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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.206664Z digest=sha256:b2c4e3a8d3705ea3b1bc93134a64f6ec222e4b8f3e891a63668f270477c3b9ce

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.266284Z digest=sha256:876e81f4103d19e51e57566ea13e705c8bd0489f81f73897b8cdb82f45a6c092

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.360229Z digest=sha256:7b28fa0c7b87042ad1940b209e30636eb0564240f2572ceba5c0aaf75edcd672

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.458605Z digest=sha256:92f1f3bec2ef65bf31ad9de934f0d829c57fd4c9ad2ea6d1afbab8df5a4211ed

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.519189Z digest=sha256:5f5272db0c9c679aa46b3124cb712a85e93a655471d397124c5416f83fe21bbe

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.620760Z digest=sha256:5afe9ae83c73f26a468c8f6ce949f3c59fcff58e05e76f695c2fa27dee200d22

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.

source=pdf_text observed=2026-08-06T20:21:34.697754Z digest=sha256:596e4d2cd35378ee1bdc355fa72b34ea2d3fd0ee02e479856da1ac84d3756626

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.791216Z digest=sha256:c3439b82d2dd4fad382e33305787d0616e8374dca002fe27280c4884fe13d6ea

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.880318Z digest=sha256:8c81443e59d0ee96e592bf2f504506b334ffc9748fa0e3c882ae293ce5e662bd

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:34.939034Z digest=sha256:3183369a4adad8a05650937fafc1f0a7976c32ab4eb1fa50b04042ab016ffe92

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.033838Z digest=sha256:01e34c1a12158854fc28c0cde8131bafe050cd55f29fe0d95459ff40f654d506

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.133935Z digest=sha256:91cd4334ad7af5a9a698bbf2797b9b1520cc0a5baae79f1e4678fba6c5a0b6da

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.207887Z digest=sha256:e29757775e8929ff02dc7681aab08e13a5df3c87382a2cc242cca7d72b82c795

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.301131Z digest=sha256:3dc40c259439bbf0dc87c610b805c6a38e6fc8a6805813f5e2cb63aa93fb59c2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.395859Z digest=sha256:89e689faff7771787d63b5bc8d6fb1c271b89ff8ba3bc043c8647bef503a421d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.468395Z digest=sha256:69f09143d1b8b9999b7e36deced7cb66529eac8c97264f9e22c6b7b5424465ac

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.575879Z digest=sha256:3ecf18939bbbcc316ee0ece857131a86306ac13d9a8bd532e20adb66fee70885

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:21:35.653419Z digest=sha256:94d33c68ac5cf0fa64f28c7848c4b988dfc996f969455c4edc40b2b960eb3a14

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T15:19:16.196403Z digest=sha256:0810e3a84c806a2f4a10d92d4c257d8df99986bfc2af13f33b3e84f21448bb96