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Paper Citation Record · LEDGER

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment

As of 7 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.10711.

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

pith.paper-citation-record.v1
2506.10711 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:31:41.102819Z

measured 32 of 32 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 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

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 15b8a052-04a5-4102-831e-fe1efbc5981c · outbound

This paper cites The Kuramoto-Sivashinsky Equation.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment The Kuramoto-Sivashinsky Equation

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T04:31:41.170801Z

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=arxiv_source observed=2026-08-07T04:31:39.565351Z digest=sha256:b854c352a7befdc79318e0cc56f1240f9e67357be663d4a0ab2f55e5fde2dbf8

Observation e153c760-886a-449c-89e7-13237ed48dca · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.482407Z

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=arxiv_source observed=2026-08-07T04:31:39.622870Z digest=sha256:f2a587bd9a4e6b7c49774bdb6ed6798e8f8fcc2fe1159b52de3dfaaef0b484d9

Observation 51263acd-aa25-4d3a-8731-4612eecaf416 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.473172Z

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=arxiv_source observed=2026-08-07T04:31:39.658605Z digest=sha256:4a3bf53f3d513cbfeb450778f9409f22bcfcb49f27ed72667c3ceee17d842bdc

Observation 2b6472c7-c27b-44d5-99af-ea3565c14981 · outbound

This paper cites E.; and Welling, M.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment E.; and Welling, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:31:41.452082Z

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=arxiv_source observed=2026-08-07T04:31:39.741682Z digest=sha256:d2c3ec82bb0e6ce88e04d5d7ddac7741c9023a43871bc477eecdc7d288b9255a

Observation 05a63df1-4748-436c-bdb4-e7cf85306d8c · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.413463Z

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=arxiv_source observed=2026-08-07T04:31:39.844062Z digest=sha256:e334aff170cab7ae0ef688b48f84887573767b763ae610ddb66217260cea7c15

Observation 8a4e73ab-4cd4-4e1d-9fd9-e94e81661287 · outbound

This paper cites Towards Multi-spatiotemporal-scale Generalized PDE Modeling.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Towards Multi-spatiotemporal-scale Generalized PDE Modeling

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:39.984747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:39.984747Z digest=sha256:5fb110a2df58f81598d7b81fbe5ae9c70582cbee3ecf78d474225dd95de24c07

Observation 3d6561e9-8506-4f5a-8524-baf0afd48a39 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:40.090709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:40.090709Z digest=sha256:1c0b4995e24fa9fa5fda3b11670a20d37f8c63d7986cbb058606c8f9f00dfaeb

Observation b3544b9e-f65f-4152-a436-ffa3f73f2c2b · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.385024Z

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=arxiv_source observed=2026-08-07T04:31:40.195659Z digest=sha256:84ee6274579a6adfe5fee30ac013e2762a1952c4a130ab54d59fe99234ede162

Observation c23ed22c-424e-4536-ac40-0a3df16f85af · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.375111Z

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=arxiv_source observed=2026-08-07T04:31:40.332662Z digest=sha256:a05d7ebf8249c7ebd1ae568e0edfa73ceb3d972e19a00ebb2888c726e234ab67

Observation 383089e5-52a0-4838-b1a2-ae1c66369f7e · outbound

This paper cites G.; Vignac, C.; and Welling, M.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment G.; Vignac, C.; and Welling, M

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:40.418977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:40.418977Z digest=sha256:bae146e12d19564ae913dd09ebaf27794cbb2da8621bc4bbc63b23ec08246752

Observation caf06cd2-8e84-4ff7-8110-7e42d33a1eea · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.358131Z

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=arxiv_source observed=2026-08-07T04:31:40.509987Z digest=sha256:974942f0e6b8def3cb37ec6df3cdf0dba951f3ec9827105b47b2ee3fbeaa773b

Observation bed01624-872f-4b0c-bd77-819af077ad6e · outbound

This paper cites B.; Azizzadenesheli, K.; liu, B.; Bhattacharya, K.; Stuart, A.; and Anandkumar, A.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment B.; Azizzadenesheli, K.; liu, B.; Bhattacharya, K.; Stuart, A.; and Anandkumar, A

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:40.698879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:40.698879Z digest=sha256:cb62ec163d31318c5dcc5f0c55450f9e0371af9ff16989044a391cf275b2d52d

Observation 45235f5c-5de3-4778-8822-ff909f8d831c · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.340897Z

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=arxiv_source observed=2026-08-07T04:31:40.793494Z digest=sha256:28ebc4618f4918acc58f9a87d81a324e7d06565180d68ad1b25052627e0f641d

Observation bb36cea6-ca54-45fa-9bc4-4a21ae992f37 · outbound

This paper cites Q.; and Dhariwal, P.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Q.; and Dhariwal, P

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:40.897295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:40.897295Z digest=sha256:6f533c3b43650520d74e0cfc058e963e3d3d52209e1180e550bd60907bbb81a1

Observation b19f383b-0753-42d3-8ea1-84aae8dc7665 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.324587Z

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=arxiv_source observed=2026-08-07T04:31:41.000173Z digest=sha256:37b7bc269b127463daa7ba0fc8c1527be3281d0a5be589b1ff750780a04a1d27

Observation fc1e4539-ea89-4200-b5f8-623bf8e0fb80 · outbound

This paper cites A.; Ross, Z.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment A.; Ross, Z

