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Paper Citation Record · LEDGER

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles

As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2507.22120.

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

pith.paper-citation-record.v1
2507.22120 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:10:55.911354Z

measured 25 of 25 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:10:55.677836Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T12:10:56.454334Z

Reference resolution

24 of 24 outbound references displayed

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  • verified fuzzy14
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External citation measurements

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Outbound references

Observation 878e942e-28d9-456c-b782-2b509bc939d7 · outbound

This paper cites Schoen and S.-T.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Schoen and S.-T

Reference 1

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.703173Z digest=sha256:7622bad72ec8330336dff75d904e1ce00ec0f00fab22c7fc800446da362b37b3

Observation ef5519d4-cc6b-44de-84e8-c4fc77d6b2d7 · outbound

This paper cites Schoen and S.-T.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Schoen and S.-T

Reference 2

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raw_fallback, observed 2026-08-06T12:10:56.778606Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.709085Z digest=sha256:5fbe70f8373dd2c04381f98a5fa72525fb7bfe12ee7a1ddc57814ae9e45cf04a

Observation d5fe2627-a9a7-42bf-957f-3d3da848598b · outbound

This paper cites (B12) 15 Hence, − 2ρ0 R2eI1 (α′(ρ0))2 = − 35/2 Q3 i=1 (−ri)qi b 23/2R2ρ4 0d2 1 + O b−1/2.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles (B12) 15 Hence, − 2ρ0 R2eI1 (α′(ρ0))2 = − 35/2 Q3 i=1 (−ri)qi b 23/2R2ρ4 0d2 1 + O b−1/2

Reference 3

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source=pdf_text observed=2026-08-06T12:10:55.693402Z digest=sha256:821018a37e185e98619fa54035a781a5f7a0d1ada89f9561a6f350f5e1c7da8d

Observation 3b5329e6-fa16-4dda-87b9-6b324fed7dcc · outbound

This paper cites Witten, A new proof of the positive energy theorem, Commun.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Witten, A new proof of the positive energy theorem, Commun

Reference 4

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raw_fallback, observed 2026-08-06T12:10:56.726962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.725963Z digest=sha256:94eb652042d8b92df4e194cb4066cd0442d5b7edc32b4a90fd1784478463dde2

Observation e40d852d-8936-432c-aa26-d1920dc033d0 · outbound

This paper cites On the Unification Problem in Physics.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles On the Unification Problem in Physics

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.732499Z digest=sha256:adb46f36379f88ecd29e68fa03133345e2503ea852475b0d10e1567970c708ea

Observation c4ea5342-04f5-4862-ab1e-57ce81a424cf · outbound

This paper cites Schoen and S.-T.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Schoen and S.-T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.750096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.715539Z digest=sha256:c520955f975bf6946b67c0f4a3045001824b603ad8bbe93065630f8496c713ef

Observation 1028b83c-a9d0-4928-84f1-5f83c947d4f7 · outbound

This paper cites Zhang, Positive mass conjecture for five-dimensional Lorentzian manifolds, J.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Zhang, Positive mass conjecture for five-dimensional Lorentzian manifolds, J

Reference 7

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source=pdf_text observed=2026-08-06T12:10:55.759057Z digest=sha256:dcd971d0b216ae7e880f5d4a9f018eb5380763cf75e3ba7411d85268e2d60538

Observation 3ac84210-9f56-4c18-855e-664251a166d9 · outbound

This paper cites Dai, A positive mass theorem for spaces with asymptotic SUSY compactification, Commu- nications in Mathematical Physics 244, 335–345 (2004).

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Dai, A positive mass theorem for spaces with asymptotic SUSY compactification, Commu- nications in Mathematical Physics 244, 335–345 (2004)

Reference 8

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 08293d47-50e5-468c-84cd-39f4a072fcfe · outbound

This paper cites Klein, Quantentheorie und f¨ unfdimensionale Relativit¨ atstheorie, Zeitschrift f¨ ur Physik A 37, 895 (1926).

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Klein, Quantentheorie und f¨ unfdimensionale Relativit¨ atstheorie, Zeitschrift f¨ ur Physik A 37, 895 (1926)

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.707915Z

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source=pdf_text observed=2026-08-06T12:10:55.749397Z digest=sha256:eca5341290de06e8748425276c330c08e158762ec527ad615d9f0861fc909f4c

Observation 636f1edc-5358-4819-b494-f042845789a7 · outbound

This paper cites Witten, Instability of the Kaluza-Klein vacuum, Nucl.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Witten, Instability of the Kaluza-Klein vacuum, Nucl

Reference 10

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raw_fallback, observed 2026-08-06T12:10:56.644677Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.782345Z digest=sha256:e01ff0e751cf1fc9f944b21a89062c74f88ab1baa86a6d56d26629ea4d0d608d

Observation 5bece5c8-1eb3-4094-8951-72ac51f129e6 · outbound

This paper cites Brill and G.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Brill and G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.609588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.797742Z digest=sha256:e710dc183aba68ccaaa937717322814de8a793572efc146614494cef36533105

Observation be61f1db-6489-4b2c-8606-782d5eb5aa60 · outbound

This paper cites Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles

Reference 12

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local_arxiv, observed 2026-08-06T12:10:56.468357Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cf80cd71-3835-4d86-9ba4-04f1fdff4842 · outbound

This paper cites Dai, A note on positive energy theorem for spaces with asymptotic SUSY compactification, Journal of Mathematical Physics 46, 10.1063/1.1862095 (2005).

