{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4SWHONTH5G4K2YFGFGGZBNCZXL","short_pith_number":"pith:4SWHONTH","canonical_record":{"source":{"id":"1112.3679","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-15T21:41:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"69819921273c932ef2f45906982cafa898df6c27b0d7bee06c499c0576da2531","abstract_canon_sha256":"70b02a7932cd4e62ef31e7977a9e3fa8b02e7f2c1b64114bf63adeb0b8bbe1d6"},"schema_version":"1.0"},"canonical_sha256":"e4ac773667e9b8ad60a6298d90b459bad17d3ae317da3bc5af528858528fcb5d","source":{"kind":"arxiv","id":"1112.3679","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3679","created_at":"2026-05-18T03:18:06Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3679v2","created_at":"2026-05-18T03:18:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3679","created_at":"2026-05-18T03:18:06Z"},{"alias_kind":"pith_short_12","alias_value":"4SWHONTH5G4K","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4SWHONTH5G4K2YFG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4SWHONTH","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4SWHONTH5G4K2YFGFGGZBNCZXL","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3679","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-15T21:41:41Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"69819921273c932ef2f45906982cafa898df6c27b0d7bee06c499c0576da2531","abstract_canon_sha256":"70b02a7932cd4e62ef31e7977a9e3fa8b02e7f2c1b64114bf63adeb0b8bbe1d6"},"schema_version":"1.0"},"canonical_sha256":"e4ac773667e9b8ad60a6298d90b459bad17d3ae317da3bc5af528858528fcb5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:06.493760Z","signature_b64":"jInw1o2svfSovFOuDtW1RTu2sGAbv9joRjpJbia62atzUz43toZz5eETFa1uVmU8LruYM+tCiJmTRYS7ERnjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4ac773667e9b8ad60a6298d90b459bad17d3ae317da3bc5af528858528fcb5d","last_reissued_at":"2026-05-18T03:18:06.493167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:06.493167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3679","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":"2026-05-18T03:18:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d863Ci8A74T1ThHR6YuTmgsjrjpV3SRrPQj2a3PkWBp4X1kFDPp0RffKzRqZUJ4o/JvpmGgOiHFauHFyC6y4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:59:38.119054Z"},"content_sha256":"d45b500351efe3b8d06934a2507544f0d98474d276dc7602b31542df73dd78aa","schema_version":"1.0","event_id":"sha256:d45b500351efe3b8d06934a2507544f0d98474d276dc7602b31542df73dd78aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4SWHONTH5G4K2YFGFGGZBNCZXL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conceptual inconsistencies in finite-dimensional quantum and classical mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Denys I. Bondar, Herschel A. Rabitz, Renan Cabrera","submitted_at":"2011-12-15T21:41:41Z","abstract_excerpt":"Utilizing operational dynamic modeling [Phys. Rev. Lett. 109, 190403 (2012); arXiv:1105.4014], we demonstrate that any finite-dimensional representation of quantum and classical dynamics violates the Ehrenfest theorems. Other peculiarities are also revealed, including the nonexistence of the free particle and ambiguity in defining potential forces. Non-Hermitian mechanics is shown to have the same problems. This work compromises a popular belief that finite-dimensional mechanics is a straightforward discretization of the corresponding infinite-dimensional formulation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3679","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":"2026-05-18T03:18:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ujLrRAEIZ5iO7s85gjU3zdr/tqfxuUzVBCCtBT1eUwvXs+QuMMQT/zq1xIgGdu2brzx8hqw4ZEDZRbvSU7kUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T03:59:38.119714Z"},"content_sha256":"907948d85157116d3966ee66c5269db7f92db8800e57dde45844436da19b1361","schema_version":"1.0","event_id":"sha256:907948d85157116d3966ee66c5269db7f92db8800e57dde45844436da19b1361"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SWHONTH5G4K2YFGFGGZBNCZXL/bundle.json","state_url":"https://pith.science/pith