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Paper Citation Record · LEDGER

The Mass-Angular Momentum Inequality for Multiple Black Holes

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2501.15093.

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

pith.paper-citation-record.v1
2501.15093 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:44:00.077458Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:59:50.402490Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:59:50.874248Z

Reference resolution

31 of 31 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e3ed9c9-533b-4d11-b236-63deb0a4678a · outbound

This paper cites Bartnik, The mass of an asymptotically flat manifold , Comm.

The Mass-Angular Momentum Inequality for Multiple Black Holes Bartnik, The mass of an asymptotically flat manifold , Comm

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:43:59.951138Z digest=sha256:7dba74b6e01c2cdb8bf06984182ff399b010688b9548a7b8099e25b4db4905d0

Observation e64c003e-2189-4c7b-9ffb-1484d80e5178 · outbound

This paper cites Bray, Proof of the Riemannian Penrose inequality using the positive mass theorem , J.

The Mass-Angular Momentum Inequality for Multiple Black Holes Bray, Proof of the Riemannian Penrose inequality using the positive mass theorem , J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.411484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 8508d434-6137-4ad1-b843-21c2af66e6ac · outbound

This paper cites Brill, On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational waves , Ann.

The Mass-Angular Momentum Inequality for Multiple Black Holes Brill, On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational waves , Ann

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 8eb37c0e-23d5-42ec-8ebf-b235fb7071ed · outbound

This paper cites Bryden, M.

The Mass-Angular Momentum Inequality for Multiple Black Holes Bryden, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.390833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:43:59.963239Z digest=sha256:987b60af3318e1c6b3b8868e14e042d5ef63e5ff8cd861fdd8ef0d49d0805728

Observation 90a49eb9-4f87-4e26-bf66-eed6ca929263 · outbound

This paper cites Chru´ sciel,Boundary conditions at spatial infinity from a Hamiltonian point of view , Topological Properties and Global Structure of Space-Time (P.

The Mass-Angular Momentum Inequality for Multiple Black Holes Chru´ sciel,Boundary conditions at spatial infinity from a Hamiltonian point of view , Topological Properties and Global Structure of Space-Time (P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.381154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:43:59.967041Z digest=sha256:2d3c6ffe104b82075448d9507592b90300d6cd36ca92196dda8806989364b8c6

Observation 5c2ac2cb-938b-42db-8810-be6bc96817df · outbound

This paper cites Chru´ sciel,Mass and angular-momentum inequalities for axi-symmetric initial data sets.

The Mass-Angular Momentum Inequality for Multiple Black Holes Chru´ sciel,Mass and angular-momentum inequalities for axi-symmetric initial data sets

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.370680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:43:59.970929Z digest=sha256:23b832f7bd4265ae292c0ca30a0f2b6e0375ffb8985f530381b23a5c532eec8a

Observation a0ed665a-4d93-4fb1-842a-d10f8866d851 · outbound

This paper cites Chru´ sciel, and J.

The Mass-Angular Momentum Inequality for Multiple Black Holes Chru´ sciel, and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.359683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:43:59.975155Z digest=sha256:f7406d33df9032c9cc80794b2adf7762e998d7379f23e97e4384347992a5dc30

Observation d0e1a186-d940-4159-b4bf-2188b697eb32 · outbound

This paper cites Chru´ sciel, Y.-Y.

The Mass-Angular Momentum Inequality for Multiple Black Holes Chru´ sciel, Y.-Y

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.349547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:43:59.978632Z digest=sha256:0ce6739aef81fe827fb84c46921db90189c789167a7ef2c5a36f6d173a27a6ca

Observation 1c983b80-a67f-43c0-a174-c7eac5cec1ee · outbound

This paper cites Costa, Proof of a Dain inequality with charge , J.

The Mass-Angular Momentum Inequality for Multiple Black Holes Costa, Proof of a Dain inequality with charge , J

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation b14f15b8-9556-477e-b471-84a26a52e6dd · outbound

This paper cites Dain, Proof of the angular momentum-mass inequality for axisymmetric black holes , J.

