{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AYXZBFZETFDMAI2M4B2ASY2GDZ","short_pith_number":"pith:AYXZBFZE","canonical_record":{"source":{"id":"1508.07040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-08-27T21:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"2a96ef7226cd86869f67133c2159dc21949f0889500bb40dfece110d0c8bf07c","abstract_canon_sha256":"3dcaa13b15ea98a045ba01fc8b871d0fe5564f09273c945c1e7301ab8d5ef5d1"},"schema_version":"1.0"},"canonical_sha256":"062f9097249946c0234ce0740963461e4a0eb749be6ccfffc2342d94310feaa7","source":{"kind":"arxiv","id":"1508.07040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07040","created_at":"2026-05-18T01:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07040v1","created_at":"2026-05-18T01:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07040","created_at":"2026-05-18T01:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"AYXZBFZETFDM","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"AYXZBFZETFDMAI2M","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"AYXZBFZE","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AYXZBFZETFDMAI2M4B2ASY2GDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-08-27T21:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"2a96ef7226cd86869f67133c2159dc21949f0889500bb40dfece110d0c8bf07c","abstract_canon_sha256":"3dcaa13b15ea98a045ba01fc8b871d0fe5564f09273c945c1e7301ab8d5ef5d1"},"schema_version":"1.0"},"canonical_sha256":"062f9097249946c0234ce0740963461e4a0eb749be6ccfffc2342d94310feaa7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:37.127936Z","signature_b64":"x5AbIvyTbAL+w+GsnKPuQ9io30QnSq2FrZKSvwQHlkJHaihw/eK54BoWJKi89TxHSYsIVHUtQWBL2OA2k8nMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"062f9097249946c0234ce0740963461e4a0eb749be6ccfffc2342d94310feaa7","last_reissued_at":"2026-05-18T01:34:37.127271Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:37.127271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07040","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":"2026-05-18T01:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bWr4uGzjNp1wylcHFvfKv3++EquL6vEY6BEytm2OoMIbX4f8Z14v+UZaGG0aTzBXgaFcAm+MjpwZMq0nb4oEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:05:45.715502Z"},"content_sha256":"7a7e831f94e2314d9b11fb42b760d77bf0b69057f07cc072999609cd04c9bc3f","schema_version":"1.0","event_id":"sha256:7a7e831f94e2314d9b11fb42b760d77bf0b69057f07cc072999609cd04c9bc3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AYXZBFZETFDMAI2M4B2ASY2GDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Conservative Variational Approximation for Nonlinear Schroedinger Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"J. Rossi, P.G. Kevrekidis, R. Carretero-Gonzalez","submitted_at":"2015-08-27T21:31:11Z","abstract_excerpt":"Recently, Galley [Phys. Rev. Lett. {\\bf 110}, 174301 (2013)] proposed an initial value problem formulation of Hamilton's principle applied to non-conservative systems. Here, we explore this formulation for complex partial differential equations of the nonlinear Schrodinger (NLS) type, examining the dynamics of the coherent solitary wave structures of such models by means of a non-conservative variational approximation (NCVA). We compare the formalism of the NCVA to two other variational techniques used in dissipative systems; namely, the perturbed variational approximation and a generalization"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07040","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":"2026-05-18T01:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rc+4i1QNHnD0Hs+ATIiSQoYeH6nu+/a48CqxNA1Ya88RI/6INt2ILU+SOowU4HAR0hBCKol6kN8bMsFo8cobAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:05:45.715846Z"},"content_sha256":"ef63612a48edfec1fddb44ecd4ae15a9845653fa8ab54d237f40cd1a49820700","schema_version":"1.0","event_id":"sha256:ef63612a48edfec1fddb44ecd4ae15a9845653fa8ab54d237f40cd1a49820700"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ/bundle.json","state_url":"https://pith.science/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ/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":"2026-06-12T10:05:45Z","links":{"resolver":"https://pith.science/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ","bundle":"https://pith.science/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ/bundle.json","state":"https://pith.science/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AYXZBFZETFDMAI2M4B2ASY2GDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AYXZBFZETFDMAI2M4B2ASY2GDZ","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":"3dcaa13b15ea98a045ba01fc8b871d0fe5564f09273c945c1e7301ab8d5ef5d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-08-27T21:31:11Z","title_canon_sha256":"2a96ef7226cd86869f67133c2159dc21949f0889500bb40dfece110d0c8bf07c"},"schema_version":"1.0","source":{"id":"1508.07040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07040","created_at":"2026-05-18T01:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07040v1","created_at":"2026-05-18T01:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07040","created_at":"2026-05-18T01:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"AYXZBFZETFDM","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"AYXZBFZETFDMAI2M","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"AYXZBFZE","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:ef63612a48edfec1fddb44ecd4ae15a9845653fa8ab54d237f40cd1a49820700","target":"graph","created_at":"2026-05-18T01:34:37Z","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":"Recently, Galley [Phys. Rev. Lett. {\\bf 110}, 174301 (2013)] proposed an initial value problem formulation of Hamilton's principle applied to non-conservative systems. Here, we explore this formulation for complex partial differential equations of the nonlinear Schrodinger (NLS) type, examining the dynamics of the coherent solitary wave structures of such models by means of a non-conservative variational approximation (NCVA). We compare the formalism of the NCVA to two other variational techniques used in dissipative systems; namely, the perturbed variational approximation and a generalization","authors_text":"J. Rossi, P.G. Kevrekidis, R. Carretero-Gonzalez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-08-27T21:31:11Z","title":"Non-Conservative Variational Approximation for Nonlinear Schroedinger Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07040","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":"sha256:7a7e831f94e2314d9b11fb42b760d77bf0b69057f07cc072999609cd04c9bc3f","target":"record","created_at":"2026-05-18T01:34:37Z","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":"3dcaa13b15ea98a045ba01fc8b871d0fe5564f09273c945c1e7301ab8d5ef5d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-08-27T21:31:11Z","title_canon_sha256":"2a96ef7226cd86869f67133c2159dc21949f0889500bb40dfece110d0c8bf07c"},"schema_version":"1.0","source":{"id":"1508.07040","kind":"arxiv","version":1}},"canonical_sha256":"062f9097249946c0234ce0740963461e4a0eb749be6ccfffc2342d94310feaa7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"062f9097249946c0234ce0740963461e4a0eb749be6ccfffc2342d94310feaa7","first_computed_at":"2026-05-18T01:34:37.127271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:37.127271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x5AbIvyTbAL+w+GsnKPuQ9io30QnSq2FrZKSvwQHlkJHaihw/eK54BoWJKi89TxHSYsIVHUtQWBL2OA2k8nMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:37.127936Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a7e831f94e2314d9b11fb42b760d77bf0b69057f07cc072999609cd04c9bc3f","sha256:ef63612a48edfec1fddb44ecd4ae15a9845653fa8ab54d237f40cd1a49820700"],"state_sha256":"371c91695e39a6111d1f5256d5a7ce5955fc1bf82423575ceac99d0e8a38e2c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wSPoNsrM8mUNyk36HKVebtY9r+sv5tdKVt5oQTf2sLJQ3NxEoRPQgrRlfjIgn/6oDP874kVAz7kVh9jgET1jBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:05:45.717931Z","bundle_sha256":"aeb00dbc0e9a774cd2e2dfb1bd6dd39c9cf846ba56ccedd27d2e97e62b741d7f"}}