{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2YXOYETNGNSFBGZ7NEDVEBFYFA","short_pith_number":"pith:2YXOYETN","canonical_record":{"source":{"id":"1310.4543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-10-16T22:56:21Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"da6b0f7b6b57a7d5ad4a276bffb7431fb9e533927c3bd55c5c20f0f59ab06bf3","abstract_canon_sha256":"e83c82d1e64cf29fe693c831b5f5b4c3fe830d4589e07206e687f61750a7ab0d"},"schema_version":"1.0"},"canonical_sha256":"d62eec126d3364509b3f69075204b82819e91feaa0670e7436bf8e85f99ee0f1","source":{"kind":"arxiv","id":"1310.4543","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4543","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4543v2","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4543","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"2YXOYETNGNSF","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2YXOYETNGNSFBGZ7","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2YXOYETN","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2YXOYETNGNSFBGZ7NEDVEBFYFA","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-10-16T22:56:21Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"da6b0f7b6b57a7d5ad4a276bffb7431fb9e533927c3bd55c5c20f0f59ab06bf3","abstract_canon_sha256":"e83c82d1e64cf29fe693c831b5f5b4c3fe830d4589e07206e687f61750a7ab0d"},"schema_version":"1.0"},"canonical_sha256":"d62eec126d3364509b3f69075204b82819e91feaa0670e7436bf8e85f99ee0f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:46.169458Z","signature_b64":"0cfjvEBj2tGa6RjZkdCJ/cqvOVSwJBWD//JVOvefedy40BikjHml5nzZj6bZRDmRf5oiJKDS7zOKrd8C3HthDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d62eec126d3364509b3f69075204b82819e91feaa0670e7436bf8e85f99ee0f1","last_reissued_at":"2026-05-18T00:02:46.168964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:46.168964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4543","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RyDIBBI52e8Ui0MEo476N8+JI0e0W6aaC/GZpmQG44oH1N8Hn0OqUnLUjdrLUrtzXm6dVFNP+3h391xhX8atDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:15:08.337147Z"},"content_sha256":"6bfede13c07cd791dfce2e369bf1a86a0a976a95b1392c31bb66c5ec2acdb164","schema_version":"1.0","event_id":"sha256:6bfede13c07cd791dfce2e369bf1a86a0a976a95b1392c31bb66c5ec2acdb164"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2YXOYETNGNSFBGZ7NEDVEBFYFA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Selective decay in fluids with advected quantities: MHD and Hall MHD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"physics.plasm-ph","authors_text":"Darryl D. Holm, Fran\\c{c}ois Gay-Balmaz","submitted_at":"2013-10-16T22:56:21Z","abstract_excerpt":"Modifications of the equations of ideal fluid dynamics with advected quantities are introduced that allow selective decay of either the energy $h$ or the Casimir quantities $C$ in the Lie-Poisson formulation. The dissipated quantity (energy or Casimir, respectively) is shown to decrease in time until the modified system reaches an equilibrium state consistent with ideal energy-Casimir equilibria, namely $\\delta(h+C)=0$. The result holds for Lie-Poisson equations in general, independently of the Lie algebra and the choice of Casimir. This selective decay process is illustrated with a number of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4543","kind":"arxiv","version":2},"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":"2026-05-18T00:02:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8cl22M8vGmgPQXL1GCHvmqQQTBeBxe4sedGHuFJyDaNrTOQCz4VbGrYBFZe9BDF1ki9/0HVnRDi16gZ4HPIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:15:08.337528Z"},"content_sha256":"0331b497bbe3f9cad689a27dc6da25d5013113cab30ef58afc46a7a7ec432813","schema_version":"1.0","event_id":"sha256:0331b497bbe3f9cad689a27dc6da25d5013113cab30ef58afc46a7a7ec432813"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA/bundle.json","state_url":"https://pith.science/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA/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":"2026-06-05T05:15:08Z","links":{"resolver":"https://pith.science/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA","bundle":"https://pith.science/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA/bundle.json","state":"https://pith.science/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YXOYETNGNSFBGZ7NEDVEBFYFA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2YXOYETNGNSFBGZ7NEDVEBFYFA","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":"e83c82d1e64cf29fe693c831b5f5b4c3fe830d4589e07206e687f61750a7ab0d","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-10-16T22:56:21Z","title_canon_sha256":"da6b0f7b6b57a7d5ad4a276bffb7431fb9e533927c3bd55c5c20f0f59ab06bf3"},"schema_version":"1.0","source":{"id":"1310.4543","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4543","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4543v2","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4543","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"2YXOYETNGNSF","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2YXOYETNGNSFBGZ7","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2YXOYETN","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:0331b497bbe3f9cad689a27dc6da25d5013113cab30ef58afc46a7a7ec432813","target":"graph","created_at":"2026-05-18T00:02:46Z","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":"Modifications of the equations of ideal fluid dynamics with advected quantities are introduced that allow selective decay of either the energy $h$ or the Casimir quantities $C$ in the Lie-Poisson formulation. The dissipated quantity (energy or Casimir, respectively) is shown to decrease in time until the modified system reaches an equilibrium state consistent with ideal energy-Casimir equilibria, namely $\\delta(h+C)=0$. The result holds for Lie-Poisson equations in general, independently of the Lie algebra and the choice of Casimir. This selective decay process is illustrated with a number of ","authors_text":"Darryl D. Holm, Fran\\c{c}ois Gay-Balmaz","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-10-16T22:56:21Z","title":"Selective decay in fluids with advected quantities: MHD and Hall MHD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4543","kind":"arxiv","version":2},"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":"sha256:6bfede13c07cd791dfce2e369bf1a86a0a976a95b1392c31bb66c5ec2acdb164","target":"record","created_at":"2026-05-18T00:02:46Z","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":"e83c82d1e64cf29fe693c831b5f5b4c3fe830d4589e07206e687f61750a7ab0d","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2013-10-16T22:56:21Z","title_canon_sha256":"da6b0f7b6b57a7d5ad4a276bffb7431fb9e533927c3bd55c5c20f0f59ab06bf3"},"schema_version":"1.0","source":{"id":"1310.4543","kind":"arxiv","version":2}},"canonical_sha256":"d62eec126d3364509b3f69075204b82819e91feaa0670e7436bf8e85f99ee0f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d62eec126d3364509b3f69075204b82819e91feaa0670e7436bf8e85f99ee0f1","first_computed_at":"2026-05-18T00:02:46.168964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:46.168964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0cfjvEBj2tGa6RjZkdCJ/cqvOVSwJBWD//JVOvefedy40BikjHml5nzZj6bZRDmRf5oiJKDS7zOKrd8C3HthDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:46.169458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4543","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bfede13c07cd791dfce2e369bf1a86a0a976a95b1392c31bb66c5ec2acdb164","sha256:0331b497bbe3f9cad689a27dc6da25d5013113cab30ef58afc46a7a7ec432813"],"state_sha256":"21a7c24acb4d5c4b94bf48acdca05773ee064ccf8fff00bb76bb5c393c30bd8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q8Fb1hK+Eqqfnz6jISqWfqqmlcVw7MpnalXBq6YwvtCF6XNm/UWZXilQJqkLjTTy3E3ri/1azreJijc6ZNddAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:15:08.339811Z","bundle_sha256":"da745a23922e5e4c5aaa95f749aeb836b45cc2b13e6aca056f959e62df15d76e"}}