The Mass-Angular Momentum Inequality for Multiple Black Holes Dain, Proof of the angular momentum-mass inequality for axisymmetric black holes , J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.331524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 3302e49f-345a-4363-a64c-f9438fbafa62 · outbound

This paper cites Dain, and M.

The Mass-Angular Momentum Inequality for Multiple Black Holes Dain, and M

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 758dc81a-006f-4d59-950b-6896bc1f567d · outbound

This paper cites Asymptotic Analysis of Harmonic Maps With Prescribed Singularities.

The Mass-Angular Momentum Inequality for Multiple Black Holes Asymptotic Analysis of Harmonic Maps With Prescribed Singularities

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e1c67014-071d-4212-a9fe-291029010f6e · outbound

This paper cites Huang, R.

The Mass-Angular Momentum Inequality for Multiple Black Holes Huang, R

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 516af627-9610-4b54-bb38-86bd72978993 · outbound

This paper cites Huisken, and T.

The Mass-Angular Momentum Inequality for Multiple Black Holes Huisken, and T

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 2026-08-17T06:30:58.91139+00:00.

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Observation 8d04b777-10be-410c-8a62-76c27a172cc5 · outbound

This paper cites Jaracz, M.

The Mass-Angular Momentum Inequality for Multiple Black Holes Jaracz, M

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c1c19109-e33d-4900-8488-e845cb937e54 · outbound

This paper cites Kakkat, M.

The Mass-Angular Momentum Inequality for Multiple Black Holes Kakkat, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.281486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:44:00.011337Z digest=sha256:5f49f89e4681e1dbdfb5436190f690306b398d551a5a9198b41602956cec6299

Observation 66ab1b3c-6113-4675-bb96-fd901c92c88c · outbound

This paper cites Khuri, and G.

The Mass-Angular Momentum Inequality for Multiple Black Holes Khuri, and G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.271397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2cd7d0d7-8837-4ceb-8fcc-abe21d9173d7 · outbound

This paper cites Klainerman, Mathematical challenges of general relativity, Rendiconti di Matematica, Serie VII, 27 (2007), 105–122.

The Mass-Angular Momentum Inequality for Multiple Black Holes Klainerman, Mathematical challenges of general relativity, Rendiconti di Matematica, Serie VII, 27 (2007), 105–122

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 5d8bed24-cd55-4def-8fdc-642bf73216be · outbound

This paper cites Li, and G.

The Mass-Angular Momentum Inequality for Multiple Black Holes Li, and G

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.251228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d8f0dbb9-cb77-4e10-9f98-6929cb1a0189 · outbound

This paper cites Mars, Present status of the Penrose inequality , Classical Quantum Gravity, 26 (2009), no.

The Mass-Angular Momentum Inequality for Multiple Black Holes Mars, Present status of the Penrose inequality , Classical Quantum Gravity, 26 (2009), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.240757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 520403a0-a09e-41e5-9519-092ebf45e6fd · outbound

This paper cites Penrose, Gravitational collapse - the role of general relativity , Riv.

The Mass-Angular Momentum Inequality for Multiple Black Holes Penrose, Gravitational collapse - the role of general relativity , Riv

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 612eea39-c9b9-4d36-8dd2-2124e333d329 · outbound

This paper cites Penrose, Naked singularities, Ann.

The Mass-Angular Momentum Inequality for Multiple Black Holes Penrose, Naked singularities, Ann

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.219013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e23b0441-c711-40b6-b2e0-dfab65822730 · outbound

This paper cites Penrose, Some unsolved problems in classical general relativity , Seminar on Differential Geometry, Ann.

The Mass-Angular Momentum Inequality for Multiple Black Holes Penrose, Some unsolved problems in classical general relativity , Seminar on Differential Geometry, Ann

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.208157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation e7701725-1f9a-4066-9523-ec05b6c2b29b · outbound

This paper cites Schoen, and S.-T.

