{"as_of":"2026-08-21T14:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8d367fedb8e48946206baef80175a9e4f61957884ebfa3c7eb0a42f9d39aecfe","coverage":[{"denominator":25,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":25,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:06:41.810568Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2504.16553/citation-record","integrity":"/paper/2504.16553/integrity","json":"/paper/2504.16553/citation-record.json","paper":"/paper/2504.16553"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.17134","last_updated":"2025-02-28T06:43:21Z","snapshot_observed_at":"2026-08-20T05:18:25.117450Z","submitted_at":"2025-02-24T13:25:40Z","title":"Gabor-Enhanced Physics-Informed Neural Networks for Fast Simulations of Acoustic Wavefields","version":2},"cited_work":{"arxiv_id":"2502.17134","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.17134","snapshot_observed_at":"2026-08-16T11:06:41.864256Z","title":"Gabor-Enhanced Physics-Informed Neural Networks for Fast Simulations of Acoustic Wavefields","venue":"physics.geo-ph","work_id":"4fc09357-3b03-4004-b712-788e078e85f0","year":2025},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.721066Z"},"links":{"cited_paper":"/paper/2502.17134","citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:1ecb4ffe9f9950de68a56fa68aadf1fd15d017ab196fcc7f7fbfd332685ff901","observation_id":"ec107fd5-6674-4050-a6f7-3dcd750822eb","resolution":{"observed_at":"2026-08-16T11:06:41.870598Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.166197Z","title":null,"venue":null,"work_id":"15e47d90-e52f-4963-99dd-0e28ca8b3c28","year":2021},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.726412Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:3d4bf25ee590c14460008c56bcbdf4791dfa2e133534a1e2c6bb3c01629fb061","observation_id":"7990d06d-9b4c-4832-99e3-1a3b95467e62","resolution":{"observed_at":"2026-08-16T11:06:42.170398Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.151328Z","title":"M., Uriarte, C., and Pardo, D","venue":null,"work_id":"88fcaabe-4f84-4481-aaef-6ebe58bf21e6","year":2025},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.730331Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:9172beb6084edf9de8421a5a2110a9f51123002c5fe705c91cf51ec2b906b01b","observation_id":"3ef849a0-8fcc-4d44-b3a8-8a69a09591a7","resolution":{"observed_at":"2026-08-16T11:06:42.155556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.137600Z","title":null,"venue":null,"work_id":"e496a4c5-3571-4762-84d2-fd50bf9fbfe0","year":1994},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.734019Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:042cccab92cd698af8ba1cb8e215a40a11332f7a4d05c184f768d5097416ca94","observation_id":"e6cb63ee-2e2b-4c6e-b2f5-9c92b9a732ce","resolution":{"observed_at":"2026-08-16T11:06:42.142194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.122358Z","title":null,"venue":null,"work_id":"25b7b5f5-af16-4829-bd3a-47ed916fdefd","year":2024},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.738013Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:6c89d9e01c31bd70dbb203b851b98d8b3526acf951c79c385fadfc2ee963d97b","observation_id":"4e335412-4acd-4f9e-80d9-e2da6c721e5b","resolution":{"observed_at":"2026-08-16T11:06:42.128513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.107652Z","title":"S., Giampaolo, F., Rozza, G., Raissi, M., and Piccialli, F","venue":null,"work_id":"26636b04-1e40-4986-823e-77b440cca23c","year":2022},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.741756Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:872580902bef72a50e907725c9956c97e1dac41f65a9a435b09b8bc79e270ac1","observation_id":"aa2afe2d-04d9-4471-b29b-14f42c3e039a","resolution":{"observed_at":"2026-08-16T11:06:42.112046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.093690Z","title":"C., Lan, Y., and Xu, J","venue":null,"work_id":"a0634d81-b29a-4d59-b27c-d52979b01359","year":2020},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.746208Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:d1a383451064f284e8be1e8fe0050038c3f040035a20c158fe16d12aaf6b079a","observation_id":"9ae07284-07e3-4de0-8a96-63827abf6d5b","resolution":{"observed_at":"2026-08-16T11:06:42.098183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.078168Z","title":null,"venue":null,"work_id":"760bd44d-c9f1-4b7d-a5de-7fe300241761","year":2004},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.749643Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:8894dd0d320a7e66a3e823a5423d7bdbcfe47b5b112c63e72a08d010ffa27ff2","observation_id":"b0df7e82-c9af-4891-b128-60d0f772eb2b","resolution":{"observed_at":"2026-08-16T11:06:42.083182Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.062364Z","title":"and