Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-16T19:41:53.827949Z
Paper Citation Record · LEDGER
As of 31 July 2026, this Paper Citation Record lists 72 of 72 outbound references and 1 inbound Pith citation observation for arXiv:2512.21606.
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 2026-05-16T19:41:53.827949Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-07-31T06:34:12.847434+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-12T01:09:58.996951Z
A source-named dated measurement, never combined with another source.
Source: cited_works
72 of 72 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 394d0b91-28e6-40e0-9635-db2928f82a05 · outbound
Shell formulas for instantons and gauge origami Seiberg-Witten Prepotential From Instanton Counting
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 6fc8797a-12f2-4eb6-aee3-aa9c39a09aa4 · outbound
Shell formulas for instantons and gauge origami Seiberg-Witten Theory and Random Partitions
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation abbe1c34-e81a-4360-8d6e-027bc2e22469 · outbound
Shell formulas for instantons and gauge origami BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 77af49b8-8a98-4e2f-8170-1e0425e53d2f · outbound
Shell formulas for instantons and gauge origami Magnificent Four
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 7a4fa779-0c64-453f-90bb-61bea2db31a1 · outbound
Shell formulas for instantons and gauge origami Tetrahedron instantons
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 90e1d112-6332-43f8-9077-1069fcde8ef3 · outbound
Shell formulas for instantons and gauge origami The Topological Vertex
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 8c97ce6a-5878-4372-913d-c8b00b4d93f5 · outbound
Shell formulas for instantons and gauge origami Geometric Engineering of Quantum Field Theories
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation dd13e12d-f837-4d62-84c1-5dd86983d6b1 · outbound
Shell formulas for instantons and gauge origami Branes and Toric Geometry
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 2c34d429-ce6f-468b-bbde-242f8d35460c · outbound
Shell formulas for instantons and gauge origami More on topological vertex formalism for 5-brane webs with O5-plane
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation dbee7e57-853c-42ae-a8c9-062503fd12c3 · outbound
Shell formulas for instantons and gauge origami Instanton counting and O-vertex
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 40a983cb-306c-4eea-9df4-0e5a2c59f5fd · outbound
Shell formulas for instantons and gauge origami Localization techniques in quantum field theories
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 49f61660-a8c8-45fd-a1c4-7ab148666b3f · outbound
Shell formulas for instantons and gauge origami Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 92025385-47e3-489e-85d6-22d4c228135a · outbound
Shell formulas for instantons and gauge origami N=2 dualities
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 2740dd5a-91f3-427f-ab44-0a000c476891 · outbound
Shell formulas for instantons and gauge origami Liouville Correlation Functions from Four-dimensional Gauge Theories
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 7d94994e-4955-42bb-8b96-9b816b7d1c60 · outbound
Shell formulas for instantons and gauge origami BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation cf0399c2-c588-4e50-ab88-16c8271d7887 · outbound
Shell formulas for instantons and gauge origami BPS/CFT Correspondence III: Gauge Origami partition function and qq-characters
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 1ddb64fa-17be-4c57-a4bd-e58f35f14438 · outbound
Shell formulas for instantons and gauge origami BPS/CFT correspondence IV: sigma models and defects in gauge theory
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 6616c2c4-9eb9-4346-ba68-3697b906204d · outbound
Shell formulas for instantons and gauge origami BPS/CFT correspondence V: BPZ and KZ equations from qq-characters
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation d794d4e7-5c58-4b27-9840-1468945a6bc2 · outbound
Shell formulas for instantons and gauge origami The Refined Topological Vertex
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation e60ec2d6-3d4d-4119-b0cc-d987892243c8 · outbound
Shell formulas for instantons and gauge origami Refined BPS state counting from Nekrasov's formula and Macdonald functions
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 3241cb97-f9b1-4497-8132-c03592e5a76c · outbound
Shell formulas for instantons and gauge origami Quiver W-algebras
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 30e58173-99e3-48dd-aff2-0eef54f8e6d4 · outbound
Shell formulas for instantons and gauge origami ABCD of qq-characters
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation f7a53a7f-878a-4c8b-a171-cec0e033ce5a · outbound
