{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LSAMSIWBWABMBOLI27XQUUCP3E","short_pith_number":"pith:LSAMSIWB","canonical_record":{"source":{"id":"1011.3903","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-17T07:47:36Z","cross_cats_sorted":[],"title_canon_sha256":"5b5e8fa3fe32892561f2c6664a6681ad038155a4e5d16890429b7741cc81a1d1","abstract_canon_sha256":"9405bdccb76e424fa99510ad78c53bf91e93c3115c50f4296c9a36bcf5690f05"},"schema_version":"1.0"},"canonical_sha256":"5c80c922c1b002c0b968d7ef0a504fd90becf1849dc3de37967c780d6efa93db","source":{"kind":"arxiv","id":"1011.3903","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3903","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3903v1","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3903","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"LSAMSIWBWABM","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LSAMSIWBWABMBOLI","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LSAMSIWB","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LSAMSIWBWABMBOLI27XQUUCP3E","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3903","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-17T07:47:36Z","cross_cats_sorted":[],"title_canon_sha256":"5b5e8fa3fe32892561f2c6664a6681ad038155a4e5d16890429b7741cc81a1d1","abstract_canon_sha256":"9405bdccb76e424fa99510ad78c53bf91e93c3115c50f4296c9a36bcf5690f05"},"schema_version":"1.0"},"canonical_sha256":"5c80c922c1b002c0b968d7ef0a504fd90becf1849dc3de37967c780d6efa93db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:06.401007Z","signature_b64":"9y+4MRqvXCPJr5MHLk8UjLxJ8rtWgc1cgUoEz7qK26iTftcc30F6aTnH59ZHOgm2xjOlkFzdHj4AwCzFwdstBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c80c922c1b002c0b968d7ef0a504fd90becf1849dc3de37967c780d6efa93db","last_reissued_at":"2026-05-18T02:42:06.400580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:06.400580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3903","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":"2026-05-18T02:42:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tL/G7kKnukMioBQ7nMbsQS1UIbG9DgqNM37p5kaoiHsDVRdRQL2wfSynshI2b5U9UA1MgqpS6oOH3LvI/0sNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:45:41.535263Z"},"content_sha256":"d1b04a37454a83226541402dc6df989cc278689b02431585e40fd026556a3b01","schema_version":"1.0","event_id":"sha256:d1b04a37454a83226541402dc6df989cc278689b02431585e40fd026556a3b01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LSAMSIWBWABMBOLI27XQUUCP3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Green's functions for parabolic systems of second order in time-varying domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hongjie Dong, Seick Kim","submitted_at":"2010-11-17T07:47:36Z","abstract_excerpt":"We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz continuous in the spatial variables and 1/2-H\\\"older continuous in the time variable, under the assumption that weak solutions of the system satisfy an interior H\\\"older continuity estimate. We also derive global pointwise estimates for Green's function in such time-varying domains under the assumption that weak solutions of the system vanishing on a portion of the boundary satisfy a certain local"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3903","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":"2026-05-18T02:42:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U0Gqpgw5tugV96MySVqkcwm+cz6UdKT0/dPvyw+x9NZNL5ut+C5wdLw0wBilspNVapPUtKikCWsCokONQwUyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:45:41.535625Z"},"content_sha256":"dd7e89ed5c6c1ec45a2e52e2b9952badce7d399e23a278eefc74e30562e50e3c","schema_version":"1.0","event_id":"sha256:dd7e89ed5c6c1ec45a2e52e2b9952badce7d399e23a278eefc74e30562e50e3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LSAMSIWBWABMBOLI27XQUUCP3E/bundle.json","state_url":"https://pith.science/pith/LSAMSIWBWABMBOLI27XQUUCP3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LSAMSIWBWABMBOLI27XQUUCP3E/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":"2026-06-03T06:45:41Z","links":{"resolver":"https://pith.science/pith/LSAMSIWBWABMBOLI27XQUUCP3E","bundle":"https://pith.science/pith/LSAMSIWBWABMBOLI27XQUUCP3E/bundle.json","state":"https://pith.science/pith/LSAMSIWBWABMBOLI27XQUUCP3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LSAMSIWBWABMBOLI27XQUUCP3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LSAMSIWBWABMBOLI27XQUUCP3E","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":"9405bdccb76e424fa99510ad78c53bf91e93c3115c50f4296c9a36bcf5690f05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-17T07:47:36Z","title_canon_sha256":"5b5e8fa3fe32892561f2c6664a6681ad038155a4e5d16890429b7741cc81a1d1"},"schema_version":"1.0","source":{"id":"1011.3903","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3903","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3903v1","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3903","created_at":"2026-05-18T02:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"LSAMSIWBWABM","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LSAMSIWBWABMBOLI","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LSAMSIWB","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:dd7e89ed5c6c1ec45a2e52e2b9952badce7d399e23a278eefc74e30562e50e3c","target":"graph","created_at":"2026-05-18T02:42:06Z","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 construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz continuous in the spatial variables and 1/2-H\\\"older continuous in the time variable, under the assumption that weak solutions of the system satisfy an interior H\\\"older continuity estimate. We also derive global pointwise estimates for Green's function in such time-varying domains under the assumption that weak solutions of the system vanishing on a portion of the boundary satisfy a certain local","authors_text":"Hongjie Dong, Seick Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-17T07:47:36Z","title":"Green's functions for parabolic systems of second order in time-varying domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3903","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:d1b04a37454a83226541402dc6df989cc278689b02431585e40fd026556a3b01","target":"record","created_at":"2026-05-18T02:42:06Z","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":"9405bdccb76e424fa99510ad78c53bf91e93c3115c50f4296c9a36bcf5690f05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-11-17T07:47:36Z","title_canon_sha256":"5b5e8fa3fe32892561f2c6664a6681ad038155a4e5d16890429b7741cc81a1d1"},"schema_version":"1.0","source":{"id":"1011.3903","kind":"arxiv","version":1}},"canonical_sha256":"5c80c922c1b002c0b968d7ef0a504fd90becf1849dc3de37967c780d6efa93db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c80c922c1b002c0b968d7ef0a504fd90becf1849dc3de37967c780d6efa93db","first_computed_at":"2026-05-18T02:42:06.400580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:06.400580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9y+4MRqvXCPJr5MHLk8UjLxJ8rtWgc1cgUoEz7qK26iTftcc30F6aTnH59ZHOgm2xjOlkFzdHj4AwCzFwdstBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:06.401007Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3903","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1b04a37454a83226541402dc6df989cc278689b02431585e40fd026556a3b01","sha256:dd7e89ed5c6c1ec45a2e52e2b9952badce7d399e23a278eefc74e30562e50e3c"],"state_sha256":"0a3369d67e0f0fd825054ee30a5ec2c955d69b74fc86cabb766567356a513964"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3yahPwFAm9i1MUKesnzyNvaMWovdOZbQ5MXeJzBj0HNqojofk/Ivmy3vVSOuTEwRrH+b0bcrn/xMHVB/u7GqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:45:41.537610Z","bundle_sha256":"2443eaaf5769a782517b7edcfd485f9ed50db16dda3d0c3ed9d145df302715cd"}}