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Paper Citation Record · LEDGER

Hidden conformal symmetry on the black hole photon sphere

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2112.12543.

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

pith.paper-citation-record.v1
2112.12543 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:21:20.136395Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T14:13:30.766850Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 54984f4c-2a7e-4dcc-a5d0-ef37c25dbf02 · inbound

Bounds for Lyapunov exponent of circular light orbits in black holes cites this paper.

Bounds for Lyapunov exponent of circular light orbits in black holes Hidden conformal symmetry on the black hole photon sphere

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T16:21:20.136395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T16:21:20.136395Z digest=sha256:fef1d3c979916784def406e2f45223a09ecef2d5a583df2cc0f1a868bcd07970

Observation cca7bd94-0ada-401c-a922-893f6977d4d6 · inbound

Photon rings in a holographic toy model cites this paper.

Photon rings in a holographic toy model Hidden conformal symmetry on the black hole photon sphere

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T05:29:42.070641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:29:42.070641Z digest=sha256:4b6aa320b3aea475528a5b1c3bd87c2273c6d539e510fc90ea46c9003c422b93

Observation 34dc7aaf-c96a-4345-abf8-80cbedd80b63 · inbound

Black Hole Photon Rings Saturate the Quantum Chaos Bound cites this paper.

Black Hole Photon Rings Saturate the Quantum Chaos Bound Hidden conformal symmetry on the black hole photon sphere

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:13:30.768294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-29T06:48:15.636579Z digest=sha256:29dd4b8869a1b4ef681a33bbbe26649992599a83a486d5c8af26bc65845d91a0

Observation e7428abf-d02f-4111-99f9-36e2123bf068 · inbound

Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries cites this paper.

Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries Hidden conformal symmetry on the black hole photon sphere

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-04T04:35:28.442961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T04:35:28.442961Z digest=sha256:1d9ee2ce1f7ccb359ed7af0627918d4a5d5d6e604fce2f9b47b73922b0f17c2d