{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QM6MXQ65B3VUFB5NWOYFEOLMYC","short_pith_number":"pith:QM6MXQ65","canonical_record":{"source":{"id":"1405.0995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-05T19:10:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f7fa8c52a5e08b68206ceed3200fee8ba574546a69b91d922c2c4611d8798867","abstract_canon_sha256":"20cae7899bf15ff63fb64f75d662f194ed81c25796f4d30d18f5f867bbe91c7a"},"schema_version":"1.0"},"canonical_sha256":"833ccbc3dd0eeb4287adb3b052396cc08accd459ef6d7dcd77b3a5a3c126235d","source":{"kind":"arxiv","id":"1405.0995","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0995","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0995v1","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0995","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"pith_short_12","alias_value":"QM6MXQ65B3VU","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"pith_short_16","alias_value":"QM6MXQ65B3VUFB5N","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"pith_short_8","alias_value":"QM6MXQ65","created_at":"2026-07-05T01:59:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QM6MXQ65B3VUFB5NWOYFEOLMYC","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-05T19:10:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f7fa8c52a5e08b68206ceed3200fee8ba574546a69b91d922c2c4611d8798867","abstract_canon_sha256":"20cae7899bf15ff63fb64f75d662f194ed81c25796f4d30d18f5f867bbe91c7a"},"schema_version":"1.0"},"canonical_sha256":"833ccbc3dd0eeb4287adb3b052396cc08accd459ef6d7dcd77b3a5a3c126235d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:59:24.691164Z","signature_b64":"7RYt3EqhPxOK9p/EMCuA7znNE/K6usnniefXN7XRC2trOEhbKWRR3SbTmEMEvoPylxsDSOqjsJANnurp3gbcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"833ccbc3dd0eeb4287adb3b052396cc08accd459ef6d7dcd77b3a5a3c126235d","last_reissued_at":"2026-07-05T01:59:24.690608Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:59:24.690608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0995","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":"2026-07-05T01:59:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J3zOevZnp9lP7k6vhxr5mt6GlsOQoGc2EyHfzelmt0lyLyrk589llECKGnY1L7EOF2aSsTgbIm2OsYpd25khDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:24:22.004707Z"},"content_sha256":"628317775b26fe0c192ece5b8fed8a444ad326afeb89567e333e1e98298dd238","schema_version":"1.0","event_id":"sha256:628317775b26fe0c192ece5b8fed8a444ad326afeb89567e333e1e98298dd238"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QM6MXQ65B3VUFB5NWOYFEOLMYC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite time extinction for nonlinear Schrodinger equation in 1D and 2D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"R\\'emi Carles (I3M), Tohru Ozawa","submitted_at":"2014-05-05T19:10:08Z","abstract_excerpt":"We consider a nonlinear Schrodinger equation with power nonlinearity, either on a compact manifold without boundary, or on the whole space in the presence of harmonic confinement, in space dimension one and two. Up to introducing an extra superlinear damping to prevent finite time blow up, we show that the presence of a sublinear damping always leads to finite time extinction of the solution in 1D, and that the same phenomenon is present in the case of small mass initial data in 2D."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0995","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1405.0995/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:59:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"acYmHjV3RtvKTEwiAolqjfGAPBSwSp2DIy5Gar7lV2QI4rSF5rEatGJKcaCvPNUHXSc0S3DdKbpoHZSLHnyTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:24:22.005104Z"},"content_sha256":"b2343715b0c62cf4100b69a8246f1d9df6292a943077b086a2926ceb42fb0caa","schema_version":"1.0","event_id":"sha256:b2343715b0c62cf4100b69a8246f1d9df6292a943077b086a2926ceb42fb0caa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC/bundle.json","state_url":"https://pith.science/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC/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":"2026-07-07T10:24:22Z","links":{"resolver":"https://pith.science/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC","bundle":"https://pith.science/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC/bundle.json","state":"https://pith.science/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QM6MXQ65B3VUFB5NWOYFEOLMYC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QM6MXQ65B3VUFB5NWOYFEOLMYC","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":"20cae7899bf15ff63fb64f75d662f194ed81c25796f4d30d18f5f867bbe91c7a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-05T19:10:08Z","title_canon_sha256":"f7fa8c52a5e08b68206ceed3200fee8ba574546a69b91d922c2c4611d8798867"},"schema_version":"1.0","source":{"id":"1405.0995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0995","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0995v1","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0995","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"pith_short_12","alias_value":"QM6MXQ65B3VU","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"pith_short_16","alias_value":"QM6MXQ65B3VUFB5N","created_at":"2026-07-05T01:59:24Z"},{"alias_kind":"pith_short_8","alias_value":"QM6MXQ65","created_at":"2026-07-05T01:59:24Z"}],"graph_snapshots":[{"event_id":"sha256:b2343715b0c62cf4100b69a8246f1d9df6292a943077b086a2926ceb42fb0caa","target":"graph","created_at":"2026-07-05T01:59:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1405.0995/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a nonlinear Schrodinger equation with power nonlinearity, either on a compact manifold without boundary, or on the whole space in the presence of harmonic confinement, in space dimension one and two. Up to introducing an extra superlinear damping to prevent finite time blow up, we show that the presence of a sublinear damping always leads to finite time extinction of the solution in 1D, and that the same phenomenon is present in the case of small mass initial data in 2D.","authors_text":"R\\'emi Carles (I3M), Tohru Ozawa","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-05T19:10:08Z","title":"Finite time extinction for nonlinear Schrodinger equation in 1D and 2D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0995","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":"sha256:628317775b26fe0c192ece5b8fed8a444ad326afeb89567e333e1e98298dd238","target":"record","created_at":"2026-07-05T01:59:24Z","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":"20cae7899bf15ff63fb64f75d662f194ed81c25796f4d30d18f5f867bbe91c7a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-05T19:10:08Z","title_canon_sha256":"f7fa8c52a5e08b68206ceed3200fee8ba574546a69b91d922c2c4611d8798867"},"schema_version":"1.0","source":{"id":"1405.0995","kind":"arxiv","version":1}},"canonical_sha256":"833ccbc3dd0eeb4287adb3b052396cc08accd459ef6d7dcd77b3a5a3c126235d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"833ccbc3dd0eeb4287adb3b052396cc08accd459ef6d7dcd77b3a5a3c126235d","first_computed_at":"2026-07-05T01:59:24.690608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:24.690608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7RYt3EqhPxOK9p/EMCuA7znNE/K6usnniefXN7XRC2trOEhbKWRR3SbTmEMEvoPylxsDSOqjsJANnurp3gbcAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:24.691164Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:628317775b26fe0c192ece5b8fed8a444ad326afeb89567e333e1e98298dd238","sha256:b2343715b0c62cf4100b69a8246f1d9df6292a943077b086a2926ceb42fb0caa"],"state_sha256":"62cefc3f4a1d82652c764d93b664e3ce1f28492a0487fb77c168c5b0e4364713"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cB2ShZc223KAw9i/jTF2YdLJWrcgvAChNc3M+AvjWk7nkOAD/Mq86EwVYhSSYwZD0vyAjEa00U98+S4oEc7lAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:24:22.007084Z","bundle_sha256":"27b52191ba04ef1f1801ddafa261d4eb474383d1f1351a330fe3cfee666cdaef"}}