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Paper Citation Record · LEDGER

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.565351Z digest=sha256:bc8c8ebe9e27c2c36b479d0733ba4ff4a2c2de5ff5ec859169f1d487a822aded

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.622870Z digest=sha256:dd86fb3f4ffe63367a22256cf158f5e4a5fa299611004cf85f3f9f6fda445c8f

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.658605Z digest=sha256:fdc87decb061f093fd7ceb861aed0a8865a209d7add2c54bc83a4a2984a607b6

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.741682Z digest=sha256:5a8d6acf281b597bc5766b12c5ecd34ef426bd05ee3f55bb194761fe2b50b4b9

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.844062Z digest=sha256:83d11b23112bb2f22421994bff1ad6069958ad30d9c55507834582d71d3e1809

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=sha256:3ad7ac1b9098a40c29ae8e81c1a26eebd1b6939d3ea383602e3d1211e355e31b

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:f301c8eaf2590562c4399b112fcbc928cf9527a0eb285d316cec51fb46cc5d2e

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.195659Z digest=sha256:c1d0d1b70f713d76a185b86faa6839555b686910868b92eb94ff85f242925569

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.332662Z digest=sha256:acf32296a0d440a70ffc571a6e9484fe45ed37c3afe601cfbed87621e88265ab

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=sha256:6f5b7e21301d56a317011668fea49f22e8d59499cf00f89025fac29a15891550

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.509987Z digest=sha256:3e7212351bc5c6336949abdacd9d72c88add02961fba762890a6288372274645

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=sha256:5c335a444453d64de39bcc842002ab83850306d3edd033f1a7dbe12e7e7a61f9

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.793494Z digest=sha256:9c58b7a80e829bc45934ef27680f4123a030ac2381cc6bad2f92da21656d2ba1

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:db8f3658181c42080ffb36641f281a4b8866239005e45122b4f30a9ec25e2c39

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.000173Z digest=sha256:561c23f01e17b5926b363427b695a3016984afc9774a233a89b6fffae9788932

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.050146Z digest=sha256:f41134bcc2d47f980cc8e74246017104122f472d674414e1e540d517bd323f0f

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:f6395aef074710dd2f91a1041b399ca3f0e3afe725042674d200147057d54484

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.056342Z digest=sha256:c49d46c4000a88a140212affc75b95aafa4f7be54cd0c3752c79f908b2da5154

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.059222Z digest=sha256:95428edd1a78bf969e02a79b321bf94dd4c0be5511b2baadc210d523794d75d2

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.062570Z digest=sha256:03caa5bfe39219573575d2caf6cc192ed8d4a00fb5b1a794eda028b06dd485fc

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.067379Z digest=sha256:f4836a38e7c0ba290e9bc63f90b19ba47bb497f45e15ee176d7e169136e44d45

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=sha256:503f9ccb654a2fbebe8534cafdcbc611aae52c22c14ceb9fc100c594dad64bb5

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=sha256:90f3661d08bd54f99e79db9c099437b453ad70581ef5b8e6be430b30d27653e7

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.076352Z digest=sha256:b7d512de2c5a54426c9f8bfba5bfb3d9ac94447dc22322f64aee626ef78e4b69

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.079419Z digest=sha256:7b94e6cb038ab2e3063808c727eb00a91017cacccc279bf9ba7b57d773b16a71

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.082433Z digest=sha256:2705486374fa2f8302d8bbaccaed2b88263dc6fe8ccaddbf5a46e3792696c734

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.085379Z digest=sha256:a33880f3b241939979c3add54ccbcaddbb8454fd8b2aa8143427e06d1d92ac7c

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.088539Z digest=sha256:d834130de0df7853e5ffd5192d0565fe50e530b8060a728ccaf6cc24f6343f20

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.091917Z digest=sha256:f66396b4aa02faada945060c09d89536ede67f73682c60a1e37d0ed0f50181cf

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:ecfdb35299062f7d2fe70af3a2dc866ae6558b6fe6614bcb2f7f02ac6786baf1

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=sha256:43eaa1c08a3b3890dfbbf3797b031b434bf31176d7ed7f84be69e7c2ec82acfd

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:e16be8fba86d092dec8adaa2fdc6405941f26a63d01bad1f83885955c110701b

Pith citing papers

No inbound Pith citation observations are available.