{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:IPXPOOOPK7IONGIAHZGC7DMMF6","short_pith_number":"pith:IPXPOOOP","schema_version":"1.0","canonical_sha256":"43eef739cf57d0e699003e4c2f8d8c2f8f732c6322a9cc42506550be3f125f9d","source":{"kind":"arxiv","id":"2412.08721","version":1},"attestation_state":"computed","paper":{"title":"Bootstrapping time-evolution in quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Brian McPeak, Duff Neill, Scott Lawrence","submitted_at":"2024-12-11T19:00:04Z","abstract_excerpt":"We present a method for obtaining a hierarchy of rigorous bounds on the time-evolution of a quantum mechanical system from an arbitrary initial state, systematically generalizing Mandelstam-Tamm-like relations. For any fixed level in the hierarchy, the bounds are tightest after short time-evolution and gradually loosen over time; we present evidence that for any fixed amount of time-evolution, the bounds can be made arbitrarily tight by moving up in the hierarchy. The computational effort to obtain the bounds scales polynomially with the number of degrees of freedom in the system being simulat"},"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":"2412.08721","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-11T19:00:04Z","cross_cats_sorted":["hep-lat","quant-ph"],"title_canon_sha256":"3c0f4a344801aee812fc7ca492bfa863691ab58fc07baa2f11e04c68fea5e468","abstract_canon_sha256":"489c9e84e39cf4ee8c1144f9dd7ddbd29a604a90ed305654645f9fb7e595b3df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:47:59.457395Z","signature_b64":"qVEVZSHqdP/ocLEdEKsSQ3ey0umODDqGz5xjpO+Bfm5kXU81Baf6wDPKTeSFwR3XfEPdBjyLLXJcVg8S218xCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43eef739cf57d0e699003e4c2f8d8c2f8f732c6322a9cc42506550be3f125f9d","last_reissued_at":"2026-07-05T09:47:59.456930Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:47:59.456930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrapping time-evolution in quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Brian McPeak, Duff Neill, Scott Lawrence","submitted_at":"2024-12-11T19:00:04Z","abstract_excerpt":"We present a method for obtaining a hierarchy of rigorous bounds on the time-evolution of a quantum mechanical system from an arbitrary initial state, systematically generalizing Mandelstam-Tamm-like relations. For any fixed level in the hierarchy, the bounds are tightest after short time-evolution and gradually loosen over time; we present evidence that for any fixed amount of time-evolution, the bounds can be made arbitrarily tight by moving up in the hierarchy. The computational effort to obtain the bounds scales polynomially with the number of degrees of freedom in the system being simulat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.08721","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.08721/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2412.08721","created_at":"2026-07-05T09:47:59.456986+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.08721v1","created_at":"2026-07-05T09:47:59.456986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.08721","created_at":"2026-07-05T09:47:59.456986+00:00"},{"alias_kind":"pith_short_12","alias_value":"IPXPOOOPK7IO","created_at":"2026-07-05T09:47:59.456986+00:00"},{"alias_kind":"pith_short_16","alias_value":"IPXPOOOPK7IONGIA","created_at":"2026-07-05T09:47:59.456986+00:00"},{"alias_kind":"pith_short_8","alias_value":"IPXPOOOP","created_at":"2026-07-05T09:47:59.456986+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12060","citing_title":"The quantum harmonic oscillator and the real Hilbert space","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2605.27807","citing_title":"Light nuclear scattering from neural quantum states","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2605.30536","citing_title":"Ambiguity problem of the Bootstrap Method in Quantum Mechanics","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20509","citing_title":"The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17139","citing_title":"Stable minimum principles for scattering states","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2511.08560","citing_title":"Bootstrapping Euclidean Two-point Correlators","ref_index":18,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6","json":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6.json","graph_json":"https://pith.science/api/pith-number/IPXPOOOPK7IONGIAHZGC7DMMF6/graph.json","events_json":"https://pith.science/api/pith-number/IPXPOOOPK7IONGIAHZGC7DMMF6/events.json","paper":"https://pith.science/paper/IPXPOOOP"},"agent_actions":{"view_html":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6","download_json":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6.json","view_paper":"https://pith.science/paper/IPXPOOOP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.08721&json=true","fetch_graph":"https://pith.science/api/pith-number/IPXPOOOPK7IONGIAHZGC7DMMF6/graph.json","fetch_events":"https://pith.science/api/pith-number/IPXPOOOPK7IONGIAHZGC7DMMF6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6/action/storage_attestation","attest_author":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6/action/author_attestation","sign_citation":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6/action/citation_signature","submit_replication":"https://pith.science/pith/IPXPOOOPK7IONGIAHZGC7DMMF6/action/replication_record"}},"created_at":"2026-07-05T09:47:59.456986+00:00","updated_at":"2026-07-05T09:47:59.456986+00:00"}