{"as_of":"2026-08-16T02:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1ac7ced24cac91baea20646033ef631bb530dca844227df2e3d1d2acffdd89af","coverage":[{"denominator":80,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":80,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T02:05:39.920475Z","state":"measured"},{"denominator":80,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":80,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2607.13599/citation-record","integrity":"/paper/2607.13599/integrity","json":"/paper/2607.13599/citation-record.json","paper":"/paper/2607.13599"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.244501Z","title":"Ravi-Chandar, Dynamic Fracture, Elsevier, Oxford, 2004","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.244501Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:101114636ad92c152f796de305760f618d08a59a2aea3fef86505913eb94e31c","observation_id":"771834d8-5730-4cd7-8046-9bac59cd35b9","resolution":{"observed_at":"2026-08-03T02:05:32.244501Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.346916Z","title":"Ravi-Chandar, W","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.346916Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:d5da2d076296f9a25a614766c62fcff24827d4b76e7152781fbba9d8d923c2da","observation_id":"86ad5109-df95-4492-adb8-d0222d7c07e8","resolution":{"observed_at":"2026-08-03T02:05:32.346916Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.433163Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.433163Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:c5e0f3f80be69dd327d1d49e9d99c01c561c51b85d48f9196605fd842aa119f8","observation_id":"08e23914-6c9a-47c8-9200-59176820b6e0","resolution":{"observed_at":"2026-08-03T02:05:32.433163Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.580908Z","title":"Vasudevan, Y","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.580908Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:3c90157f3ab2840e0646d3f0ad119834667f5e510064930f7f3e95fb32a5b4ee","observation_id":"562a8843-c2d2-4162-a362-1f7dde44376f","resolution":{"observed_at":"2026-08-03T02:05:32.580908Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.675563Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.675563Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:299d97838162c1376194ab010d605cbeee1de87053c978c9dcc526ebbf7bc4f3","observation_id":"cc409a5e-17e9-4a6e-9e86-1371c7a38b5f","resolution":{"observed_at":"2026-08-03T02:05:32.675563Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.776526Z","title":"Fineberg, M","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.776526Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f49cb83794774c8c3d49593c105ec7b3fb470ec1c0e07e31d028f72a767ab5d8","observation_id":"4f422c59-73af-4583-a5b6-3d552a96691f","resolution":{"observed_at":"2026-08-03T02:05:32.776526Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.882300Z","title":"Sharon, S","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.882300Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:abf60b1c75c566659b57bf0d5e0a642854a37555244d0e2be400251c4ba61de5","observation_id":"210ffa3d-adbb-4df3-a891-28feaacb020c","resolution":{"observed_at":"2026-08-03T02:05:32.882300Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:32.981249Z","title":"Sharon, J","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:32.981249Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:c35d701c22bc3d9f0bc9b4f041ed4106da2d0970ccc8978cf04497893131dbc0","observation_id":"888f63af-0664-414b-acdd-76bf9fc4c88d","resolution":{"observed_at":"2026-08-03T02:05:32.981249Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.109113Z","title":"Livne, G","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.109113Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:60cf6fc953653d741c8cfdee0439f8427b422f0ebdea5c6031949843995270f2","observation_id":"c808adb9-8c28-4aec-bbd5-d3f68dcf2e58","resolution":{"observed_at":"2026-08-03T02:05:33.109113Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.219210Z","title":null,"venue":null,"work_id":null,"year":1921},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.219210Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:e7ca1a0b67736b042ff007724ba05cdfac05a2d44af7ec4ac822d063e514a91d","observation_id":"d4fb1393-0d9e-4d96-b663-227a02ebfb42","resolution":{"observed_at":"2026-08-03T02:05:33.219210Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.331215Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.331215Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f843febfc201ce832666207891f19c9bf2fc30081c9733f5e0480574f15d7d6a","observation_id":"8c5e2c8b-b2de-4515-895a-e3c40d418033","resolution":{"observed_at":"2026-08-03T02:05:33.331215Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.424538Z","title":"Bourdin, G","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.424538Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:69323bc4b45f48b60d236879f8b6ed5832ba5a16241a8e265f52dc04a8ac46c5","observation_id":"c18b97cc-713c-4801-8f28-e57d522402d1","resolution":{"observed_at":"2026-08-03T02:05:33.424538Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.499793Z","title":"Francfort, J.