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Paper Citation Record · LEDGER

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles

As of 10 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

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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 2026-08-10T06:31:04.303077+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

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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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raw_fallback, observed 2026-08-06T12:10:56.830935Z

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source=pdf_text observed=2026-08-06T12:10:55.693402Z digest=sha256:87013b64b93b788c0a71561d9368f6d92f25ddbcb5814b298911fde04a16e88c

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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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:cb78094cd14880e2fa52cd43f12ac5c5a3f683da2d21a6256c931d9df04c53c6

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
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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.715539Z digest=sha256:d32bfdeef9d6b34e36b9951c08b1173960dbcb8b10b9a118806cd2031f436e09

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=sha256:9b552fb034c60559cf2fd908cabf1f206fb843b83675e626da9c5e238f304317

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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source=pdf_text observed=2026-08-06T12:10:55.768563Z digest=sha256:44556cfd5f67220bc7c04c09cc5ff6d4eba6aac49e7574d3f63f072f5635f712

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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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

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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

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.797742Z digest=sha256:752934bdebee4bfb7dfa6c6b219ac636fef31c7b74b9e052db3d85b11e4ca4a9

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

Resolution
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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.677836Z digest=sha256:a7b3d0a589f8f98a3665c89b99b65ce0afc394a74acaf45462015b39d07e35da

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

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.776689Z digest=sha256:f55da1619d3ee2d3690021099f3ee956cc1c4c65cbdd6b8357233ef217806653

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

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verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.502115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.685476Z digest=sha256:f7bdcff560782f69e88e6e981bc053c2b384c6499da3551450dee8bba3f6dbdf

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

Resolution
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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.809858Z digest=sha256:034ba56d34ba7b24381e5642236f6ee4e01fe2b45f172411e2f8e2bb547bf048

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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raw_fallback, observed 2026-08-06T12:10:56.544646Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.819934Z digest=sha256:1cdf533a353752c63cf09a9794d94103ae69527c733ed8a7c4f9a3de0e470760

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

Resolution
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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.837851Z digest=sha256:0d163213f55c2fd1e89024c3e01b39efe232a3fd9358571c650ab9afddca7ff3

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

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.848891Z digest=sha256:4a48d935f9539e329eb10979294341dde7497ff192d28edd444eb30e6eda9ba8

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.863570Z digest=sha256:e41e2253f33ace28022c512308d626e548c0b6f79ea3b04726ab81d4f4aa2a75

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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no resolver link, observed 2026-08-06T12:10:55.875805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.875805Z digest=sha256:8ec2036002aee08f003b05a15c5046b74c94dea65cd3bbe533516f39faacc4ff

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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source=pdf_text observed=2026-08-06T12:10:55.890478Z digest=sha256:4accbc12be8caf8358d665cc2f1c6cc91930fa6278022dc61655c1369b16600a

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:d4c4722b3fe8fa99adfa7c65692dac67fc6e350c090260fd9a1836ed987ec9ba

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=sha256:30f644441b5f83df50af0f941488e1d2edb06e9eeffd3dc563440666183cf0cd

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T12:10:55.677836Z digest=sha256:a7b3d0a589f8f98a3665c89b99b65ce0afc394a74acaf45462015b39d07e35da