{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:G2LQ36ZQ5K7NDNFER63EZ3VJVS","short_pith_number":"pith:G2LQ36ZQ","canonical_record":{"source":{"id":"1212.1106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-05T17:23:06Z","cross_cats_sorted":["math.AP","physics.flu-dyn"],"title_canon_sha256":"01b4bfbaf0f2d288093eb87bc872d5e35658149db526fcac2adaa275221d1ff4","abstract_canon_sha256":"8b79763365749e1155b6cfc9254ac554ffae206e07d51175492f9c64275367f2"},"schema_version":"1.0"},"canonical_sha256":"36970dfb30eabed1b4a48fb64ceea9acb3af9418da010db92efb358eac1524ed","source":{"kind":"arxiv","id":"1212.1106","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1106","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1106v1","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1106","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"G2LQ36ZQ5K7N","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"G2LQ36ZQ5K7NDNFE","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"G2LQ36ZQ","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:G2LQ36ZQ5K7NDNFER63EZ3VJVS","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1106","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-05T17:23:06Z","cross_cats_sorted":["math.AP","physics.flu-dyn"],"title_canon_sha256":"01b4bfbaf0f2d288093eb87bc872d5e35658149db526fcac2adaa275221d1ff4","abstract_canon_sha256":"8b79763365749e1155b6cfc9254ac554ffae206e07d51175492f9c64275367f2"},"schema_version":"1.0"},"canonical_sha256":"36970dfb30eabed1b4a48fb64ceea9acb3af9418da010db92efb358eac1524ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:05.833573Z","signature_b64":"N8ksYS48uKZApPQ3e3GSzMglTH5IccHRgeBX0zrzyLEP4pkTgsaGBhwVKIoM5dhJoNs9/67MUs6eHy84QgGaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36970dfb30eabed1b4a48fb64ceea9acb3af9418da010db92efb358eac1524ed","last_reissued_at":"2026-05-18T03:39:05.832973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:05.832973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1106","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":"2026-05-18T03:39:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cUMxq4AksDodPTlNrYEejZlwaUByCDTPDxjL5IszJee8ahW9vyfOWUCmH6ye9B/pPG804QFtIWwFYPrxJyyqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:37:38.109977Z"},"content_sha256":"199423445b0e09a86d25f3fb9e79fa40da1eb2744b2ad2550c5d34db4ce68e2a","schema_version":"1.0","event_id":"sha256:199423445b0e09a86d25f3fb9e79fa40da1eb2744b2ad2550c5d34db4ce68e2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:G2LQ36ZQ5K7NDNFER63EZ3VJVS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounds on a singular attractor in Euler using vorticity moments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Robert M. Kerr","submitted_at":"2012-12-05T17:23:06Z","abstract_excerpt":"A new rescaling of the vorticity moments and their growth terms is used to characterise the evolution of anti-parallel vortices governed by the 3D Euler equations. To suppress unphysical instabilities, the initial condition uses a balanced profile for the initial magnitude of vorticity along with a new algorithm for the initial vorticity direction. The new analysis uses a new adaptation to the Euler equations of a rescaling of the vorticity moments developed for Navier-Stokes analysis. All rescaled moments grow in time, with the lower-order moments bounding the higher-order moments from above,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1106","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":"2026-05-18T03:39:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iCLN6V1I71xXc1EMZZ5CeMQ7UUz2s3xs3vr7JlqDrtuLileoPxP3mR0tLa2PR1lDFki2MceiH3kgNLihzsA6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:37:38.110341Z"},"content_sha256":"22a3f8891eef0800ad499952adb5d00ed98a32d2a7614209810ea67a8958068e","schema_version":"1.0","event_id":"sha256:22a3f8891eef0800ad499952adb5d00ed98a32d2a7614209810ea67a8958068e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS/bundle.json","state_url":"https://pith.science/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS/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":"2026-06-09T12:37:38Z","links":{"resolver":"https://pith.science/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS","bundle":"https://pith.science/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS/bundle.json","state":"https://pith.science/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G2LQ36ZQ5K7NDNFER63EZ3VJVS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:G2LQ36ZQ5K7NDNFER63EZ3VJVS","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":"8b79763365749e1155b6cfc9254ac554ffae206e07d51175492f9c64275367f2","cross_cats_sorted":["math.AP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-05T17:23:06Z","title_canon_sha256":"01b4bfbaf0f2d288093eb87bc872d5e35658149db526fcac2adaa275221d1ff4"},"schema_version":"1.0","source":{"id":"1212.1106","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1106","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1106v1","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1106","created_at":"2026-05-18T03:39:05Z"},{"alias_kind":"pith_short_12","alias_value":"G2LQ36ZQ5K7N","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"G2LQ36ZQ5K7NDNFE","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"G2LQ36ZQ","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:22a3f8891eef0800ad499952adb5d00ed98a32d2a7614209810ea67a8958068e","target":"graph","created_at":"2026-05-18T03:39:05Z","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 new rescaling of the vorticity moments and their growth terms is used to characterise the evolution of anti-parallel vortices governed by the 3D Euler equations. To suppress unphysical instabilities, the initial condition uses a balanced profile for the initial magnitude of vorticity along with a new algorithm for the initial vorticity direction. The new analysis uses a new adaptation to the Euler equations of a rescaling of the vorticity moments developed for Navier-Stokes analysis. All rescaled moments grow in time, with the lower-order moments bounding the higher-order moments from above,","authors_text":"Robert M. Kerr","cross_cats":["math.AP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-05T17:23:06Z","title":"Bounds on a singular attractor in Euler using vorticity moments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1106","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":"sha256:199423445b0e09a86d25f3fb9e79fa40da1eb2744b2ad2550c5d34db4ce68e2a","target":"record","created_at":"2026-05-18T03:39:05Z","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":"8b79763365749e1155b6cfc9254ac554ffae206e07d51175492f9c64275367f2","cross_cats_sorted":["math.AP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-12-05T17:23:06Z","title_canon_sha256":"01b4bfbaf0f2d288093eb87bc872d5e35658149db526fcac2adaa275221d1ff4"},"schema_version":"1.0","source":{"id":"1212.1106","kind":"arxiv","version":1}},"canonical_sha256":"36970dfb30eabed1b4a48fb64ceea9acb3af9418da010db92efb358eac1524ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36970dfb30eabed1b4a48fb64ceea9acb3af9418da010db92efb358eac1524ed","first_computed_at":"2026-05-18T03:39:05.832973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:05.832973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N8ksYS48uKZApPQ3e3GSzMglTH5IccHRgeBX0zrzyLEP4pkTgsaGBhwVKIoM5dhJoNs9/67MUs6eHy84QgGaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:05.833573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1106","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:199423445b0e09a86d25f3fb9e79fa40da1eb2744b2ad2550c5d34db4ce68e2a","sha256:22a3f8891eef0800ad499952adb5d00ed98a32d2a7614209810ea67a8958068e"],"state_sha256":"443c099dcb3a25297685dbfabf24d88415fa940ad04c15f70025fe25061c768b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N5DGDnzWTkfYDfNG9fbu5ecXu6urWgKKMYkK1/LxpzdTnUEHv29nPIPOsS0GQFgZ60sIsnNrWnnj9C9XUwpcDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T12:37:38.112272Z","bundle_sha256":"610b6d7f965d21d303fac7fd84baf86663f5ef6808f127c66074fcff758e940b"}}