{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WVMUOSRKAFDT6NJYLGFVVZO2IQ","short_pith_number":"pith:WVMUOSRK","canonical_record":{"source":{"id":"1404.5256","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-21T17:57:46Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"1092f84ad4fabe5acb78e83fd41befa8b0e25343f643c0786699d2b42b179449","abstract_canon_sha256":"9fce77f16b658c315e308f8afde23e9d2060360bc6bf453682aa4a085c32e4f4"},"schema_version":"1.0"},"canonical_sha256":"b559474a2a01473f3538598b5ae5da4430316cc85fa9b66a437aec445d7e45ec","source":{"kind":"arxiv","id":"1404.5256","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5256","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5256v3","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5256","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"WVMUOSRKAFDT","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WVMUOSRKAFDT6NJY","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WVMUOSRK","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WVMUOSRKAFDT6NJYLGFVVZO2IQ","target":"record","payload":{"canonical_record":{"source":{"id":"1404.5256","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-21T17:57:46Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"1092f84ad4fabe5acb78e83fd41befa8b0e25343f643c0786699d2b42b179449","abstract_canon_sha256":"9fce77f16b658c315e308f8afde23e9d2060360bc6bf453682aa4a085c32e4f4"},"schema_version":"1.0"},"canonical_sha256":"b559474a2a01473f3538598b5ae5da4430316cc85fa9b66a437aec445d7e45ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:51.776736Z","signature_b64":"72akPAsRMNFIyGC1ky8eWI/acDqX60I0YVNgHbA4VaBWLiFT6eqJNHEazc9g2fkrPGiWouhsOnDVM0e4RvyKBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b559474a2a01473f3538598b5ae5da4430316cc85fa9b66a437aec445d7e45ec","last_reissued_at":"2026-05-18T02:18:51.776074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:51.776074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.5256","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EDfhZf0xja75NNin5bMbpZEJFt1yJliHHTUlMag8YbkNvOLiO1mLVhxHJ4LhWMyNEbdPoxJCcrX/RWJ/agcHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:49:38.329088Z"},"content_sha256":"89ac02953470f61a379c62e72477e4f5d45c5cd3b8c73fcb1d65a4548a9bd26e","schema_version":"1.0","event_id":"sha256:89ac02953470f61a379c62e72477e4f5d45c5cd3b8c73fcb1d65a4548a9bd26e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WVMUOSRKAFDT6NJYLGFVVZO2IQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near-Dirichlet quantum dynamics for a $p^3$-corrected particle on an interval","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Jorma Louko","submitted_at":"2014-04-21T17:57:46Z","abstract_excerpt":"We study a nonrelativistic quantum mechanical particle on an interval of finite length with a Hamiltonian that has a $p^3$ correction term, modelling potential low energy quantum gravity effects. We describe explicitly the $U(3)$ family of the self-adjoint extensions of the Hamiltonian and discuss several subfamilies of interest. As the main result, we find a family of self-adjoint Hamiltonians, indexed by four continuous parameters and one binary parameter, whose spectrum and eigenfunctions are perturbatively close to those of the uncorrected particle with Dirichlet boundary conditions, even "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5256","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XCTinSIUTn9eyltbcFzO+YR2hlRMAO7aRi23mHKsM7SjTg5KCCSEpVcPjVYROMnlK2ppiEwKbgmjSroZZNmDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:49:38.329465Z"},"content_sha256":"15c6df0fbf176c496fa8ff8a4ab14dbe8edddda0cbeb7b1c52333be26e9d7849","schema_version":"1.0","event_id":"sha256:15c6df0fbf176c496fa8ff8a4ab14dbe8edddda0cbeb7b1c52333be26e9d7849"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ/bundle.json","state_url":"https://pith.science/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T00:49:38Z","links":{"resolver":"https://pith.science/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ","bundle":"https://pith.science/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ/bundle.json","state":"https://pith.science/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WVMUOSRKAFDT6NJYLGFVVZO2IQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WVMUOSRKAFDT6NJYLGFVVZO2IQ","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":"9fce77f16b658c315e308f8afde23e9d2060360bc6bf453682aa4a085c32e4f4","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-21T17:57:46Z","title_canon_sha256":"1092f84ad4fabe5acb78e83fd41befa8b0e25343f643c0786699d2b42b179449"},"schema_version":"1.0","source":{"id":"1404.5256","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5256","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5256v3","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5256","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"WVMUOSRKAFDT","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WVMUOSRKAFDT6NJY","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WVMUOSRK","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:15c6df0fbf176c496fa8ff8a4ab14dbe8edddda0cbeb7b1c52333be26e9d7849","target":"graph","created_at":"2026-05-18T02:18:51Z","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 study a nonrelativistic quantum mechanical particle on an interval of finite length with a Hamiltonian that has a $p^3$ correction term, modelling potential low energy quantum gravity effects. We describe explicitly the $U(3)$ family of the self-adjoint extensions of the Hamiltonian and discuss several subfamilies of interest. As the main result, we find a family of self-adjoint Hamiltonians, indexed by four continuous parameters and one binary parameter, whose spectrum and eigenfunctions are perturbatively close to those of the uncorrected particle with Dirichlet boundary conditions, even ","authors_text":"Jorma Louko","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-21T17:57:46Z","title":"Near-Dirichlet quantum dynamics for a $p^3$-corrected particle on an interval"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5256","kind":"arxiv","version":3},"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":"sha256:89ac02953470f61a379c62e72477e4f5d45c5cd3b8c73fcb1d65a4548a9bd26e","target":"record","created_at":"2026-05-18T02:18:51Z","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":"9fce77f16b658c315e308f8afde23e9d2060360bc6bf453682aa4a085c32e4f4","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-21T17:57:46Z","title_canon_sha256":"1092f84ad4fabe5acb78e83fd41befa8b0e25343f643c0786699d2b42b179449"},"schema_version":"1.0","source":{"id":"1404.5256","kind":"arxiv","version":3}},"canonical_sha256":"b559474a2a01473f3538598b5ae5da4430316cc85fa9b66a437aec445d7e45ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b559474a2a01473f3538598b5ae5da4430316cc85fa9b66a437aec445d7e45ec","first_computed_at":"2026-05-18T02:18:51.776074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:51.776074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"72akPAsRMNFIyGC1ky8eWI/acDqX60I0YVNgHbA4VaBWLiFT6eqJNHEazc9g2fkrPGiWouhsOnDVM0e4RvyKBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:51.776736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5256","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89ac02953470f61a379c62e72477e4f5d45c5cd3b8c73fcb1d65a4548a9bd26e","sha256:15c6df0fbf176c496fa8ff8a4ab14dbe8edddda0cbeb7b1c52333be26e9d7849"],"state_sha256":"d5f5e526ef6a97bc8e78933948e032cd25738a5d759854bb8548964e63587c51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rm9Sy59e+Anhe7QHtnR6Bm7RjG805UBzZRm8hJhb+HOc5ryo3WvHb97Y/I3+y0jK7MIE6/VSoRG3PzN4TxJFDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T00:49:38.332596Z","bundle_sha256":"9980bebf01e5b733885971491db61761fc2ea68a03347461dc0b467b5032d1b4"}}