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Paper Citation Record · LEDGER

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series

As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2606.23880.

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

pith.paper-citation-record.v1
2606.23880 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T08:43:44.793586Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T08:17:34.949746Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 329caa0f-65ef-4f03-a03f-59580a92f772 · outbound

This paper cites Efficient Causal Discovery for Autoregressive Time Series.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Efficient Causal Discovery for Autoregressive Time Series

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-04T10:39:44.659041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:9d638148b8a21784a11e5e4d9ff1ee2d8db1dea2434662f8c3882162e88c4ff7

Observation 39f59a81-828c-479b-9f42-1295305d71ea · outbound

This paper cites Causal Discovery from Temporal Data: An Overview and New Perspectives.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Causal Discovery from Temporal Data: An Overview and New Perspectives

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-04T10:39:44.660617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:49bc41ea0605b325f35c4d6eed19b6b920fc44f1974765e4828d62066d7cc375

Observation 5e0b02bf-5479-4df2-90ea-4c1275c1a1de · outbound

This paper cites an unresolved cited work.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:6898c034edb396109599aba65b76a49f19a465ef7ffc210bb7aa55f9af175e3e

Observation 76969ce4-f28a-4800-96c7-074dcf8c1d89 · outbound

This paper cites The runtime is dominated by the CDNOTS skeleton at highd; the gated training phase itself scales linearly in the number of skeleton edges.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series The runtime is dominated by the CDNOTS skeleton at highd; the gated training phase itself scales linearly in the number of skeleton edges

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:c07d3c334ec815956b6beb78a69a4e444572d932239c21b8a38f113be9ad19f2

Observation c529da32-57f7-4e7f-88d3-aaf5ddcee5fd · outbound

This paper cites Lag misspecification robustness.In practice, the true maximum causal lagLis unknown and must be specified by the practitioner.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Lag misspecification robustness.In practice, the true maximum causal lagLis unknown and must be specified by the practitioner

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:3403ea0ec15caa0e5c1a85c159effec260ca1aa751b1b6a235e0bcdacd553f4d

Observation 6c6ac730-d469-4683-af50-516e84686963 · outbound

This paper cites Comparing with CDNOTS-Gated (Table 1), PCMCI-Gated achieves lower F1 at all configurations— e.g., 0.602 vs.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Comparing with CDNOTS-Gated (Table 1), PCMCI-Gated achieves lower F1 at all configurations— e.g., 0.602 vs

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:d2b55ddb9827690f6dd1c869a3d61b8978496e11db44feebc9569c36c472b94c

Observation 30f45c64-9490-48b4-b116-7887c6fa0960 · outbound

This paper cites an unresolved cited work.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:92b43e1f347806e67c0a84f1f567ef4f6d699660d4010b488f73f511de173047

Observation cf79b5c4-623b-4cc9-988c-2466e1957d37 · outbound

This paper cites Second, the oracle threshold t= 0.05 † dramatically improves DYNOTEARS to F1 0.82–0.91, demonstrating that a good thresh- oldexistsbut requires ground truth to find.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Second, the oracle threshold t= 0.05 † dramatically improves DYNOTEARS to F1 0.82–0.91, demonstrating that a good thresh- oldexistsbut requires ground truth to find

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:af77bacf7983b5aba8b38739a03de52dccd3ab581c386591c9c744dcdb719300

Observation 87fe702a-7d23-4f1b-886a-44c65a2e46a2 · outbound

This paper cites The improvement grows with bothNand T: atN= 50/T= 500the gap is small (F1 0.764 vs.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series The improvement grows with bothNand T: atN= 50/T= 500the gap is small (F1 0.764 vs

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:4dfcc71027624b5eeaf7ae8b91d9aac85c070facdf1ba48b38f253aa9756d699

Observation e12b3bbc-ecbe-47f1-92f5-f4876c55190c · outbound

This paper cites A natural concern is whether GRACE generalizes to fundamentally different graph structures.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series A natural concern is whether GRACE generalizes to fundamentally different graph structures

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:179cc73c0d46f49a44cea858094df7caa92fe448eb1cef4b364066635a5261ac

Observation fb05d3cd-e4c0-42b7-837b-f47509ac945c · outbound

This paper cites an unresolved cited work.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:b152ddea644e3746e6f98f935050b7f2f03d24d4602c24c65ac2f190ed3c0c82

Observation d00a25c5-e632-406e-a077-af41a1675314 · outbound

This paper cites 20 Table 16: F1 on Lorenz-96 with noisy observations (σ= 0.1), mean±std over 10 seeds.

GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series 20 Table 16: F1 on Lorenz-96 with noisy observations (σ= 0.1), mean±std over 10 seeds

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-26T08:43:44.793586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-26T08:43:44.793586Z digest=sha256:b8fe479d7d82e2cd5ae38abf9561f553889b60a8dc49dc4bdda2ec52caaa7845

Pith citing papers

Observation aa5e0ea1-0f20-47e7-8119-abb0a3d7cd08 · inbound

Causal-TS: A Python Library for Causal Discovery in High-Dimensional and Nonstationary Time Series cites this paper.

Causal-TS: A Python Library for Causal Discovery in High-Dimensional and Nonstationary Time Series GRACE: Gated Refinement for Accurate Causal Edge Discovery in High-Dimensional Time Series

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-31T08:17:34.949746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T08:17:34.949746Z digest=sha256:f42894cfea09c1aa0b96748ba19e4cdd7efc123c0a2804fed91a4649885b1e48