{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KMDFOZZJ4FUV77M5GFJLDD2W2C","short_pith_number":"pith:KMDFOZZJ","canonical_record":{"source":{"id":"1011.3263","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-11-14T23:09:43Z","cross_cats_sorted":["nlin.PS","physics.acc-ph"],"title_canon_sha256":"14378aeb2cfb7da1181a5ec53e2c612d5c98a2b48ed61e48f0b4d0d694b416b8","abstract_canon_sha256":"2f5c75f0cc98045a45a47fef6a037430a36bad29124ee127fcd1cf84fdca3f2a"},"schema_version":"1.0"},"canonical_sha256":"5306576729e1695ffd9d3152b18f56d091b5c8ea86c25dcd28e420cc2eb2c424","source":{"kind":"arxiv","id":"1011.3263","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3263","created_at":"2026-05-18T02:23:36Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3263v4","created_at":"2026-05-18T02:23:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3263","created_at":"2026-05-18T02:23:36Z"},{"alias_kind":"pith_short_12","alias_value":"KMDFOZZJ4FUV","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KMDFOZZJ4FUV77M5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KMDFOZZJ","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KMDFOZZJ4FUV77M5GFJLDD2W2C","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3263","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-11-14T23:09:43Z","cross_cats_sorted":["nlin.PS","physics.acc-ph"],"title_canon_sha256":"14378aeb2cfb7da1181a5ec53e2c612d5c98a2b48ed61e48f0b4d0d694b416b8","abstract_canon_sha256":"2f5c75f0cc98045a45a47fef6a037430a36bad29124ee127fcd1cf84fdca3f2a"},"schema_version":"1.0"},"canonical_sha256":"5306576729e1695ffd9d3152b18f56d091b5c8ea86c25dcd28e420cc2eb2c424","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:36.758659Z","signature_b64":"Uu9owLfbDqaMAQrUBP9jq1MO51JNRiG2uuau0gzwpEbpAYpyVCNfVY4RyIYAiCRoYYVksHLWI4A1AiAsL1csBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5306576729e1695ffd9d3152b18f56d091b5c8ea86c25dcd28e420cc2eb2c424","last_reissued_at":"2026-05-18T02:23:36.757933Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:36.757933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3263","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W7Zq8WuPb4dMyNk3bGIMR4gGfOS+CEs5GD3FIRMgCeSzlslTdmoqu7R4fOg5e0Y91Di7cvb44Tg+aJTN1YozAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:08:47.545048Z"},"content_sha256":"0ae9e83ff70b59cc3534c12bafb406233cd203c39625de4ab8872df9caab179c","schema_version":"1.0","event_id":"sha256:0ae9e83ff70b59cc3534c12bafb406233cd203c39625de4ab8872df9caab179c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KMDFOZZJ4FUV77M5GFJLDD2W2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Density Waves in the Single-Wave Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","physics.acc-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Kiril B. Marinov, Stephan I. Tzenov","submitted_at":"2010-11-14T23:09:43Z","abstract_excerpt":"The single-wave model equations are transformed to an exact hydrodynamic closure by using a class of solutions to the Vlasov equation corresponding to the waterbag model. The warm fluid dynamic equations are then manipulated by means of the renormalization group method. As a result, amplitude equations for the slowly varying wave amplitudes are derived. Since the characteristic equation for waves has in general three roots, two cases are examined. If all three roots of the characteristic equation are real, the amplitude equations for the eigenmodes represent a system of three coupled nonlinear"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3263","kind":"arxiv","version":4},"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":"2026-05-18T02:23:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YBRUH9yZ1ercL6Y26v1uagkI7jkrOXMcZ23/8/mXz9Z1t+iPu6UkW3Q9b5M1vUdsY5YBLNXxCsXNhTwOP22cDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:08:47.545417Z"},"content_sha256":"0f547d6e63eefadd83b4ed093bae324de480633981516dc8cf7c3cd3a2d9aaa3","schema_version":"1.0","event_id":"sha256:0f547d6e63eefadd83b4ed093bae324de480633981516dc8cf7c3cd3a2d9aaa3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C/bundle.json","state_url":"https://pith.science/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