-J","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.499793Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:ef15000df80fd7dd0c192bb1ed00db5eade827f5ab13fb97f576d65d2484252d","observation_id":"74d36228-8f5d-424f-9091-6c42f66bcea1","resolution":{"observed_at":"2026-08-03T02:05:33.499793Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.583089Z","title":"Bourdin, C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.583089Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:5b998069bd154af6173dbee6a91143733bdac3185d1127c70a66074b99bc32f6","observation_id":"8a8f0f63-55d1-48f7-a231-9dc4567eb165","resolution":{"observed_at":"2026-08-03T02:05:33.583089Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.609153Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.609153Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:927caa996263294b99df32db8683b4773801e4df49e48004dba0a50608e058c6","observation_id":"859618a0-0024-4c05-96ba-58f3833c616b","resolution":{"observed_at":"2026-08-03T02:05:33.609153Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.687197Z","title":"Hofacker, C","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.687197Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0350c8a3b24ee7e544b88ee0dccbc32eb9c97b7ec08bda2602197cc6bec746f7","observation_id":"10e4544d-7ef7-4c71-9afd-0588cef9cca9","resolution":{"observed_at":"2026-08-03T02:05:33.687197Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.736641Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.736641Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:fa613b00f13d927d2e0ebad5148b11a04329ae3615ad0abe743710c5466ace42","observation_id":"a2a4e8c7-da76-4358-8178-c6b38fc41922","resolution":{"observed_at":"2026-08-03T02:05:33.736641Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.796156Z","title":"Li, J.-J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.796156Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0fe916b1dc2a31510f16f665208f54ebe4b0563a260f57e52757e6909cafbe03","observation_id":"6792297b-3815-43b7-9bdd-52b5ba90862a","resolution":{"observed_at":"2026-08-03T02:05:33.796156Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.872885Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.872885Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:2b57882079b99979e14277f690ac7189e01657dd3c8a83144141dd94f3066b46","observation_id":"c4fcff0d-f28c-4caa-9381-939f00d4366a","resolution":{"observed_at":"2026-08-03T02:05:33.872885Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:33.955717Z","title":"Agrawal, K","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:33.955717Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f0588833344fda9553d8348c68adecfcafcff7d56dc578bd63c91649d0d21ac8","observation_id":"d2f11e7d-64d2-446b-b7bb-f2ede72c2abd","resolution":{"observed_at":"2026-08-03T02:05:33.955717Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.012322Z","title":"Bleyer, C","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.012322Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0adb8cb810e3c99c0c48caae1902d5b80b1aa07e6210535753160fe48ad4d0fb","observation_id":"86ea2aa1-ac34-4434-9181-fd623dcec327","resolution":{"observed_at":"2026-08-03T02:05:34.012322Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.098034Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.098034Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:72e1cc03d5f19bfedd6fb0ee927eb47f8e3cddd85b09967c7a1e802f6805006d","observation_id":"93aeb712-7b49-4fdc-b0fb-da27085c2131","resolution":{"observed_at":"2026-08-03T02:05:34.098034Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.130588Z","title":"Schlüter, C","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.130588Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:5fd2bbf0b81f1fd8f68c1d12514e66e2fbe8a59d972182433757b9ae5a9c899d","observation_id":"c50049e4-3e06-4f39-ad36-d8329ed04b4f","resolution":{"observed_at":"2026-08-03T02:05:34.130588Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.237214Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.237214Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f7db051e06b711bb2f45a02171eb788c812dfcf52501f554e8a2593656a125f4","observation_id":"dec46f79-12df-478f-8476-39e9476e21e9","resolution":{"observed_at":"2026-08-03T02:05:34.237214Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.314458Z","title":"Bleyer, J.-F","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.314458Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:c9ca6efee78832c933196a91bef18060ee98c6df9e39af756c6c8498f2dd5551","observation_id":"f14b5703-764b-428b-baae-a02c91cbcdb8","resolution":{"observed_at":"2026-08-03T02:05:34.314458Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.371456Z","title":"Marigo, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.371456Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:3ae3270261fc202250e433f460dce20be317cc13714bd7174f32a231f35574db","observation_id":"136b411d-5766-4830-8948-dc3ed430adef","resolution":{"observed_at":"2026-08-03T02:05:34.371456Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.449973Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.449973Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