Alkhalifah, T","venue":null,"work_id":"445ebc57-7647-49e7-bff3-08c282299f7a","year":2023},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.753487Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:6e8dd1023c97e72d349aca787781e1ee4252283002cca7aeb727724e3d441185","observation_id":"93cde6ec-cbe0-4c2d-ae68-31709441a995","resolution":{"observed_at":"2026-08-16T11:06:42.066289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.049993Z","title":null,"venue":null,"work_id":"3d2ba842-563a-4065-a232-58dcc6e170a7","year":2021},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.757257Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:d67a52113785b2faa4e90e20510547cab966ad803858c60fe548ff4660207034","observation_id":"053d8c2c-2aa6-414a-95f6-d96dde9087e1","resolution":{"observed_at":"2026-08-16T11:06:42.054115Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.08591","last_updated":"2019-12-18T20:35:59Z","snapshot_observed_at":"2026-08-20T05:17:02.189309Z","submitted_at":"2018-10-19T17:19:38Z","title":"A Modern Take on the Bias-Variance Tradeoff in Neural Networks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.08591","snapshot_observed_at":"2026-08-16T11:06:41.761508Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.761508Z"},"links":{"cited_paper":"/paper/1810.08591","citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:375c662006b077314056aef3e3c6f75a5c85034c1cc81dd8f8d74c652ee8247d","observation_id":"7dbd8cd6-ea35-4b21-ab75-badfe13741c2","resolution":{"observed_at":"2026-08-16T11:06:41.761508Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.037954Z","title":null,"venue":null,"work_id":"b49149b1-fd2f-4b2c-bdee-33d7e24c806a","year":1999},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.765588Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:925b96441a287e517b9a65e550b8d686047bf7b7f0c4b8be097eedab43cc1cf3","observation_id":"f9227472-cafc-496d-8514-f708abbdb072","resolution":{"observed_at":"2026-08-16T11:06:42.042003Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.027516Z","title":null,"venue":null,"work_id":"b08aec4a-f856-4e64-9005-6b813743e7e7","year":2019},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.769544Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:c85850bf4da00057da42839f80c5c43851f3e5cd1955abd3c3064ae8b7217357","observation_id":"a97265dd-7f83-4826-9fc8-2cc42c71f5eb","resolution":{"observed_at":"2026-08-16T11:06:42.030739Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.017306Z","title":null,"venue":null,"work_id":"d8b3c9b1-861f-4996-85e4-a7c8cfda820c","year":2008},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.773413Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:ed17849eaee49e38bd15dec04f1d3f1785de05ba4bd804a8abf751172b1432aa","observation_id":"4fc9843c-18bf-4cd2-9be0-faa99a9d961e","resolution":{"observed_at":"2026-08-16T11:06:42.020547Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:42.004539Z","title":null,"venue":null,"work_id":"25ad0cb1-d9a0-46ba-9acc-6ce7f60a9b81","year":2021},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.776898Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:43f7b29b2a64a3403da4c3a1b9fff5ed8970520a5f6e21111538a0f4a913f17a","observation_id":"943acee3-41ef-4943-b63e-978f2c883249","resolution":{"observed_at":"2026-08-16T11:06:42.008215Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.991707Z","title":"and Wang, Y","venue":null,"work_id":"59397997-bb38-45c6-a5f5-8e011d756893","year":2023},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.780280Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:4326377a8d16482c6c0bbfa10a9ac94f801a980e33359fde1ed73405e2b9cd66","observation_id":"5c6aab0b-96ce-48e1-ab83-df0a143fa863","resolution":{"observed_at":"2026-08-16T11:06:41.996314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.978905Z","title":"M., and Rojas, S","venue":null,"work_id":"83e7a075-1739-4b51-a59a-ed2fd715a721","year":2025},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.783652Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:416660aab205690030220786e0045c7c753196fa78ac20eca674367f7e12f24e","observation_id":"ac9fa46a-f888-4204-9808-3e0c0cdaa0b7","resolution":{"observed_at":"2026-08-16T11:06:41.983236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.966690Z","title":"N., Kaiser, L., and