Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:11:18.569392Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2501.12566.
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 2026-08-10T17:11:18.569392Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 03d08b1a-b38c-4460-b1e5-2b11137183dd · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Homological Knot Invariants from Mirror Symmetry
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56f3612a-422d-4d32-a3f8-7e8c510c60c0 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex A non-torus link from topological vertex
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3935fa9f-40b2-4e0b-80a0-8f33ab4c93b1 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex The Topological Vertex
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f3ebf9be-f031-4e75-8704-617ec385fb03 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Matrix Model as a Mirror of Chern-Simons Theory
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d96cfe33-8349-437c-b9f5-9d0d9ae417cf · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex On knots and links in lens spaces
Reference 5
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.
Observation 34a8354f-8124-4db4-9259-42f7a829671e · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Khovanov-type homologies of null homologous links in $\mathbb{RP}^3$
Reference 6
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.
Observation 4d248169-f810-41e5-9a21-6116d4868da1 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Bar-Natan Homology for null homologous links in \mathbb{RP}^3
Reference 7
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.
Observation 6bbc633d-f4fb-4a69-9e4b-4bdda1c64fa7 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex A polynomial invariant for links in lens spaces
Reference 8
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.
Observation c9569fa0-9cfd-4d65-8f81-d38c9fe29a9a · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Unresolved cited work
Reference 9
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.
Observation c47de3bb-4166-434e-87e1-0d7347f1a6af · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Dunfield, S
Reference 10
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.
Observation 3381f8b6-c9cf-4bd6-a025-09b2520492f9 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Faber, R
Reference 11
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.
Observation 12cbc2e7-6949-4e96-9f34-7c9247eb3954 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Gabrovsek, The categorification of the Kauffman bracke t Skein module of RP3, Bull
Reference 12
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.
Observation a440077c-7673-4583-9aeb-7ec9edd20a62 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Gukov, Gauge theory and knot homologies, Fortschr
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 084a3dcc-5ca7-496a-9ea1-8071c769750e · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Link Homologies and the Refined Topological Vertex
Reference 14
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.
Observation 8df5587b-9529-49e8-9c63-ad05cfc4954a · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Gukov, A
Reference 15
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.
Observation 509c0125-4238-4634-8450-aa71cd2b57fb · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex M-Theory and Topological Strings--II
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01cac4b4-d512-4112-9944-f83db5aa6a75 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Matrix Factorizations and Kauffman Homology
Reference 17
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.
Observation bf241e97-fcaf-4c17-b2de-d5e0bfc3230a · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Hollowood, A
Reference 18
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.
Observation 9f1b93cc-3ac1-4a57-85f6-c4187d931bcd · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Iqbal, A.-K
Reference 19
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.
Observation 2e7a3fee-544f-4b80-9fb7-8f9fde6aa146 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Iqbal, A.-K
Reference 20
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.
Observation a7221808-fbb6-4551-a7ba-d9f20165f0b1 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Iqbal, A.-K
Reference 21
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.
Observation d7351518-4e74-49ba-9a34-9e1404c58e21 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex The Refined Topological Vertex
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17cb9e4f-fe42-4400-bba7-0419d987c9d7 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Torus Knots and the Topological Vertex
Reference 23
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.
Observation 4e34bb59-b91f-4847-96ba-cfe9a3c53755 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Integrality of Gopakumar-Vafa Invariants of Toric Calabi-Yau Threefolds
Reference 24
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.
Observation 37bfae28-3f5e-44ad-a0ad-03a8dc45c30e · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Khovanov, A categorification of the Jones polynomial , Duke Math
Reference 25
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.
Observation 559593f7-7605-4db4-a3a9-361ab70d2817 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Categorifications of the colored Jones polynomial
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35954571-ac64-4840-82db-345d54f5fd6e · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Khovanov, L
Reference 27
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.
Observation b31f5666-9fa4-43d3-9f0b-98ff4f54190e · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Khovanov, L
Reference 28
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.
Observation c4978a93-bc13-4374-a1ad-2f074dfe16bf · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex The HOMFLY polynomial for links in rational homology 3-spheres
Reference 29
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.
Observation 0a93150d-1eed-46c6-9e3b-8cdbf66c9312 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Categorical lifting of the Jones polynomial: a survey
Reference 30
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.
Observation 82c778a7-d6c1-4fb5-85d4-e68f85a2e9b9 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex A Mathematical Theory of the Topological Vertex
Reference 31
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.
Observation 293795c8-ea79-4ea2-9b54-e252c56a760f · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex A Rasmussen invariant for links in $\mathbb{RP}^3$
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0a3cb1b-ba62-4453-b993-ceb80c219e71 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Khovanov homology for virtual links with arbitrary coefficients
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb87ac6f-6086-4af8-b2a3-362cca0e3974 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Marino, Chern–Simons theory, matrix models and topo logical strings, Oxford University Press 2005
Reference 34
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.
Observation e2a5379f-c022-4b0c-becb-9da3aabd6982 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Lift in the 3-sphere of knots and links in lens spaces
Reference 35
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.
Observation df26f7f6-4f6f-4578-972f-9ad88e47c765 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Lectures on knot homology
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1dcc59c-28b2-4202-8db4-ef3d033e1e2f · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Okounkov, N
Reference 37
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.
Observation 28902c9f-e6ca-420b-b260-f0323292fab6 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Ozsvath, Z
Reference 38
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.
Observation a2a58b6a-de20-45d5-bcdb-e28a91f813d5 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Holomorphic disks and link invariants
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 625d535d-210f-47eb-8853-cf9c24181b6a · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Knot Invariants and Topological Strings
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f80ca6e5-ff4e-419d-aa7f-54aad05eb4b6 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds
Reference 41
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.
Observation d8627eb9-7587-455c-abaf-1edc997c7e27 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Floer homology and knot complements
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e38eae64-482e-4865-8b3f-875f67005936 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Torus Knots in Lens Spaces & Topological Strings
Reference 43
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.
Observation 55da051f-7cc9-4c17-8826-a24274640814 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Stroppel, Categorification: tangle invariants and T QFTs, Proc
Reference 44
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.
Observation 3b39f168-0b9e-40e0-8707-d117c7015fba · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Lagrangians for the Gopakumar-Vafa conjecture
Reference 45
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.
Observation 318999d3-bef7-4c90-8a9b-f47fc9616d4c · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Colored sl(N) homology and SU(N) representations
Reference 46
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.
Observation 4a1774f0-d30a-4ea4-8da1-8708e9384ca5 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Webster, An introduction to categorifying quantum k not invariants, Geometry and Topol- ogy Monographs 18, 2012
Reference 47
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.
Observation fbdf665c-ec23-498c-96e2-6112d14b26da · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Fivebranes and Knots
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62325306-1740-4ba4-abe2-cb0eb10453ee · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Witten, Chern-Simons gauge theory as a string theory , In: Hofer, H., Taubes, C.H., Weinstein, A., Zehnder, E
Reference 49
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.
Observation ff1a51a2-c759-4a2a-9782-0f09dbd7c7cc · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Open/Closed BPS Correspondence and Integrality
Reference 50
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.
Observation 0e602806-3cc3-43da-a1e2-5afdb251fda3 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Torus knots in Lens spaces, open Gromov-Witten invariants, and topological recursion
Reference 51
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.
Observation 556abfb6-541f-45a4-a08f-891bdab77654 · outbound
Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex Chern-Simons Gauge Theory As A String Theory
Reference 133
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.