{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MIWWANCWJVP6URIRN26M45BHQX","short_pith_number":"pith:MIWWANCW","canonical_record":{"source":{"id":"1702.06222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-21T00:29:50Z","cross_cats_sorted":[],"title_canon_sha256":"f88c82e3160afca975f5f1ed7a1cc0b8174c8fb97f63b1462749122af9cb37c7","abstract_canon_sha256":"95af1d2082f03e36d572b5b29a8d54873065795dfcb0ab7b526b7f659fffc373"},"schema_version":"1.0"},"canonical_sha256":"622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d","source":{"kind":"arxiv","id":"1702.06222","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06222","created_at":"2026-05-18T00:50:14Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06222v1","created_at":"2026-05-18T00:50:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06222","created_at":"2026-05-18T00:50:14Z"},{"alias_kind":"pith_short_12","alias_value":"MIWWANCWJVP6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MIWWANCWJVP6URIR","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MIWWANCW","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MIWWANCWJVP6URIRN26M45BHQX","target":"record","payload":{"canonical_record":{"source":{"id":"1702.06222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-21T00:29:50Z","cross_cats_sorted":[],"title_canon_sha256":"f88c82e3160afca975f5f1ed7a1cc0b8174c8fb97f63b1462749122af9cb37c7","abstract_canon_sha256":"95af1d2082f03e36d572b5b29a8d54873065795dfcb0ab7b526b7f659fffc373"},"schema_version":"1.0"},"canonical_sha256":"622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:14.694167Z","signature_b64":"0ve5F6sKkGpHTQlsdFhbczt0TloKBQferF5Iv/kMReU7U6b3HzKiM0oqGhOw8Xwb/lrxqOhJchGlaXXAr7O3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d","last_reissued_at":"2026-05-18T00:50:14.693569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:14.693569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.06222","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":"2026-05-18T00:50:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xxljtjjp3zsW8JRkOmr61Te8XmNbg2Likmq27eVrG0UlDm8/mR/zAIB8Io5VIepQ9mdbPWkFq8PB5jCOKBvPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:28:10.144749Z"},"content_sha256":"58ca3d5db51ee033d922e93a79317e909a05691aab37aabf59d731a1b8cc523b","schema_version":"1.0","event_id":"sha256:58ca3d5db51ee033d922e93a79317e909a05691aab37aabf59d731a1b8cc523b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MIWWANCWJVP6URIRN26M45BHQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ademir Pastor, Amin Esfahani","submitted_at":"2017-02-21T00:29:50Z","abstract_excerpt":"In this paper we establish the best constant of an anisotropic Gagliardo-Nirenberg-type inequality related to the Benjamin-Ono-Zakharov-Kuznetsov equation. As an application of our results, we prove the uniform bound of solutions for such a equation in the energy space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06222","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":"2026-05-18T00:50:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQt1QcpV4oZfd+iQ6m8l3/4BikFXDO5MnEkBcGFEd0M09fnJKiUyxfih3Vla2KYFU0gQpQT2nmtWQRXxHJVEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:28:10.145081Z"},"content_sha256":"b80c73cf7a55e9182270b451631f30f7c19ccdda5ab5c34b6772ad87597186a7","schema_version":"1.0","event_id":"sha256:b80c73cf7a55e9182270b451631f30f7c19ccdda5ab5c34b6772ad87597186a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MIWWANCWJVP6URIRN26M45BHQX/bundle.json","state_url":"https://pith.science/pith/MIWWANCWJVP6URIRN26M45BHQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MIWWANCWJVP6URIRN26M45BHQX/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":"2026-06-22T12:28:10Z","links":{"resolver":"https://pith.science/pith/MIWWANCWJVP6URIRN26M45BHQX","bundle":"https://pith.science/pith/MIWWANCWJVP6URIRN26M45BHQX/bundle.json","state":"https://pith.science/pith/MIWWANCWJVP6URIRN26M45BHQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MIWWANCWJVP6URIRN26M45BHQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MIWWANCWJVP6URIRN26M45BHQX","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":"95af1d2082f03e36d572b5b29a8d54873065795dfcb0ab7b526b7f659fffc373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-21T00:29:50Z","title_canon_sha256":"f88c82e3160afca975f5f1ed7a1cc0b8174c8fb97f63b1462749122af9cb37c7"},"schema_version":"1.0","source":{"id":"1702.06222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06222","created_at":"2026-05-18T00:50:14Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06222v1","created_at":"2026-05-18T00:50:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06222","created_at":"2026-05-18T00:50:14Z"},{"alias_kind":"pith_short_12","alias_value":"MIWWANCWJVP6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MIWWANCWJVP6URIR","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MIWWANCW","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:b80c73cf7a55e9182270b451631f30f7c19ccdda5ab5c34b6772ad87597186a7","target":"graph","created_at":"2026-05-18T00:50:14Z","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":"In this paper we establish the best constant of an anisotropic Gagliardo-Nirenberg-type inequality related to the Benjamin-Ono-Zakharov-Kuznetsov equation. As an application of our results, we prove the uniform bound of solutions for such a equation in the energy space.","authors_text":"Ademir Pastor, Amin Esfahani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-21T00:29:50Z","title":"Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06222","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":"sha256:58ca3d5db51ee033d922e93a79317e909a05691aab37aabf59d731a1b8cc523b","target":"record","created_at":"2026-05-18T00:50:14Z","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":"95af1d2082f03e36d572b5b29a8d54873065795dfcb0ab7b526b7f659fffc373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-21T00:29:50Z","title_canon_sha256":"f88c82e3160afca975f5f1ed7a1cc0b8174c8fb97f63b1462749122af9cb37c7"},"schema_version":"1.0","source":{"id":"1702.06222","kind":"arxiv","version":1}},"canonical_sha256":"622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"622d6034564d5fea45116ebcce742785ede41cbad0ea2f4655016dca38f5835d","first_computed_at":"2026-05-18T00:50:14.693569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:14.693569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ve5F6sKkGpHTQlsdFhbczt0TloKBQferF5Iv/kMReU7U6b3HzKiM0oqGhOw8Xwb/lrxqOhJchGlaXXAr7O3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:14.694167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58ca3d5db51ee033d922e93a79317e909a05691aab37aabf59d731a1b8cc523b","sha256:b80c73cf7a55e9182270b451631f30f7c19ccdda5ab5c34b6772ad87597186a7"],"state_sha256":"e38c715aff3ed2a6f0c6bfca7ef3e9b7055fdfc298d7ead4bdd6671c71e7fa62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v1Wy9vflml7NbS1td4lcBhBN0oNQyRhMLaf0YS7Cb2B8NnM0N5obGcV9h/CGwIRMPl1Ci0c28iUDJwtUIurUBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:28:10.147140Z","bundle_sha256":"b3db07b4c55c477ca79d8b66c59470314449b61193839e8ec71812fb897c96a5"}}