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Paper Citation Record · LEDGER

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

As of 4 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 2 inbound Pith citation observations for arXiv:2501.12213.

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

pith.paper-citation-record.v1
2501.12213 v2

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T04:50:40.516949Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:34:00.131369Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

65 of 65 outbound references displayed

  • verified exact48
  • verified fuzzy11
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 933626d8-84d9-4713-98e3-549e3a5ac7b8 · outbound

This paper cites Planck 2018 results. VI. Cosmological parameters.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Planck 2018 results. VI. Cosmological parameters

Reference 1

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local_arxiv, observed 2026-05-23T04:52:34.183432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation df2e6eee-99ff-40e7-ad40-482ce61aa7ed · outbound

This paper cites Review of Observational Evidence for Dark Matter in the Universe and in upcoming searches for Dark Stars.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Review of Observational Evidence for Dark Matter in the Universe and in upcoming searches for Dark Stars

Reference 2

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local_arxiv, observed 2026-05-23T04:52:34.134619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 1e4fa06b-2eba-467e-ba77-c36e944fb75f · outbound

This paper cites The Structure of Cold Dark Matter Halos.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms The Structure of Cold Dark Matter Halos

Reference 3

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local_arxiv, observed 2026-05-23T04:52:33.972327Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation c95f1b2c-26d6-4f38-ac24-3629a357b719 · outbound

This paper cites A direct empirical proof of the existence of dark matter.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms A direct empirical proof of the existence of dark matter

Reference 4

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local_arxiv, observed 2026-05-23T04:52:34.035362Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 83bdec92-034c-41c6-bab2-6442420d6e01 · outbound

This paper cites Black holes, gravitational waves and fundamental physics: a roadmap.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black holes, gravitational waves and fundamental physics: a roadmap

Reference 5

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local_arxiv, observed 2026-05-23T04:52:34.129855Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 1413ff77-3ea7-419d-94cd-0e6aabde4d5a · outbound

This paper cites Testing the nature of dark compact objects: a status report.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Testing the nature of dark compact objects: a status report

Reference 6

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local_arxiv, observed 2026-05-23T04:52:34.172938Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 4c20ff24-ac4b-42de-ba0a-325d9cda392c · outbound

This paper cites Looking for ultralight dark matter near supermassive black holes.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Looking for ultralight dark matter near supermassive black holes

Reference 7

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arxiv_id, observed 2026-05-23T04:52:34.178545Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 11bc795d-0ff1-45cb-82ed-c7830725d323 · outbound

This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 8

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local_arxiv, observed 2026-05-23T04:52:34.157988Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 8958d005-b8cc-4a78-a87a-869e6dfffd32 · outbound

This paper cites First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

Reference 9

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local_arxiv, observed 2026-05-23T04:52:34.061645Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation da89d9e7-e8d7-4dc6-9804-c414a18be8bd · outbound

This paper cites Akiyamaet al.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Akiyamaet al

Reference 10

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raw_fallback, observed 2026-05-23T04:52:34.820000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation d15fa26f-7e12-4901-9808-097b9f96fc17 · outbound

This paper cites Quasinormal modes of black holes: from astrophysics to string theory.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Quasinormal modes of black holes: from astrophysics to string theory

Reference 11

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local_arxiv, observed 2026-05-23T04:52:34.085113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation f4837d9e-5aad-4b21-bcaf-56568fcf74bc · outbound

This paper cites Imprint of Accretion Disk-Induced Migration on Gravitational Waves from Extreme Mass Ratio Inspirals.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Imprint of Accretion Disk-Induced Migration on Gravitational Waves from Extreme Mass Ratio Inspirals

Reference 12

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local_arxiv, observed 2026-05-23T04:52:34.080929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 418867e4-d4a9-4759-a7b3-6644f991e236 · outbound

This paper cites Eccentricity evolution of compact binaries and applications to gravitational-wave physics.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Eccentricity evolution of compact binaries and applications to gravitational-wave physics

Reference 13

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arxiv_id, observed 2026-05-23T04:52:33.992336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation ba8f5217-749e-4b7e-b43a-e8583dbb8030 · outbound

This paper cites Priorities in gravitational waveforms for future space-borne detectors: vacuum accuracy or environment?.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Priorities in gravitational waveforms for future space-borne detectors: vacuum accuracy or environment?

