{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZIKS5U6CD5AKU7ZNU7ZHFKBFPE","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":"a658d10acd40f7ecef9ecd34b95e3c43b64700ed69039a7809234ac7704b7a3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-15T16:46:24Z","title_canon_sha256":"cfac26b7ec856cb3c2479642351af8279e124f01687e732a79d08862719ef503"},"schema_version":"1.0","source":{"id":"1601.03993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03993","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03993v1","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03993","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"ZIKS5U6CD5AK","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZIKS5U6CD5AKU7ZN","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZIKS5U6C","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:c3d799e0d739eba70aa1026d9faa08fae98ed744b1f91435d961853142bc879c","target":"graph","created_at":"2026-05-18T00:07:33Z","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":"We give a simple demonstration that the Schr\\\"odinger equation may be recast as a self-contained second-order Newtonian law for a congruence of spacetime trajectories. This provides a pictorial representation of the quantum state as the displacement function of the collective whereby quantum evolution is represented as the deterministic unfolding of a continuous coordinate transformation. Introducing gauge potentials for the density and current density it is shown that the wave-mechanical and trajectory pictures are connected by a canonical transformation. The canonical trajectory theory is sh","authors_text":"Peter Holland","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-15T16:46:24Z","title":"The quantum state as spatial displacement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03993","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":"sha256:14e1664658765f6a21d957c80762bb3b9aa28cdcf2748995b25ba987e69f20a3","target":"record","created_at":"2026-05-18T00:07:33Z","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":"a658d10acd40f7ecef9ecd34b95e3c43b64700ed69039a7809234ac7704b7a3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-15T16:46:24Z","title_canon_sha256":"cfac26b7ec856cb3c2479642351af8279e124f01687e732a79d08862719ef503"},"schema_version":"1.0","source":{"id":"1601.03993","kind":"arxiv","version":1}},"canonical_sha256":"ca152ed3c21f40aa7f2da7f272a82579126244b79b6b42af12831185605ee9cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca152ed3c21f40aa7f2da7f272a82579126244b79b6b42af12831185605ee9cd","first_computed_at":"2026-05-18T00:07:33.375838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:33.375838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NNtmexKpRl3KUOnv527xoBJAoqSjzxHHxCW8xmYSrs/eB9wACaz1Xe5ww9979GYYcbbwW2dFxXxQiMyzPtc+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:33.376457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14e1664658765f6a21d957c80762bb3b9aa28cdcf2748995b25ba987e69f20a3","sha256:c3d799e0d739eba70aa1026d9faa08fae98ed744b1f91435d961853142bc879c"],"state_sha256":"a76a204f06d71eff7c8da8487e8adfffdeedef01cbae80ccbee579ed816fa58e"}