{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:6H7274Q3YPZFP7WL6HGCCYIV7C","short_pith_number":"pith:6H7274Q3","canonical_record":{"source":{"id":"nlin/0603030","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2006-03-14T07:35:43Z","cross_cats_sorted":[],"title_canon_sha256":"89baa93abbb136f5ebf476eddca8a5fa9fece5083bb85d93eb0441f5f906d1fd","abstract_canon_sha256":"1906883cfc115e0cce32a847ae6740ed2c281e92ed75cadeb52e6a49f6f99409"},"schema_version":"1.0"},"canonical_sha256":"f1ffaff21bc3f257fecbf1cc216115f8a37ed4c7407f0e80f284c2594f2fe372","source":{"kind":"arxiv","id":"nlin/0603030","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0603030","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0603030v4","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0603030","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"6H7274Q3YPZF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"6H7274Q3YPZFP7WL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"6H7274Q3","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:6H7274Q3YPZFP7WL6HGCCYIV7C","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0603030","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2006-03-14T07:35:43Z","cross_cats_sorted":[],"title_canon_sha256":"89baa93abbb136f5ebf476eddca8a5fa9fece5083bb85d93eb0441f5f906d1fd","abstract_canon_sha256":"1906883cfc115e0cce32a847ae6740ed2c281e92ed75cadeb52e6a49f6f99409"},"schema_version":"1.0"},"canonical_sha256":"f1ffaff21bc3f257fecbf1cc216115f8a37ed4c7407f0e80f284c2594f2fe372","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:38.823243Z","signature_b64":"9mg/9Y4DMkXV1jX0+hJipy9lDiBHySo6W/91c0WBOxGtMwh4AdWlyFabgUpza7PsbjsybcZepPZczBnsFzfEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1ffaff21bc3f257fecbf1cc216115f8a37ed4c7407f0e80f284c2594f2fe372","last_reissued_at":"2026-05-18T00:57:38.822745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:38.822745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0603030","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KDJ1A3ZjIo54MfVS39VSDxb0uMsESsQkOgxKfuglFjyrMULIlqE9VymKYk4hsW409DrW9FqLcQaYV13L47pFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:28:55.671043Z"},"content_sha256":"0814df8a21810bb834b0fb2face4e7cbf56e568e5f6f3cb0dd511c9fac0159b0","schema_version":"1.0","event_id":"sha256:0814df8a21810bb834b0fb2face4e7cbf56e568e5f6f3cb0dd511c9fac0159b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:6H7274Q3YPZFP7WL6HGCCYIV7C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Influence of helicity on anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"A. Mazzino, E. Jurcisinova, M. Hnati\\v{c}, M. Jurcisin, M. Repasan, O.G. Chkhetiani","submitted_at":"2006-03-14T07:35:43Z","abstract_excerpt":"The influence of helicity on the stability of scaling regimes, on the effective diffusivity, and on the anomalous scaling of structure functions of a passive scalar advected by a Gaussian solenoidal velocity field with finite correlation time is investigated by the field theoretic renormalization group and operator product expansion within two-loop approximation. The influence of helicity on the scaling regimes is discussed and shown in the plane of exponents $\\epsilon-\\eta$, where $\\epsilon$ characterizes the energy spectrum of the velocity field in the inertial range $E\\propto k^{1-2\\epsilon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0603030","kind":"arxiv","version":4},"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":"2026-05-18T00:57:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YzcMo0LENBoP43VWzttItPJx2usnYjyd4vU8upqy2M+6mIFqdSAyvqJZBjr8sTZw5diqLjg4DG1hul5M7TpcBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:28:55.671642Z"},"content_sha256":"c934a514aa97dbcae77a1f7b2fd2caa2a8b0af69ef07953453869b2259c7862e","schema_version":"1.0","event_id":"sha256:c934a514aa97dbcae77a1f7b2fd2caa2a8b0af69ef07953453869b2259c7862e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6H7274Q3YPZFP7WL6HGCCYIV7C/bundle.json","state_url":"https://pith.science/pith/6H7274Q3YPZFP7WL6HGCCYIV7C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