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:31:41.313354Z

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=arxiv_source observed=2026-08-07T04:31:41.050146Z digest=sha256:6800b171628bb5a77e410f3e15afd75b1606fa5009752ca4e7510ca2c432e174

Observation 0579a120-5c57-40c1-b173-8e007e66c0e6 · outbound

This paper cites Hierarchical Text-Conditional Image Generation with CLIP Latents.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Hierarchical Text-Conditional Image Generation with CLIP Latents

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:41.053270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:41.053270Z digest=sha256:1410a5f59812386cfb26e1337adc5871c857d3414525f958cb6a45ae14b252cd

Observation a2a222a2-2909-4640-ab96-ded9905d664c · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.301443Z

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=arxiv_source observed=2026-08-07T04:31:41.056342Z digest=sha256:d8075632507f2efcfb0d186e1c7f5d50c756e2b7d2b3826b1226181ea9613529

Observation ac55781e-b50b-4438-8250-5354fd7abb49 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.290450Z

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=arxiv_source observed=2026-08-07T04:31:41.059222Z digest=sha256:d1d8ba5d61ced9bd6477d72fac0f87b845f4b565b28fe68a5dc2092a397ee76a

Observation dda9652a-4312-4188-afa7-963797f3e3bf · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.280933Z

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=arxiv_source observed=2026-08-07T04:31:41.062570Z digest=sha256:32b2da84b25a4640191fa636f57a2da77c0076191777a9b8ddc371ed2ffec011

Observation 0c4f9cb0-d8e5-45d5-8811-32c75e3406b8 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.271287Z

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=arxiv_source observed=2026-08-07T04:31:41.067379Z digest=sha256:e60269078331341cf6bfe7a5773f7722d791caac6409098b56e900be6158b626

Observation 0ce9d5d1-572c-4bc1-9661-c0867375f109 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:41.070318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:41.070318Z digest=sha256:77cd64b43c8a869e8dbc0e0243c1c4a5b2b7fcd6d3b74b6f1d04e09456db7e96

Observation 5cfd4dd6-ecd9-4d26-9e14-a3c183056ade · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:41.073339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:41.073339Z digest=sha256:402af74c412145a54eaf9b337c4f707eeed73a94c99c6a5a3172712a29b658b2

Observation 5006d5a1-bda6-461a-bfd7-aa609a08a149 · outbound

This paper cites P.; Kumar, A.; Ermon, S.; and Poole, B.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment P.; Kumar, A.; Ermon, S.; and Poole, B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:31:41.248687Z

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=arxiv_source observed=2026-08-07T04:31:41.076352Z digest=sha256:e57ceecb71ff725fb30d2e9261118f66e1fde0e5fca51d01654be9eaedcd57b9

Observation 5885e056-259a-42b9-ace1-544ce4190631 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.238215Z

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=arxiv_source observed=2026-08-07T04:31:41.079419Z digest=sha256:1cc709c40328ae71f451e71b7bcf3dd584f513a1804473b2865bf77e5c40fb9d

Observation 0ee7b7e2-41c6-4f70-8bdd-5ced6f68bfb3 · outbound

This paper cites W.; and Holmes, P.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment W.; and Holmes, P

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:31:41.227727Z

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=arxiv_source observed=2026-08-07T04:31:41.082433Z digest=sha256:9e88990f7afd04fc62420ad06fc4f9a4c805bad45ba7f486e0be4ec0743e3392

Observation 7670cf87-c9b2-4b6a-967c-fcfac42ba067 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.216483Z

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=arxiv_source observed=2026-08-07T04:31:41.085379Z digest=sha256:1f586434be7b9ca739b8df1d33eaf5ec27e9f7b9cafe30c5be8fde1310efa391

Observation bba8dafd-2824-4b41-9f74-96b2a78b7bd7 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.205422Z

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=arxiv_source observed=2026-08-07T04:31:41.088539Z digest=sha256:06d163c706d011c0ccf9c2e86b3a8d2289fe344c591a42fc645119ba558cd9ad

Observation 05632d71-6969-4671-9c1b-d84c70bc2bb8 · outbound

This paper cites an unresolved cited work.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:31:41.193327Z

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=arxiv_source observed=2026-08-07T04:31:41.091917Z digest=sha256:2526e33b3e03f13663ba4abad1a2b9b660bd1f45ff5301f794602836c8299255

Observation 13c3ec1e-a739-48d5-859c-dbe72874efb2 · outbound

This paper cites Artificial Intelligence for Science in Quantum, Atomistic, and Continuum Systems.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment Artificial Intelligence for Science in Quantum, Atomistic, and Continuum Systems

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:41.095607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:41.095607Z digest=sha256:b6d20f92d583663e1bd75379c187d19eefce60a47e8b8b436067ad79fb69f9d2

Observation d1a6a27b-9cd5-4412-b582-81069950c2b0 · outbound

This paper cites , " * write output.state after.block = add.period write newline.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment , " * write output.state after.block = add.period write newline

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:41.099157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:41.099157Z digest=sha256:7e52cc28fead7a41bfd22ca13852c34448922e9bdf2077f619e674f269030724

Observation bcf3a6b0-f326-4d1c-8793-2266584be7f9 · outbound

This paper cites write newline.

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment write newline

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T04:31:41.102819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:31:41.102819Z digest=sha256:f70b392bb99830862da9ae38dce65c16ca2909022fc7c33397cdb41dcb6e42da

Pith citing papers

No inbound Pith citation observations are available.