{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:V3SGB4IKYVZNZFOLCZHENI3OWD","short_pith_number":"pith:V3SGB4IK","canonical_record":{"source":{"id":"1510.04832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-16T10:39:48Z","cross_cats_sorted":["math-ph","math.MP","physics.ao-ph"],"title_canon_sha256":"2a4361cd4a5babaceb3be09fbcb291b082065f1d2643d99ce06e297a676dac00","abstract_canon_sha256":"ccbc1ec5d9a755bda41dfaaa3852beb9d22295992baf2a7aec9ddbc3459fe9ef"},"schema_version":"1.0"},"canonical_sha256":"aee460f10ac572dc95cb164e46a36eb0e94fe58a999ef2413f454e77c2abb35d","source":{"kind":"arxiv","id":"1510.04832","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04832","created_at":"2026-05-18T01:29:40Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04832v1","created_at":"2026-05-18T01:29:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04832","created_at":"2026-05-18T01:29:40Z"},{"alias_kind":"pith_short_12","alias_value":"V3SGB4IKYVZN","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V3SGB4IKYVZNZFOL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V3SGB4IK","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:V3SGB4IKYVZNZFOLCZHENI3OWD","target":"record","payload":{"canonical_record":{"source":{"id":"1510.04832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-16T10:39:48Z","cross_cats_sorted":["math-ph","math.MP","physics.ao-ph"],"title_canon_sha256":"2a4361cd4a5babaceb3be09fbcb291b082065f1d2643d99ce06e297a676dac00","abstract_canon_sha256":"ccbc1ec5d9a755bda41dfaaa3852beb9d22295992baf2a7aec9ddbc3459fe9ef"},"schema_version":"1.0"},"canonical_sha256":"aee460f10ac572dc95cb164e46a36eb0e94fe58a999ef2413f454e77c2abb35d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:40.131045Z","signature_b64":"5lTlSDRGFsLjZAQukmA3QZHQzntwwuLr3Z+ZwlUrF3k9sgnYgEYlrdy208LPlThoz4NwKJ8phKceXsnyJFHWBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aee460f10ac572dc95cb164e46a36eb0e94fe58a999ef2413f454e77c2abb35d","last_reissued_at":"2026-05-18T01:29:40.130439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:40.130439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.04832","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":"2026-05-18T01:29:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AX11BV6ZBpjEAF89jOAi5WFpqeDrpvjZjW/Ovl+xH5UxhtFnBYwVcJ0bRPTPSIqlB4cXh1XFSvGrV7B4jZ/sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:15:21.683377Z"},"content_sha256":"c4f49ed4039abf334c7032dca0262e2b3aa0b34b075868823e0c950aaaccdad6","schema_version":"1.0","event_id":"sha256:c4f49ed4039abf334c7032dca0262e2b3aa0b34b075868823e0c950aaaccdad6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:V3SGB4IKYVZNZFOLCZHENI3OWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamic Nambu Brackets derived by Geometric Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.ao-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Gualtiero Badin, Richard Blender","submitted_at":"2015-10-16T10:39:48Z","abstract_excerpt":"A geometric approach to derive the Nambu brackets for ideal two-dimensional (2D) hydrodynamics is suggested. The derivation is based on two-forms with vanishing integrals in a periodic domain, and with resulting dynamics constrained by an orthogonality condition. As a result, 2D hydrodynamics with vorticity as dynamic variable emerges as a generic model, with conservation laws which can be interpreted as enstrophy and energy functionals. Generalized forms like surface quasi-geostrophy and fractional Poisson equations for the stream-function are also included as results from the derivation. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04832","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":"2026-05-18T01:29:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CVlY9/3UfdFmq+Bdrq4EJlIRcE8GlVi7prXa9+sNiVTPLPNclym0ppvSFZE1wLrCi3kPinrJ0zjE7fRkwgLvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:15:21.684094Z"},"content_sha256":"1bb7495f742fd45a2bf728eda68b4d2997bb1800bba8ae6b6042f047d8def5ac","schema_version":"1.0","event_id":"sha256:1bb7495f742fd45a2bf728eda68b4d2997bb1800bba8ae6b6042f047d8def5ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3SGB4IKYVZNZFOLCZHENI3OWD/bundle.json","state_url":"https