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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 2026-08-12T06:34:41.77262+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=sha256:17f24148227ab69ca8e353d204c51249219a3eb27cbabd471723d61cd05f31a0

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=sha256:04b552fc8a6d9d4a966923f4c4e2856f9407178ddece36a3dba90decf85c47e5

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:d31e0f65453e6990ac96548211fef5ee2c34a5a1cb30d81a7223c2c3b4f1e392

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:e5b4650f05ac4f328db70a384d56d761517fd6cae62905faa44e5bf79a5eae9d

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=sha256:859d63fc3d5a2ef25ce0286d622ef57d12a17fcff44d7526deed571d14b35f98

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=sha256:594d904a375f0382bcea476b8577754024231152afe7e0490f88362c6ae239f4

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:e2f4b2c750df1d972507b40184612b224bec01e0f96483f50fca6d970af11d38

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=sha256:2e81aeb801330a6fe80c299658ea714f7d7a734733233c2ff0c64fe96db768ec

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:bffabfb77e364fdb3e69617acd005d8305e7bb37e27b2e8bad0ae7efa881e23c

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=sha256:234459be5c996b19f1dd7b94a9ba429acaa3f608ee6cdfa31c788261e54c508b

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:c6ef3afb2d7ae7b00c657733ffa61e21d0d788970b27c2b86027666b348cf4d7

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=sha256:8be8fd74f731c2cbbeaf1b74667a97496e68d6e1fc6f0185d87384b390036c7a

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:d933883ea758797742129671378ea699671997d15f4e62f55e9bb172f2aa506d

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=sha256:4ff40f63599ac07e9a0943bdadd9c6a502e98f7cb30390150006415d95ff4a50

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=sha256:0607059ade32c2b7d02b08d246ae31da9c8c3755e0053271c2c6a0b4fd718f31

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:debce1f015cfd12c2892702687edbda1ebf290591ce1f5d5fba4ed30633a9817

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:c28d102b099336fdcaba2df2ec3aa2dd50125f80620ccaca5dfa46505587bad3

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=sha256:009f73ac85c943b9d6ad7cee46e9b1cf9d9d88af03095e15f8c0adb4a8deabd1

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:f587c250f44399703d838c40d7c5885b70e3255c6f226486f4798465ec1ee487