Reference 14

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arxiv_id, observed 2026-05-23T04:52:34.099119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation fa48c446-1be8-44a1-be80-1a9519b6ba6d · outbound

This paper cites A new probe of dark matter properties: gravitational waves from an intermediate mass black hole embedded in a dark matter mini-spike.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms A new probe of dark matter properties: gravitational waves from an intermediate mass black hole embedded in a dark matter mini-spike

Reference 15

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local_arxiv, observed 2026-05-23T04:52:33.977601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 82a0f7ac-f066-4879-afba-f97634fc2a97 · outbound

This paper cites Into the lair: gravitational-wave signatures of dark matter.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Into the lair: gravitational-wave signatures of dark matter

Reference 16

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local_arxiv, observed 2026-05-23T04:52:34.153167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 9da6b730-89aa-4e9d-98f0-ea1be72377d7 · outbound

This paper cites Dynamical friction from scalar dark matter in the relativistic regime.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Dynamical friction from scalar dark matter in the relativistic regime

Reference 17

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arxiv_id, observed 2026-05-23T04:52:34.163142Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation bb27366f-13b0-4eb3-a6d1-ad976c8ce10c · outbound

This paper cites Probing Dark Matter Spikes via Gravitational Waves of Extreme Mass Ratio Inspirals.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Probing Dark Matter Spikes via Gravitational Waves of Extreme Mass Ratio Inspirals

Reference 18

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arxiv_id, observed 2026-05-23T04:52:34.070662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 774f73cf-d18f-4d8b-a620-1dabb6116b25 · outbound

This paper cites Extreme mass ratio inspirals in galaxies with dark matter halos.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Extreme mass ratio inspirals in galaxies with dark matter halos

Reference 19

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arxiv_id, observed 2026-05-23T04:52:34.094442Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation a314fa05-3dff-41b8-9b10-cc4e8084bad4 · outbound

This paper cites Black Hole Space-time In Dark Matter Halo.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black Hole Space-time In Dark Matter Halo

Reference 20

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local_arxiv, observed 2026-05-23T04:52:34.124830Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 14c7e602-e3db-46ae-9a48-ceb226c5cc74 · outbound

This paper cites Deformed black hole immersed in dark matter spike.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Deformed black hole immersed in dark matter spike

Reference 21

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arxiv_id, observed 2026-05-23T04:52:34.019045Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 0cfbc4ed-a83f-45f3-a779-14dc3fb97fab · outbound

This paper cites Black holes in galaxies: environmental impact on gravitational-wave generation and propagation.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black holes in galaxies: environmental impact on gravitational-wave generation and propagation

Reference 22

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arxiv_id, observed 2026-05-23T04:52:34.194307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation d3e4ca2c-aca9-4d71-ac37-a30c3798166f · outbound

This paper cites Black holes surrounded by Einstein clusters as models of dark matter fluid.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black holes surrounded by Einstein clusters as models of dark matter fluid

Reference 23

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arxiv_id, observed 2026-05-23T04:52:34.108797Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 084e9fe9-c56c-4470-a07f-7510b958ffc1 · outbound

This paper cites Dark matter annihilation at the galactic center.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Dark matter annihilation at the galactic center

Reference 24

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local_arxiv, observed 2026-05-23T04:52:34.007896Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 2d908880-6a65-4afb-a871-1a1e2b9520e6 · outbound

This paper cites Dark matter distributions around massive black holes: A general relativistic analysis.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Dark matter distributions around massive black holes: A general relativistic analysis

Reference 25

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local_arxiv, observed 2026-05-23T04:52:34.013607Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 395272f9-37d6-4697-8688-aefa9d6d9201 · outbound

This paper cites Ringing of a black hole in a dark matter halo.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Ringing of a black hole in a dark matter halo

Reference 26

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arxiv_id, observed 2026-05-23T04:52:34.147689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 4d74b1a1-a00f-4671-bd2f-d1aa42f6a28e · outbound

This paper cites Bondi, Mon.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Bondi, Mon

Reference 27

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raw_fallback, observed 2026-05-23T04:52:34.787700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation c36352fe-58d6-4a2c-8d32-c6d75932ac8b · outbound