f6ce0dd5cb5aa4b0775878568f7796a756fea4b64f15a3633ebefb40bd41d613","observation_id":"c59ed4d9-1449-4ff8-bb08-7853cf9cc024","resolution":{"observed_at":"2026-08-03T02:05:34.449973Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.527742Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.527742Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0d0ceefb4568a383a2e9702f8c66756a219d29e080052b7d5f8148e7e9f0fb9e","observation_id":"2f3aae0b-5cd5-4e57-8693-696f0e1e7523","resolution":{"observed_at":"2026-08-03T02:05:34.527742Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.604492Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.604492Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:ff9b4b3278389ebc3ab08c3bea919ef029c534793342c96b29bc90d2f94486a3","observation_id":"791fee39-fb68-44a9-9ad7-3b097f8ec914","resolution":{"observed_at":"2026-08-03T02:05:34.604492Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.702976Z","title":"Schlüter, C","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.702976Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:5e8b005af119669eafcddfd415a84139cc70baa84938c9c8450dec92d40de7a2","observation_id":"e6d84395-6cad-47ee-a1d4-016e90a09679","resolution":{"observed_at":"2026-08-03T02:05:34.702976Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.808353Z","title":"Nagaraja, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.808353Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:e7c927588ec5c470f19c441472380b4488cb36a32a80f2f5e4e369952ed4e576","observation_id":"7ac97e36-4635-4446-af5c-1c4abce4380c","resolution":{"observed_at":"2026-08-03T02:05:34.808353Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.904889Z","title":"Gupta, U","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.904889Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:aebf2faff0c52d27426120884f808e8f02d386e04d26c5dbb301b05dcb16dc21","observation_id":"e781e754-c550-4738-b6fc-9fd6cf10711a","resolution":{"observed_at":"2026-08-03T02:05:34.904889Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:34.981720Z","title":"Ziaei-Rad, Y","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:34.981720Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:882969de12930a877efd9ecf9b0a750d907c4a13e8de938b3559b1c5b7dda67b","observation_id":"8e97c130-d637-4d43-8873-be9b115ee26f","resolution":{"observed_at":"2026-08-03T02:05:34.981720Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.075865Z","title":"Schlüter, A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.075865Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:31f7660dc26a0abad8a13acb4f6d2a6af23f8c19f5beae20312a6bc380c1689e","observation_id":"642bd8eb-f3fe-4f7c-9909-c81aafcf9520","resolution":{"observed_at":"2026-08-03T02:05:35.075865Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.091106Z","title":"Steinke, K","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.091106Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:3d454279ee3fcfbe550b020a06de9b63b4c367cf34a60ba5c952204c574eb091","observation_id":"820a6225-9487-42f9-a133-6e481320aa55","resolution":{"observed_at":"2026-08-03T02:05:35.091106Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.113315Z","title":"Durussel, G","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.113315Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:5594f1fe3a2bc4ea0d867e88bb04af7c17884eec6e457f99179a857fa5ccb292","observation_id":"b2e8d867-cb7a-4a89-8cc5-1d001534692a","resolution":{"observed_at":"2026-08-03T02:05:35.113315Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.265523Z","title":"Lubomirsky, C.-H","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.265523Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:e623d83cfac68c4952143db95696f2da5fb43f58ff9375813c20b56e30e5c253","observation_id":"ea0fd93b-8247-46f4-b20a-d08683d4062c","resolution":{"observed_at":"2026-08-03T02:05:35.265523Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.407904Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.407904Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:2a561cae91a18cd9e8ca7bc21d2158819e6a8538f8146f4a21256e4d0f7ab38a","observation_id":"719a8f7b-c9f0-4f61-b35c-fbb784300a33","resolution":{"observed_at":"2026-08-03T02:05:35.407904Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.22558","last_updated":"2025-06-27T18:17:17Z","snapshot_observed_at":"2026-08-06T22:01:26.315393Z","submitted_at":"2025-06-27T18:17:17Z","title":"A variational approach to fracture incorporating any convex strength criterion","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.22558","snapshot_observed_at":"2026-08-03T02:05:35.524967Z","title":"Bourdin, J.-J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.524967Z"},"links":{"cited_paper":"/paper/2506.22558","citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:b15be0e31c76394a50b04cb1f21ed7122b2781c3cef67bfb69615efdeeb16d9a","observation_id":"939afb7b-3cdd-4e44-a7cc-8cb409d2a528","resolution":{"observed_at":"2026-08-03T02:05:35.524967Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.637948Z","title":"Vicentini, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.637948Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:8e9abfe0bb2f137dde3096a88348c6e3bfecbeeb38c2ac1ca6bf5a40e624088c","observation_id":"19596ed5-22ef-490d-a46c-cabcbdd10f3f","resolution":{"observed_at":"2026-08-03T02:05:35.637948Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.750189Z","title":"Li, J.