The Mass-Angular Momentum Inequality for Multiple Black Holes Schoen, and S.-T

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.197073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d8fe7b69-b6e9-4ce7-ac36-4761e915cd6f · outbound

This paper cites Schoen, and X.

The Mass-Angular Momentum Inequality for Multiple Black Holes Schoen, and X

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.187609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6bd1f2b5-90c0-42aa-be6f-41de8fefeb6f · outbound

This paper cites Sokolowsky, Extensions of the mass angular momentum inequality in mathematical relativity , Stony Brook University, Dissertation, ProQuest LLC, 2019, 68 pp.

The Mass-Angular Momentum Inequality for Multiple Black Holes Sokolowsky, Extensions of the mass angular momentum inequality in mathematical relativity , Stony Brook University, Dissertation, ProQuest LLC, 2019, 68 pp

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.177755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 1780cc92-2792-49ae-b221-742e6e54186f · outbound

This paper cites Weinstein, On rotating black holes in equilibrium in general relativity , Comm.

The Mass-Angular Momentum Inequality for Multiple Black Holes Weinstein, On rotating black holes in equilibrium in general relativity , Comm

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.166552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:44:00.062806Z digest=sha256:5d87a0943ac0adb6cee1568a50de98b990a6587edeb52718b07f9bb721cfe3b0

Observation 88648edf-50af-4370-b82c-9030ea584ef7 · outbound

This paper cites Weinstein, On the Dirichlet problem for harmonic maps with prescribed singularities , Duke Math.

The Mass-Angular Momentum Inequality for Multiple Black Holes Weinstein, On the Dirichlet problem for harmonic maps with prescribed singularities , Duke Math

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.155855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:44:00.066470Z digest=sha256:85585ffed04d43b97285f969c0629fdc68442897b0f45820481b4c99cdd9384a

Observation 9e977c34-5e7f-4080-bf0a-625ea856f579 · outbound

This paper cites Weinstein, Harmonic maps with prescribed singularities into Hadamard manifolds , Math.

The Mass-Angular Momentum Inequality for Multiple Black Holes Weinstein, Harmonic maps with prescribed singularities into Hadamard manifolds , Math

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.144912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:44:00.070301Z digest=sha256:e65cb28005c046b9380059c1f18810baaaf1f0d1d2051a85b1212dbd452eb106

Observation 42ea9516-621e-4480-9db2-a7940dcaebd8 · outbound

This paper cites Weinstein, Harmonic maps with prescribed singularities and applications in general relativity , Advanced Studies in Pure Mathematics, 85 (2020), 479–489.

The Mass-Angular Momentum Inequality for Multiple Black Holes Weinstein, Harmonic maps with prescribed singularities and applications in general relativity , Advanced Studies in Pure Mathematics, 85 (2020), 479–489

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.132978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:44:00.073895Z digest=sha256:0dab719222f99469ec60c0fd08b8f9e031e52c637d57c47cbedf7a1ac019aea5

Observation fa351173-30eb-4824-ad8e-a92b9a4f60ba · outbound

This paper cites Witten, A simple proof of the positive energy theorem , Comm.

The Mass-Angular Momentum Inequality for Multiple Black Holes Witten, A simple proof of the positive energy theorem , Comm

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T14:44:00.121287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T14:44:00.077458Z digest=sha256:cbc654b075b95eeb24977f0b78d45d8d6470f7e02cf3e408e78e89471c357516

Pith citing papers

Observation b559f3c7-70b7-48d8-9061-310aa402a7ad · inbound

On Kerr black hole formation with complete apparent horizon and a new approach toward Penrose inequality cites this paper.

On Kerr black hole formation with complete apparent horizon and a new approach toward Penrose inequality The Mass-Angular Momentum Inequality for Multiple Black Holes

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:59:50.922499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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