This paper cites Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes

Reference 28

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arxiv_id, observed 2026-05-23T04:52:34.199299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 20fd29cc-09a5-4447-ba6f-2382ce092d26 · outbound

This paper cites an unresolved cited work.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Unresolved cited work

Reference 29

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unresolved
raw_fallback, observed 2026-05-23T04:52:34.816832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation e53fdc5d-d466-4b25-98e5-d70c034214d2 · outbound

This paper cites Black hole surrounded by the pseudo-isothermal dark matter halo.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black hole surrounded by the pseudo-isothermal dark matter halo

Reference 30

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arxiv_id, observed 2026-05-23T04:52:34.002290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 167cb4fe-8fed-4524-8a44-f8baf2772f33 · outbound

This paper cites Einasto, Trudy Astrofizicheskogo Instituta Alma-Ata 5, 87 (1965).

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Einasto, Trudy Astrofizicheskogo Instituta Alma-Ata 5, 87 (1965)

Reference 31

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raw_fallback, observed 2026-05-23T04:52:34.810062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 76e094e9-a11c-40e0-92ef-b4592c57819b · outbound

This paper cites an unresolved cited work.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Unresolved cited work

Reference 32

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arxiv_id, observed 2026-05-23T04:52:33.987739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:e89abf5c62417ec2f4b32bfb151da2a3c964d800efadc29210700877491985f9

Observation dbe8bcdc-30b7-48d9-9df4-c0b042f30916 · outbound

This paper cites Black holes surrounded by generic dark matter profiles: appearance and gravitational-wave emission.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black holes surrounded by generic dark matter profiles: appearance and gravitational-wave emission

Reference 33

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arxiv_id, observed 2026-05-23T04:52:34.167850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:1151748b00d9aa565e4e00db936286325e373ae15b29c111ab824a106937a7fd

Observation a07894f2-15c5-47e7-957f-70746ef9db46 · outbound

This paper cites Spacetime metrics and ringdown waveforms for galactic black holes surrounded by a dark matter spike.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Spacetime metrics and ringdown waveforms for galactic black holes surrounded by a dark matter spike

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:33.982719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:26361e4aa10f3c8faab386e474426a67b744d9b0473adf8fb6a99ca858d36b57

Observation 854e1780-3377-4a80-b73b-0bbf4a49c19b · outbound

This paper cites Solutions of the Einstein equations for a black hole surrounded by a galactic halo.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Solutions of the Einstein equations for a black hole surrounded by a galactic halo

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.049821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:876824843cfdf892fae96a2a9fe05fb30252177eee66b40470d72dfe8a808270

Observation 3b97f185-67a6-403d-97f4-6f4c7af78e5a · outbound

This paper cites On the gravitational field of a mass point according to Einstein's theory.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms On the gravitational field of a mass point according to Einstein's theory

Reference 36

Resolution
metadata mismatch
local_arxiv, observed 2026-05-23T04:52:34.024159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:760ec3d2bf9dfe3dea5a01802df593e7604e191eed37f526052df4e448431e84

Observation 7c56277b-09f5-4328-9489-3979fdcf082d · outbound

This paper cites The eccentricity enhancement effect of intermediate-mass-ratio-inspirals: dark matter and black hole mass.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms The eccentricity enhancement effect of intermediate-mass-ratio-inspirals: dark matter and black hole mass

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.118829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:a9cbf023fdadbe8a7d5f9ddd89f21d55d0277a355a21431ebcdbfbb803e9f816

Observation ae514f13-fcf5-44ae-b569-4faadb0a64b6 · outbound

This paper cites Black Hole Surrounded by a Dark Matter Halo in the M87 Galactic Center and its Identification with Shadow Images.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Black Hole Surrounded by a Dark Matter Halo in the M87 Galactic Center and its Identification with Shadow Images

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.113964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:5932e36bc168bcc24be39b0e803b57b6d95cee136b8bc983034d40e514dfde8c

Observation daf69c2e-c98f-4bc2-8d8e-b6c726d1ab8e · outbound

This paper cites The mass distribution and gravitational potential of the Milky Way.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms The mass distribution and gravitational potential of the Milky Way

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-05-23T04:52:34.029630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:7d67335a284614cd672df2883d31dce5ce5f9ac33fd1acc5a9591f6b23148c23