-J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.750189Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:ea58fd257693017210d4ed354400a13f90363001b3c83c6d4fe6cdca41292861","observation_id":"1c6ad7ee-60e4-446a-9a33-9aceb0cd9a04","resolution":{"observed_at":"2026-08-03T02:05:35.750189Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.820678Z","title":"Amor, J.-J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.820678Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:737519132cbb15c3a9702a95c210d8442b898d42bc86c22a4c1a737af9d0c9ee","observation_id":"f755768d-f6b7-4d12-bb82-e3344807ef53","resolution":{"observed_at":"2026-08-03T02:05:35.820678Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:35.909171Z","title":"Miehe, F","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:35.909171Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:b61c1b1ad6b1ea2f3e8862872d3c49a6c41b38c5482795a9b8510f03dbe4c796","observation_id":"ef9c72a9-35cf-4cb1-8745-ad410e69ea10","resolution":{"observed_at":"2026-08-03T02:05:35.909171Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.006390Z","title":"Freddi, G","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.006390Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f650124817956dc622968a5db09c7b3d1c061d0e3b29bc99e8f8c17d9a005bb7","observation_id":"aa370749-73ca-4a73-9260-e8185550715a","resolution":{"observed_at":"2026-08-03T02:05:36.006390Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.122538Z","title":"De Lorenzis, C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.122538Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:45f31b4070bf9892164112dd4125701e1197bd40fbb9cc104d9f92ca85402909","observation_id":"4f815c5c-5edd-4c02-8062-d48bf40ada99","resolution":{"observed_at":"2026-08-03T02:05:36.122538Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.210617Z","title":"Vicentini, C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.210617Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:7101f0b76537df27a0b830d221fbd06ae6da1918dce948294c0e7b5817511290","observation_id":"b5ee5a4c-261b-4458-af0b-4540ef16b3ef","resolution":{"observed_at":"2026-08-03T02:05:36.210617Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.314854Z","title":"Ambrosio, V","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.314854Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f0348a86c252fa506243489f06ffdc2aa2e765aa17a7643c00a62e07263ac69a","observation_id":"dd3ec0ad-a7be-4c0f-9b3e-28ffcf10c537","resolution":{"observed_at":"2026-08-03T02:05:36.314854Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.418835Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.418835Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:b005a5b70877a3917a67b8109773b97b4082c0dbe2970d23260d87ad468c6570","observation_id":"6bb007b6-13e9-4b9b-bb36-8b3fc80b0999","resolution":{"observed_at":"2026-08-03T02:05:36.418835Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.529959Z","title":"Gerasimov, L","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.529959Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:c024777e5e71831d3fa51e6349f6066a100f72bf100e50aafef3a7b1eb5a4873","observation_id":"774ef6cc-d9e5-4ba5-a195-9d4f550b6aed","resolution":{"observed_at":"2026-08-03T02:05:36.529959Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.596507Z","title":"Bremmer, The W.K.B","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.596507Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0f0a0280d472bbec4c56ba142e25798664c13e10f7a2f71b31907ab9d50bc748","observation_id":"fb1f2291-438f-497c-b55b-bd68cfb3ea05","resolution":{"observed_at":"2026-08-03T02:05:36.596507Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.699225Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.699225Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:de51a6e42d506f29ee82884bcc9ed1ac2b378b87843daeb8baec72a325031d27","observation_id":"f012ec2a-8719-4cb4-8f89-6339943fc8da","resolution":{"observed_at":"2026-08-03T02:05:36.699225Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.784062Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.784062Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:f467bdf63ac50c92815eb78440b767f5e4b020ebbadea8106a90edf6acfd998e","observation_id":"4af16a66-c558-4a6e-8375-ed67de3392c4","resolution":{"observed_at":"2026-08-03T02:05:36.784062Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.889750Z","title":"Tanné, T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.889750Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:6fe72a5c8687c6fad66a10fb596924f6136c95ca4173bc1fdd7014eea06fe92a","observation_id":"24be4fed-a9d2-4667-8b38-77ccd3008741","resolution":{"observed_at":"2026-08-03T02:05:36.889750Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:36.993639Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:36.993639Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:60cd5b9bea8de3484a464d1676fdd254cacfc41166107e178e422c3e714