{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:EQ7JMCFHLXRHG76KUV72OACTY2","short_pith_number":"pith:EQ7JMCFH","schema_version":"1.0","canonical_sha256":"243e9608a75de2737fcaa57fa70053c6a35e7cff1f6ca6dc0a9776b9754c1559","source":{"kind":"arxiv","id":"quant-ph/0103153","version":1},"attestation_state":"computed","paper":{"title":"Self-adjoint extensions of operators and the teaching of quantum mechanics","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Galliano Valent, Guy Bonneau, Jacques Faraut","submitted_at":"2001-03-28T13:32:21Z","abstract_excerpt":"For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint extensions and their spectra for the momentum and the Hamiltonian operators in different physical situations. Some consequences are worked out, which could lead to experimental checks."},"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/0103153","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-03-28T13:32:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"348fe067a06b9f28a8dbe52446f9525d367a6345480afc256d237ece9acae7c5","abstract_canon_sha256":"94a78dfadab667daf218c6bddb459011d3d48a93f09da389d982d2c2acdb23c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:28:56.627915Z","signature_b64":"z4x59BszSZKkRTX2LB8CB+rrjyDQHIrehoMGf1uMC/uSCnfFKB3cpwK7urJi52wc2GttjqyvdMz/g1t+sUooDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"243e9608a75de2737fcaa57fa70053c6a35e7cff1f6ca6dc0a9776b9754c1559","last_reissued_at":"2026-07-04T16:28:56.627518Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:28:56.627518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-adjoint extensions of operators and the teaching of quantum mechanics","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Galliano Valent, Guy Bonneau, Jacques Faraut","submitted_at":"2001-03-28T13:32:21Z","abstract_excerpt":"For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint extensions and their spectra for the momentum and the Hamiltonian operators in different physical situations. Some consequences are worked out, which could lead to experimental checks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0103153","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/quant-ph/0103153/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":"quant-ph/0103153","created_at":"2026-07-04T16:28:56.627574+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0103153v1","created_at":"2026-07-04T16:28:56.627574+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0103153","created_at":"2026-07-04T16:28:56.627574+00:00"},{"alias_kind":"pith_short_12","alias_value":"EQ7JMCFHLXRH","created_at":"2026-07-04T16:28:56.627574+00:00"},{"alias_kind":"pith_short_16","alias_value":"EQ7JMCFHLXRHG76K","created_at":"2026-07-04T16:28:56.627574+00:00"},{"alias_kind":"pith_short_8","alias_value":"EQ7JMCFH","created_at":"2026-07-04T16:28:56.627574+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2606.17163","citing_title":"Boundary conditions and Hilbert spaces in no-roll quantum cosmology","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2606.06019","citing_title":"Polymer quantum mechanics on compact configuration spaces","ref_index":75,"is_internal_anchor":true},{"citing_arxiv_id":"2502.08494","citing_title":"All Hilbert spaces are the same: consequences for generalized coordinates and momenta","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2","json":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2.json","graph_json":"https://pith.science/api/pith-number/EQ7JMCFHLXRHG76KUV72OACTY2/graph.json","events_json":"https://pith.science/api/pith-number/EQ7JMCFHLXRHG76KUV72OACTY2/events.json","paper":"https://pith.science/paper/EQ7JMCFH"},"agent_actions":{"view_html":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2","download_json":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2.json","view_paper":"https://pith.science/paper/EQ7JMCFH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0103153&json=true","fetch_graph":"https://pith.science/api/pith-number/EQ7JMCFHLXRHG76KUV72OACTY2/graph.json","fetch_events":"https://pith.science/api/pith-number/EQ7JMCFHLXRHG76KUV72OACTY2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2/action/storage_attestation","attest_author":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2/action/author_attestation","sign_citation":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2/action/citation_signature","submit_replication":"https://pith.science/pith/EQ7JMCFHLXRHG76KUV72OACTY2/action/replication_record"}},"created_at":"2026-07-04T16:28:56.627574+00:00","updated_at":"2026-07-04T16:28:56.627574+00:00"}