://pith.science/pith/V3SGB4IKYVZNZFOLCZHENI3OWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3SGB4IKYVZNZFOLCZHENI3OWD/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":"2026-05-30T12:15:21Z","links":{"resolver":"https://pith.science/pith/V3SGB4IKYVZNZFOLCZHENI3OWD","bundle":"https://pith.science/pith/V3SGB4IKYVZNZFOLCZHENI3OWD/bundle.json","state":"https://pith.science/pith/V3SGB4IKYVZNZFOLCZHENI3OWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3SGB4IKYVZNZFOLCZHENI3OWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V3SGB4IKYVZNZFOLCZHENI3OWD","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":"ccbc1ec5d9a755bda41dfaaa3852beb9d22295992baf2a7aec9ddbc3459fe9ef","cross_cats_sorted":["math-ph","math.MP","physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-16T10:39:48Z","title_canon_sha256":"2a4361cd4a5babaceb3be09fbcb291b082065f1d2643d99ce06e297a676dac00"},"schema_version":"1.0","source":{"id":"1510.04832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04832","created_at":"2026-05-18T01:29:40Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04832v1","created_at":"2026-05-18T01:29:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04832","created_at":"2026-05-18T01:29:40Z"},{"alias_kind":"pith_short_12","alias_value":"V3SGB4IKYVZN","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V3SGB4IKYVZNZFOL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V3SGB4IK","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:1bb7495f742fd45a2bf728eda68b4d2997bb1800bba8ae6b6042f047d8def5ac","target":"graph","created_at":"2026-05-18T01:29:40Z","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":"A geometric approach to derive the Nambu brackets for ideal two-dimensional (2D) hydrodynamics is suggested. The derivation is based on two-forms with vanishing integrals in a periodic domain, and with resulting dynamics constrained by an orthogonality condition. As a result, 2D hydrodynamics with vorticity as dynamic variable emerges as a generic model, with conservation laws which can be interpreted as enstrophy and energy functionals. Generalized forms like surface quasi-geostrophy and fractional Poisson equations for the stream-function are also included as results from the derivation. The","authors_text":"Gualtiero Badin, Richard Blender","cross_cats":["math-ph","math.MP","physics.ao-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-16T10:39:48Z","title":"Hydrodynamic Nambu Brackets derived by Geometric Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04832","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:c4f49ed4039abf334c7032dca0262e2b3aa0b34b075868823e0c950aaaccdad6","target":"record","created_at":"2026-05-18T01:29:40Z","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":"ccbc1ec5d9a755bda41dfaaa3852beb9d22295992baf2a7aec9ddbc3459fe9ef","cross_cats_sorted":["math-ph","math.MP","physics.ao-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-10-16T10:39:48Z","title_canon_sha256":"2a4361cd4a5babaceb3be09fbcb291b082065f1d2643d99ce06e297a676dac00"},"schema_version":"1.0","source":{"id":"1510.04832","kind":"arxiv","version":1}},"canonical_sha256":"aee460f10ac572dc95cb164e46a36eb0e94fe58a999ef2413f454e77c2abb35d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aee460f10ac572dc95cb164e46a36eb0e94fe58a999ef2413f454e77c2abb35d","first_computed_at":"2026-05-18T01:29:40.130439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:40.130439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5lTlSDRGFsLjZAQukmA3QZHQzntwwuLr3Z+ZwlUrF3k9sgnYgEYlrdy208LPlThoz4NwKJ8phKceXsnyJFHWBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:40.131045Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4f49ed4039abf334c7032dca0262e2b3aa0b34b075868823e0c950aaaccdad6","sha256:1bb7495f742fd45a2bf728eda68b4d2997bb1800bba8ae6b6042f047d8def5ac"],"state_sha256":"98e02943fe904317373edfb49bdda309f6f91396ed0157b3a107c317ae43ba7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FHKp1W7FWKwXJzrfASXF/KnrDAus6UDo5h0xF5xxz7UkZaV0+LnG0oHPxc1h4X7AZ+mfc1HaXAVgI2ElHlXdAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:15:21.687336Z","bundle_sha256":"dcb332cb165856c0b180506f13c0bc460de2d0d9257f224774bbc04b03e4ad56"}}