ca75b","observation_id":"df8d68ea-8333-4ef8-91f6-20a470cd82e3","resolution":{"observed_at":"2026-08-03T02:05:36.993639Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.096100Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.096100Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:604ce32ca10e612f39b3e346310645949d85ddd12391e88bb7f7bc2a0dc0ef5e","observation_id":"538a1072-096d-4ff0-9475-47d07b63704a","resolution":{"observed_at":"2026-08-03T02:05:37.096100Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.212205Z","title":"Heinzmann, F","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.212205Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:52ff2a1531866ffc63128a7f4864f869925af968d7e5e6fccf49c1bfef3f6bcc","observation_id":"6fcfff23-962c-49f7-987d-ff5601a14ba4","resolution":{"observed_at":"2026-08-03T02:05:37.212205Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.356305Z","title":"Lorentz, S","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.356305Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:6255e79500e90fd074d7d3c46362387fe1bdec7a33dda5735bc65e0d30690789","observation_id":"19460678-4be8-445f-859f-87a4d8cafc13","resolution":{"observed_at":"2026-08-03T02:05:37.356305Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.526794Z","title":"Lorentz, S","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.526794Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:9644498221e458466f026e6e55c5265c5d339dccdb14c15a3cba93ad471f1196","observation_id":"7f95b6b3-c9a7-4e1b-949f-b1edf77d1026","resolution":{"observed_at":"2026-08-03T02:05:37.526794Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.682303Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.682303Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:e297c3f23f9fb759d58d47cfbaa8e5862bbee5651c6d2e3ee12a434f3d4e7868","observation_id":"911647a6-d1c6-432f-b2d2-d47ddef249e6","resolution":{"observed_at":"2026-08-03T02:05:37.682303Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.742453Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.742453Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:a3bac3ab8ffbfe274e4616b31b403be66ab28a528db81e2c49487e8a67dad558","observation_id":"a29ba625-8d4b-4226-bae1-f89ad0f0ed29","resolution":{"observed_at":"2026-08-03T02:05:37.742453Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:37.903670Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:37.903670Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0be90d5104c1572b28bb1d232e456bb00ece78d5511db688aa9201ef10744900","observation_id":"dda7747f-6f23-4f65-ab48-c81e6d3915a3","resolution":{"observed_at":"2026-08-03T02:05:37.903670Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.015919Z","title":"Alessi, J.-J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.015919Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:8bb13eb15fa0a235cdc65144af4ff4f3affce66da1571155880c7234d38f9d22","observation_id":"5ed89948-abaf-410b-aaff-39b21bc806aa","resolution":{"observed_at":"2026-08-03T02:05:38.015919Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.190510Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.190510Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:bbaaf6ffb64bd3a382e679b6bca7787006e8828fea7ab5d1cca3d78e316852c3","observation_id":"71f03335-e1bd-4398-9ca0-8a8260468dc8","resolution":{"observed_at":"2026-08-03T02:05:38.190510Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.297853Z","title":"Bourdin, G","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.297853Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:835868f1d87bb87d7619b2362e351d6d0e7565c436c65a2e081133d9aa754d58","observation_id":"c6469936-5b79-4282-923f-3ac74bfb9c46","resolution":{"observed_at":"2026-08-03T02:05:38.297853Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.357857Z","title":"Müller, Theory of elastic waves, Scientific Technical Report STR 07/03, Deutsches Geo- ForschungsZentrum GFZ, Potsdam (2007).doi:10.2312/GFZ.b103-07037","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.357857Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:5cdfb0e4c828c39f8cb273440ffd8ef7e8472290921201fd1121da400cd78a04","observation_id":"699b9bc1-01c1-46d8-8a1d-4a7900844840","resolution":{"observed_at":"2026-08-03T02:05:38.357857Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.465981Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.465981Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:00ea04ce9b9298aa3c07cb8058fee12be8f81e726f03f13baff87c63db89fc46","observation_id":"831e0eea-ce5e-4333-9323-c306d281affb","resolution":{"observed_at":"2026-08-03T02:05:38.465981Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.526843Z","title":"Ravi-Chandar, W","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.526843Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:89fd5e1d15b5e27d3d7d88c801d3ac853099b35469ad23045a9f2a1de6be2ca6","observation_id":"c26a197a-79ff-40e9-aa33-83c533020d3c","resolution":{"observed_at":"2026-08-03T02:05:38.526843Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.633822Z","title":"Cr˘ etu, I","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.633822Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:c7f58ee2c9a2d9cbb4abe2e512faf265038e90c21f8f3370375cef0995d8f24e","observation_id":"02872192-1b2f-4f35-9562-8565a4ceed8e","resolution":{"observed_at":"2026-08-03T02:05:38.633822Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.693609Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.693609Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:176fddc673f67d76b82397c3ffbeffbf1b63f083e36c75619c6d8fb522c8e695","observation_id":"61f4a043-7241-4ce1-b8ca-f6fb114ce0d0","resolution":{"observed_at":"2026-08-03T02:05:38.693609Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.747560Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.747560Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:2edada9d47071c0f924ffef1967b00fce91f997c24188da32d2b244b99fc40b0","observation_id":"de103503-229f-4a00-a692-8fe3e06cd85c","resolution":{"observed_at":"2026-08-03T02:05:38.747560Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.849999Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.849999Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:9f7d8435173343f43c0aa9a91d3be347e5e69fd75cf8e940931839948ddeb1ca","observation_id":"3923c27a-5332-46db-a95e-6f07c8dbcc5a","resolution":{"observed_at":"2026-08-03T02:05:38.849999Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:38.960224Z","title":"Balay, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:38.960224Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:58f8b34ff681a37f2854866166c7b350ea99e7e28d22c6308fbe1ff33c4f3349","observation_id":"813ed2cf-7fbe-44e3-ab37-5bcb2de6bb91","resolution":{"observed_at":"2026-08-03T02:05:38.960224Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.128239Z","title":"Balay, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.128239Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:8ecdb1797256a600daec0d84fda7fd47f86aa2f618ac8f7b86471eebd13b9db5","observation_id":"ef154427-8e71-4f58-9947-c79a32ff8a0e","resolution":{"observed_at":"2026-08-03T02:05:39.128239Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.296299Z","title":"Balay, W","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.296299Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:127bc93260dafc95636bf32a9433da1f7882072161a4e8c1832f69255d3569ce","observation_id":"418ac92c-4a55-436f-8527-d53ad8b78a42","resolution":{"observed_at":"2026-08-03T02:05:39.296299Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.462094Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.462094Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:7d5691e395ea81ed05d537e601bffb931e529d857bfae1164f4f2f39876096ed","observation_id":"cc978808-ac57-49ae-8115-0d282e640979","resolution":{"observed_at":"2026-08-03T02:05:39.462094Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.626644Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.626644Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:d14bd3c8079f06757a733fcecc185430524059708cda5b6f7382c064b5b33c27","observation_id":"5a19410d-07ad-4a91-bc8a-7f315082c74a","resolution":{"observed_at":"2026-08-03T02:05:39.626644Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.732755Z","title":"Hofacker, C","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.732755Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:c15b7fa4326a7cca949488ecf614e9c15564acc932239683831a2fd7502b2d2a","observation_id":"d756bbc5-490d-48ad-a3a6-0ca4bb62f4ea","resolution":{"observed_at":"2026-08-03T02:05:39.732755Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.803752Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.803752Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:527acd831dc9ac3e16eb686348838165760b5d9b48e1393de510e14b0b253305","observation_id":"55bf6c56-6777-47f0-b29a-1c70cb187a98","resolution":{"observed_at":"2026-08-03T02:05:39.803752Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.842652Z","title":"Amestoy, I","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.842652Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:4a5852cc625e5c9848996334e2dc4853581116c0dfe32460aff156f45d8825d2","observation_id":"b1895387-767a-422b-b13e-f24ba817f80d","resolution":{"observed_at":"2026-08-03T02:05:39.842652Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T02:05:39.920475Z","title":"Amestoy, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-03T02:05:39.920475Z"},"links":{"citing_paper":"/paper/2607.13599"},"observation_digest":"sha256:0c1e3ced7a206bcd68e71e1e4f4cded5c8928e03e5281c1ac287fd237aca682c","observation_id":"71fc91f8-8bb7-4987-a584-d71b567c07aa","resolution":{"observed_at":"2026-08-03T02:05:39.920475Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.13599","last_updated":"2026-07-31T14:23:57Z","latest_version":2,"primary_category":"cs.CE","snapshot_observed_at":"2026-08-15T16:38:19.855250Z","submitted_at":"2026-07-15T08:47:59Z","title":"On phase-field regularization in dynamic fracture with brittle and cohesive formulations"},"reference_resolution":{"displayed":80,"state_counts":{"malformed_identifier":5,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":75,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":80},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 0 inbound Pith citation observations for arXiv:2607.13599."}