Observation 410b3779-cfff-476a-aff3-115de8ac31d1 · outbound

This paper cites Exploring dark matter spike distribution around the Galactic centre with stellar orbits.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Exploring dark matter spike distribution around the Galactic centre with stellar orbits

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.040145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:c058edc5c67fc3564d4afd727061c4a5f9cc2956851d1a778d11beeceb2d3cdc

Observation 95d9d474-e49d-48c1-a989-037c24476e62 · outbound

This paper cites Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.044770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:b3d4c366c470884c36d3e968bbe60ecaaa9cdef278f3484347a482b173316e8d

Observation 38d9a559-316a-4c9d-8a38-1e2ed62bc245 · outbound

This paper cites Davis, R.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Davis, R

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.801012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:1385e730818b0a95cf0b4abc398e6286643bd3d81b46b4de337a607f97dab1ac

Observation 0cd127cc-ee0f-499f-90a8-6649587b7952 · outbound

This paper cites an unresolved cited work.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:34.806695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:143bf02170aa828ba4bbd55950e49d48de6bba4459ecfa75d3a02edbb28cbcd2

Observation 28b6d786-b215-4ee4-ba5a-090232517ff4 · outbound

This paper cites 108,1063(1957).

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms 108,1063(1957)

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.813495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:cd6e082b1790bf96177c9cb5c870965152587d208896d16cfdc5af8a8924f17d

Observation c768ca61-d701-485e-8be1-cfe252cd67a8 · outbound

This paper cites Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.089859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:ef9596388e4f652f61324fffef74edeaba2d819c8d05efd75e2457b4179618b4

Observation 5528a2c1-02ba-4bbc-a733-ebf83af6bec8 · outbound

This paper cites The Axial Gravitational Ringing of a Spherically Symmetric Black Hole Surrounded by Dark Matter Spike.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms The Axial Gravitational Ringing of a Spherically Symmetric Black Hole Surrounded by Dark Matter Spike

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:33.997344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:aeb91e5f10b48e7d2899d3bc650aecb7a58ee766a865594723a43fb5e270973f

Observation d980c45b-8e99-4a5e-a7e0-b01cf9b9d62a · outbound

This paper cites Moderski and M.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Moderski and M

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.803693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:4ae4fba6a7423e8ed7dd595d676013792cc1120d83fee928ee6570530950ff00

Observation dcda59d3-ef8b-45e2-8edb-16d911795930 · outbound

This paper cites Moderski and M.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Moderski and M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.794696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:50f60c9a0e754158ca1355005a75a1714a84d5a681929510b9a890febca24073

Observation 9ce5d237-88ee-47ca-b1a7-7641bd1a1052 · outbound

This paper cites Moderski and M.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Moderski and M

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.797677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:5b3f9e728424b846ccfea7fa9062843a67b2384848a0f50942674a3f1b9f03f3

Observation e458ac31-a5b2-451c-be6e-57571ade01bf · outbound

This paper cites an unresolved cited work.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:34.791459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:24d0bbd0a6ba36193256ecb756b27f99e85946dbe01f165d458c279b70f2a0ed

Observation 9fb36f0f-0add-4261-a5e9-0b29e20d3d76 · outbound

This paper cites Berti, V.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Berti, V

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.783990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:8af071a833726aa28e582eff812b58a18d6cc046f6058b61e8c0e8548e9b027b

Observation 2857dae8-ad53-41ac-b45d-919e88c6a30d · outbound

This paper cites Echoes from a singularity.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Echoes from a singularity

Reference 52

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.210788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:3d12b1180b81a6d4fce3f9d40526aaf1b901b24d4cd171f7d842ec4caf620d88

Observation b281a05d-7307-4d00-94ea-62df4cea996f · outbound

This paper cites an unresolved cited work.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:34.826643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:285a60d16651b6650c454b417e5ab8516c6ae329409ca3255316c212f2364b58

Observation 8b2ab155-ebb1-4235-8968-c3661b7a33af · outbound

This paper cites an unresolved cited work.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-05-23T04:52:34.823257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:73fc424250e75adde208865f9301f51766aba3a4af5f8da9cfc31101f77289e8

Observation 18514601-8154-4341-9390-fbeb44575b06 · outbound

This paper cites Quasinormal modes of black holes and black branes.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Quasinormal modes of black holes and black branes

