{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:E42XXCSPMXFB2L6CLUQGSIQWAJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9b533478f8df04a72d9ee56ff71cea5a9568568251750bd6560a8db20f3689c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-06T06:02:15Z","title_canon_sha256":"952be086812769dbf583936d9fe295588ae565a2f1517eb3e9f93652d25c280b"},"schema_version":"1.0","source":{"id":"1104.1013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1013","created_at":"2026-05-18T04:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1013v1","created_at":"2026-05-18T04:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1013","created_at":"2026-05-18T04:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"E42XXCSPMXFB","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"E42XXCSPMXFB2L6C","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"E42XXCSP","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:125b2d67373009e324acf0997563891a265a10437e6cccda817ece6b4419c223","target":"graph","created_at":"2026-05-18T04:24:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Form methods give a very efficient tool to solve evolutionary problems on Hilbert space. They were developed by T. Kato [Kat] and, in slightly different language by J.L. Lions. In this expository article we give an introduction based on [AE2]. The main point in our approach is that the notion of closability is not needed anymore. The new setting is particularly efficient for the Dirichlet-to-Neumann operator and degenerate equations. Besides this we give several other examples. This presentation starts by an introduction to holomorphic semigroups. Instead of the contour argument found in the l","authors_text":"A. F. M. ter Elst, Wolfgang Arendt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-06T06:02:15Z","title":"From forms to semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1013","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dd4cc11801edfa9ade23669202fd6cc7a44ff26da216f6966468695ed3122a9c","target":"record","created_at":"2026-05-18T04:24:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9b533478f8df04a72d9ee56ff71cea5a9568568251750bd6560a8db20f3689c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-06T06:02:15Z","title_canon_sha256":"952be086812769dbf583936d9fe295588ae565a2f1517eb3e9f93652d25c280b"},"schema_version":"1.0","source":{"id":"1104.1013","kind":"arxiv","version":1}},"canonical_sha256":"27357b8a4f65ca1d2fc25d20692216025b0bef8624ad330605d429301daba02e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27357b8a4f65ca1d2fc25d20692216025b0bef8624ad330605d429301daba02e","first_computed_at":"2026-05-18T04:24:53.788110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:53.788110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mPb/FlWjy1L/wMClEj8ARe4lm17au0eg9J3/LL5kBLcsVn6gxaBoaE0Zvg5krM/33PSuasIFVKXC+Qc9jiTnDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:53.788674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd4cc11801edfa9ade23669202fd6cc7a44ff26da216f6966468695ed3122a9c","sha256:125b2d67373009e324acf0997563891a265a10437e6cccda817ece6b4419c223"],"state_sha256":"39d5d37f8e96b0943073cfae7bb34566149c3981f4406aaa7a80b3abfdb7a04a"}