Paper Citation Record · LEDGER

Sharp lower bound for the charged Hawking mass in the electrostatic space

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2507.03353.

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

pith.paper-citation-record.v1
2507.03353 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:21:35.653419Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:19:16.196403Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:19:16.700961Z

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy4
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 962fce40-6a7d-4cab-82a6-8a13e8a20e5e · outbound

This paper cites A Quasi-Local Mass.

Sharp lower bound for the charged Hawking mass in the electrostatic space A Quasi-Local Mass

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T20:21:35.813717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4733e64d-a32a-407d-8c2b-d3187e399189 · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:39.122493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 44245195-839b-4ba8-a728-b769f93eb812 · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:38.790468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 17684a2c-3b17-4a9e-bd2e-cec0d143828a · outbound

This paper cites 7, 075006, MR3471730.

Sharp lower bound for the charged Hawking mass in the electrostatic space 7, 075006, MR3471730

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:38.503554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6202d41a-17b2-447f-b2dc-4abf4e3439c6 · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:38.250072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a831d826-6bbf-46e1-a7b5-c98b9e8d1dde · outbound

This paper cites Chrusciel; Erwann Delay - Non-singular space-times with a negative cosmological constant: II.

Sharp lower bound for the charged Hawking mass in the electrostatic space Chrusciel; Erwann Delay - Non-singular space-times with a negative cosmological constant: II

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:37.942466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2d7e04d9-bc98-48a8-a902-539d0a264431 · outbound

This paper cites Min-max minimal surfaces, horizons and electrostatic systems.

Sharp lower bound for the charged Hawking mass in the electrostatic space Min-max minimal surfaces, horizons and electrostatic systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T20:21:34.697754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f46a4f86-167a-4270-8df9-acab10e3c12b · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:37.582459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3519e7bc-b1e8-4ed0-833b-e08e0a411d95 · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:37.254182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b1cc37aa-7076-40ed-9ae8-b9e6974137ba · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:36.881551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8b0f523f-718d-4d76-99aa-b81bf86c9715 · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:36.744944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b05bb2d7-002b-4a30-8b92-16d1e77789e8 · outbound

This paper cites Classical Quantum Gravity 22 (2005), no.

Sharp lower bound for the charged Hawking mass in the electrostatic space Classical Quantum Gravity 22 (2005), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:36.625584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation be34bcfd-fb36-460b-8b71-87ca9c2feded · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:36.519211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0199d4b1-15eb-49b7-8989-264eee6a692b · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:36.412469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cb4b1dc9-8b7f-4a86-ae7d-4d14e094bb54 · outbound

This paper cites Annals of Mathematics Studies, 102 (1982), 631-668.

Sharp lower bound for the charged Hawking mass in the electrostatic space Annals of Mathematics Studies, 102 (1982), 631-668

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:21:36.298088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 071fa7b7-79ef-4dcf-841b-e9a8e1c36ddf · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:36.182300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 31859345-51e3-4db9-9145-3233bbbe33cd · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:36.000551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a5291174-0664-4ee0-a398-b043bf0dc0f2 · outbound

This paper cites an unresolved cited work.

Sharp lower bound for the charged Hawking mass in the electrostatic space Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:21:35.907213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation ab548dd2-b035-4d40-b387-2bd3f46207e3 · inbound

Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces cites this paper.

Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces Sharp lower bound for the charged Hawking mass in the electrostatic space

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:19:16.706375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.