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-05-23T04:52:34.103788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:58a781db0093e75edae12994a81d7d8266ffcb22cd187ea5da86ff66e05f025e

Observation a4c4e1df-ce07-4bb0-8877-9ce2ae30b0ab · outbound

This paper cites Quasinormal modes and shadow of a Schwarzschild black hole with GUP.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Quasinormal modes and shadow of a Schwarzschild black hole with GUP

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.189337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:89d46418b2e7e25e175e7a13e93c0c04c955819f6fa686a213568333e62362cf

Observation 8466b68c-1610-497b-bb24-e61b0766a824 · outbound

This paper cites Quasinormal modes, quasibound states, scalar clouds, and superradiant instabilities of a Kerr-like black hole.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Quasinormal modes, quasibound states, scalar clouds, and superradiant instabilities of a Kerr-like black hole

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.206185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:d7ec8149b189e4549f86b3e5fdde969637ca6c8be58e20d8bc6f9b36c34439ac

Observation 151b9f89-adfd-4b06-b90f-6d1fd54b65ee · outbound

This paper cites Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-05-23T04:52:34.055536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:922112daa05dd7bfb28766a64f280064aa04be5964a2ecc2d107eadccad16027

Observation 1e2e90ce-dd97-4ca3-bdf4-3720c791d570 · outbound

This paper cites Gravitational radiation from an axion cloud around a black hole: Superradiant phase.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Gravitational radiation from an axion cloud around a black hole: Superradiant phase

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-05-23T04:52:33.965335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:1efeec84c66fa55823fa9ca40f4c46c9eeaa9d08e84639433b847a679668db9e

Observation 63ebfd15-d53b-4c59-a85e-0f16a0190ec9 · outbound

This paper cites Nollert, Phys.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Nollert, Phys

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.777880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:8b7a3ea58930ba074a3e60508590729fa7530dd3c33c3177917407eefd2c2d55

Observation 495fa19c-2e30-4bb5-ac30-275a9c9edf85 · outbound

This paper cites Zhidenko, Phys.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Zhidenko, Phys

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.075441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:403eb1deb6c0f14a665e778c830691b7da7b231fe7d14036ad2c02a84c245be5

Observation f446b106-9948-41a0-b824-66f4d7c4b447 · outbound

This paper cites Iyer, Phys.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Iyer, Phys

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T04:52:34.781242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:3f598ba7197d1a1987f9a48838d365e7afe80654349ba73c3ac0dc711cec4e44

Observation 71cc8611-9124-49f4-97fc-21172c58596e · outbound

This paper cites On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-05-23T04:52:33.939346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:7208ee1fcb3411c120a7518da5af929e564bf3b698559ba13c9b72aceb576d78

Observation aa3ab8a6-3707-4c93-b1d4-245b7a3da3d9 · outbound

This paper cites Imprints of dark matter on gravitational ringing of supermassive black holes.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Imprints of dark matter on gravitational ringing of supermassive black holes

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.065866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:cdddadccd4e443919b012ed5e07a61d54846b84cd52c97ff15bd6a5ac43e74da

Observation cde74d7e-46fd-4c00-be78-14328533de20 · outbound

This paper cites Science with the TianQin observatory: Preliminary results on testing the no-hair theorem with ringdown signals.

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Science with the TianQin observatory: Preliminary results on testing the no-hair theorem with ringdown signals

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:52:34.139703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-23T04:50:40.516949Z digest=sha256:d1b2687bc3c2950a1e1a10e1fba13f8ed5aebc2f8862eb337626fa73b7bf4bbf

Pith citing papers

Observation a7363a86-ecd6-4471-9327-de39865824b1 · inbound

Beyond general relativity: gravitational waves in non-minimally coupled theories cites this paper.

Beyond general relativity: gravitational waves in non-minimally coupled theories Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T07:34:00.131369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:34:00.131369Z digest=sha256:bcc25e1a72c5f15b58609576e4fd382eca31101db9496be6eb3b76bc21768ccc

Observation c9543db9-bef5-4a48-856b-17d7b09ce592 · inbound

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects cites this paper.

Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-03T22:05:52.504610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:05:52.504610Z digest=sha256:d589aedc27662a00787094ff77ef5c430d0f6812c8446558edb873ed44f61b89