{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ICGU2HNR34B4I6FV4PF3YIEMCE","short_pith_number":"pith:ICGU2HNR","canonical_record":{"source":{"id":"1610.07958","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-25T16:44:16Z","cross_cats_sorted":[],"title_canon_sha256":"ec1f46f218516ae491d277cfa3c3288ebef53cf163b149b867ddd48ca447da2f","abstract_canon_sha256":"6a804148ce225a4c976df8d516480f3d9234ed6a45afaa5d06f7a61e9c54ee7c"},"schema_version":"1.0"},"canonical_sha256":"408d4d1db1df03c478b5e3cbbc208c112cdd4b0f7b74fabf47df44f38ed98d09","source":{"kind":"arxiv","id":"1610.07958","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07958","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07958v4","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07958","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"ICGU2HNR34B4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"ICGU2HNR34B4I6FV","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"ICGU2HNR","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ICGU2HNR34B4I6FV4PF3YIEMCE","target":"record","payload":{"canonical_record":{"source":{"id":"1610.07958","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-25T16:44:16Z","cross_cats_sorted":[],"title_canon_sha256":"ec1f46f218516ae491d277cfa3c3288ebef53cf163b149b867ddd48ca447da2f","abstract_canon_sha256":"6a804148ce225a4c976df8d516480f3d9234ed6a45afaa5d06f7a61e9c54ee7c"},"schema_version":"1.0"},"canonical_sha256":"408d4d1db1df03c478b5e3cbbc208c112cdd4b0f7b74fabf47df44f38ed98d09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:58.448466Z","signature_b64":"Sj0WY8Fa9dNv0sQcoWB8LlIxiD5TsUVdx7hkp8uCD8RmcAWeWPai5eEBqOlGfTxSB/LkxLZFk63yzxKwqD1gDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"408d4d1db1df03c478b5e3cbbc208c112cdd4b0f7b74fabf47df44f38ed98d09","last_reissued_at":"2026-05-17T23:41:58.447763Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:58.447763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.07958","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qj4IagXeHreV68IdRTu9Ry6TCw72Et9NanvZe8F4Ul3GL/95e1n7JVeIplFozZuLkjuqAX9jkBm7KhRaihEqDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:36:06.432049Z"},"content_sha256":"8ee3deb93339dd5005a3ce8f30bc21e446751b9daa295265d2a602c5e9005f11","schema_version":"1.0","event_id":"sha256:8ee3deb93339dd5005a3ce8f30bc21e446751b9daa295265d2a602c5e9005f11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ICGU2HNR34B4I6FV4PF3YIEMCE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Decay of Almost Periodic Solutions of Anisotropic Degenerate Parabolic-Hyperbolic Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hermano Frid","submitted_at":"2016-10-25T16:44:16Z","abstract_excerpt":"We discuss the well-posedness and decay of Besicovitch almost periodic solutions for a class of nonlinear degenerate anisotropic hyperbolic-parabolic equations. In our definition of weak entropy solution the initial data is only assumed in a weak sense, and in this connection the strong trace of the solution in the initial time hyperplane is also established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07958","kind":"arxiv","version":4},"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":"2026-05-17T23:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KHHxX3KCa2mD+u4PPOQMmXzJn8Xg24X2xo7YdusARidRQtewazHMBZqugPGVOA7HQ5Zms/Orq3N0SxX4pMF2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:36:06.432791Z"},"content_sha256":"a7e50f454025e0e4a2a17019dc6b05ddb06fb93fbb366d6157e7ab7f4cd8c2d7","schema_version":"1.0","event_id":"sha256:a7e50f454025e0e4a2a17019dc6b05ddb06fb93fbb366d6157e7ab7f4cd8c2d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ICGU2HNR34B4I6FV4PF3YIEMCE/bundle.json","state_url":"https://pith.science/pith/ICGU2HNR34B4I6FV4PF3YIEMCE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ICGU2HNR34B4I6FV4PF3YIEMCE/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":"2026-05-28T13:36:06Z","links":{"resolver":"https://pith.science/pith/ICGU2HNR34B4I6FV4PF3YIEMCE","bundle":"https://pith.science/pith/ICGU2HNR34B4I6FV4PF3YIEMCE/bundle.json","state":"https://pith.science/pith/ICGU2HNR34B4I6FV4PF3YIEMCE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ICGU2HNR34B4I6FV4PF3YIEMCE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ICGU2HNR34B4I6FV4PF3YIEMCE","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":"6a804148ce225a4c976df8d516480f3d9234ed6a45afaa5d06f7a61e9c54ee7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-25T16:44:16Z","title_canon_sha256":"ec1f46f218516ae491d277cfa3c3288ebef53cf163b149b867ddd48ca447da2f"},"schema_version":"1.0","source":{"id":"1610.07958","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07958","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07958v4","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07958","created_at":"2026-05-17T23:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"ICGU2HNR34B4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"ICGU2HNR34B4I6FV","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"ICGU2HNR","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:a7e50f454025e0e4a2a17019dc6b05ddb06fb93fbb366d6157e7ab7f4cd8c2d7","target":"graph","created_at":"2026-05-17T23:41:58Z","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 discuss the well-posedness and decay of Besicovitch almost periodic solutions for a class of nonlinear degenerate anisotropic hyperbolic-parabolic equations. In our definition of weak entropy solution the initial data is only assumed in a weak sense, and in this connection the strong trace of the solution in the initial time hyperplane is also established.","authors_text":"Hermano Frid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-25T16:44:16Z","title":"On the Decay of Almost Periodic Solutions of Anisotropic Degenerate Parabolic-Hyperbolic Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07958","kind":"arxiv","version":4},"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":"sha256:8ee3deb93339dd5005a3ce8f30bc21e446751b9daa295265d2a602c5e9005f11","target":"record","created_at":"2026-05-17T23:41:58Z","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":"6a804148ce225a4c976df8d516480f3d9234ed6a45afaa5d06f7a61e9c54ee7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-25T16:44:16Z","title_canon_sha256":"ec1f46f218516ae491d277cfa3c3288ebef53cf163b149b867ddd48ca447da2f"},"schema_version":"1.0","source":{"id":"1610.07958","kind":"arxiv","version":4}},"canonical_sha256":"408d4d1db1df03c478b5e3cbbc208c112cdd4b0f7b74fabf47df44f38ed98d09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"408d4d1db1df03c478b5e3cbbc208c112cdd4b0f7b74fabf47df44f38ed98d09","first_computed_at":"2026-05-17T23:41:58.447763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:58.447763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sj0WY8Fa9dNv0sQcoWB8LlIxiD5TsUVdx7hkp8uCD8RmcAWeWPai5eEBqOlGfTxSB/LkxLZFk63yzxKwqD1gDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:58.448466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07958","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ee3deb93339dd5005a3ce8f30bc21e446751b9daa295265d2a602c5e9005f11","sha256:a7e50f454025e0e4a2a17019dc6b05ddb06fb93fbb366d6157e7ab7f4cd8c2d7"],"state_sha256":"a69c070bcd5c4b7a2b4fb536f80e9246ac4aeb65dc6629709d87a5b4bc0ec5b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NqAJc9sfzy+7UEp97ah7pBHcAfEgpt32/KuqTiUMgrXQ7yzXlrfxINpzd93jn+obhXjpSm2u5SxSPJrMogdSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:36:06.436464Z","bundle_sha256":"7203eb4f36cfe8965636f25994d9432e575d35d440948f421b763e1148a70b39"}}