{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6LU6PX7EHQY3FARY7SFMFMUTY4","short_pith_number":"pith:6LU6PX7E","canonical_record":{"source":{"id":"1505.05950","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-22T04:54:38Z","cross_cats_sorted":["math.DS","math.SG"],"title_canon_sha256":"5c9e27d251f51e572db7f4904d830dceec98913da5418808601d7968cac59f52","abstract_canon_sha256":"c605a12079f8080cd9a5240888bbc0f440305357e05c930f26f0008ec7580b75"},"schema_version":"1.0"},"canonical_sha256":"f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90","source":{"kind":"arxiv","id":"1505.05950","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05950","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05950v5","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05950","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"6LU6PX7EHQY3","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6LU6PX7EHQY3FARY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6LU6PX7E","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6LU6PX7EHQY3FARY7SFMFMUTY4","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05950","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-22T04:54:38Z","cross_cats_sorted":["math.DS","math.SG"],"title_canon_sha256":"5c9e27d251f51e572db7f4904d830dceec98913da5418808601d7968cac59f52","abstract_canon_sha256":"c605a12079f8080cd9a5240888bbc0f440305357e05c930f26f0008ec7580b75"},"schema_version":"1.0"},"canonical_sha256":"f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:46.095176Z","signature_b64":"TiWAVk8pqOX2jeUKXUFTqtsvXdA/CjCqZh+Lh8wQJD0xtWQD8UIAWpHHzRFSE/DpGB3csto8Effct6drdsBBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90","last_reissued_at":"2026-05-18T00:02:46.094784Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:46.094784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05950","source_version":5,"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":"P/dG39wMWyACfOLItcYjw6L0eXOgP7LOVo74xS5+jpQKDt2MpNngW3nW3AzuhApCUjzlNg33Et1i0tqpwIQ+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:55:54.579157Z"},"content_sha256":"53bc47f0bb2bd428afbcaf1e6fbcd828e2a5429e2306b51e5993ed937fc98bf6","schema_version":"1.0","event_id":"sha256:53bc47f0bb2bd428afbcaf1e6fbcd828e2a5429e2306b51e5993ed937fc98bf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6LU6PX7EHQY3FARY7SFMFMUTY4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multipole Vortex Blob (MVB): Symplectic Geometry and Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.SG"],"primary_cat":"physics.flu-dyn","authors_text":"Darryl D. Holm, Henry O. Jacobs","submitted_at":"2015-05-22T04:54:38Z","abstract_excerpt":"Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article we observe that the dynamics need not be trivial if one is willing to consider distributional derivatives of Dirac delta functionals as valid vorticity distributions. More specifically, a new singular vortex theory is presented for regularized Euler fluid equations of ideal incompressible flow in the plane. We determine the conditions under which such regularized Euler fluid equations may admit vorticity singularities which are stronger than"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05950","kind":"arxiv","version":5},"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":"KYpJwpGvcAg8IsN8Cr5gd76oKaXxr2e27yCAY2/X7DSnKpAx4GmKrvApJ+7MyWnDFzZaRddT9uhsTu0f4Q7RAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:55:54.579552Z"},"content_sha256":"a22d07abc0d73fa3f007afc241f8bd20a1853de08b53aeaa39e0871d1a5ba2b0","schema_version":"1.0","event_id":"sha256:a22d07abc0d73fa3f007afc241f8bd20a1853de08b53aeaa39e0871d1a5ba2b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6LU6PX7EHQY3FARY7SFMFMUTY4/bundle.json","state_url":"https://pith.science/pith/6LU6PX7EHQY3FARY7SFMFMUTY4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6LU6PX7EHQY3FARY7SFMFMUTY4/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":"2026-05-28T16:55:54Z","links":{"resolver":"https://pith.science/pith/6LU6PX7EHQY3FARY7SFMFMUTY4","bundle":"https://pith.science/pith/6LU6PX7EHQY3FARY7SFMFMUTY4/bundle.json","state":"https://pith.science/pith/6LU6PX7EHQY3FARY7SFMFMUTY4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6LU6PX7EHQY3FARY7SFMFMUTY4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6LU6PX7EHQY3FARY7SFMFMUTY4","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":"c605a12079f8080cd9a5240888bbc0f440305357e05c930f26f0008ec7580b75","cross_cats_sorted":["math.DS","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-22T04:54:38Z","title_canon_sha256":"5c9e27d251f51e572db7f4904d830dceec98913da5418808601d7968cac59f52"},"schema_version":"1.0","source":{"id":"1505.05950","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05950","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05950v5","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05950","created_at":"2026-05-18T00:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"6LU6PX7EHQY3","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6LU6PX7EHQY3FARY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6LU6PX7E","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:a22d07abc0d73fa3f007afc241f8bd20a1853de08b53aeaa39e0871d1a5ba2b0","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":"Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article we observe that the dynamics need not be trivial if one is willing to consider distributional derivatives of Dirac delta functionals as valid vorticity distributions. More specifically, a new singular vortex theory is presented for regularized Euler fluid equations of ideal incompressible flow in the plane. We determine the conditions under which such regularized Euler fluid equations may admit vorticity singularities which are stronger than","authors_text":"Darryl D. Holm, Henry O. Jacobs","cross_cats":["math.DS","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-22T04:54:38Z","title":"Multipole Vortex Blob (MVB): Symplectic Geometry and Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05950","kind":"arxiv","version":5},"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":"sha256:53bc47f0bb2bd428afbcaf1e6fbcd828e2a5429e2306b51e5993ed937fc98bf6","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":"c605a12079f8080cd9a5240888bbc0f440305357e05c930f26f0008ec7580b75","cross_cats_sorted":["math.DS","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-22T04:54:38Z","title_canon_sha256":"5c9e27d251f51e572db7f4904d830dceec98913da5418808601d7968cac59f52"},"schema_version":"1.0","source":{"id":"1505.05950","kind":"arxiv","version":5}},"canonical_sha256":"f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2e9e7dfe43c31b28238fc8ac2b293c710f50165b3fa7439b2513ccd9bea0f90","first_computed_at":"2026-05-18T00:02:46.094784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:46.094784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TiWAVk8pqOX2jeUKXUFTqtsvXdA/CjCqZh+Lh8wQJD0xtWQD8UIAWpHHzRFSE/DpGB3csto8Effct6drdsBBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:46.095176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05950","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53bc47f0bb2bd428afbcaf1e6fbcd828e2a5429e2306b51e5993ed937fc98bf6","sha256:a22d07abc0d73fa3f007afc241f8bd20a1853de08b53aeaa39e0871d1a5ba2b0"],"state_sha256":"38e98f82206079bf41153dad2a765c9201e30028dcd56d05a76a7fce6bdedc0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wkzZ40vK8GxxZ+5vZcMseVaygEoYtjujj5cJGaTzoA7Uv0ts1ZW3sSPx0IOtMVN8bDMSiO0Nuwh8m0ANfC1CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T16:55:54.582524Z","bundle_sha256":"2cafce66a12affb5d67ecab26c04e1b670d6b247876a82b9573a756676c3bce7"}}