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Paper Citation Record · LEDGER

Polynomials, roots, and interlacing

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:math/0612833.

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

pith.paper-citation-record.v1
math/0612833 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:11:41.456599Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T11:38:04.537786Z

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 2a41fbed-319b-4c07-a7a4-8bce5f9240eb · inbound

Dragging the roots of a polynomial to the unit circle cites this paper.

Dragging the roots of a polynomial to the unit circle Polynomials, roots, and interlacing

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T14:40:09.887593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:40:09.887593Z digest=sha256:b1168adbd7c8c219ecfc17113df3efdde6b78e7cf241c89b9793a23353f8a21a

Observation d3b827f7-ace3-41f0-9c91-17c9608c6ebe · inbound

Exploring Graphs with Distinct $M$-Eigenvalues: Product Operation, Wronskian Vertices, and Controllability cites this paper.

Exploring Graphs with Distinct $M$-Eigenvalues: Product Operation, Wronskian Vertices, and Controllability Polynomials, roots, and interlacing

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T04:39:51.697542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:39:51.697542Z digest=sha256:cd7b46ba6444bfab879a7782e99439823aa4f0bb20215b7a0e1d455289cee3c7

Observation e12b6d6e-5c00-466e-ba56-30bb73d34f9f · inbound

Asymptotic root distribution of polynomials under repeated polar differentiation cites this paper.

Asymptotic root distribution of polynomials under repeated polar differentiation Polynomials, roots, and interlacing

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T17:11:41.456599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:11:41.456599Z digest=sha256:ccb831fd474a55195c8d670f1033da5bfbfa668208d1dfaef5efb69067e82f61

Observation c1863376-8fc9-428e-85d5-1399679bc924 · inbound

Separating zeros of polynomials using an added interlacing point cites this paper.

Separating zeros of polynomials using an added interlacing point Polynomials, roots, and interlacing

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:33:02.321519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-13T17:31:18.203815Z digest=sha256:6f172e2980220c893308c42010496737398e8a56bd8dfa698c84facf6107c071

Observation c312b7a0-cf0b-4ae7-8118-95e39df4b244 · inbound

Total positivity of transformation matrices for uniform subdivisions cites this paper.

Total positivity of transformation matrices for uniform subdivisions Polynomials, roots, and interlacing

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-03T11:38:04.539375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-03T11:30:16.109517Z digest=sha256:bc6ac16d6184638e53bcea86b3c2f201a905f34b8bff2c381ed477b0dcfac5ba