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Paper Citation Record · LEDGER

Exact solution of the Heat Equation for initial polynomials or splines

As of 14 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2411.15169.

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

pith.paper-citation-record.v1
2411.15169 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:09:14.711539Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved1
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff18da96-7ddf-4091-be63-38850eae9efc · outbound

This paper cites Encyclopedia of Mathematics, encyclopediaofmath.org.

Exact solution of the Heat Equation for initial polynomials or splines Encyclopedia of Mathematics, encyclopediaofmath.org

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.815247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T21:09:14.686166Z digest=sha256:f80fbed314dd27f21cffe3ad77786dff1240eb11cd7c2aebc2eaccf4f64068b2

Observation 9f3e76c6-d248-4072-b77f-8fc9903f322f · outbound

This paper cites Encyclopedia of Mathematics, encyclopediaofmath.org.

Exact solution of the Heat Equation for initial polynomials or splines Encyclopedia of Mathematics, encyclopediaofmath.org

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.799265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T21:09:14.691028Z digest=sha256:62d48ed4f718b0fba869e662d40919607fe0f3b63517cfc4c99d6e4f716c8a67

Observation a3e85560-8eaa-4103-9429-3a86a0f625e8 · outbound

This paper cites and Stegun I.A.

Exact solution of the Heat Equation for initial polynomials or splines and Stegun I.A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.784493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T21:09:14.696078Z digest=sha256:b169c80ac2c0f03b0487a490c8587b7c7bc4e92e85653dec3879645b7d15f217

Observation 10d700da-82ac-4691-87cd-54f0983f5062 · outbound

This paper cites Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian.

Exact solution of the Heat Equation for initial polynomials or splines Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T21:09:14.702168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:09:14.702168Z digest=sha256:dfa5824d6c3f17fe83d2664cda25ed9c8996fe19ffd281f17e1c1fd9abba33ac

Observation af8e9102-b81e-40ad-8de7-9b55744d064a · outbound

This paper cites Springer, NY (1998).

Exact solution of the Heat Equation for initial polynomials or splines Springer, NY (1998)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.770333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T21:09:14.707123Z digest=sha256:95adc3f1cd5432be99502dc73c1ae0c89f77003085c9c5ec61a56e0277ce57f5

Observation fb2e10da-3862-411a-9554-b2ed50937c76 · outbound

This paper cites an unresolved cited work.

Exact solution of the Heat Equation for initial polynomials or splines Unresolved cited work

Reference 6

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T21:09:14.755988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T21:09:14.711539Z digest=sha256:55f50da1690590c63708e063b3d21e657ae0df6956a4eaa3f094c9d2cff67abc

Pith citing papers

No inbound Pith citation observations are available.