{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3JORPRM7CS5OXT5X6E36LRHWTL","short_pith_number":"pith:3JORPRM7","canonical_record":{"source":{"id":"1907.03151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-06T16:24:00Z","cross_cats_sorted":[],"title_canon_sha256":"1e379a7a7ef8fd6bfaebce3c41c2ed93a3c590a0bfbb6a4953c29517432c4c28","abstract_canon_sha256":"1c537a1afc43c49311c314988e1876263f86906a25cd28ede9b1142b772bf9c2"},"schema_version":"1.0"},"canonical_sha256":"da5d17c59f14baebcfb7f137e5c4f69aeccaf90db6b2463e03532d2369080f3f","source":{"kind":"arxiv","id":"1907.03151","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03151","created_at":"2026-05-17T23:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03151v1","created_at":"2026-05-17T23:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03151","created_at":"2026-05-17T23:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"3JORPRM7CS5O","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3JORPRM7CS5OXT5X","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3JORPRM7","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3JORPRM7CS5OXT5X6E36LRHWTL","target":"record","payload":{"canonical_record":{"source":{"id":"1907.03151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-06T16:24:00Z","cross_cats_sorted":[],"title_canon_sha256":"1e379a7a7ef8fd6bfaebce3c41c2ed93a3c590a0bfbb6a4953c29517432c4c28","abstract_canon_sha256":"1c537a1afc43c49311c314988e1876263f86906a25cd28ede9b1142b772bf9c2"},"schema_version":"1.0"},"canonical_sha256":"da5d17c59f14baebcfb7f137e5c4f69aeccaf90db6b2463e03532d2369080f3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:18.804506Z","signature_b64":"dTGnjSosLR/sgr9fWk57pynQhZX4zcWzynnF4+v+ieLal9y7DyK8f1zEcz53QxlXabYJ1tFs+6sA64P1upGGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da5d17c59f14baebcfb7f137e5c4f69aeccaf90db6b2463e03532d2369080f3f","last_reissued_at":"2026-05-17T23:41:18.804018Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:18.804018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.03151","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":"2026-05-17T23:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6X5FQCazExHACarWTxogRSNr+jcNKc7M/LW9Ox3TDZ+MQEvebbJsZ/2tyoEvDHv6oPtTPvloY8HDsMXCMpWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:54:09.560908Z"},"content_sha256":"79998d26a655f4ecdb95da893597d475eb9d5944b8f6e81a47963087341de9c9","schema_version":"1.0","event_id":"sha256:79998d26a655f4ecdb95da893597d475eb9d5944b8f6e81a47963087341de9c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3JORPRM7CS5OXT5X6E36LRHWTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved global well-posedness for defocusing sixth-order Boussinesq equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dan-Andrei Geba, Evan Witz","submitted_at":"2019-07-06T16:24:00Z","abstract_excerpt":"This article studies the global well-posedness for a class of defocusing, generalized sixth-order Boussinesq equations, extending a previous result obtained by Wang and Esfahani for the case when the nonlinear term is cubic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03151","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":"2026-05-17T23:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sXQWLgh8s16oaaNAnC1PCoSn7ci54oPSHwYVTd7GlDk4StYVc/3lo3PdVl2bCjq8/H6Ftqw1/QthTTur0De8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:54:09.561592Z"},"content_sha256":"0f0b0137fad93542d0942e937dfb9a4ed46586b5073616780df19e4a87077710","schema_version":"1.0","event_id":"sha256:0f0b0137fad93542d0942e937dfb9a4ed46586b5073616780df19e4a87077710"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3JORPRM7CS5OXT5X6E36LRHWTL/bundle.json","state_url":"https://pith.science/pith/3JORPRM7CS5OXT5X6E36LRHWTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3JORPRM7CS5OXT5X6E36LRHWTL/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":"2026-05-25T16:54:09Z","links":{"resolver":"https://pith.science/pith/3JORPRM7CS5OXT5X6E36LRHWTL","bundle":"https://pith.science/pith/3JORPRM7CS5OXT5X6E36LRHWTL/bundle.json","state":"https://pith.science/pith/3JORPRM7CS5OXT5X6E36LRHWTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3JORPRM7CS5OXT5X6E36LRHWTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3JORPRM7CS5OXT5X6E36LRHWTL","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":"1c537a1afc43c49311c314988e1876263f86906a25cd28ede9b1142b772bf9c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-06T16:24:00Z","title_canon_sha256":"1e379a7a7ef8fd6bfaebce3c41c2ed93a3c590a0bfbb6a4953c29517432c4c28"},"schema_version":"1.0","source":{"id":"1907.03151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03151","created_at":"2026-05-17T23:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03151v1","created_at":"2026-05-17T23:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03151","created_at":"2026-05-17T23:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"3JORPRM7CS5O","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3JORPRM7CS5OXT5X","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3JORPRM7","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:0f0b0137fad93542d0942e937dfb9a4ed46586b5073616780df19e4a87077710","target":"graph","created_at":"2026-05-17T23:41:18Z","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":"This article studies the global well-posedness for a class of defocusing, generalized sixth-order Boussinesq equations, extending a previous result obtained by Wang and Esfahani for the case when the nonlinear term is cubic.","authors_text":"Dan-Andrei Geba, Evan Witz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-06T16:24:00Z","title":"Improved global well-posedness for defocusing sixth-order Boussinesq equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03151","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":"sha256:79998d26a655f4ecdb95da893597d475eb9d5944b8f6e81a47963087341de9c9","target":"record","created_at":"2026-05-17T23:41:18Z","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":"1c537a1afc43c49311c314988e1876263f86906a25cd28ede9b1142b772bf9c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-06T16:24:00Z","title_canon_sha256":"1e379a7a7ef8fd6bfaebce3c41c2ed93a3c590a0bfbb6a4953c29517432c4c28"},"schema_version":"1.0","source":{"id":"1907.03151","kind":"arxiv","version":1}},"canonical_sha256":"da5d17c59f14baebcfb7f137e5c4f69aeccaf90db6b2463e03532d2369080f3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da5d17c59f14baebcfb7f137e5c4f69aeccaf90db6b2463e03532d2369080f3f","first_computed_at":"2026-05-17T23:41:18.804018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:18.804018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dTGnjSosLR/sgr9fWk57pynQhZX4zcWzynnF4+v+ieLal9y7DyK8f1zEcz53QxlXabYJ1tFs+6sA64P1upGGBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:18.804506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79998d26a655f4ecdb95da893597d475eb9d5944b8f6e81a47963087341de9c9","sha256:0f0b0137fad93542d0942e937dfb9a4ed46586b5073616780df19e4a87077710"],"state_sha256":"50ec640c335bb8db3325bde86a3f61842e85acf7bac32c2814aad883a10b5499"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ifWO0wIdhWEzB0NL84iCS4F4I/NTO9OatYohEDI48ncwgEPkMJ0brzazbp5NBevSY013ZKLOox0OBqkhZkjrCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:54:09.564933Z","bundle_sha256":"a7fe7d46c67cb261d30df15d7b8f50c6d881f720071cf73931268e778589f8ee"}}