{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LWBP3Z3QY73SLU25377L6RDTKV","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":"405301cd73618d3c2d77c099f287336fac3d8f90cf5b63faad2945a6c94719f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-12T06:26:48Z","title_canon_sha256":"4e0fac76e2f118bdefc6f9d40cf131b7890eef7d356c518a31f2841abcce92fe"},"schema_version":"1.0","source":{"id":"1403.2824","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2824","created_at":"2026-05-18T01:44:02Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2824v2","created_at":"2026-05-18T01:44:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2824","created_at":"2026-05-18T01:44:02Z"},{"alias_kind":"pith_short_12","alias_value":"LWBP3Z3QY73S","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LWBP3Z3QY73SLU25","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LWBP3Z3Q","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:a57b99b538ac6e01239d4a741dfbe1b39a5a8a29cecd39aa698c7212a0babd0d","target":"graph","created_at":"2026-05-18T01:44:02Z","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 point out two interesting features of position-momentum uncertainty product: $U=\\Delta x \\Delta p$. We show that two special (non-differentiable) eigenstates of the Schr{\\\"o}dinger operator with the Dirac Delta potential $[V(x)=-V_0 \\delta(x)],V_0>0$, also satisfy the Heisenberg's uncertainty principle by yielding $U> \\frac{\\hbar}{2}$. One of these eigenstates is a zero-energy and zero-curvature bound state.","authors_text":"Indresh Yadav, Zafar Ahmed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-12T06:26:48Z","title":"Position-momentum uncertainty products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2824","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":"sha256:3bafa918c21ff9e44c2772df576174bf91dc0b6467d7c4897c305c37b089a253","target":"record","created_at":"2026-05-18T01:44:02Z","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":"405301cd73618d3c2d77c099f287336fac3d8f90cf5b63faad2945a6c94719f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-03-12T06:26:48Z","title_canon_sha256":"4e0fac76e2f118bdefc6f9d40cf131b7890eef7d356c518a31f2841abcce92fe"},"schema_version":"1.0","source":{"id":"1403.2824","kind":"arxiv","version":2}},"canonical_sha256":"5d82fde770c7f725d35ddffebf4473554fc47535dbc464b94f738cc1b626760f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d82fde770c7f725d35ddffebf4473554fc47535dbc464b94f738cc1b626760f","first_computed_at":"2026-05-18T01:44:02.295989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:02.295989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H0sHkaSoiync6JmZx4QHdukEsy3e6fYdY9w1QlIISsEoNIVjhbEM8PiSv52LjjFxc4x+94ny8t642hYREkuFDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:02.296603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2824","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bafa918c21ff9e44c2772df576174bf91dc0b6467d7c4897c305c37b089a253","sha256:a57b99b538ac6e01239d4a741dfbe1b39a5a8a29cecd39aa698c7212a0babd0d"],"state_sha256":"2a1c2d81d2ec4c8ac0a91b9830ecfc66b347b00bbaaca4c308d8ea36d2f3cf4e"}