{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:2276UPHLPR7HLPD5ETMF5BXIW7","short_pith_number":"pith:2276UPHL","schema_version":"1.0","canonical_sha256":"d6bfea3ceb7c7e75bc7d24d85e86e8b7d9111f1213d81eb4c39e5d3e03088344","source":{"kind":"arxiv","id":"quant-ph/0310040","version":1},"attestation_state":"computed","paper":{"title":"Long time Evolution of Quantum Averages Near Stationary Points","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gennady Berman, Misha Vishik","submitted_at":"2003-10-06T15:51:59Z","abstract_excerpt":"We construct explicit expressions for quantum averages in coherent states for a Hamiltonian of degree 4 with a hyperbolic stagnation point. These expressions are valid for all times and \"collapse\" (i.e., become infinite) along a discrete sequence of times. We compute quantum corrections compared to classical expressions. These corrections become significant over a time period of order C log 1/\\hbar."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"quant-ph/0310040","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2003-10-06T15:51:59Z","cross_cats_sorted":[],"title_canon_sha256":"f984dbd4e5f714faab29936ff8450e81af8db5adb7147a3e44e3122eb6e08dc3","abstract_canon_sha256":"87d11df3d18014853a7f2dd7093969ea74f242fc4edc19f7b305ecf976da0f75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:59.069545Z","signature_b64":"Wm0uXrUh8FlavZVBkHjPPS8QjP5+BNgTGpvqiMWRrLykoAtAuOi+Bow3jyYrcDoEKXaVikZD2j8KUqzu56vSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6bfea3ceb7c7e75bc7d24d85e86e8b7d9111f1213d81eb4c39e5d3e03088344","last_reissued_at":"2026-05-18T01:37:59.068925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:59.068925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long time Evolution of Quantum Averages Near Stationary Points","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gennady Berman, Misha Vishik","submitted_at":"2003-10-06T15:51:59Z","abstract_excerpt":"We construct explicit expressions for quantum averages in coherent states for a Hamiltonian of degree 4 with a hyperbolic stagnation point. These expressions are valid for all times and \"collapse\" (i.e., become infinite) along a discrete sequence of times. We compute quantum corrections compared to classical expressions. These corrections become significant over a time period of order C log 1/\\hbar."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0310040","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0310040","created_at":"2026-05-18T01:37:59.069003+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0310040v1","created_at":"2026-05-18T01:37:59.069003+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0310040","created_at":"2026-05-18T01:37:59.069003+00:00"},{"alias_kind":"pith_short_12","alias_value":"2276UPHLPR7H","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"2276UPHLPR7HLPD5","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"2276UPHL","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7","json":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7.json","graph_json":"https://pith.science/api/pith-number/2276UPHLPR7HLPD5ETMF5BXIW7/graph.json","events_json":"https://pith.science/api/pith-number/2276UPHLPR7HLPD5ETMF5BXIW7/events.json","paper":"https://pith.science/paper/2276UPHL"},"agent_actions":{"view_html":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7","download_json":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7.json","view_paper":"https://pith.science/paper/2276UPHL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0310040&json=true","fetch_graph":"https://pith.science/api/pith-number/2276UPHLPR7HLPD5ETMF5BXIW7/graph.json","fetch_events":"https://pith.science/api/pith-number/2276UPHLPR7HLPD5ETMF5BXIW7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7/action/storage_attestation","attest_author":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7/action/author_attestation","sign_citation":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7/action/citation_signature","submit_replication":"https://pith.science/pith/2276UPHLPR7HLPD5ETMF5BXIW7/action/replication_record"}},"created_at":"2026-05-18T01:37:59.069003+00:00","updated_at":"2026-05-18T01:37:59.069003+00:00"}