Paper Citation Record · LEDGER

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2505.09077.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.09077 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:50:50.597302Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:40.529818Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T15:04:40.805565Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy9
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c9b4e837-f5ce-4c3d-87ea-3448a720ac56 · outbound

This paper cites an unresolved cited work.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:50:50.818887Z

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 b4de085e-1612-4e32-b128-2b4d6aa89273 · outbound

This paper cites Carroll, Spacetime and geometry.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Carroll, Spacetime and geometry

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T21:50:50.544380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c5123ee-b485-4dc2-acac-26e739c94b07 · outbound

This paper cites d’Inverno, Introducing Einstein’s relativity, The Clarendon Press, Oxford Uni- versity Press, New York, 1992, xii+383 pp.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes d’Inverno, Introducing Einstein’s relativity, The Clarendon Press, Oxford Uni- versity Press, New York, 1992, xii+383 pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.795881Z

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 2cc4fa4a-53db-4c40-b3c1-fcca13759b5b · outbound

This paper cites Galstian, K.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Galstian, K

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.782691Z

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 3b79b9dc-5f8a-464f-a21b-d02aa81293ae · outbound

This paper cites Gazzola, M.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Gazzola, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.769775Z

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 dc0fb4a6-8e3e-447f-b9b4-00ca7d43065c · outbound

This paper cites an unresolved cited work.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:50:50.756859Z

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 408f8996-015f-4a18-9438-187e217e4464 · outbound

This paper cites an unresolved cited work.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:50:50.744140Z

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 585429cb-20aa-499f-bccd-2afd304ac6b0 · outbound

This paper cites McCollum, G.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes McCollum, G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.729939Z

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 4e514837-d463-446b-ac39-f16af6c32d7b · outbound

This paper cites Nakamura, The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime, J.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Nakamura, The Cauchy problem for semi-linear Klein-Gordon equations in de Sitter spacetime, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.717086Z

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 706a2345-b873-45ca-bc28-53a9e11d02eb · outbound

This paper cites Nakamura, Remarks on the derivation of several second order partial differ- ential equations from a generalization of the Einstein equations , Osaka J.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Nakamura, Remarks on the derivation of several second order partial differ- ential equations from a generalization of the Einstein equations , Osaka J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.702969Z

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 8d8bc09e-c43b-4cfa-9dbb-902051921e08 · outbound

This paper cites Nakamura, T.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Nakamura, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.687492Z

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 66eeec03-a976-4f7d-839d-d6f63c582285 · outbound

This paper cites Wang, A sufficient condition for finite time blow up of the nonlinear Klein- Gordon equations with arbitrarily positive initial energy , Proc.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Wang, A sufficient condition for finite time blow up of the nonlinear Klein- Gordon equations with arbitrarily positive initial energy , Proc

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.673286Z

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 2ee8960a-9a77-4f00-8124-38245d6007ff · outbound

This paper cites an unresolved cited work.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:50:50.659618Z

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 7fb7e824-5934-45f5-a47b-79d91d613109 · outbound

This paper cites an unresolved cited work.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:50:50.646793Z

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 54a10e48-bd22-448c-971d-9609b5513242 · outbound

This paper cites Zhang, Sharp conditions of global existence for nonlinear Schr¨ odinger and Klein-Gordon equations, Nonlinear Anal.

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes Zhang, Sharp conditions of global existence for nonlinear Schr¨ odinger and Klein-Gordon equations, Nonlinear Anal

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:50:50.633126Z

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

Observation 42efe7d7-e5f7-4d43-8567-52417c5cbeca · inbound

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes cites this paper.

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:04:40.810550Z

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.