{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ORYDJ5Z63AU6B7NARYOR4OAX3J","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":"717bc0745902002e74cdac337c51edde435ad6d2d09723d20974fa787e36a8c2","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-15T17:51:22Z","title_canon_sha256":"eb6acefbf1362579aadb6b165a7cfc86aded9b93f8eb0ae71b6c0378ac7e4e70"},"schema_version":"1.0","source":{"id":"1608.04344","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.04344","created_at":"2026-05-18T00:50:19Z"},{"alias_kind":"arxiv_version","alias_value":"1608.04344v2","created_at":"2026-05-18T00:50:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.04344","created_at":"2026-05-18T00:50:19Z"},{"alias_kind":"pith_short_12","alias_value":"ORYDJ5Z63AU6","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"ORYDJ5Z63AU6B7NA","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"ORYDJ5Z6","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:557e35ffee74610d5c77835bf03c9ca47401853dee15dde6cf01dd434eb3e26d","target":"graph","created_at":"2026-05-18T00:50:19Z","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 prove that a solution of the Schr\\\"odinger-type equation $\\mathrm{i}\\partial_t u= Hu$, where $H$ is a Jacobi operator with asymptotically constant coefficients, cannot decay too fast at two different times unless it is trivial.","authors_text":"Gerald Teschl, Isaac Alvarez-Romero","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-15T17:51:22Z","title":"A Dynamic Uncertainty Principle for Jacobi Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04344","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":"sha256:01aea9209127fbf828e022480e4530c8264273cc82a8e07059006c832956ac0e","target":"record","created_at":"2026-05-18T00:50:19Z","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":"717bc0745902002e74cdac337c51edde435ad6d2d09723d20974fa787e36a8c2","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-15T17:51:22Z","title_canon_sha256":"eb6acefbf1362579aadb6b165a7cfc86aded9b93f8eb0ae71b6c0378ac7e4e70"},"schema_version":"1.0","source":{"id":"1608.04344","kind":"arxiv","version":2}},"canonical_sha256":"747034f73ed829e0fda08e1d1e3817da56737eb43ee5e58574755c7afbabc7e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"747034f73ed829e0fda08e1d1e3817da56737eb43ee5e58574755c7afbabc7e5","first_computed_at":"2026-05-18T00:50:19.460048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:19.460048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nkl8lDclbg/6VrgebW8d/2HaiOVfDNM5yA23zJBa4643bErLIqFW3F4vPO2P90NngW6wDbW2aUf2iRdOXMsXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:19.460669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.04344","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01aea9209127fbf828e022480e4530c8264273cc82a8e07059006c832956ac0e","sha256:557e35ffee74610d5c77835bf03c9ca47401853dee15dde6cf01dd434eb3e26d"],"state_sha256":"5f3862f16437b8acf455ea36f94415ef75516083eeff967190e5d49623a83497"}