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Paper Citation Record · LEDGER

PDESpectralRefiner: Achieving More Accurate Long Rollouts with Spectral Adjustment

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.565351Z digest=sha256:0a6d823f1ba0b07e210fe9403aebae2b786c9912930639637857e0b6db43118e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.622870Z digest=sha256:1c3a3904e6f86f418d3848dec99a4e531206e78671193845f44df332d64c6093

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.658605Z digest=sha256:ba3afc71f8ee459bb17b2969fccf70f381522e77356130f6f26090d33e33d6e7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.741682Z digest=sha256:5ce083bab1766fafc99a422fded44b2a587cfb2f75be83f5ef7fd19bb0f5e9a3

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:39.844062Z digest=sha256:f7056b18595bc70f0f4c11db1900f885358b9f64d8a78b011b5bfa85312ae773

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:a49096505d6f5947158dc82c9218ae4674e5885ffa3ee40cc055f37cf8fa8aa0

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=sha256:2a12318a1d07c7e71b2c583cb15664b37459122e6904acddbef3439c676bd6ea

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.195659Z digest=sha256:cad732bccda633e1a685270d6223d48f8099cc43c63eaee1d93c81013821b3d2

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.332662Z digest=sha256:11449d03aef5fbff518efd89fb039be0e6922b3beb2a8cccbf5bd6b2ce847365

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:c9a3017cdf07476193b0abd96ad4564f6867efdd02612cd520718e2b59f52c05

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 2026-08-21T06:32:19.484+00:00.

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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:fd10eb3e396b620db8a89f20816f33d0003884d472158839c389fca9ec6b5363

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:40.793494Z digest=sha256:c562b2d74e3c8dede5e50ce38f6a5bc8363fce601d799e3a0dd7290eb5d72f3b

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:b4c92c654348439277db8ce817d184a793c3b4a3ecba70810bdf0b33d8be3e35

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.000173Z digest=sha256:7e2365050f9559a0a90a3581e309a9dfa7dec83306529f00e1607505be66d7de

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.050146Z digest=sha256:c539d25031bfde8c3b3fb13b74b121eb794c182e18b562ddb015c5b2b3f2de9e

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=sha256:50e7bd79f11c65be8433c966045977d040cd073bcf015f8d1d4e9e712632934c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.056342Z digest=sha256:c77abe44f5fc14e09b269edd27238414569feb30ce6a93811587ad243475b1b8

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.059222Z digest=sha256:fef04485124a720a6aafed9104bccf72bbd20732a202cc2a186291962aa26def

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.062570Z digest=sha256:cf379c61299fbfdb43639fd24979e45bbbfd21d2e624c9f5cae106267a4849bc

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.067379Z digest=sha256:a153030b700faeb5c3a2d6ec5afaef7999ddb337794a8ee3f5fa16c27c02a676

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:d0826cf356f1b32fd01598ce81e7b785b3c19623bec5f7d705f226f273de2031

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:f58351bf09fa34fea6b8582aa90e0531fcf2086905953bb467895b1aaeddcc93

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.076352Z digest=sha256:0b0ad55c63f700a0d868493acce47dacbdfd3487d6ca54ed9dec0636d789757b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.079419Z digest=sha256:b42728632d5592b6cfc8928947e203a0c82e8e6f25c378100aea707e3141674c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.082433Z digest=sha256:ee7f0637691fc3c23e2d31de7d85d2a60612a229b963fc423cb5d73559a9e481

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.085379Z digest=sha256:ce966bf3689913f1f71896e4d91f5cd25bae547e5fb1f2d5b8b0134f98247bac

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.088539Z digest=sha256:9c8202bc4dcc4939a8c2316bbb4867222b27751b16a7c55530a28a415a790d08

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T04:31:41.091917Z digest=sha256:8740a30b6a79fd1ce329bbe4015cb4d66d163d048c07766292dcb8fbbebe9680

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=sha256:2af6c7789657f551441b97f37764db3521ceb1de75a966313fa704b32fd5a631

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:dc725dd43b50b59351738e55c7cec066ae4f9959370cacabe4f2ae0470b91777

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=sha256:01cd2457a7bbe361274053eb5207d7d549ab083f0f855eea13f82202dc932c46

Pith citing papers

No inbound Pith citation observations are available.