Shell formulas for instantons and gauge origami Quantum Groups and Quantum Cohomology
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 3179fa30-c976-476c-976a-3631e10f697b · outbound
Shell formulas for instantons and gauge origami Quantum Algebraic Approach to Refined Topological Vertex
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 0fcdf0ef-c386-416e-b808-fbb7219ed4d8 · outbound
Shell formulas for instantons and gauge origami Gromov-Witten theory and Donaldson-Thomas theory, I
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation cd09c2ea-bc64-47a6-87ee-4d3b550b6585 · outbound
Shell formulas for instantons and gauge origami Gromov-Witten theory and Donaldson-Thomas theory, II
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 613df670-db6e-4257-8647-f7d2ad957b87 · outbound
Shell formulas for instantons and gauge origami Quantum Calabi-Yau and Classical Crystals
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation e8fbc697-eae7-4a55-b535-ddfc1a5c7614 · outbound
Shell formulas for instantons and gauge origami Spiked Instantons from Intersecting D-branes
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 4fab4516-d328-431f-9f63-d02974e2d0c1 · outbound
Shell formulas for instantons and gauge origami Cohomological Hall algebras, vertex algebras and instantons
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 18c7c74b-f11b-480f-b210-7949bdf1c7f1 · outbound
Shell formulas for instantons and gauge origami Probing M-theory with tetrahedron instantons
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 8513526d-92da-4df1-9c2b-3a47ebc9ae34 · outbound
Shell formulas for instantons and gauge origami Tetrahedron instantons in Donaldson-Thomas theory
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 26713836-243f-4801-b4e8-ac00e723575d · outbound
Shell formulas for instantons and gauge origami Magnificent Four with Colors
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 222fc027-4fc1-4588-b419-998603c4e127 · outbound
Shell formulas for instantons and gauge origami On the D(-1)/D7-brane systems
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation bef7ff85-6a2f-463d-b8ef-9ee2613124bc · outbound
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 6f8c239a-c3d8-45bd-91b6-c47dbd3405ac · outbound
Shell formulas for instantons and gauge origami Freezing and BPS jumping
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 70f9c8a8-a63d-4871-becf-2d9b93b63b5f · outbound
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation b175ecae-c3b4-493e-a1de-e7e754f092ef · outbound
Shell formulas for instantons and gauge origami On certain aspects of string theory/gauge theory correspondence
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation e2881602-db08-4fb3-938d-975ac7377876 · outbound
Shell formulas for instantons and gauge origami ABCD of instantons
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 34b5c96e-b341-4867-921e-91aeaee3fa20 · outbound
Shell formulas for instantons and gauge origami Atiyah, N.J
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation b6543848-9175-4df7-ac34-8d71963220dd · outbound
Shell formulas for instantons and gauge origami Testing Seiberg-Witten Solution
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation ea5f90d9-91ee-4dc4-91e0-d00ece805fa9 · outbound
Shell formulas for instantons and gauge origami (p,q)-webs of DIM representations, 5d N=1 instanton partition functions and qq-characters
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 19a6b087-f7b4-4bbc-ad1e-5ed554c24224 · outbound
Shell formulas for instantons and gauge origami Gauge origami and quiver W-algebras
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 720b7992-6a11-4192-8bc7-deb4d7e3bb2c · outbound
Shell formulas for instantons and gauge origami Branes, Superpotentials and Superconformal Fixed Points
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 8f6fc563-5ff0-474d-8198-25acc8bef5ed · outbound
Shell formulas for instantons and gauge origami Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 99f4a4bd-24f3-456b-9b05-610aaa8d6ba0 · outbound
Shell formulas for instantons and gauge origami Brane webs and $O5$-planes
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation ee4c42df-02c2-4dca-8b94-614fc67aff81 · outbound
Shell formulas for instantons and gauge origami General instanton counting and 5d SCFT
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation dbfa89bb-4e55-4fc6-9d41-f143ea6b55e6 · outbound
Shell formulas for instantons and gauge origami 5-dim Superconformal Index with Enhanced En Global Symmetry
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 8b8c1082-00b1-48c4-be5b-d6b06b9869fd · outbound
Shell formulas for instantons and gauge origami O-vertex, O7$^+$-plane, and Topological Vertex
