{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3PWQQHVBFKFOABZ7FMTQ7G4PUK","short_pith_number":"pith:3PWQQHVB","canonical_record":{"source":{"id":"1206.2607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T17:57:14Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"bb037f50f2d97700da27057adee7ddcd37054bee676615d879028c2e14380e85","abstract_canon_sha256":"2cc2cf0154dec30c76fb57b0883c992cad8ff6ee87328a2c355178b221115962"},"schema_version":"1.0"},"canonical_sha256":"dbed081ea12a8ae0073f2b270f9b8fa2871ec66a59fd561ca14c38c547a4ce34","source":{"kind":"arxiv","id":"1206.2607","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2607","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2607v2","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2607","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"3PWQQHVBFKFO","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3PWQQHVBFKFOABZ7","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3PWQQHVB","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3PWQQHVBFKFOABZ7FMTQ7G4PUK","target":"record","payload":{"canonical_record":{"source":{"id":"1206.2607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T17:57:14Z","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"bb037f50f2d97700da27057adee7ddcd37054bee676615d879028c2e14380e85","abstract_canon_sha256":"2cc2cf0154dec30c76fb57b0883c992cad8ff6ee87328a2c355178b221115962"},"schema_version":"1.0"},"canonical_sha256":"dbed081ea12a8ae0073f2b270f9b8fa2871ec66a59fd561ca14c38c547a4ce34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:02.522530Z","signature_b64":"aG+aVAm6w1BnEU+zZ6/9/fhe+cFHsYO+HX4EALEXtu1eLCQzYXhjcHWhkbOsnlK8gBJ/cmT7GCvPuRFkVEGDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbed081ea12a8ae0073f2b270f9b8fa2871ec66a59fd561ca14c38c547a4ce34","last_reissued_at":"2026-05-18T00:02:02.521864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:02.521864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.2607","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":"2026-05-18T00:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eQAE0ki2vUFLTeeKN/RfTHsyaEKuajFgt8MCfH95pnyfw4RmsUoaOp7NmZwQ58yndhMm4eIa25Q9ll50NOM6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T07:11:36.632235Z"},"content_sha256":"879cd6ec58ae6fe3bba98418abd99627e4b41433cc1508070e3d5fc8d5b3a4f2","schema_version":"1.0","event_id":"sha256:879cd6ec58ae6fe3bba98418abd99627e4b41433cc1508070e3d5fc8d5b3a4f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3PWQQHVBFKFOABZ7FMTQ7G4PUK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Selective decay by Casimir dissipation in fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"D. D. Holm, F.Gay-Balmaz","submitted_at":"2012-06-12T17:57:14Z","abstract_excerpt":"The problem of parameterizing the interactions of larger scales and smaller scales in fluid flows is addressed by considering a property of two-dimensional incompressible turbulence. The property we consider is selective decay, in which a Casimir of the ideal formulation (enstrophy in 2D flows, helicity in 3D flows) decays in time, while the energy stays essentially constant. This paper introduces a mechanism that produces selective decay by enforcing Casimir dissipation in fluid dynamics. This mechanism turns out to be related in certain cases to the numerical method of anticipated vorticity "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2607","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":"2026-05-18T00:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eUXIG+QItt0+ZjUCZd9SH8ACgJHc3oEriG+a674cUbPUXZ0tvhFEigMrde12f0zbUxhCUNVknNm6ziN41sqWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T07:11:36.632836Z"},"content_sha256":"bcfabeda204b2284af0d40845b63cdc9f2be58b78b4a23df9e2e38f592b33f96","schema_version":"1.0","event_id":"sha256:bcfabeda204b2284af0d40845b63cdc9f2be58b78b4a23df9e2e38f592b33f96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK/bundle.json","state_url":"https://pith.science/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK/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":"2026-05-24T07:11:36Z","links":{"resolver":"https://pith.science/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK","bundle":"https://pith.science/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK/bundle.json","state":"https://pith.science/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PWQQHVBFKFOABZ7FMTQ7G4PUK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3PWQQHVBFKFOABZ7FMTQ7G4PUK","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":"2cc2cf0154dec30c76fb57b0883c992cad8ff6ee87328a2c355178b221115962","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T17:57:14Z","title_canon_sha256":"bb037f50f2d97700da27057adee7ddcd37054bee676615d879028c2e14380e85"},"schema_version":"1.0","source":{"id":"1206.2607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2607","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2607v2","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2607","created_at":"2026-05-18T00:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"3PWQQHVBFKFO","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3PWQQHVBFKFOABZ7","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3PWQQHVB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:bcfabeda204b2284af0d40845b63cdc9f2be58b78b4a23df9e2e38f592b33f96","target":"graph","created_at":"2026-05-18T00:02:02Z","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 problem of parameterizing the interactions of larger scales and smaller scales in fluid flows is addressed by considering a property of two-dimensional incompressible turbulence. The property we consider is selective decay, in which a Casimir of the ideal formulation (enstrophy in 2D flows, helicity in 3D flows) decays in time, while the energy stays essentially constant. This paper introduces a mechanism that produces selective decay by enforcing Casimir dissipation in fluid dynamics. This mechanism turns out to be related in certain cases to the numerical method of anticipated vorticity ","authors_text":"D. D. Holm, F.Gay-Balmaz","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T17:57:14Z","title":"Selective decay by Casimir dissipation in fluids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2607","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":"sha256:879cd6ec58ae6fe3bba98418abd99627e4b41433cc1508070e3d5fc8d5b3a4f2","target":"record","created_at":"2026-05-18T00:02:02Z","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":"2cc2cf0154dec30c76fb57b0883c992cad8ff6ee87328a2c355178b221115962","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T17:57:14Z","title_canon_sha256":"bb037f50f2d97700da27057adee7ddcd37054bee676615d879028c2e14380e85"},"schema_version":"1.0","source":{"id":"1206.2607","kind":"arxiv","version":2}},"canonical_sha256":"dbed081ea12a8ae0073f2b270f9b8fa2871ec66a59fd561ca14c38c547a4ce34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbed081ea12a8ae0073f2b270f9b8fa2871ec66a59fd561ca14c38c547a4ce34","first_computed_at":"2026-05-18T00:02:02.521864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:02.521864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aG+aVAm6w1BnEU+zZ6/9/fhe+cFHsYO+HX4EALEXtu1eLCQzYXhjcHWhkbOsnlK8gBJ/cmT7GCvPuRFkVEGDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:02.522530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:879cd6ec58ae6fe3bba98418abd99627e4b41433cc1508070e3d5fc8d5b3a4f2","sha256:bcfabeda204b2284af0d40845b63cdc9f2be58b78b4a23df9e2e38f592b33f96"],"state_sha256":"9ced6dcfcaf92e8bd390f6c67b2288d9b4830ccf067c1132226f8a68526b3fef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NqkmoDKych6iatAGRHoo7Tfc46xZ1G9/L+rBmspHU2JbN4MOLEAtrSWRvLZZNu2rxYYIcQP10UOiPc4lWEDcBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T07:11:36.635791Z","bundle_sha256":"0403c4047eb958f789aa31a0187a045933ac3ded120c78158b50c532586b6efd"}}