{"as_of":"2026-08-14T11:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:24897c963d416b48d25826ea106f519974d309eb500aed6f48855608f80b057b","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T13:43:57.557516Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2501.16308/citation-record","integrity":"/paper/2501.16308/integrity","json":"/paper/2501.16308/citation-record.json","paper":"/paper/2501.16308"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T13:43:57.948696Z","title":"Almi and E","venue":null,"work_id":"820a67aa-8b32-4891-aab2-3a51dfbd93a0","year":2021},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.482870Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:f86ecf76fdf13ebe15af807d8053d2f7ef86ff24e56dec9fcd24cf1f1e8fe5c3","observation_id":"b90fd09c-5e24-447e-8af5-42919f493b52","resolution":{"observed_at":"2026-08-10T13:43:57.953063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.934559Z","title":"Ambrosio, Existence theory for a new class of variational problems , Arch","venue":null,"work_id":"2fef2d77-9cc1-40e9-8045-240068d7a94e","year":1990},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.487940Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:ccca9a2e3d62984b9285eeef7925ac4ad6e91c0c943e666ec33832200bff57d7","observation_id":"07bf710c-184e-4d75-a9bf-62120130af63","resolution":{"observed_at":"2026-08-10T13:43:57.939297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.920797Z","title":"23 (1994), no","venue":null,"work_id":"deac1ef3-128a-4990-aafe-476574fd0b25","year":1994},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.492679Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:440190c2a2ccb7778a823ca42890dd3f68b97587740e3a51953ccd4c79add7f3","observation_id":"22a88a8b-34c9-4623-b90d-4890742426c6","resolution":{"observed_at":"2026-08-10T13:43:57.925111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.907086Z","title":"Ambrosio, N","venue":null,"work_id":"0171d45c-ddc6-4606-9a75-e061fbb52d42","year":2000},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.497155Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:bf7f5609cbd97618f01613a39e1770b6b3181ccafeda59e86dd723867d0a662a","observation_id":"79975fba-2935-4c83-9fb1-61dfad7afb44","resolution":{"observed_at":"2026-08-10T13:43:57.911513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.892530Z","title":"Braides, Approximation of free discontinuity problems , Springer, 1998","venue":null,"work_id":"e993a099-a2ea-40d8-b408-9439d3e8c732","year":1998},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.501628Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:d0bec0f73f7159ecd697e536de0583167152aca853192b15f7a8c0bfdcb62fb5","observation_id":"45aca00e-64a0-46ff-b664-47a766122a5d","resolution":{"observed_at":"2026-08-10T13:43:57.897384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.878815Z","title":"Chambolle and V","venue":null,"work_id":"5cf0c070-0e08-402e-a98e-45fd1f47f708","year":2018},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.505839Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:d4d8e3b46a50875d0a3e27107e416d9fc376e84805f94f904f7fa708f780314b","observation_id":"0f6aaf50-d952-4d7b-9c6c-435fdd8ff5ef","resolution":{"observed_at":"2026-08-10T13:43:57.882973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.865538Z","title":"Chambolle and V","venue":null,"work_id":"91d77f71-3ce6-4652-840a-35fdc58ebd10","year":2023},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.510541Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:048d43a7e4274395c037abc3201929714974d38f8b881cd7f208629b714295e6","observation_id":"6b55ea33-b417-4590-a5f7-34d278618aba","resolution":{"observed_at":"2026-08-10T13:43:57.869634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.852023Z","title":"Dal Maso, G","venue":null,"work_id":"acc3c550-7226-477e-8ff6-635ede421157","year":2004},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.514885Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:053cc393fc6604bbb4ab7ac73fcb4c8742384e1475012afadb4428e2d9944da4","observation_id":"ca9fb74e-2bbe-4f90-b82c-91e661c0bf9c","resolution":{"observed_at":"2026-08-10T13:43:57.856076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.837927Z","title":"Rational Mech","venue":null,"work_id":"611b6785-dcaa-4f69-8957-e30c4a664dfb","year":2005},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.519209Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:e6ab27a7ae780ea61c317173572414bc10c89b9ae160e2012c09849d92566aa1","observation_id":"5c6d7f8a-ffcd-4da5-85a9-6a6076714ca6","resolution":{"observed_at":"2026-08-10T13:43:57.842505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.821264Z","title":"Dal Maso and