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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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.342815Z digest=sha256:78dfad78ef1f36c15d48d0bdd3cf2f8957c1e39db2bd7db6b544cb5873e9df6f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.346640Z digest=sha256:aa1d1ec245c4422edfbc4b439a090d89475a583e3eb502d50a5c5b77d6cd4014

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.350013Z digest=sha256:c99050c10d85279972f770875bd14609594e0320e0d884d4ab2ebd7796b98a6d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.353508Z digest=sha256:850390b135cf6e46cd8db5f5448423536059e7f179ad003697be02e334907a75

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.357009Z digest=sha256:7a48ab8d91ccdb41a5ca9fa9c323fc9dd379dcd5d919ada8855ac133e625a603

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.360910Z digest=sha256:822840625594760042b5abc1293ceeb677b38624e94833d6fc59497e15cff329

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.364512Z digest=sha256:46cf3e19626cb45435df604325506f63ef65ed08a21e685fce3b302339a2d991

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.367128Z digest=sha256:125a1065a40e8ef6f720ed90c5b96f8ff20cd6efc783f17275db930245eed5dd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.369678Z digest=sha256:b43a8e674e07dc2f6dbe7c8e1961fc68ad6b8a87ae4587daf21f6603c531b71e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.372218Z digest=sha256:962c0473897cac747c5bdfa0b2184cc70269e748e5ce2167b2c880701f4fb770

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.375132Z digest=sha256:04f16df7066230bfbdb481daa91322db25e1681036b53990fa48ffc397135a9f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.378283Z digest=sha256:b2c4934d99417a8f40d6e9a33a1ac6b51244b66c17912b6172e0affdb2da20d7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-08T05:34:26.380886Z digest=sha256:11616df1958c0a1693c5dd125d3d3eb0eb337fa2c464bbc40705391ad82360d8

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.

source=pdf_text observed=2026-08-07T05:18:38.148063Z digest=sha256:f35e1982cb83013467881a784997dc26110cd4b0ecedf3904e1313dfb12ba7ed

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-27T18:20:28.833245Z digest=sha256:e24c00133ff7d2ed7afde31178b5e9ff12e189cf8c3852a0b7dd9fdeb8430783