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Paper Citation Record · LEDGER

Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles

As of 8 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 2026-08-08T06:32:00.761636+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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.806400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.703173Z digest=sha256:97fd65360ec12c9d7adc5446894b6baa35dbff518616cd4be3d9980f14b7a1a7

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

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.709085Z digest=sha256:283428f3ca1b1fa0d8444f0e42dec7621d3598096e54cf5de4a06fbcf27a311e

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=sha256:4eb04cac53974e837992a345c450a210e2a0a7d5ed63d24f4f92cf729678095b

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

Resolution
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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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.725963Z digest=sha256:f85955afff9b05479a16386ed1f3d03cbadc4f5bd58955e7c50fa2690ee56250

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:e90308c200ff7e13077f85db381119976d104d180500fde8330842458fd5138f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.715539Z digest=sha256:6f88d080a3638fb22ed43bfe3989ed98a01ae15fbdbeaa000eb108ffc609c7f0

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:f9e0dfd6b5b9262c8b2d48738454d31c90d7e1b4f293c9ee1cbc6dc0942839e2

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

Resolution
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.768563Z digest=sha256:0765fbf3ce0e910412e3e9b0aa2992d275d9bc33040d6ff98bdfee0ec33a2015

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

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.749397Z digest=sha256:2fd4d23c63f4e7e334d362c72b4c489e8836ae02b37d9621af45c95f7d932d0a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.782345Z digest=sha256:ad435081366a16f14af84911793e15a1d27c2d93c6a9d207aeb80533c0ecd20f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.797742Z digest=sha256:e6b83dc9a089355c606a5620b36a7300f33ba26ab115a05b342bd38449f52d5a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.677836Z digest=sha256:11d440d7e76e03f683deb75137bc809f1da410c272c200d959848c494f8d5e9b

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
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.776689Z digest=sha256:376b2977f642771a0a2ffb116efc28c0ccd5674032a7a5cb0a2f968202acfd6d

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
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.826935Z digest=sha256:43281ef20eb785075e12b0269706052b5eb29476f2ed373514221b068a4276b7

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T12:10:56.853893Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.685476Z digest=sha256:1a3b043fa7e9e223dc19b8d7f995bc5e99bc84be4daabe34c2c27f68aeadb5bd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.809858Z digest=sha256:062685e2ebd990839a1fa30ffa4ea96d0b1cb61495ef13bdc74981ee00b9503b

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

This paper cites Bombelli, R.

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

Reference 17

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.819934Z digest=sha256:2f06b3d09ad208e382754f43d367471f102d19e0f657e051a33d846916ea7a14

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
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.837851Z digest=sha256:ad520af8c579bb62025071333491325c2125ea66672758f9ffa7351c8a637e24

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.848891Z digest=sha256:673134170dd1662efa6fe2b103fba9f596e1806a12652abc97de3d0b3f1e0290

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.863570Z digest=sha256:b1be7f6c29a17e964da2962cb21effae1ff6ed9cb1f78e870eace6f155017d7b

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:f33b796e87705d26ae391a97c4c314026f9123468a8f570d96399709c10f6bb1

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.890478Z digest=sha256:e6699730653b100f4c1b4f6822edc9ab6ccab7a508b562cc5b777b81ba3d08af

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:10:55.902359Z digest=sha256:d1bd38f7eb4b28059d799527835db0420bfeb24f84e85771e0ddaec22a7d5c87

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=sha256:63008f3b8d2bcc23494f6492886e1a85fc7b36d316da5a036605e160b28d166b

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

Resolution
metadata mismatch
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T12:10:55.677836Z digest=sha256:11d440d7e76e03f683deb75137bc809f1da410c272c200d959848c494f8d5e9b