Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:12:25.762237Z
Paper Citation Record · LEDGER
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations
As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.18999.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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
Reference resolution
20 of 20 outbound references displayed
- verified exact0
- verified fuzzy14
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 926b0053-cbd2-4162-8f7b-dfa7a832fa5b · outbound
This paper cites Friedman, F.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Friedman, F
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:26.057401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e1ddb1e4-167a-41fa-9879-b306a07472c1 · outbound
This paper cites Persson, H.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Persson, H
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:26.042635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cc3a204a-b695-4d96-9bfc-511553ec8faf · outbound
This paper cites Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:12:25.686215Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3715fa5-8909-4a92-952d-c4e5eb9a767e · outbound
This paper cites Steenbrink,Limits of Hodge structures, Invent.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Steenbrink,Limits of Hodge structures, Invent
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:26.018551Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a25fabec-ca0b-4372-976c-ba116479913b · outbound
This paper cites an unresolved cited work.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:12:26.003097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 17a0bb24-f783-4dd3-9fe6-6d476ae5c516 · outbound
This paper cites Friedman, Simultaneous resolution of threefold double points, Math.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Friedman, Simultaneous resolution of threefold double points, Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.989196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c8a219dc-7bcd-4e0c-a8ef-aae9398e5915 · outbound
This paper cites an unresolved cited work.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:12:25.975527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fafd00db-80f3-452f-8694-80e0da550958 · outbound
This paper cites Arbeitman, C.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Arbeitman, C
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.961895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0af0cf31-f0f6-490e-bc5b-fd75d2e40c6b · outbound
This paper cites Bakker, Y.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Bakker, Y
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.948948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 45902247-8940-4d49-810f-d5f504d9cd2d · outbound
This paper cites Charles, C.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Charles, C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.935490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a56f952c-41da-4ba4-b5ac-d90789261d56 · outbound
This paper cites Huybrechts,Lectures onK3 Surfaces, Cambridge Univ.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Huybrechts,Lectures onK3 Surfaces, Cambridge Univ
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.921991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 01ed0dbb-8bcb-4070-904e-a3e86a8a2504 · outbound
This paper cites Voisin,Hodge Theory and Complex Algebraic Geometry I, Cambridge Univ.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Voisin,Hodge Theory and Complex Algebraic Geometry I, Cambridge Univ
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.908222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5bf02a41-f9ca-4cee-a3e8-ae95b8fd1451 · outbound
This paper cites Voisin,Hodge Theory and Complex Algebraic Geometry II, Cambridge Univ.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Voisin,Hodge Theory and Complex Algebraic Geometry II, Cambridge Univ
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.894583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a60c2852-9657-475d-b78a-58a5ce74d755 · outbound
This paper cites an unresolved cited work.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:12:25.881276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a23cd200-cb63-4536-bca3-de1d2076e691 · outbound
This paper cites an unresolved cited work.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:12:25.867597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8e5e7a63-e41c-4e8f-a3dc-8aad57706404 · outbound
This paper cites Reid,Minimal models of canonical 3-folds, Adv.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Reid,Minimal models of canonical 3-folds, Adv
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.852937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b899facc-884b-4560-a061-e98a61abe7fc · outbound
This paper cites Candelas, X.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Candelas, X
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.838902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 665cfb82-f629-4a37-b345-24e4df6cfcf8 · outbound
This paper cites an unresolved cited work.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:12:25.825445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9aa2bf76-32f6-4d4a-9b5b-8203690e7e69 · outbound
This paper cites Gross, P.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Gross, P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.812029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0fd25730-f0b7-4ff1-86f1-c6755d2ab5b9 · outbound
This paper cites Dwork,On the zeta function of a hypersurface, Inst.
Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations Dwork,On the zeta function of a hypersurface, Inst
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:12:25.797751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.