{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RLG2223EX5PM7366SAOT4LG7E7","short_pith_number":"pith:RLG2223E","canonical_record":{"source":{"id":"1105.5876","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-30T06:33:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3f769989581f50a64f6041279bfa137c9f327e00e2215bcef3e5d1043e4c1d4c","abstract_canon_sha256":"751cfa003fe4cb8510430b2f544e47f6af7d1c1a541a44de263f0f550d6a3a4c"},"schema_version":"1.0"},"canonical_sha256":"8acdad6b64bf5ecfefde901d3e2cdf27e5991b3353cd98a55cf71abe3c32d6b8","source":{"kind":"arxiv","id":"1105.5876","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5876","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5876v4","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5876","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"RLG2223EX5PM","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RLG2223EX5PM7366","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RLG2223E","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RLG2223EX5PM7366SAOT4LG7E7","target":"record","payload":{"canonical_record":{"source":{"id":"1105.5876","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-30T06:33:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3f769989581f50a64f6041279bfa137c9f327e00e2215bcef3e5d1043e4c1d4c","abstract_canon_sha256":"751cfa003fe4cb8510430b2f544e47f6af7d1c1a541a44de263f0f550d6a3a4c"},"schema_version":"1.0"},"canonical_sha256":"8acdad6b64bf5ecfefde901d3e2cdf27e5991b3353cd98a55cf71abe3c32d6b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:59.790188Z","signature_b64":"8yokwufayIsoemglFBrWKgLvJu/5DJevBrJpu8UB7WRx50U1y5iVmkn3DD/vON/4qcNouTH6fxJtyU69dX6nDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8acdad6b64bf5ecfefde901d3e2cdf27e5991b3353cd98a55cf71abe3c32d6b8","last_reissued_at":"2026-05-18T03:34:59.789611Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:59.789611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.5876","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":"2026-05-18T03:34:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G7EpKtB0rC15b92UA9B/Kd83yP0NQJv9RoTrxwa3pI88uN1fDWhcKuRIvVTdgQOnOe2ykdCLBSJrWw7n51OgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:06:10.633735Z"},"content_sha256":"be7b864a03787f076272736562321d87f97990a062142f275b2ccac3f8299f34","schema_version":"1.0","event_id":"sha256:be7b864a03787f076272736562321d87f97990a062142f275b2ccac3f8299f34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RLG2223EX5PM7366SAOT4LG7E7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On asymptotic higher analogs of the magnetic helicity invariant in MHD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.GT","authors_text":"Petr M. Akhmet'ev","submitted_at":"2011-05-30T06:33:04Z","abstract_excerpt":"A solution of a problem by V.I.Arnol'd about higher analog of the asymptotic Hopf invariant of divergence-free vector fields is presented. A higher invariant of magnetic fields, which is not expressed from the asymptotic linking numbers of magnetic lines is constructed and examples of an asymptotic invariants is constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5876","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":"2026-05-18T03:34:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UnM1IL4TXl8rCU3dBDk05IiTcFV5W0MOEe/pZo01nJzBeGl0UUG/SYMv58541mHamHn9sQuH+KpCFCuUBN4dBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:06:10.634078Z"},"content_sha256":"da0138e94c3941f4d535ac9e82536e06f8b4f0fbec0c8b8db989785ed2fc17be","schema_version":"1.0","event_id":"sha256:da0138e94c3941f4d535ac9e82536e06f8b4f0fbec0c8b8db989785ed2fc17be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLG2223EX5PM7366SAOT4LG7E7/bundle.json","state_url":"https://pith.science/pith/RLG2223EX5PM7366SAOT4LG7E7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLG2223EX5PM7366SAOT4LG7E7/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":"2026-06-02T13:06:10Z","links":{"resolver":"https://pith.science/pith/RLG2223EX5PM7366SAOT4LG7E7","bundle":"https://pith.science/pith/RLG2223EX5PM7366SAOT4LG7E7/bundle.json","state":"https://pith.science/pith/RLG2223EX5PM7366SAOT4LG7E7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLG2223EX5PM7366SAOT4LG7E7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RLG2223EX5PM7366SAOT4LG7E7","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":"751cfa003fe4cb8510430b2f544e47f6af7d1c1a541a44de263f0f550d6a3a4c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-30T06:33:04Z","title_canon_sha256":"3f769989581f50a64f6041279bfa137c9f327e00e2215bcef3e5d1043e4c1d4c"},"schema_version":"1.0","source":{"id":"1105.5876","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5876","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5876v4","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5876","created_at":"2026-05-18T03:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"RLG2223EX5PM","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RLG2223EX5PM7366","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RLG2223E","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:da0138e94c3941f4d535ac9e82536e06f8b4f0fbec0c8b8db989785ed2fc17be","target":"graph","created_at":"2026-05-18T03:34:59Z","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 solution of a problem by V.I.Arnol'd about higher analog of the asymptotic Hopf invariant of divergence-free vector fields is presented. A higher invariant of magnetic fields, which is not expressed from the asymptotic linking numbers of magnetic lines is constructed and examples of an asymptotic invariants is constructed.","authors_text":"Petr M. Akhmet'ev","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-30T06:33:04Z","title":"On asymptotic higher analogs of the magnetic helicity invariant in MHD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5876","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:be7b864a03787f076272736562321d87f97990a062142f275b2ccac3f8299f34","target":"record","created_at":"2026-05-18T03:34:59Z","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":"751cfa003fe4cb8510430b2f544e47f6af7d1c1a541a44de263f0f550d6a3a4c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-30T06:33:04Z","title_canon_sha256":"3f769989581f50a64f6041279bfa137c9f327e00e2215bcef3e5d1043e4c1d4c"},"schema_version":"1.0","source":{"id":"1105.5876","kind":"arxiv","version":4}},"canonical_sha256":"8acdad6b64bf5ecfefde901d3e2cdf27e5991b3353cd98a55cf71abe3c32d6b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8acdad6b64bf5ecfefde901d3e2cdf27e5991b3353cd98a55cf71abe3c32d6b8","first_computed_at":"2026-05-18T03:34:59.789611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:59.789611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8yokwufayIsoemglFBrWKgLvJu/5DJevBrJpu8UB7WRx50U1y5iVmkn3DD/vON/4qcNouTH6fxJtyU69dX6nDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:59.790188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5876","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be7b864a03787f076272736562321d87f97990a062142f275b2ccac3f8299f34","sha256:da0138e94c3941f4d535ac9e82536e06f8b4f0fbec0c8b8db989785ed2fc17be"],"state_sha256":"3c47df2f577a07b4d7ef247a8299d223eeeb1849297a326084e1a44e23aca5fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4iT6u+yZgvvKDYEds6DwE9THbaRl+PF4ZVP1MZRmEpkeJQtg4AaNpIOpAHKeYTpAWn5QXkr2/3YfrVWeuAf3Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:06:10.636077Z","bundle_sha256":"4cbfa42a3a4323ec3bc4f075f13ed208a288bb049aac5c6f403a58090526c2b7"}}