{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:B6I6F3ZMOWLH3JZTYZCCAPWJA2","short_pith_number":"pith:B6I6F3ZM","canonical_record":{"source":{"id":"1111.4179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-17T18:58:13Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"d92aa06385867208ac07051208145fff11265cc31bc9367d9a0d62316c4116b6","abstract_canon_sha256":"230168dde7a2101dcdb764e6b37acb6bfc2238d12eebaa8f4487795670806bfe"},"schema_version":"1.0"},"canonical_sha256":"0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351","source":{"kind":"arxiv","id":"1111.4179","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4179","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4179v1","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4179","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"B6I6F3ZMOWLH","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B6I6F3ZMOWLH3JZT","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B6I6F3ZM","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:B6I6F3ZMOWLH3JZTYZCCAPWJA2","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-17T18:58:13Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"d92aa06385867208ac07051208145fff11265cc31bc9367d9a0d62316c4116b6","abstract_canon_sha256":"230168dde7a2101dcdb764e6b37acb6bfc2238d12eebaa8f4487795670806bfe"},"schema_version":"1.0"},"canonical_sha256":"0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:52.953072Z","signature_b64":"3EY4KVCwqsfCWT0pcYUN1ouds8mvUcreW8rEjaOhN/tpWNcki+RPOvLayg49+uwDzTIZhp0rb2Ve2ukE7coyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351","last_reissued_at":"2026-05-18T03:07:52.952365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:52.952365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4179","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":"2026-05-18T03:07:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uEhzPxbY60hQ7rCmsElSdtz5UZXngZ0DoAua2J35r/aSwQN+bqWfyvhqcu4Qa5x8kt8e8xqHBa4Bou8eoq5fDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:53:39.076832Z"},"content_sha256":"f86cba2d74b46f5dcd60f40f0477a1504de66aecd4e041acaade0afa15d0489c","schema_version":"1.0","event_id":"sha256:f86cba2d74b46f5dcd60f40f0477a1504de66aecd4e041acaade0afa15d0489c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:B6I6F3ZMOWLH3JZTYZCCAPWJA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From a dynamical system of the knee to natural jet geometrical objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.DG","authors_text":"Mihaela Maria Marin, Mircea Neagu","submitted_at":"2011-11-17T18:58:13Z","abstract_excerpt":"In this paper we construct some natural geometrical objects on the 1-jet space J^1(R,R^3), like a nonlinear connection, a Cartan linear connection (together with its d-torsions and d-curvatures), a jet \"electromagnetic\" d-field and its geometric \"electromagnetic\" Yang-Mills energy, starting from a given dynamical system governing the three-dimensional motion of the knee in the mathematical model introduced by Grood and Suntay. The corresponding Yang-Mills energetic surfaces of constant level (produced by this knee dynamical system) are studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4179","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":"2026-05-18T03:07:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ntr/0C6EWgEPK4u/uB8qse5EhsmaPB80+9SeiqejdkIHFbvH30bbssBG5XaeyFgaUpeZSMiExo0U6SLWxLPUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:53:39.077567Z"},"content_sha256":"76c148c97f70b0e65ab1d6711f175708273dd9a79ce68fa1fefe4b6bf74a92fe","schema_version":"1.0","event_id":"sha256:76c148c97f70b0e65ab1d6711f175708273dd9a79ce68fa1fefe4b6bf74a92fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2/bundle.json","state_url":"https://pith.science/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2/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":"2026-06-06T16:53:39Z","links":{"resolver":"https://pith.science/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2","bundle":"https://pith.science/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2/bundle.json","state":"https://pith.science/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B6I6F3ZMOWLH3JZTYZCCAPWJA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:B6I6F3ZMOWLH3JZTYZCCAPWJA2","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":"230168dde7a2101dcdb764e6b37acb6bfc2238d12eebaa8f4487795670806bfe","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-17T18:58:13Z","title_canon_sha256":"d92aa06385867208ac07051208145fff11265cc31bc9367d9a0d62316c4116b6"},"schema_version":"1.0","source":{"id":"1111.4179","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4179","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4179v1","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4179","created_at":"2026-05-18T03:07:52Z"},{"alias_kind":"pith_short_12","alias_value":"B6I6F3ZMOWLH","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"B6I6F3ZMOWLH3JZT","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"B6I6F3ZM","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:76c148c97f70b0e65ab1d6711f175708273dd9a79ce68fa1fefe4b6bf74a92fe","target":"graph","created_at":"2026-05-18T03:07:52Z","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":"In this paper we construct some natural geometrical objects on the 1-jet space J^1(R,R^3), like a nonlinear connection, a Cartan linear connection (together with its d-torsions and d-curvatures), a jet \"electromagnetic\" d-field and its geometric \"electromagnetic\" Yang-Mills energy, starting from a given dynamical system governing the three-dimensional motion of the knee in the mathematical model introduced by Grood and Suntay. The corresponding Yang-Mills energetic surfaces of constant level (produced by this knee dynamical system) are studied.","authors_text":"Mihaela Maria Marin, Mircea Neagu","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-17T18:58:13Z","title":"From a dynamical system of the knee to natural jet geometrical objects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4179","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:f86cba2d74b46f5dcd60f40f0477a1504de66aecd4e041acaade0afa15d0489c","target":"record","created_at":"2026-05-18T03:07:52Z","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":"230168dde7a2101dcdb764e6b37acb6bfc2238d12eebaa8f4487795670806bfe","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-17T18:58:13Z","title_canon_sha256":"d92aa06385867208ac07051208145fff11265cc31bc9367d9a0d62316c4116b6"},"schema_version":"1.0","source":{"id":"1111.4179","kind":"arxiv","version":1}},"canonical_sha256":"0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f91e2ef2c75967da733c644203ec906abf31efa5e47ad87f1cf84eae44cc351","first_computed_at":"2026-05-18T03:07:52.952365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:52.952365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3EY4KVCwqsfCWT0pcYUN1ouds8mvUcreW8rEjaOhN/tpWNcki+RPOvLayg49+uwDzTIZhp0rb2Ve2ukE7coyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:52.953072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4179","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f86cba2d74b46f5dcd60f40f0477a1504de66aecd4e041acaade0afa15d0489c","sha256:76c148c97f70b0e65ab1d6711f175708273dd9a79ce68fa1fefe4b6bf74a92fe"],"state_sha256":"065d906bf48bd0a77590a126ab225eba51dc94c35777e09d9a338080e3bc2fa5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CT5uz8Kt2WKOzQ5lMV1cLogflzSI9RdHf5H7VJPvKcAJ5lMa5LHGuJ2Tc3etqAwhOJC1VyMNxEwn3BK6IeT1Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:53:39.081192Z","bundle_sha256":"72517053fe9135a4f214948b8b8764519ad0a9ff7b97a66a9bca491fad8d0127"}}