-0ad81ad367ce · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 57
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.
Observation d7418756-31d4-4733-82e4-91b1a66c1648 · outbound
On explicit formulae of LMOV invariants Open string amplitudes and large order behavior in topological string theory
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b194205-9f88-481a-9b9e-22f20221ab74 · outbound
On explicit formulae of LMOV invariants Mironov, A
Reference 59
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.
Observation cde9e409-6b0b-42f3-979d-4b748a7a5e45 · outbound
On explicit formulae of LMOV invariants Checks of integrality properties in topological strings
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82cba0e6-d37f-40a0-a9c3-d5adff49fa0f · outbound
On explicit formulae of LMOV invariants Gaussian distribution of LMOV numbers
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c64e25ef-69e5-4e97-bd73-f1c6591f9f2c · outbound
On explicit formulae of LMOV invariants Mariño, C
Reference 62
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.
Observation e3b852ea-4aa1-48ea-99c3-57bb899c9de8 · outbound
On explicit formulae of LMOV invariants Maulik, A
Reference 63
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.
Observation d21a68a6-6ff5-449a-84d9-3e96c520c3be · outbound
On explicit formulae of LMOV invariants Nawata, P
Reference 64
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.
Observation 03ce83cf-6888-4229-b4ff-0505b30c802a · outbound
On explicit formulae of LMOV invariants Okounkov, R
Reference 65
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.
Observation 6d92e3a6-727b-4c87-870d-1b6b23bd9dd8 · outbound
On explicit formulae of LMOV invariants Ooguri, C
Reference 66
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.
Observation c361df22-b534-4a4f-8ff0-f79740a5d0b9 · outbound
On explicit formulae of LMOV invariants Peng, A Simple Proof of Gopakumar-Vafa Conjecture for Local Toric Calabi-Yau Manifolds, Commun
Reference 67
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.
Observation 55cf839e-56ee-468a-a0b2-794bd7960ff3 · outbound
On explicit formulae of LMOV invariants Pandharipande, J
Reference 68
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.
Observation 5b58747c-5759-422e-a1e5-13c14233e712 · outbound
On explicit formulae of LMOV invariants Topological strings, strips and quivers
Reference 69
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83b7a201-fa3c-4fc8-9e03-e465daf02b27 · outbound
On explicit formulae of LMOV invariants Donaldson-Thomas invariants, torus knots, and lattice paths
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3388f5e0-30be-4551-8ebc-3304b0b6b242 · outbound
On explicit formulae of LMOV invariants Reineke, Degenerate Cohomological Hall algebra and quantized Donaldson-Thomas invariants for m-loop quivers , Doc
Reference 71
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.
Observation 1897ad1d-2e45-48a6-876b-c487d79efd3f · outbound
On explicit formulae of LMOV invariants Reshetikhin and V
Reference 72
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.
Observation 9479bda0-5e8d-48ac-baa7-3257ac1d55b2 · outbound
On explicit formulae of LMOV invariants Reshetikhin and V
Reference 73
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.
Observation 7d5df4a4-e8df-4c54-b71a-d7b113bbe053 · outbound
On explicit formulae of LMOV invariants Unresolved cited work
Reference 74
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.
Observation efdee2da-7244-4beb-8a4e-0210920a074d · outbound
On explicit formulae of LMOV invariants Taubes, Lagrangians for the Gopakumar-Vafa conjecture
Reference 75
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.
Observation 10b9b718-3dad-4fca-b3ba-fbf862945157 · outbound
On explicit formulae of LMOV invariants Witten, Quantum field theory and the Jones polynomial , Commun
Reference 76
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.
Observation 29c6b9ec-5cb4-462f-96d0-bd1c780ce8b1 · outbound
On explicit formulae of LMOV invariants Witten, Two-dimensional gravity and intersection theory on moduli space, Surv
Reference 77
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.
Observation 23631428-6133-4cb8-a51d-3d7c82d1ff45 · outbound
On explicit formulae of LMOV invariants Witten, Chern-Simons Gauge Theory As A String Theory , Prog
Reference 78
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.
Observation f54a3dbf-9a9d-4f63-80c1-b52f653547f4 · outbound
On explicit formulae of LMOV invariants Zhou, A proof of the full Mariño-Vafa conjecture
Reference 79
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.
Observation 5a7d30ba-7a29-4978-9578-098ed8620564 · outbound
On explicit formulae of LMOV invariants Zhu, Hodge Integral Identities from the Cut-and-Join Equation o f Mariño-Vafa formula
Reference 80
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.
Observation 3591e20a-10fd-4303-9b5b-12d14e19e863 · outbound
On explicit formulae of LMOV invariants Zhu, Colored HOMFLY polynomials via skein theory , J
Reference 81
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.
Observation 4734368c-e314-4f89-a194-50adcdcbc197 · outbound
On explicit formulae of LMOV invariants Zhu, Topological Strings and Their Applications in Mathematics , Notices of The ICCM, Dec
Reference 82
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.
Observation 4049fa1b-81aa-4e73-a3d9-321fc7743e1e · outbound
On explicit formulae of LMOV invariants Zhu, Topological strings, quiver varieties, and Rogers-Ramanu jan identities, Ramanujan J (2019) 48: 399
Reference 83
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.
Observation d96e43ec-f4ec-4094-85dc-39c7ec01aa08 · outbound
On explicit formulae of LMOV invariants Zhu, Integrality structures in topological strings II , in preparation
Reference 84
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.
No inbound Pith citation observations are available.