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Paper Citation Record · LEDGER

Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control and more

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1503.04021.

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

pith.paper-citation-record.v1
1503.04021 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:13:51.480364Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a53329a6-1fc5-4449-9a33-c1856f9a6c42 · inbound

Backward error analysis for matrix discretizations of 2-D Euler equations cites this paper.

Backward error analysis for matrix discretizations of 2-D Euler equations Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control and more

Reference 73

Resolution
verified exact
local_arxiv, observed 2026-07-13T02:19:16.739934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-07-13T02:13:51.480364Z digest=sha256:4b471617c952cb0084233d1720bd6e8ecddfcd7923687bd1936e681a7f7dfe1c