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Paper Citation Record · LEDGER

Mitigating Gradient Pathology in PINNs through Aligned Constraint

As of 9 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2605.25001.

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

pith.paper-citation-record.v1
2605.25001 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T12:39:26.604336Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved1
  • parse uncertain0
  • malformed identifier4
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de622ccc-29bf-45ca-bdf7-f9634e6afce9 · outbound

This paper cites Neural operator: Graph kernel network for partial differential equations.

Mitigating Gradient Pathology in PINNs through Aligned Constraint Neural operator: Graph kernel network for partial differential equations

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T05:05:59.355392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:c3a103ec4ae374afde549ac6f89a99d09bf9780b66de9a64da94fa732d4545c3

Observation b6ab4ca4-674d-4908-b813-a2b9fb4818af · outbound

This paper cites Physics-Informed Transformer Networks.

Mitigating Gradient Pathology in PINNs through Aligned Constraint Physics-Informed Transformer Networks

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T05:05:59.351555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:19b53739811804c9d35ecdf1fa5bc7de8b2b024b4c3f3f6f42bacb1ac0a1a749

Observation f9a6ac86-6df1-4112-9bc4-6de424a17683 · outbound

This paper cites Adapting Auxiliary Losses Using Gradient Similarity.

Mitigating Gradient Pathology in PINNs through Aligned Constraint Adapting Auxiliary Losses Using Gradient Similarity

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T12:44:39.342787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:d7d530a64b6bd23fcaefe29a625738abe480cf6183c34f2d18f71062f65b6dac

Observation c673a9c1-778e-47b4-8296-f7282aaac400 · outbound

This paper cites an unresolved cited work.

Mitigating Gradient Pathology in PINNs through Aligned Constraint Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-09T05:05:59.357285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:ef55028c98478da2468589214b74d2307677ac561e773ae00e14e831c0d2d49b

Observation fc067f73-d512-4109-a364-3b7c2ddf4eef · outbound

This paper cites This benchmark tests models’ ability to handle spatially varying anisotropic operators and nontrivial domain geometries.

Mitigating Gradient Pathology in PINNs through Aligned Constraint This benchmark tests models’ ability to handle spatially varying anisotropic operators and nontrivial domain geometries

Reference 5

Resolution
malformed identifier
raw_fallback, observed 2026-07-09T05:05:59.349612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:8e6a6affb457c81baf33cfcadd793663c18604ddf24885b4d6512c06c0630ec6

Observation 86628908-d79a-4f27-b9eb-d4a377702541 · outbound

This paper cites an unresolved cited work.

Mitigating Gradient Pathology in PINNs through Aligned Constraint Unresolved cited work

Reference 6

Resolution
malformed identifier
arxiv_id, observed 2026-06-30T12:44:39.348383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:19b4f02b20ab9a375c4ee16365037501826bdf643e6c0370f7ec7d25808ac09c

Observation 2bd5fe3b-8395-413a-9af9-c0c91865e389 · outbound

This paper cites an unresolved cited work.

Mitigating Gradient Pathology in PINNs through Aligned Constraint Unresolved cited work

Reference 7

Resolution
malformed identifier
arxiv_id, observed 2026-06-30T12:44:39.345417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:e7af786720ead3696261a1852912bda17cbf930127e3494c0d9c6cfbf6e09450

Observation cc8da4c9-cef8-41c6-b755-5fd0aecd08d6 · outbound

This paper cites The definitions of Stp and L2 are consistent with those in the main experiment.

Mitigating Gradient Pathology in PINNs through Aligned Constraint The definitions of Stp and L2 are consistent with those in the main experiment

Reference 8

Resolution
malformed identifier
raw_fallback, observed 2026-07-09T05:05:59.353240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T12:39:26.604336Z digest=sha256:ab1bf67ea1c398c0f762599eb72a9e482f1071ae3b8e062bde9527c517f32793

Pith citing papers

No inbound Pith citation observations are available.