{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5N4JIHPCR3OM5S2L4Q2KZJSXKJ","short_pith_number":"pith:5N4JIHPC","canonical_record":{"source":{"id":"1611.03303","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-10T14:01:27Z","cross_cats_sorted":[],"title_canon_sha256":"46a376f21f56fc2a05d02a0c9074fcad8e2d64902549ee65dfb1c4eca1564cb7","abstract_canon_sha256":"21b70d22bc43c521d2004420a66830f050b34035eee468dc6e435f0825fc6b1d"},"schema_version":"1.0"},"canonical_sha256":"eb78941de28edccecb4be434aca657526b30d6d78c987bbeb4eb9dfdbad1f485","source":{"kind":"arxiv","id":"1611.03303","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03303","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03303v2","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03303","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"5N4JIHPCR3OM","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5N4JIHPCR3OM5S2L","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5N4JIHPC","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5N4JIHPCR3OM5S2L4Q2KZJSXKJ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03303","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-10T14:01:27Z","cross_cats_sorted":[],"title_canon_sha256":"46a376f21f56fc2a05d02a0c9074fcad8e2d64902549ee65dfb1c4eca1564cb7","abstract_canon_sha256":"21b70d22bc43c521d2004420a66830f050b34035eee468dc6e435f0825fc6b1d"},"schema_version":"1.0"},"canonical_sha256":"eb78941de28edccecb4be434aca657526b30d6d78c987bbeb4eb9dfdbad1f485","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:52.503931Z","signature_b64":"hm1TKEb94fu4Qsmjj1rw4Ti0dWXOKqLGmeQMvavpIkIGOZTjTbfcVlsjms7M+Ap04A5qxrJ1PyDc8L3ZVQ1KCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb78941de28edccecb4be434aca657526b30d6d78c987bbeb4eb9dfdbad1f485","last_reissued_at":"2026-05-18T00:20:52.503514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:52.503514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03303","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPagYRhAgM2zZxM3fOQ94g3xr3fpQYNrwA1i411+jzu1YYAxzSzOIM3f1bOlon/Obj7UzOXccliVbNVK+S8LDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:50:29.021407Z"},"content_sha256":"13225039478e68a9c95cc402e2d06cc00532993963eeadf23ac41aed9c4e57da","schema_version":"1.0","event_id":"sha256:13225039478e68a9c95cc402e2d06cc00532993963eeadf23ac41aed9c4e57da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5N4JIHPCR3OM5S2L4Q2KZJSXKJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anharmonic quantum mechanical systems do not feature phase space trajectories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dimitris Kakofengitis, Maxime Oliva, Ole Steuernagel","submitted_at":"2016-11-10T14:01:27Z","abstract_excerpt":"Phase space dynamics in classical mechanics is described by transport along trajectories. Anharmonic quantum mechanical systems do not allow for a trajectory-based description of their phase space dynamics. This invalidates some approaches to quantum phase space studies. We first demonstrate the absenceof trajectories in general terms. We then give an explicit proof for all quantum phase space distributions with negative values: we show that the generation of coherences in anharmonic quantum mechanical systems is responsible for the occurrence of singularities in their phase space velocity fie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03303","kind":"arxiv","version":2},"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":"2026-05-18T00:20:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3vM4mdEvm/UHWEdg3riVfKCNlVzGbZn9SM5GTXxmOG0P30i4LVTbo5aRJodojwuUAeVgz6NyfgIkJ5GW/IHQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:50:29.021768Z"},"content_sha256":"38f5a529838b18f8d2b7098bcd8abb1f0ad4ec7b332044fd9239aa86f951459d","schema_version":"1.0","event_id":"sha256:38f5a529838b18f8d2b7098bcd8abb1f0ad4ec7b332044fd9239aa86f951459d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ/bundle.json","state_url":"https://pith.science/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ/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":"2026-06-01T05:50:29Z","links":{"resolver":"https://pith.science/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ","bundle":"https://pith.science/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ/bundle.json","state":"https://pith.science/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5N4JIHPCR3OM5S2L4Q2KZJSXKJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5N4JIHPCR3OM5S2L4Q2KZJSXKJ","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":"21b70d22bc43c521d2004420a66830f050b34035eee468dc6e435f0825fc6b1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-10T14:01:27Z","title_canon_sha256":"46a376f21f56fc2a05d02a0c9074fcad8e2d64902549ee65dfb1c4eca1564cb7"},"schema_version":"1.0","source":{"id":"1611.03303","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03303","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03303v2","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03303","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"5N4JIHPCR3OM","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5N4JIHPCR3OM5S2L","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5N4JIHPC","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:38f5a529838b18f8d2b7098bcd8abb1f0ad4ec7b332044fd9239aa86f951459d","target":"graph","created_at":"2026-05-18T00:20:52Z","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":"Phase space dynamics in classical mechanics is described by transport along trajectories. Anharmonic quantum mechanical systems do not allow for a trajectory-based description of their phase space dynamics. This invalidates some approaches to quantum phase space studies. We first demonstrate the absenceof trajectories in general terms. We then give an explicit proof for all quantum phase space distributions with negative values: we show that the generation of coherences in anharmonic quantum mechanical systems is responsible for the occurrence of singularities in their phase space velocity fie","authors_text":"Dimitris Kakofengitis, Maxime Oliva, Ole Steuernagel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-10T14:01:27Z","title":"Anharmonic quantum mechanical systems do not feature phase space trajectories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03303","kind":"arxiv","version":2},"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":"sha256:13225039478e68a9c95cc402e2d06cc00532993963eeadf23ac41aed9c4e57da","target":"record","created_at":"2026-05-18T00:20:52Z","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":"21b70d22bc43c521d2004420a66830f050b34035eee468dc6e435f0825fc6b1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-11-10T14:01:27Z","title_canon_sha256":"46a376f21f56fc2a05d02a0c9074fcad8e2d64902549ee65dfb1c4eca1564cb7"},"schema_version":"1.0","source":{"id":"1611.03303","kind":"arxiv","version":2}},"canonical_sha256":"eb78941de28edccecb4be434aca657526b30d6d78c987bbeb4eb9dfdbad1f485","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb78941de28edccecb4be434aca657526b30d6d78c987bbeb4eb9dfdbad1f485","first_computed_at":"2026-05-18T00:20:52.503514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:52.503514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hm1TKEb94fu4Qsmjj1rw4Ti0dWXOKqLGmeQMvavpIkIGOZTjTbfcVlsjms7M+Ap04A5qxrJ1PyDc8L3ZVQ1KCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:52.503931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03303","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13225039478e68a9c95cc402e2d06cc00532993963eeadf23ac41aed9c4e57da","sha256:38f5a529838b18f8d2b7098bcd8abb1f0ad4ec7b332044fd9239aa86f951459d"],"state_sha256":"5e9a9f105559c0998ee867cfc98b395d073d7000bbce4330ad07d434b81b63e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6j6Fa/Fyg8Jd8oEIIZlXs3Qd/ITthI/vmHr86gjDJbn9uabW6A5Ddu2X+AIlGO7KgtuFn5OO8g6UOd048qlDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:50:29.023777Z","bundle_sha256":"2a7db8ea548d47fbbad47fb9e4d03be296e779bf353934cac19a35980a433666"}}