{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5HMBZID7G3WMY7SAPRVHHP3HKI","short_pith_number":"pith:5HMBZID7","canonical_record":{"source":{"id":"1206.0600","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-04T12:52:55Z","cross_cats_sorted":[],"title_canon_sha256":"89597b7b1621a910d5ffc9454b55bf2c0f4c99ab71546b4bcdc89871a541ad57","abstract_canon_sha256":"6169087068c7a6d5804bd96198e2e957d97d7838a44b25ad6e6bc05242a17789"},"schema_version":"1.0"},"canonical_sha256":"e9d81ca07f36eccc7e407c6a73bf675225f836ecc34c45742242edeaf9cb50b9","source":{"kind":"arxiv","id":"1206.0600","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0600","created_at":"2026-05-18T03:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0600v2","created_at":"2026-05-18T03:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0600","created_at":"2026-05-18T03:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"5HMBZID7G3WM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5HMBZID7G3WMY7SA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5HMBZID7","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5HMBZID7G3WMY7SAPRVHHP3HKI","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0600","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-04T12:52:55Z","cross_cats_sorted":[],"title_canon_sha256":"89597b7b1621a910d5ffc9454b55bf2c0f4c99ab71546b4bcdc89871a541ad57","abstract_canon_sha256":"6169087068c7a6d5804bd96198e2e957d97d7838a44b25ad6e6bc05242a17789"},"schema_version":"1.0"},"canonical_sha256":"e9d81ca07f36eccc7e407c6a73bf675225f836ecc34c45742242edeaf9cb50b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:38.184850Z","signature_b64":"wD2759hoZk8HpWo+z4M2pwJroTNGmP9WcOPwHyt2W2nb6iD08fp3uAaKCar+Ikx8OY1asJ8Zt3/QOgoQcpQdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9d81ca07f36eccc7e407c6a73bf675225f836ecc34c45742242edeaf9cb50b9","last_reissued_at":"2026-05-18T03:34:38.184307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:38.184307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0600","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:34:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zbNWn5Jzp3yK43Jxu/WeJ98mYGiIWYdi57aKO79KgTDgxsBgfBRZONxcemDbGHEpss3toHn9RSUl52nh3z4NDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:28:57.923789Z"},"content_sha256":"c5285b07fb8d5825ddf08b8bf3b09eb39f81fd26f61dcd6904cdc09667f36421","schema_version":"1.0","event_id":"sha256:c5285b07fb8d5825ddf08b8bf3b09eb39f81fd26f61dcd6904cdc09667f36421"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5HMBZID7G3WMY7SAPRVHHP3HKI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parabolic equations with dynamical boundary conditions and source terms on interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. F. M. ter Elst, Joachim Rehberg, Martin Meyries","submitted_at":"2012-06-04T12:52:55Z","abstract_excerpt":"We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regularity assumptions on the domain and the coefficients are imposed. It is shown that the corresponding linear operator enjoys maximal parabolic regularity in a suitable $L^p$-setting. The linear results suffice to treat also the corresponding nondegenerate quasilinear problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0600","kind":"arxiv","version":2},"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":"2026-05-18T03:34:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J+rPm2/mfvnVRvZBWamD6S9xthpoIq/Bam5HpsvynjaH2l+ZYBEF/jcOKbFkBXNxY35P03KqO7dPgCtpjIaqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:28:57.924131Z"},"content_sha256":"53c397a953c64e46a9b3fd58cafad6c326fd4e99968965a5414030ff823fc0bb","schema_version":"1.0","event_id":"sha256:53c397a953c64e46a9b3fd58cafad6c326fd4e99968965a5414030ff823fc0bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5HMBZID7G3WMY7SAPRVHHP3HKI/bundle.json","state_url":"https://pith.science/pith/5HMBZID7G3WMY7SAPRVHHP3HKI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5HMBZID7G3WMY7SAPRVHHP3HKI/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":"2026-05-28T02:28:57Z","links":{"resolver":"https://pith.science/pith/5HMBZID7G3WMY7SAPRVHHP3HKI","bundle":"https://pith.science/pith/5HMBZID7G3WMY7SAPRVHHP3HKI/bundle.json","state":"https://pith.science/pith/5HMBZID7G3WMY7SAPRVHHP3HKI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5HMBZID7G3WMY7SAPRVHHP3HKI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5HMBZID7G3WMY7SAPRVHHP3HKI","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":"6169087068c7a6d5804bd96198e2e957d97d7838a44b25ad6e6bc05242a17789","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-04T12:52:55Z","title_canon_sha256":"89597b7b1621a910d5ffc9454b55bf2c0f4c99ab71546b4bcdc89871a541ad57"},"schema_version":"1.0","source":{"id":"1206.0600","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0600","created_at":"2026-05-18T03:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0600v2","created_at":"2026-05-18T03:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0600","created_at":"2026-05-18T03:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"5HMBZID7G3WM","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5HMBZID7G3WMY7SA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5HMBZID7","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:53c397a953c64e46a9b3fd58cafad6c326fd4e99968965a5414030ff823fc0bb","target":"graph","created_at":"2026-05-18T03:34:38Z","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":"We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regularity assumptions on the domain and the coefficients are imposed. It is shown that the corresponding linear operator enjoys maximal parabolic regularity in a suitable $L^p$-setting. The linear results suffice to treat also the corresponding nondegenerate quasilinear problems.","authors_text":"A. F. M. ter Elst, Joachim Rehberg, Martin Meyries","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-04T12:52:55Z","title":"Parabolic equations with dynamical boundary conditions and source terms on interfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0600","kind":"arxiv","version":2},"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:c5285b07fb8d5825ddf08b8bf3b09eb39f81fd26f61dcd6904cdc09667f36421","target":"record","created_at":"2026-05-18T03:34:38Z","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":"6169087068c7a6d5804bd96198e2e957d97d7838a44b25ad6e6bc05242a17789","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-04T12:52:55Z","title_canon_sha256":"89597b7b1621a910d5ffc9454b55bf2c0f4c99ab71546b4bcdc89871a541ad57"},"schema_version":"1.0","source":{"id":"1206.0600","kind":"arxiv","version":2}},"canonical_sha256":"e9d81ca07f36eccc7e407c6a73bf675225f836ecc34c45742242edeaf9cb50b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9d81ca07f36eccc7e407c6a73bf675225f836ecc34c45742242edeaf9cb50b9","first_computed_at":"2026-05-18T03:34:38.184307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:38.184307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wD2759hoZk8HpWo+z4M2pwJroTNGmP9WcOPwHyt2W2nb6iD08fp3uAaKCar+Ikx8OY1asJ8Zt3/QOgoQcpQdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:38.184850Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0600","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5285b07fb8d5825ddf08b8bf3b09eb39f81fd26f61dcd6904cdc09667f36421","sha256:53c397a953c64e46a9b3fd58cafad6c326fd4e99968965a5414030ff823fc0bb"],"state_sha256":"a3ce0570fc26add554a429383b7746daf93be4c9e231cc6d9e4a59c55343ed7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uH77BsYU8jCF0IYYq6M8LDPoAI6ukIkok8DvjJUq+tWMwF5H4aehEmd4bY3PS7Mr1L9WtVOzP/5JRdZegfpRDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:28:57.926095Z","bundle_sha256":"7c583eedb04abdaa30b38427c4dfa8fff6cb605c949fc5a98ff81a7fbd61130b"}}