Paper Citation Record · LEDGER

Monotonicity results for semilinear parabolic equations on metric graphs

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2502.08361.

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

pith.paper-citation-record.v1
2502.08361 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T05:34:26.380886Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:18:38.148063Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:17:29.611761Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy11
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8dff4d10-696e-430d-a5a7-566a39471ae4 · outbound

This paper cites an unresolved cited work.

Monotonicity results for semilinear parabolic equations on metric graphs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:26.628531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 60dde15e-e2fc-4bf4-b455-9d603f737ccd · outbound

This paper cites Berkolaiko & P.

Monotonicity results for semilinear parabolic equations on metric graphs Berkolaiko & P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.619209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db335d70-61fd-4b97-be2d-1bc5126989ae · outbound

This paper cites Cardanobile, The L2-strong maximum principle on arbitrary countable networks , Linear Algebra Appl.435 (2011), 1315-1325.

Monotonicity results for semilinear parabolic equations on metric graphs Cardanobile, The L2-strong maximum principle on arbitrary countable networks , Linear Algebra Appl.435 (2011), 1315-1325

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.610172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23a9e637-fca8-43fa-bcce-2e61760551f2 · outbound

This paper cites an unresolved cited work.

Monotonicity results for semilinear parabolic equations on metric graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-08T05:34:26.599708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 645a1f73-520d-4d8b-a264-b25fba25a723 · outbound

This paper cites Grillo, M.

Monotonicity results for semilinear parabolic equations on metric graphs Grillo, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.589367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c1c2934-8092-4fce-8028-feaa553abe49 · outbound

This paper cites de Mottoni, A.

Monotonicity results for semilinear parabolic equations on metric graphs de Mottoni, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.578700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 595d1bea-ab50-4f2d-9824-adc2c8e6289a · outbound

This paper cites Lakshmikantham, D.

Monotonicity results for semilinear parabolic equations on metric graphs Lakshmikantham, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.568896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4b31f6a4-3749-4cd4-b9e9-5c631960caab · outbound

This paper cites Mugnolo, Semigroup Methods for Evolution Equations on Networks (Springer, 2014).

Monotonicity results for semilinear parabolic equations on metric graphs Mugnolo, Semigroup Methods for Evolution Equations on Networks (Springer, 2014)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.557789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b79147dd-2d2f-455c-b8a6-6c8d8cd71d44 · outbound

This paper cites Muratori, F.

Monotonicity results for semilinear parabolic equations on metric graphs Muratori, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.546905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c5fed52-5195-48e4-8c5b-44f885415670 · outbound

This paper cites Naimark & M.

Monotonicity results for semilinear parabolic equations on metric graphs Naimark & M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.537267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 08203694-4682-460f-afc6-db0ff7eeef98 · outbound

This paper cites Rach˘ unkov´ a & J.

Monotonicity results for semilinear parabolic equations on metric graphs Rach˘ unkov´ a & J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.527404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fdce3448-40d5-4f3a-9e02-3368e11265df · outbound

This paper cites von Below, A maximum principle for semilinear parabolic network equat ions.

Monotonicity results for semilinear parabolic equations on metric graphs von Below, A maximum principle for semilinear parabolic network equat ions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.517478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0f3a5b52-8fb4-4175-8bb6-04fe9230a076 · outbound

This paper cites G. Castelnuovo.

Monotonicity results for semilinear parabolic equations on metric graphs G. Castelnuovo

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:34:26.505745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 8e64cf51-7c3c-49a5-8bad-14cdc9f7ac83 · inbound

Nonexistence results for the semilinear wave equation on graphs cites this paper.

Nonexistence results for the semilinear wave equation on graphs Monotonicity results for semilinear parabolic equations on metric graphs

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T05:18:38.148063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8a83fd8-2398-4921-ba18-bcdd3c803410 · inbound

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs cites this paper.

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs Monotonicity results for semilinear parabolic equations on metric graphs

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-07-02T23:17:29.613053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.