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 0fa19ecc-b293-45b2-bdb8-108a2f11ee27 · outbound
Shell formulas for instantons and gauge origami Gauge Origami and BPS/CFT correspondence
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 54aa9fa3-672e-468f-b05d-367d8af41630 · outbound
Shell formulas for instantons and gauge origami A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on K3 fibrations
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 4632cf0a-56d2-4a3c-a0fb-a7ea3e0f2c69 · outbound
Shell formulas for instantons and gauge origami Kimura and G
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation f9d99b33-dbc2-4ecd-bef0-1b94876a8682 · outbound
Shell formulas for instantons and gauge origami BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 27c3b40c-5d76-42a3-a8fa-b851fbefce9a · outbound
Shell formulas for instantons and gauge origami Noncommutative Instantons in Diverse Dimensions
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation d94a2a17-1fc2-4a74-b4fe-99f488b87a06 · outbound
Shell formulas for instantons and gauge origami Brane/anti-Brane Systems and U(N|M) Supergroup
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 322b08e6-09d4-4a66-9d91-fd9032c51c8a · outbound
Shell formulas for instantons and gauge origami Tachyon Condensation in Superstring Field Theory
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 03d1f5bf-fc62-4d13-81bb-264b7cc2054e · outbound
Shell formulas for instantons and gauge origami D-brane annihilation, renormalization-group flow and non-linear $\sigma$-model for the ADHM construction
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 3af09ef5-02cb-4f22-8871-d9181a6234b7 · outbound
Shell formulas for instantons and gauge origami Gauge origami and quiver W-algebras III: Donaldson--Thomas $qq$-characters
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 09bbc919-e217-430a-a99f-c8a2754c5b9f · outbound
Shell formulas for instantons and gauge origami Membranes and Sheaves
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 2472652a-1909-44da-a859-7545cdb27a84 · outbound
Shell formulas for instantons and gauge origami Shifted Quiver Yangians and Representations from BPS Crystals
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation b091c8b8-c9b2-4c09-ae69-b8e27ef8c7d1 · outbound
Shell formulas for instantons and gauge origami Instantons on Young diagrams with matters
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation df96646e-21a2-478f-9053-e0c0cfce9a31 · outbound
Shell formulas for instantons and gauge origami Superconformal indices for non-Lagrangian theories in five dimensions
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 01721333-1250-4a5a-a20b-e94eeaa29ba4 · outbound
Shell formulas for instantons and gauge origami Crystal Melting and Toric Calabi-Yau Manifolds
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 30828048-08bd-4e4f-adb7-2b7b79e3c58f · outbound
Shell formulas for instantons and gauge origami Nekrasov and N
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 177735e4-9473-4131-b327-0d1c9f5951ab · outbound
Shell formulas for instantons and gauge origami Curve counting via stable pairs in the derived category
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 3c3fcd66-eadc-438e-b8fc-710fbae0f5d8 · outbound
Shell formulas for instantons and gauge origami Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 72383add-1c52-492b-b193-41fe01521686 · outbound
Shell formulas for instantons and gauge origami Kimura and G
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 668e30fd-810e-4a1e-b2ac-37bb9576cc86 · outbound
Shell formulas for instantons and gauge origami Localization for nonabelian group actions
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation d3180859-cca3-43b9-ada7-32c1b584663e · outbound
Shell formulas for instantons and gauge origami Szenes and M
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 21324790-4e3d-41f4-804b-56e0d937ec87 · outbound
Shell formulas for instantons and gauge origami Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 58e9736a-b433-4cc4-987f-50e12a5bb18d · outbound
Shell formulas for instantons and gauge origami Elliptic genera of 2d N=2 gauge theories
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 66f13900-1300-45ac-97df-234b81b93789 · outbound
Shell formulas for instantons and gauge origami Class $\mathcal{S}$ on $S^2$
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 7cd2cfd4-3016-4320-a51f-430d3d94fc65 · outbound
Shell formulas for instantons and gauge origami Cirafici, A
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.
Observation 18673ac5-dc34-4c20-a405-79884db90192 · inbound
Quiver BPS Indices from Crystal Profiles Shell formulas for instantons and gauge origami
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.