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Dai, A note on positive energy theorem for spaces with asymptotic SUSY compactification, Journal of Mathematical Physics 46, 10.1063/1.1862095 (2005)

Reference 13

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verified exact
doi, observed 2026-08-06T12:10:55.981469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.776689Z digest=sha256:dcf724b995686b31765288e09055547321a9dc6fbcefceac21062f7b7f7c891d

Observation 9d99dd01-e2a1-40cd-bb78-9e49ba1039f2 · outbound

This paper cites Deser and M.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Deser and M

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.826935Z digest=sha256:67c4af9e87f7dc094ec0679727c2fb3b11a0f192752a6fcc9a9bd5814bb0408d

Observation dd6b3d41-5e30-44bf-9915-876c4eb136a1 · outbound

This paper cites We can calculate (4)Rθθ(ρ0) = 1 − ρ0α′(ρ0)β(ρ0) = 1 − 4ρ0 R2α′(ρ0) , (34) where we have used Eq.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles We can calculate (4)Rθθ(ρ0) = 1 − ρ0α′(ρ0)β(ρ0) = 1 − 4ρ0 R2α′(ρ0) , (34) where we have used Eq

Reference 15

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.685476Z digest=sha256:86f082b9a48d567624f912611b7c49817c1787abd642e9049a0b48af29611afe

Observation 08d779d6-f8a7-4c37-8f58-62db01ef05fd · outbound

This paper cites Brill and H.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Brill and H

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.570096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.809858Z digest=sha256:f6fe6876fb08402f888644688cf0e8f64294e8fe2b76812ed194edcc47562456

Observation fcb05777-2551-4355-8a25-15c00183ffdf · outbound

This paper cites Bombelli, R.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Bombelli, R

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.819934Z digest=sha256:9fe608b4d1633c586915907866661fc201292546fae24d9681c64d4c0573c62f

Observation 57ff3a53-1a66-492f-aae0-b0e4c3240204 · outbound

This paper cites Collapse of Kaluza-Klein Bubbles.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Collapse of Kaluza-Klein Bubbles

Reference 18

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verified exact
local_arxiv, observed 2026-08-06T12:10:56.380662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.837851Z digest=sha256:ec3e405b36670a5de405440d340035d7db775ae2fca1b7716323f6e10922f01e

Observation cc5cf070-27d5-44c4-8032-bc485e7d1517 · outbound

This paper cites Gravity Dual of Gauge Theory on S^2 x S^1 x R.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Gravity Dual of Gauge Theory on S^2 x S^1 x R

Reference 19

Resolution
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local_arxiv, observed 2026-08-06T12:10:56.342905Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.848891Z digest=sha256:54344a82349575c5084243e03649c3e7f81c9340086c546c468a8a91e5e75884

Observation 6056ad3f-ba4a-4e58-800b-584f3711ae55 · outbound

This paper cites A new energy inequality in AdS.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles A new energy inequality in AdS

Reference 20

Resolution
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local_arxiv, observed 2026-08-06T12:10:56.301432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.863570Z digest=sha256:529d5356e134fedcaa07fd8a34a2fa9c800c53474c821d386e677cac7988ae65

Observation 4c4ce026-2f8b-49ef-9d66-52c54079f9d1 · outbound

This paper cites A Stress Tensor for Anti-de Sitter Gravity.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles A Stress Tensor for Anti-de Sitter Gravity

Reference 21

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.875805Z digest=sha256:a2ad87eb3980be86912834a0a2914832508b2739b5d4497eacc98062db09d676

Observation 2b054a2a-14d5-410c-8d44-141ba6031cd3 · outbound

This paper cites The Gravitational Hamiltonian, Action, Entropy, and Surface Terms.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles The Gravitational Hamiltonian, Action, Entropy, and Surface Terms

Reference 22

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no resolver link, observed 2026-08-06T12:10:55.890478Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.890478Z digest=sha256:696cb06cf92a941803eb6cc3fcb937b8f22dc05b8f90c2b962f1ad813f68e27d

Observation 7d8a3caf-396c-44b4-b690-64bd4b09b67c · outbound

This paper cites The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity

Reference 23

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no resolver link, observed 2026-08-06T12:10:55.902359Z

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source=pdf_text observed=2026-08-06T12:10:55.902359Z digest=sha256:88d93c938c58ca85b8355e8e04f96e6046d86b395df00bd5dfcadbff6f53d499

Observation 30845c78-9c75-4fd5-8279-3ae058ac363e · outbound

This paper cites Brendle and P.-K.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Brendle and P.-K

Reference 24

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.911354Z digest=sha256:370035669dadf60fff9b7ea71c76aeed1a71dc82dad241a0d0d5904a5188801d

Pith citing papers

Observation be61f1db-6489-4b2c-8606-782d5eb5aa60 · inbound

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles cites this paper.

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles

Reference 12

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local_arxiv, observed 2026-08-06T12:10:56.468357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T12:10:55.677836Z digest=sha256:3dfc9340442a38dfcd15046e7933784c4f03ec7e7914d1b4ff725e48fb8b9146