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Paper Citation Record · LEDGER

Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1212.3779.

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

pith.paper-citation-record.v1
1212.3779 v1

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 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T11:05:00.463771Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-02T15:47:06.289353Z

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 b81257fb-b10c-426d-9d46-5ea78efb7679 · inbound

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs cites this paper.

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Reference 4

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T15:47:06.290535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-06-27T23:29:34.762688Z digest=sha256:aec53db84b385d8e6470b32dac5375097485395f98beda7711e56446d72a48e6

Observation efcfcd50-c68b-452d-9953-608a8e7584fa · inbound

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs cites this paper.

Liouville-Preserving Hamiltonian Scattering on Finite Metric Graphs Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope

Reference 4

Resolution
metadata mismatch
local_arxiv, observed 2026-06-30T11:54:38.848050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-06-30T11:05:00.463771Z digest=sha256:df1803022abb47e1954cb6d04343b7074d65160b59f1bd397086fd90734fecca