/4SWHONTH5G4K2YFGFGGZBNCZXL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SWHONTH5G4K2YFGFGGZBNCZXL/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":"2026-05-30T03:59:38Z","links":{"resolver":"https://pith.science/pith/4SWHONTH5G4K2YFGFGGZBNCZXL","bundle":"https://pith.science/pith/4SWHONTH5G4K2YFGFGGZBNCZXL/bundle.json","state":"https://pith.science/pith/4SWHONTH5G4K2YFGFGGZBNCZXL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SWHONTH5G4K2YFGFGGZBNCZXL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4SWHONTH5G4K2YFGFGGZBNCZXL","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":"70b02a7932cd4e62ef31e7977a9e3fa8b02e7f2c1b64114bf63adeb0b8bbe1d6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-15T21:41:41Z","title_canon_sha256":"69819921273c932ef2f45906982cafa898df6c27b0d7bee06c499c0576da2531"},"schema_version":"1.0","source":{"id":"1112.3679","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3679","created_at":"2026-05-18T03:18:06Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3679v2","created_at":"2026-05-18T03:18:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3679","created_at":"2026-05-18T03:18:06Z"},{"alias_kind":"pith_short_12","alias_value":"4SWHONTH5G4K","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4SWHONTH5G4K2YFG","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4SWHONTH","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:907948d85157116d3966ee66c5269db7f92db8800e57dde45844436da19b1361","target":"graph","created_at":"2026-05-18T03:18:06Z","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":"Utilizing operational dynamic modeling [Phys. Rev. Lett. 109, 190403 (2012); arXiv:1105.4014], we demonstrate that any finite-dimensional representation of quantum and classical dynamics violates the Ehrenfest theorems. Other peculiarities are also revealed, including the nonexistence of the free particle and ambiguity in defining potential forces. Non-Hermitian mechanics is shown to have the same problems. This work compromises a popular belief that finite-dimensional mechanics is a straightforward discretization of the corresponding infinite-dimensional formulation.","authors_text":"Denys I. Bondar, Herschel A. Rabitz, Renan Cabrera","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-15T21:41:41Z","title":"Conceptual inconsistencies in finite-dimensional quantum and classical mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3679","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:d45b500351efe3b8d06934a2507544f0d98474d276dc7602b31542df73dd78aa","target":"record","created_at":"2026-05-18T03:18:06Z","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":"70b02a7932cd4e62ef31e7977a9e3fa8b02e7f2c1b64114bf63adeb0b8bbe1d6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-12-15T21:41:41Z","title_canon_sha256":"69819921273c932ef2f45906982cafa898df6c27b0d7bee06c499c0576da2531"},"schema_version":"1.0","source":{"id":"1112.3679","kind":"arxiv","version":2}},"canonical_sha256":"e4ac773667e9b8ad60a6298d90b459bad17d3ae317da3bc5af528858528fcb5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4ac773667e9b8ad60a6298d90b459bad17d3ae317da3bc5af528858528fcb5d","first_computed_at":"2026-05-18T03:18:06.493167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:06.493167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jInw1o2svfSovFOuDtW1RTu2sGAbv9joRjpJbia62atzUz43toZz5eETFa1uVmU8LruYM+tCiJmTRYS7ERnjAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:06.493760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3679","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d45b500351efe3b8d06934a2507544f0d98474d276dc7602b31542df73dd78aa","sha256:907948d85157116d3966ee66c5269db7f92db8800e57dde45844436da19b1361"],"state_sha256":"83309e1d73fd6f628c32a1337e9542036c703042444b9d646e614333849342cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R5rhNow6H9HlWVj2NsGe3G+uWyMgDAUCwLHXSdVoQ2A0Cn3lBKQTF8h9+NsTpdGwFBCwybunGKF5c+CtOrHGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T03:59:38.122958Z","bundle_sha256":"d3337cc9c23df2ec43e1b1c6baec6397a98db3b6800be1bf96f7b6beb8c1be9a"}}