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Paper Citation Record · LEDGER

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients

As of 13 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.13349.

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

pith.paper-citation-record.v1
2607.13349 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:33:23.020985Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e68c7013-a0d3-4d4c-96b8-123049e479c1 · outbound

This paper cites Oxford University Press, Oxford (1946).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Oxford University Press, Oxford (1946)

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c3c233d5-e6eb-422a-8dde-6b21f73295d5 · outbound

This paper cites American Mathematical Society, Providence, RI (2005).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients American Mathematical Society, Providence, RI (2005)

Reference 2

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no resolver link, observed 2026-08-02T05:33:21.695397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:21.695397Z digest=sha256:d78942b7ee65766f785f9f9d7a0e9f9aa38bab34886f6874e062e56a9befd7c0

Observation e96d3e34-e0f6-4040-b5df-312f70fbd550 · outbound

This paper cites Kluwer Academic Publishers, Dordrecht (1991).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Kluwer Academic Publishers, Dordrecht (1991)

Reference 3

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no resolver link, observed 2026-08-02T05:33:21.813568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:21.813568Z digest=sha256:d0e148d8ca11c6b2ff61bc84d0375259175f3fe10dab5ffd8feb4a29788092da

Observation f73f0f4c-be2f-4d83-b119-905ebe80bc18 · outbound

This paper cites Cambridge University Press, Cambridge (1995).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Cambridge University Press, Cambridge (1995)

Reference 4

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no resolver link, observed 2026-08-02T05:33:21.969957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:21.969957Z digest=sha256:dd9dbdaf0f87ca1a2baae86e2928857e5412d01b33a0ebca463ccf2b850c10e0

Observation 201a1a56-15c2-4b0f-80c1-f477ab2ac8e2 · outbound

This paper cites American Mathematical Society, Providence, RI (2024).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients American Mathematical Society, Providence, RI (2024)

Reference 5

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no resolver link, observed 2026-08-02T05:33:22.044624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.044624Z digest=sha256:7dbd360d023c2b1de6fc5faf91425c9e99fe4e145bd1a33b6ab1ea7f1240693b

Observation 24edbad8-a0ca-436b-a1ae-98ae53a24376 · outbound

This paper cites Academic Press, New York (1974); reprinted by A.K.

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Academic Press, New York (1974); reprinted by A.K

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.126351Z digest=sha256:57cd783cbbf5f77fb6eacc0a3f6ca39262ab812693260a4498fc9feedf30371f

Observation 55ac13a3-3664-4dc2-b255-25e920421498 · outbound

This paper cites Springer, Berlin (1993).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Springer, Berlin (1993)

Reference 7

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no resolver link, observed 2026-08-02T05:33:22.214684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.214684Z digest=sha256:f9312d26e968215b31820564f8c04457c69e8c4cc9caf5f99e6a40b66553dd3f

Observation e7f5c242-b2f0-4bc2-a87b-b938f2c7e42d · outbound

This paper cites Springer, New York (1999).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Springer, New York (1999)

Reference 8

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no resolver link, observed 2026-08-02T05:33:22.297748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.297748Z digest=sha256:a43661c38c50377156385439d8b1984a0e586fbef912405eba4c4d66c5e91d2c

Observation b23167dd-bf40-4158-9f13-0b597bb0d3d5 · outbound

This paper cites American Mathematical Society, Providence, RI (2012).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients American Mathematical Society, Providence, RI (2012)

Reference 9

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unresolved
no resolver link, observed 2026-08-02T05:33:22.389587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.389587Z digest=sha256:cb9726736c1d71cbf0c151f20dc3833a191bba38c221d79bf8ea8f890efd30e3

Observation e7f838eb-2bdb-4f23-a055-a7cc3352c342 · outbound

This paper cites an unresolved cited work.

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-08-02T05:38:22.751624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4ebabf42-6215-4498-9bf3-b10ac7709ccf · outbound

This paper cites Low Temp.

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Low Temp

Reference 11

Resolution
verified exact
doi, observed 2026-08-02T05:38:22.567641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-02T05:33:22.619811Z digest=sha256:5395056dc69f7aa57343c89bfe4b8d94a0e1d68b8d57ed2cdbce830846465df7

Observation fe6f3677-3633-4e03-83ed-7520cc4c6e83 · outbound

This paper cites Frederick Ungar Publishing, New York (1968).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Frederick Ungar Publishing, New York (1968)

Reference 12

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no resolver link, observed 2026-08-02T05:33:22.746400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.746400Z digest=sha256:0307f6006b81d4ee9c8cca3af3fed5db59e417e3d971add959cfbde4b723e2d3

Observation e12ed8b7-373c-4a9f-b789-7f017666b5f6 · outbound

This paper cites McGraw –Hill, New York (1955).

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients McGraw –Hill, New York (1955)

Reference 13

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unresolved
no resolver link, observed 2026-08-02T05:33:22.907506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:22.907506Z digest=sha256:d8a8a953752f5e3a80198f7a5a3e63bb823b32ad8bf1f523c94f90ab12e71fe7

Observation aab822ac-134e-42da-bc3a-527892c2da08 · outbound

This paper cites Dover Publications, New York (1992) 30.

Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable Coefficients Dover Publications, New York (1992) 30

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-02T05:33:23.020985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:33:23.020985Z digest=sha256:26289876b68e55d4aa674c9fbb115a61a13a04747afee7f456ff71e42e9b11b2

Pith citing papers

No inbound Pith citation observations are available.