R","venue":null,"work_id":"01487cba-fb19-4f42-b4b6-93b48604ae59","year":2022},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.523702Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:9bc62d209e5e23b11c1ad58c6328b723cd8c39120a663d963970e7ce294146e2","observation_id":"2958612b-3578-45b8-917f-bd1d9a44d023","resolution":{"observed_at":"2026-08-10T13:43:57.827068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2310.11538","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T13:43:57.740585Z","title":"Donati, A new space of generalised vector-valued functions of bound ed variation , arXiv preprint (2024), arxiv:2310.11538","venue":null,"work_id":"14a10a1a-509d-4607-8cbb-ad14736ce258","year":2024},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.528445Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:74029e21e86b5b73939a9bc47d3781c483602e0f0d16b2a797810f0da7525f41","observation_id":"a9f63d26-5d5f-425f-b928-02a9bda8dafb","resolution":{"observed_at":"2026-08-10T13:43:57.748569Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.805308Z","title":null,"venue":null,"work_id":"9a7b6a84-6e62-4494-ab94-1123753fda2d","year":1998},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.533403Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:adb807295af3d40fb0e0df53a2516ae66d0cc5e09ab5d01d932078d09b54d842","observation_id":"ad327895-94c0-4b63-b4dd-cf157a3a0ce6","resolution":{"observed_at":"2026-08-10T13:43:57.810204Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.789481Z","title":"Friedrich, A compactness result in GSBV p and applications to Γ -convergence for free discontinuity problems , Calc","venue":null,"work_id":"19e8ef00-48e5-4b33-997f-940107c3ba36","year":2019},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.538423Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:5e5e03b0be5df59cf36fbd4b6f5695946d137c77409ab1efe00ed988051a0e9d","observation_id":"be324871-7c51-438e-abb0-1658592d40d6","resolution":{"observed_at":"2026-08-10T13:43:57.794275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T13:43:57.773779Z","title":"Friedrich and F","venue":null,"work_id":"ebc07ed6-6b88-4b40-8a53-4f6afa517596","year":2018},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.543117Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:04102ca1c7c66b06388db4ef650d252842b6cc95ac1b054348a9f9d8a238116c","observation_id":"52bf1a4f-06b7-4c00-bdec-8bcabc08ee4c","resolution":{"observed_at":"2026-08-10T13:43:57.778507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.13446","last_updated":"2024-11-20T16:38:14Z","snapshot_observed_at":"2026-08-12T16:21:45.611722Z","submitted_at":"2024-11-20T16:38:14Z","title":"Linearization of quasistatic fracture evolution in brittle materials","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.13446","snapshot_observed_at":"2026-08-10T13:43:57.547871Z","title":"Friedrich, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.547871Z"},"links":{"cited_paper":"/paper/2411.13446","citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:5f8012dc969afbc9034d548a590426f4d394bede14c8a79545ea02818b21c19d","observation_id":"598f5f5e-b43a-4525-b255-5a75444f2bcd","resolution":{"observed_at":"2026-08-10T13:43:57.547871Z","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":"2026-08-10T13:43:57.758777Z","title":"Lions, The concentration-compactness principle in the calculus o f variations","venue":null,"work_id":"b1482407-2baa-4efd-a4cf-021234d6aa2c","year":1984},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.552769Z"},"links":{"citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:a1c0a23bae19a4ebbbb2feec72bc2d58d9a269fd17722eb6d202075d15515948","observation_id":"54d578c4-5bfb-477a-9fd2-bd7ce19f5bb4","resolution":{"observed_at":"2026-08-10T13:43:57.763601Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03776","last_updated":"2024-08-07T14:01:26Z","snapshot_observed_at":"2026-08-12T23:07:14.977692Z","submitted_at":"2024-08-07T14:01:26Z","title":"An elliptic approximation for phase separation in a fractured material","version":1},"cited_work":{"arxiv_id":"2408.03776","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.03776","snapshot_observed_at":"2026-08-10T13:43:57.595137Z","title":"An elliptic approximation for phase separation in a fractured material","venue":"math.AP","work_id":"1c1a56f1-5625-4379-bec9-1f61e961871a","year":2024},"citing_paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T13:43:57.557516Z"},"links":{"cited_paper":"/paper/2408.03776","citing_paper":"/paper/2501.16308"},"observation_digest":"sha256:374b9cc48754f9b4d40649793bcc0386fc24c6f2d89ade7d732ff569469c3a66","observation_id":"eb57d7ea-a29a-4668-95eb-561c96c8bc92","resolution":{"observed_at":"2026-08-10T13:43:57.602829Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.16308","last_updated":"2025-01-27T18:46:50Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T18:20:54.928776Z","submitted_at":"2025-01-27T18:46:50Z","title":"Compactness for $GSBV^p$ via concentration-compactness"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":13},"total_outbound_references":17},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2501.16308."}