{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GBO6Y6MY2OQC3U6Y4MD2YJUKSV","short_pith_number":"pith:GBO6Y6MY","canonical_record":{"source":{"id":"2506.19819","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2025-06-24T17:35:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"868336386f03f5414b1661117107e4776cc2655cfdd34c9e5d2838cf0c86cc08","abstract_canon_sha256":"01a6b498e6618268f1d4deeededc7f6031395dd3b25016d926142412899fbb42"},"schema_version":"1.0"},"canonical_sha256":"305dec7998d3a02dd3d8e307ac268a957dc7a036936f5779a03908c3702d33f5","source":{"kind":"arxiv","id":"2506.19819","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.19819","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"2506.19819v3","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.19819","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"GBO6Y6MY2OQC","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"pith_short_16","alias_value":"GBO6Y6MY2OQC3U6Y","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"pith_short_8","alias_value":"GBO6Y6MY","created_at":"2026-07-05T12:00:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GBO6Y6MY2OQC3U6Y4MD2YJUKSV","target":"record","payload":{"canonical_record":{"source":{"id":"2506.19819","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2025-06-24T17:35:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"868336386f03f5414b1661117107e4776cc2655cfdd34c9e5d2838cf0c86cc08","abstract_canon_sha256":"01a6b498e6618268f1d4deeededc7f6031395dd3b25016d926142412899fbb42"},"schema_version":"1.0"},"canonical_sha256":"305dec7998d3a02dd3d8e307ac268a957dc7a036936f5779a03908c3702d33f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:00:03.127268Z","signature_b64":"xF/fSnisvdTB+1yxhWrWSzb7VqdEkDB/DKN9yLKD7CsaubmtwDK48v8+uafdPOqTWPhrjZBornh9ZtJ1CiCyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"305dec7998d3a02dd3d8e307ac268a957dc7a036936f5779a03908c3702d33f5","last_reissued_at":"2026-07-05T12:00:03.126742Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:00:03.126742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.19819","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MkKk6U4Kt3j4AXZoipcCpHVWjjEdd37QWSdkeczp0EU+57cEAiRszgP4ZfW44U15IcKRk/0K9mHy3nCc4SKXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T03:19:14.755842Z"},"content_sha256":"fbcb31e14d7bdd97be209cf49ce2424e312c5532c143973b7087fbf6b95eff7c","schema_version":"1.0","event_id":"sha256:fbcb31e14d7bdd97be209cf49ce2424e312c5532c143973b7087fbf6b95eff7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GBO6Y6MY2OQC3U6Y4MD2YJUKSV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An alternative interpretation of the Grioli gyroscope suspension points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.class-ph","authors_text":"Alexei A. Deriglazov","submitted_at":"2025-06-24T17:35:02Z","abstract_excerpt":"We present a detailed analysis of all possible regular precessions of a heavy asymmetric body with a fixed point not coinciding with the center of mass. The calculations are done in terms of the rotation matrix, by writing the Euler-Poisson equations with all involved vectors parameterized in the Laboratory frame. It is shown that a regular precession is possible if the suspension point is chosen on the straight lines (lying in the principal plane) which are frontiers of the regions where, as the distance from the center of mass increases, the interchange of the intermediate and largest moment"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.19819","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.19819/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T12:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"37QPbiXZJaDrVOm3Hw5qHq5RFGJoVySJJIz5nQBrcZ8Y6RDXtLkzaEYjD9Eckug+i40B/jtFZ3T3h0bMWjc8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T03:19:14.756221Z"},"content_sha256":"9cb689dbcc14b41f03c709de7d5f43f7ebc9211ab68674562407473bf27271af","schema_version":"1.0","event_id":"sha256:9cb689dbcc14b41f03c709de7d5f43f7ebc9211ab68674562407473bf27271af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV/bundle.json","state_url":"https://pith.science/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV/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":"2026-08-21T03:19:14Z","links":{"resolver":"https://pith.science/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV","bundle":"https://pith.science/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV/bundle.json","state":"https://pith.science/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GBO6Y6MY2OQC3U6Y4MD2YJUKSV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GBO6Y6MY2OQC3U6Y4MD2YJUKSV","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":"01a6b498e6618268f1d4deeededc7f6031395dd3b25016d926142412899fbb42","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2025-06-24T17:35:02Z","title_canon_sha256":"868336386f03f5414b1661117107e4776cc2655cfdd34c9e5d2838cf0c86cc08"},"schema_version":"1.0","source":{"id":"2506.19819","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.19819","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"2506.19819v3","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.19819","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"GBO6Y6MY2OQC","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"pith_short_16","alias_value":"GBO6Y6MY2OQC3U6Y","created_at":"2026-07-05T12:00:03Z"},{"alias_kind":"pith_short_8","alias_value":"GBO6Y6MY","created_at":"2026-07-05T12:00:03Z"}],"graph_snapshots":[{"event_id":"sha256:9cb689dbcc14b41f03c709de7d5f43f7ebc9211ab68674562407473bf27271af","target":"graph","created_at":"2026-07-05T12:00:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.19819/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a detailed analysis of all possible regular precessions of a heavy asymmetric body with a fixed point not coinciding with the center of mass. The calculations are done in terms of the rotation matrix, by writing the Euler-Poisson equations with all involved vectors parameterized in the Laboratory frame. It is shown that a regular precession is possible if the suspension point is chosen on the straight lines (lying in the principal plane) which are frontiers of the regions where, as the distance from the center of mass increases, the interchange of the intermediate and largest moment","authors_text":"Alexei A. Deriglazov","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2025-06-24T17:35:02Z","title":"An alternative interpretation of the Grioli gyroscope suspension points"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.19819","kind":"arxiv","version":3},"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:fbcb31e14d7bdd97be209cf49ce2424e312c5532c143973b7087fbf6b95eff7c","target":"record","created_at":"2026-07-05T12:00:03Z","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":"01a6b498e6618268f1d4deeededc7f6031395dd3b25016d926142412899fbb42","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2025-06-24T17:35:02Z","title_canon_sha256":"868336386f03f5414b1661117107e4776cc2655cfdd34c9e5d2838cf0c86cc08"},"schema_version":"1.0","source":{"id":"2506.19819","kind":"arxiv","version":3}},"canonical_sha256":"305dec7998d3a02dd3d8e307ac268a957dc7a036936f5779a03908c3702d33f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"305dec7998d3a02dd3d8e307ac268a957dc7a036936f5779a03908c3702d33f5","first_computed_at":"2026-07-05T12:00:03.126742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:00:03.126742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xF/fSnisvdTB+1yxhWrWSzb7VqdEkDB/DKN9yLKD7CsaubmtwDK48v8+uafdPOqTWPhrjZBornh9ZtJ1CiCyDg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:00:03.127268Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.19819","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbcb31e14d7bdd97be209cf49ce2424e312c5532c143973b7087fbf6b95eff7c","sha256:9cb689dbcc14b41f03c709de7d5f43f7ebc9211ab68674562407473bf27271af"],"state_sha256":"4e1b6a98d49cd057e679fdee3cb090ca1daa852133331ba26bbbb5e382a39161"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WKWiKMbTrTA0O4BP3Ify3Zr4oGeph3miU9s9qnO6lmsKATNLg0FSHU7XWwvyXOuJ0oMeALpZn+wIb552LkQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T03:19:14.758686Z","bundle_sha256":"e85cd0dddb27a81574a80ca328be8fc5457463709dc529e2bbb4dae319bc08e7"}}