{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Q7I7NDOGIXPKAYPDQ6XZNVJFWZ","short_pith_number":"pith:Q7I7NDOG","canonical_record":{"source":{"id":"1512.06576","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2015-12-21T10:49:44Z","cross_cats_sorted":[],"title_canon_sha256":"825dcec21ae0dc50a1232928333ba3698f4a62a470e81c00d15aa7571d505d8c","abstract_canon_sha256":"3ead6b37eceb16051498e91019bc1bd89ea5980f4aec6b4b7d9c0c04f2aa8c8b"},"schema_version":"1.0"},"canonical_sha256":"87d1f68dc645dea061e387af96d525b676f7351cfc95e27078317c0bc08a747f","source":{"kind":"arxiv","id":"1512.06576","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06576","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06576v3","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06576","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"Q7I7NDOGIXPK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q7I7NDOGIXPKAYPD","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q7I7NDOG","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Q7I7NDOGIXPKAYPDQ6XZNVJFWZ","target":"record","payload":{"canonical_record":{"source":{"id":"1512.06576","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2015-12-21T10:49:44Z","cross_cats_sorted":[],"title_canon_sha256":"825dcec21ae0dc50a1232928333ba3698f4a62a470e81c00d15aa7571d505d8c","abstract_canon_sha256":"3ead6b37eceb16051498e91019bc1bd89ea5980f4aec6b4b7d9c0c04f2aa8c8b"},"schema_version":"1.0"},"canonical_sha256":"87d1f68dc645dea061e387af96d525b676f7351cfc95e27078317c0bc08a747f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:44.795158Z","signature_b64":"KuiH7bBJGY8Yo+X7AxeIWuOTBRfsk25HN1BjeqlQzJJv7RiB3hwGKlxjijsIa9PwHuM27d9QakB8x448Ky55Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87d1f68dc645dea061e387af96d525b676f7351cfc95e27078317c0bc08a747f","last_reissued_at":"2026-05-17T23:52:44.794624Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:44.794624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.06576","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ayHd+3Md2VVPqRFqKMmSfprvAjLheKif/mvkBVbTxT8T3yVO7YZHUt/zH3uuVSxOwf28gt+wICIi24R31DZTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:25:41.998145Z"},"content_sha256":"57976e6802d577e4be84fe47cc246d5f2550e4bf858c42e07c0c98f47c63b302","schema_version":"1.0","event_id":"sha256:57976e6802d577e4be84fe47cc246d5f2550e4bf858c42e07c0c98f47c63b302"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Q7I7NDOGIXPKAYPDQ6XZNVJFWZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"H\\\"{o}lder Continuous Solutions Of Boussinesq Equation with compact support","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Liqun Zhang, Tao Tao","submitted_at":"2015-12-21T10:49:44Z","abstract_excerpt":"We show the existence of Holder continuous solution of Boussinesq equations in whole space which has compact support both in space and time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06576","kind":"arxiv","version":3},"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":"2026-05-17T23:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3fwaPcmfU7xCgcM6161WomaFprOAJ0HR38IVnX4jLeVU3guC77drjnuA38BGWO5Tj5iyEQJoOpk6SDMbEON9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:25:41.998842Z"},"content_sha256":"8b0ce4176127f8117699fcfe5192789dfedd1d065752cf0c1841d3b1dbc546d1","schema_version":"1.0","event_id":"sha256:8b0ce4176127f8117699fcfe5192789dfedd1d065752cf0c1841d3b1dbc546d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ/bundle.json","state_url":"https://pith.science/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ/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":"2026-07-02T07:25:42Z","links":{"resolver":"https://pith.science/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ","bundle":"https://pith.science/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ/bundle.json","state":"https://pith.science/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q7I7NDOGIXPKAYPDQ6XZNVJFWZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q7I7NDOGIXPKAYPDQ6XZNVJFWZ","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":"3ead6b37eceb16051498e91019bc1bd89ea5980f4aec6b4b7d9c0c04f2aa8c8b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2015-12-21T10:49:44Z","title_canon_sha256":"825dcec21ae0dc50a1232928333ba3698f4a62a470e81c00d15aa7571d505d8c"},"schema_version":"1.0","source":{"id":"1512.06576","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06576","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06576v3","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06576","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"Q7I7NDOGIXPK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q7I7NDOGIXPKAYPD","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q7I7NDOG","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:8b0ce4176127f8117699fcfe5192789dfedd1d065752cf0c1841d3b1dbc546d1","target":"graph","created_at":"2026-05-17T23:52:44Z","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 show the existence of Holder continuous solution of Boussinesq equations in whole space which has compact support both in space and time.","authors_text":"Liqun Zhang, Tao Tao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2015-12-21T10:49:44Z","title":"H\\\"{o}lder Continuous Solutions Of Boussinesq Equation with compact support"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06576","kind":"arxiv","version":3},"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":"sha256:57976e6802d577e4be84fe47cc246d5f2550e4bf858c42e07c0c98f47c63b302","target":"record","created_at":"2026-05-17T23:52:44Z","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":"3ead6b37eceb16051498e91019bc1bd89ea5980f4aec6b4b7d9c0c04f2aa8c8b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2015-12-21T10:49:44Z","title_canon_sha256":"825dcec21ae0dc50a1232928333ba3698f4a62a470e81c00d15aa7571d505d8c"},"schema_version":"1.0","source":{"id":"1512.06576","kind":"arxiv","version":3}},"canonical_sha256":"87d1f68dc645dea061e387af96d525b676f7351cfc95e27078317c0bc08a747f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87d1f68dc645dea061e387af96d525b676f7351cfc95e27078317c0bc08a747f","first_computed_at":"2026-05-17T23:52:44.794624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:44.794624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KuiH7bBJGY8Yo+X7AxeIWuOTBRfsk25HN1BjeqlQzJJv7RiB3hwGKlxjijsIa9PwHuM27d9QakB8x448Ky55Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:44.795158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06576","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57976e6802d577e4be84fe47cc246d5f2550e4bf858c42e07c0c98f47c63b302","sha256:8b0ce4176127f8117699fcfe5192789dfedd1d065752cf0c1841d3b1dbc546d1"],"state_sha256":"3230d93bc868d0fc081a83b9135e357723551be0ac59fbc6a7ba8bc15b29b855"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PucilauPl+RXVmpI9+CvLT3SoDwh0/yq+S/ekAdxUHkVigsaTfbE6UasWa2rm1Dv1mrtfGeJ+0CqdBh1joQ/Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T07:25:42.002203Z","bundle_sha256":"d5977d790fe88844fbaf12b31fdf0d65ff15fed15251db13968e09a2014b87e5"}}