Polosukhin, I","venue":null,"work_id":"7dad5506-7675-425b-ab31-90e8d9ad049a","year":2017},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.787267Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:20a85d63fadd3a6b96752f3f25fc51836256b80d537fe373dd893011c49b43a9","observation_id":"3ab4d856-0109-442c-93df-181d3f7a9448","resolution":{"observed_at":"2026-08-16T11:06:41.970300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.949201Z","title":null,"venue":null,"work_id":"97f331dd-cca7-4ce0-befb-58a942d4b8a5","year":1994},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.790879Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:92dc31ac195a0f057bab70c2305f2952f00ada9d925d185d5e1e20cb0f5eb0c1","observation_id":"61a08565-33e0-466e-ab6e-71fdbf697da1","resolution":{"observed_at":"2026-08-16T11:06:41.957744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.934866Z","title":null,"venue":null,"work_id":"398a5a8c-97fb-4af4-ad0e-53d1d4a0d3dd","year":2022},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.794258Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:814df71a564352e78fca4b627694638d3133866860989bd21e96e045abcf87ff","observation_id":"e162dcd5-4182-4387-bbb5-4c97c1b6d151","resolution":{"observed_at":"2026-08-16T11:06:41.940318Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.920765Z","title":"S., Operto, S., and Ma, J","venue":null,"work_id":"76a3236a-8e34-4e50-812c-3c4224094b23","year":2023},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.797663Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:b47f33184493c53a78aa2fc8efa19d524c56d2a98a0d5b9c2a034927f5dba3ae","observation_id":"d09e6891-a332-4211-9c92-e5059387eb34","resolution":{"observed_at":"2026-08-16T11:06:41.925970Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.905323Z","title":"and Alkhalifah, T","venue":null,"work_id":"77a4fb15-06e3-4978-ba4b-69fd0c5f41b5","year":2018},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.800750Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:9bbb2253defd593c06b34fd6a668f4f8af6b8297b7ae419cb16b23b41080c537","observation_id":"8b4b840a-be34-4960-94a1-baafb957e421","resolution":{"observed_at":"2026-08-16T11:06:41.911519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19923","last_updated":"2024-07-11T14:45:50Z","snapshot_observed_at":"2026-08-16T14:05:19.210406Z","submitted_at":"2024-03-29T02:22:22Z","title":"On the Preprocessing of Physics-informed Neural Networks: How to Better Utilize Data in Fluid Mechanics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.19923","snapshot_observed_at":"2026-08-16T11:06:41.803734Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.803734Z"},"links":{"cited_paper":"/paper/2403.19923","citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:d82585752db555de99815cf4968ded33aa14ab2e606815dfa108609bf0bc65b8","observation_id":"d5d5af9c-2675-41ac-a4fc-be25483c8b0e","resolution":{"observed_at":"2026-08-16T11:06:41.803734Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.890908Z","title":"and Ma, J","venue":null,"work_id":"9f86a5cf-50f8-4f8a-81c7-4d269f805f2e","year":2023},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.807354Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:157e2de8121d5f51a7fcb166b91ee590cd66a87dc15ce36a8a448eec216cba41","observation_id":"e818d1fd-0116-4484-b2a3-12d8f3ee6dd6","resolution":{"observed_at":"2026-08-16T11:06:41.894916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:06:41.878488Z","title":"and Ma, J","venue":null,"work_id":"1e1e26c3-e87b-44b1-b9ed-16d3957d2e4c","year":2025},"citing_paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T11:06:41.810568Z"},"links":{"citing_paper":"/paper/2504.16553"},"observation_digest":"sha256:334d2b14361cc6bd629fac63820dcbe9f2a5a3d19c8805297b848c54f5513f16","observation_id":"bf1b41b1-1d7b-440b-9db5-87eb35562e7c","resolution":{"observed_at":"2026-08-16T11:06:41.882337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.16553","last_updated":"2025-04-23T09:32:14Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-20T05:17:39.117288Z","submitted_at":"2025-04-23T09:32:14Z","title":"Least-Squares-Embedded Optimization for Accelerated Convergence of PINNs in Acoustic Wavefield Simulations"},"reference_resolution":{"displayed":25,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":25},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2504.16553."}