6H7274Q3YPZFP7WL6HGCCYIV7C/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":"2026-05-28T03:28:55Z","links":{"resolver":"https://pith.science/pith/6H7274Q3YPZFP7WL6HGCCYIV7C","bundle":"https://pith.science/pith/6H7274Q3YPZFP7WL6HGCCYIV7C/bundle.json","state":"https://pith.science/pith/6H7274Q3YPZFP7WL6HGCCYIV7C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6H7274Q3YPZFP7WL6HGCCYIV7C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:6H7274Q3YPZFP7WL6HGCCYIV7C","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":"1906883cfc115e0cce32a847ae6740ed2c281e92ed75cadeb52e6a49f6f99409","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2006-03-14T07:35:43Z","title_canon_sha256":"89baa93abbb136f5ebf476eddca8a5fa9fece5083bb85d93eb0441f5f906d1fd"},"schema_version":"1.0","source":{"id":"nlin/0603030","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0603030","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0603030v4","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0603030","created_at":"2026-05-18T00:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"6H7274Q3YPZF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"6H7274Q3YPZFP7WL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"6H7274Q3","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:c934a514aa97dbcae77a1f7b2fd2caa2a8b0af69ef07953453869b2259c7862e","target":"graph","created_at":"2026-05-18T00:57:38Z","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 influence of helicity on the stability of scaling regimes, on the effective diffusivity, and on the anomalous scaling of structure functions of a passive scalar advected by a Gaussian solenoidal velocity field with finite correlation time is investigated by the field theoretic renormalization group and operator product expansion within two-loop approximation. The influence of helicity on the scaling regimes is discussed and shown in the plane of exponents $\\epsilon-\\eta$, where $\\epsilon$ characterizes the energy spectrum of the velocity field in the inertial range $E\\propto k^{1-2\\epsilon","authors_text":"A. Mazzino, E. Jurcisinova, M. Hnati\\v{c}, M. Jurcisin, M. Repasan, O.G. Chkhetiani","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2006-03-14T07:35:43Z","title":"Influence of helicity on anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0603030","kind":"arxiv","version":4},"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":"sha256:0814df8a21810bb834b0fb2face4e7cbf56e568e5f6f3cb0dd511c9fac0159b0","target":"record","created_at":"2026-05-18T00:57:38Z","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":"1906883cfc115e0cce32a847ae6740ed2c281e92ed75cadeb52e6a49f6f99409","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2006-03-14T07:35:43Z","title_canon_sha256":"89baa93abbb136f5ebf476eddca8a5fa9fece5083bb85d93eb0441f5f906d1fd"},"schema_version":"1.0","source":{"id":"nlin/0603030","kind":"arxiv","version":4}},"canonical_sha256":"f1ffaff21bc3f257fecbf1cc216115f8a37ed4c7407f0e80f284c2594f2fe372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1ffaff21bc3f257fecbf1cc216115f8a37ed4c7407f0e80f284c2594f2fe372","first_computed_at":"2026-05-18T00:57:38.822745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:38.822745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9mg/9Y4DMkXV1jX0+hJipy9lDiBHySo6W/91c0WBOxGtMwh4AdWlyFabgUpza7PsbjsybcZepPZczBnsFzfEBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:38.823243Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0603030","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0814df8a21810bb834b0fb2face4e7cbf56e568e5f6f3cb0dd511c9fac0159b0","sha256:c934a514aa97dbcae77a1f7b2fd2caa2a8b0af69ef07953453869b2259c7862e"],"state_sha256":"66f1d4a7edcc8fb2db2aa716d3d36f0f38c1abfcfb00bb16aef8098b387d7e74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rXDkA9C614NA+TX8MgX+mei1nJPGUP9yPc59RH0/Ds2jPcIepK1j4pEaz79xMUAufYo2SycScNEwzT6m/znVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:28:55.674774Z","bundle_sha256":"7d1ac95c8a16de8f2f2ec2ffeba020263869740695fd201bfe9fe70de9379b4d"}}