{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Y4UGQKS7W5XRCLDQC64SPOOHFQ","short_pith_number":"pith:Y4UGQKS7","canonical_record":{"source":{"id":"1412.7565","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-12-23T22:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"0bb75bbe0d7bb0b908359ec1ee9c7109f7693c182fbe5de072773749c1b2b103","abstract_canon_sha256":"1fa96b49f59660a5cc7a67289a3b6bcd73db74f29d99bbbfac3edb4bfc9a6c12"},"schema_version":"1.0"},"canonical_sha256":"c728682a5fb76f112c7017b927b9c72c1852cd9f2e295c88c1a79a2e863d0191","source":{"kind":"arxiv","id":"1412.7565","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7565","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7565v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7565","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"Y4UGQKS7W5XR","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y4UGQKS7W5XRCLDQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y4UGQKS7","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Y4UGQKS7W5XRCLDQC64SPOOHFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1412.7565","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-12-23T22:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"0bb75bbe0d7bb0b908359ec1ee9c7109f7693c182fbe5de072773749c1b2b103","abstract_canon_sha256":"1fa96b49f59660a5cc7a67289a3b6bcd73db74f29d99bbbfac3edb4bfc9a6c12"},"schema_version":"1.0"},"canonical_sha256":"c728682a5fb76f112c7017b927b9c72c1852cd9f2e295c88c1a79a2e863d0191","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:33.499248Z","signature_b64":"GrOTOIT8eo7K40mMSAybrvMl18Kd+2WTeCYGUjUzv7r1XqCm8cUXiFX5DMDxB/Ru196qGxjp36GHQmQBGxosAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c728682a5fb76f112c7017b927b9c72c1852cd9f2e295c88c1a79a2e863d0191","last_reissued_at":"2026-05-18T02:30:33.498629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:33.498629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.7565","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XmdwvzOW+nbTQ0Iv/Afl4Ldsfxdu6a60pVkFXxBbJ2AHnqqabycM2ptTK78Vr6Of8rAPhrBgBynT6uD+/g6nAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:50:47.196418Z"},"content_sha256":"5ae74cbd253a070e13975aa07c8ca95df97e7ba3e2164dd054d24c5f60f25ded","schema_version":"1.0","event_id":"sha256:5ae74cbd253a070e13975aa07c8ca95df97e7ba3e2164dd054d24c5f60f25ded"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Y4UGQKS7W5XRCLDQC64SPOOHFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Dirichlet forms and semi-Dirichlet forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Moritz Kassmann","submitted_at":"2014-12-23T22:20:53Z","abstract_excerpt":"One aim of this note is to give an overview of some developments in the area of Dirichlet forms. A second aim is to review the new book \"Semi-{D}irichlet forms and {M}arkov processes\" by Yoichi Oshima. The book appeared last year, but first versions were written as lecture notes 25 years ago. We first give a rather short and light introduction into the field of Dirichlet forms with a special emphasis on the subjects presented in the book under consideration. After a small account on the history of Dirichlet forms we comment on the book by Oshima against the background of related works."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7565","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vOiVedpSjcOe78AZjdmQ1kh2GFjhuyzIbqHZyOim+hfFsq8rmz8YVTKP2/UsvaBXqg5SmK6p3MQbQ0Vu6kyFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:50:47.197009Z"},"content_sha256":"08e158d5900f0d74445f2a7a21837e37448f7e48e8679e8b552552ab1d71c9bc","schema_version":"1.0","event_id":"sha256:08e158d5900f0d74445f2a7a21837e37448f7e48e8679e8b552552ab1d71c9bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ/bundle.json","state_url":"https://pith.science/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T18:50:47Z","links":{"resolver":"https://pith.science/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ","bundle":"https://pith.science/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ/bundle.json","state":"https://pith.science/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y4UGQKS7W5XRCLDQC64SPOOHFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Y4UGQKS7W5XRCLDQC64SPOOHFQ","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":"1fa96b49f59660a5cc7a67289a3b6bcd73db74f29d99bbbfac3edb4bfc9a6c12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-12-23T22:20:53Z","title_canon_sha256":"0bb75bbe0d7bb0b908359ec1ee9c7109f7693c182fbe5de072773749c1b2b103"},"schema_version":"1.0","source":{"id":"1412.7565","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7565","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7565v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7565","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"Y4UGQKS7W5XR","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y4UGQKS7W5XRCLDQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y4UGQKS7","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:08e158d5900f0d74445f2a7a21837e37448f7e48e8679e8b552552ab1d71c9bc","target":"graph","created_at":"2026-05-18T02:30:33Z","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":"One aim of this note is to give an overview of some developments in the area of Dirichlet forms. A second aim is to review the new book \"Semi-{D}irichlet forms and {M}arkov processes\" by Yoichi Oshima. The book appeared last year, but first versions were written as lecture notes 25 years ago. We first give a rather short and light introduction into the field of Dirichlet forms with a special emphasis on the subjects presented in the book under consideration. After a small account on the history of Dirichlet forms we comment on the book by Oshima against the background of related works.","authors_text":"Moritz Kassmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-12-23T22:20:53Z","title":"On Dirichlet forms and semi-Dirichlet forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7565","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":"sha256:5ae74cbd253a070e13975aa07c8ca95df97e7ba3e2164dd054d24c5f60f25ded","target":"record","created_at":"2026-05-18T02:30:33Z","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":"1fa96b49f59660a5cc7a67289a3b6bcd73db74f29d99bbbfac3edb4bfc9a6c12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2014-12-23T22:20:53Z","title_canon_sha256":"0bb75bbe0d7bb0b908359ec1ee9c7109f7693c182fbe5de072773749c1b2b103"},"schema_version":"1.0","source":{"id":"1412.7565","kind":"arxiv","version":1}},"canonical_sha256":"c728682a5fb76f112c7017b927b9c72c1852cd9f2e295c88c1a79a2e863d0191","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c728682a5fb76f112c7017b927b9c72c1852cd9f2e295c88c1a79a2e863d0191","first_computed_at":"2026-05-18T02:30:33.498629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:33.498629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GrOTOIT8eo7K40mMSAybrvMl18Kd+2WTeCYGUjUzv7r1XqCm8cUXiFX5DMDxB/Ru196qGxjp36GHQmQBGxosAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:33.499248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7565","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ae74cbd253a070e13975aa07c8ca95df97e7ba3e2164dd054d24c5f60f25ded","sha256:08e158d5900f0d74445f2a7a21837e37448f7e48e8679e8b552552ab1d71c9bc"],"state_sha256":"083df6f1bb1dc09e62382743c754f5982007b7d78173f193e11cd0102daf5fb9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHj1wVNPce6lYmPuJLNG0i2oNF/oF+TAJrWgy+Dlqm0U5k+TfUnnsrQwlSkponbhEBBI42/ILLJgeCd1h6hiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:50:47.200086Z","bundle_sha256":"7fdcc5260484001c347170a6116c9141d6780841a219739229a16b6d54bcec91"}}