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Paper Citation Record · LEDGER

The spectrum of random lifts

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1012.4097.

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

pith.paper-citation-record.v1
1012.4097 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 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:47:55.589357Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:57:41.200920Z

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 b472ba99-c89f-407a-a667-1d0c4a621a2c · inbound

Cutoff for random lifts of weighted graphs cites this paper.

Cutoff for random lifts of weighted graphs The spectrum of random lifts

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T14:47:55.589357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:47:55.589357Z digest=sha256:54b928314738527818a0945a3f1363a55246941b8049335788fb37b32390ed06

Observation 6e447274-aa61-460c-af85-e41d0a92d073 · inbound

Percolation on random 2-lifts cites this paper.

Percolation on random 2-lifts The spectrum of random lifts

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T11:57:41.264224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T11:57:40.995689Z digest=sha256:f5f90d49fc20b54818e4a0e39936767b84deb6646ed97bf9b3c5708853d8bd73