C/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":"2026-06-03T16:08:47Z","links":{"resolver":"https://pith.science/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C","bundle":"https://pith.science/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C/bundle.json","state":"https://pith.science/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KMDFOZZJ4FUV77M5GFJLDD2W2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KMDFOZZJ4FUV77M5GFJLDD2W2C","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":"2f5c75f0cc98045a45a47fef6a037430a36bad29124ee127fcd1cf84fdca3f2a","cross_cats_sorted":["nlin.PS","physics.acc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-11-14T23:09:43Z","title_canon_sha256":"14378aeb2cfb7da1181a5ec53e2c612d5c98a2b48ed61e48f0b4d0d694b416b8"},"schema_version":"1.0","source":{"id":"1011.3263","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3263","created_at":"2026-05-18T02:23:36Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3263v4","created_at":"2026-05-18T02:23:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3263","created_at":"2026-05-18T02:23:36Z"},{"alias_kind":"pith_short_12","alias_value":"KMDFOZZJ4FUV","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KMDFOZZJ4FUV77M5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KMDFOZZJ","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:0f547d6e63eefadd83b4ed093bae324de480633981516dc8cf7c3cd3a2d9aaa3","target":"graph","created_at":"2026-05-18T02:23:36Z","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":"The single-wave model equations are transformed to an exact hydrodynamic closure by using a class of solutions to the Vlasov equation corresponding to the waterbag model. The warm fluid dynamic equations are then manipulated by means of the renormalization group method. As a result, amplitude equations for the slowly varying wave amplitudes are derived. Since the characteristic equation for waves has in general three roots, two cases are examined. If all three roots of the characteristic equation are real, the amplitude equations for the eigenmodes represent a system of three coupled nonlinear","authors_text":"Kiril B. Marinov, Stephan I. Tzenov","cross_cats":["nlin.PS","physics.acc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-11-14T23:09:43Z","title":"Nonlinear Density Waves in the Single-Wave Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3263","kind":"arxiv","version":4},"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":"sha256:0ae9e83ff70b59cc3534c12bafb406233cd203c39625de4ab8872df9caab179c","target":"record","created_at":"2026-05-18T02:23:36Z","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":"2f5c75f0cc98045a45a47fef6a037430a36bad29124ee127fcd1cf84fdca3f2a","cross_cats_sorted":["nlin.PS","physics.acc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2010-11-14T23:09:43Z","title_canon_sha256":"14378aeb2cfb7da1181a5ec53e2c612d5c98a2b48ed61e48f0b4d0d694b416b8"},"schema_version":"1.0","source":{"id":"1011.3263","kind":"arxiv","version":4}},"canonical_sha256":"5306576729e1695ffd9d3152b18f56d091b5c8ea86c25dcd28e420cc2eb2c424","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5306576729e1695ffd9d3152b18f56d091b5c8ea86c25dcd28e420cc2eb2c424","first_computed_at":"2026-05-18T02:23:36.757933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:36.757933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uu9owLfbDqaMAQrUBP9jq1MO51JNRiG2uuau0gzwpEbpAYpyVCNfVY4RyIYAiCRoYYVksHLWI4A1AiAsL1csBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:36.758659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3263","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ae9e83ff70b59cc3534c12bafb406233cd203c39625de4ab8872df9caab179c","sha256:0f547d6e63eefadd83b4ed093bae324de480633981516dc8cf7c3cd3a2d9aaa3"],"state_sha256":"d3f95554d2c56dbcedafeaf3fc446baab99043dbb902deda9fa0dd468fe73590"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WwujIFtRLh12054riTUNO6OFlFd1SHvgsuc0z2vZtG0I1eqAu8uDRcO8W8JeBQSb7JBGMvxlIAKZLLXh6BJwBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:08:47.547392Z","bundle_sha256":"958f321b168bd1befeaa11a35579784a3166cf595c3f53a8f69fa086805d4037"}}