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Paper Citation Record · LEDGER

PT symmetry as a necessary and sufficient condition for unitary time evolution

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:0912.2635.

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

pith.paper-citation-record.v1
0912.2635 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:42:50.973426Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T21:45:58.748738Z

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 d27279d9-8af7-40cb-b667-7a3bda4890d9 · inbound

Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory cites this paper.

Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory PT symmetry as a necessary and sufficient condition for unitary time evolution

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-11T12:42:50.973426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:42:50.973426Z digest=sha256:9870ca700ce47af1f13ff8e89a3babb7af20facb9ca633a42def94bc6a57fe95

Observation c86bb781-9ac0-4f21-9d26-e13c7a506a70 · inbound

Remarks on ghost resonances cites this paper.

Remarks on ghost resonances PT symmetry as a necessary and sufficient condition for unitary time evolution

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:45:58.755947Z

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.

source=pdf_text observed=2026-08-10T21:45:58.371384Z digest=sha256:8985a799a27043109ecc7f3c2feb904abbda3759a74046889d23b2ebbd98cce0