{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HYGLXYLNUAWUXQBMM4O5ELJBT3","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":"85b0881b632f4e64f5890800a6703fab1419af868b10d0004665eec862d62a43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-04T14:56:30Z","title_canon_sha256":"53dc4a075f339721c3363d2b33b25f54a5b2f812e4989baf86c14e07105ad943"},"schema_version":"1.0","source":{"id":"1903.01870","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01870","created_at":"2026-07-05T02:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01870v6","created_at":"2026-07-05T02:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01870","created_at":"2026-07-05T02:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"HYGLXYLNUAWU","created_at":"2026-07-05T02:34:28Z"},{"alias_kind":"pith_short_16","alias_value":"HYGLXYLNUAWUXQBM","created_at":"2026-07-05T02:34:28Z"},{"alias_kind":"pith_short_8","alias_value":"HYGLXYLN","created_at":"2026-07-05T02:34:28Z"}],"graph_snapshots":[{"event_id":"sha256:04cb820f0efebaadf4552fea190bd43c973a628139fd7b89cf5626365d8bfc2e","target":"graph","created_at":"2026-07-05T02:34:28Z","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/1903.01870/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"De Broglie's quest for a wave-like approach capable of representing the position of a moving particle, is satisfied, in the case of time-independent external fields, by assuming that each particle runs along the virtual trajectories associated, under assigned starting conditions, with a time-independent Schr\\\"odinger (or Klein-Gordon) equation. Just like in classical Dynamics, indeed, the starting conditions determine, from the beginning, a set of virtual particle trajectories independent from the very presence of the particles.","authors_text":"Adriano Orefice, Domenico Ditto, Raffaele Giovanelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-04T14:56:30Z","title":"de Broglie's Exact Trajectories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01870","kind":"arxiv","version":6},"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":"sha256:099b79a807cfec991b0f293967b802d9b9afab3954f447849e87e42caa9c908f","target":"record","created_at":"2026-07-05T02:34:28Z","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":"85b0881b632f4e64f5890800a6703fab1419af868b10d0004665eec862d62a43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-04T14:56:30Z","title_canon_sha256":"53dc4a075f339721c3363d2b33b25f54a5b2f812e4989baf86c14e07105ad943"},"schema_version":"1.0","source":{"id":"1903.01870","kind":"arxiv","version":6}},"canonical_sha256":"3e0cbbe16da02d4bc02c671dd22d219ed42bcfa06bfaf1e4f65885e2649eda54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e0cbbe16da02d4bc02c671dd22d219ed42bcfa06bfaf1e4f65885e2649eda54","first_computed_at":"2026-07-05T02:34:28.557002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:34:28.557002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dU0aDnzhmH74K4J7Atdd/PMhjRGXgaULhIvAUWNhs5K4t2sbxsJtEoorvSB7DDJgznHIjeTukxS2t6PDC66FDA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:34:28.557612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01870","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:099b79a807cfec991b0f293967b802d9b9afab3954f447849e87e42caa9c908f","sha256:04cb820f0efebaadf4552fea190bd43c973a628139fd7b89cf5626365d8bfc2e"],"state_sha256":"aff8e5575d6ee2787d01e31b1da437b058c188760dd50f1406264668f37c579a"}