{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AVXPQOJQ64RLJFFOTWO7DBMLRM","short_pith_number":"pith:AVXPQOJQ","canonical_record":{"source":{"id":"1812.00873","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-03T16:33:44Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"bb0378ef6a60d4a3876de3d185027bc56bca0ae4425b3c6c20242c9e476c45ed","abstract_canon_sha256":"6af94da6afdbf3f45da1c7a207d14b9bf5384a76d87d64cedcc3fee5c7b2e1f4"},"schema_version":"1.0"},"canonical_sha256":"056ef83930f722b494ae9d9df1858b8b133a5b6209336c648e55898460b9bd4e","source":{"kind":"arxiv","id":"1812.00873","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.00873","created_at":"2026-05-17T23:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"1812.00873v2","created_at":"2026-05-17T23:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00873","created_at":"2026-05-17T23:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"AVXPQOJQ64RL","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AVXPQOJQ64RLJFFO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AVXPQOJQ","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AVXPQOJQ64RLJFFOTWO7DBMLRM","target":"record","payload":{"canonical_record":{"source":{"id":"1812.00873","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-03T16:33:44Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"bb0378ef6a60d4a3876de3d185027bc56bca0ae4425b3c6c20242c9e476c45ed","abstract_canon_sha256":"6af94da6afdbf3f45da1c7a207d14b9bf5384a76d87d64cedcc3fee5c7b2e1f4"},"schema_version":"1.0"},"canonical_sha256":"056ef83930f722b494ae9d9df1858b8b133a5b6209336c648e55898460b9bd4e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:02.813297Z","signature_b64":"Wm92syyEoTlyDw2x+V9seJAseEN7CCprYOXE7ZV0PhntD4nOxFvisLXQHWDrlwSM79AyImEayChcCCutdTVoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"056ef83930f722b494ae9d9df1858b8b133a5b6209336c648e55898460b9bd4e","last_reissued_at":"2026-05-17T23:49:02.812910Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:02.812910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.00873","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:49:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+pq59seRTieakr25dejBUQyYxwZs61CkHSWCr32mkxNLnQF73ifAlmKX8gJYrdFRWabUsg++8pP/cn4gWx2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:03:33.189972Z"},"content_sha256":"7fa062a2f4bce68535c8500b954765423ab194e5f259338fff96329db632c6a0","schema_version":"1.0","event_id":"sha256:7fa062a2f4bce68535c8500b954765423ab194e5f259338fff96329db632c6a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AVXPQOJQ64RLJFFOTWO7DBMLRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"F. Toppan, I. E. Cunha, N. Aizawa, Z. Kuznetsova","submitted_at":"2018-12-03T16:33:44Z","abstract_excerpt":"We investigate the dynamical symmetry superalgebras of the one-dimensional Matrix Superconformal Quantum Mechanics with inverse-square potential. They act as spectrum-generating superalgebras for the systems with the addition of the de Alfaro-Fubini-Furlan oscillator term. The undeformed quantum oscillators are expressed by $2^n\\times 2^n$ supermatrices; their corresponding spectrum-generating superalgebras are given by the $osp(2n|2)$ series. For $n=1$ the addition of a inverse-square potential does not break the $osp(2|2)$ spectrum-generating superalgebra. For $n=2$ two cases of inverse-squa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00873","kind":"arxiv","version":2},"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":"2026-05-17T23:49:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fuAKyHuNYzKMLYQ9ZSZ7S3qMfKiJIrszUoeNNdpulNVadnoDxFe8uxYU4aVzkmg/hDRSglZI5ttu03FNKmMYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:03:33.190327Z"},"content_sha256":"b547b4466771bf6dca86422310dff6fc749aced5b3b891d020603a08059b33a1","schema_version":"1.0","event_id":"sha256:b547b4466771bf6dca86422310dff6fc749aced5b3b891d020603a08059b33a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM/bundle.json","state_url":"https://pith.science/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM/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":"2026-05-21T09:03:33Z","links":{"resolver":"https://pith.science/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM","bundle":"https://pith.science/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM/bundle.json","state":"https://pith.science/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AVXPQOJQ64RLJFFOTWO7DBMLRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AVXPQOJQ64RLJFFOTWO7DBMLRM","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":"6af94da6afdbf3f45da1c7a207d14b9bf5384a76d87d64cedcc3fee5c7b2e1f4","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-03T16:33:44Z","title_canon_sha256":"bb0378ef6a60d4a3876de3d185027bc56bca0ae4425b3c6c20242c9e476c45ed"},"schema_version":"1.0","source":{"id":"1812.00873","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.00873","created_at":"2026-05-17T23:49:02Z"},{"alias_kind":"arxiv_version","alias_value":"1812.00873v2","created_at":"2026-05-17T23:49:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00873","created_at":"2026-05-17T23:49:02Z"},{"alias_kind":"pith_short_12","alias_value":"AVXPQOJQ64RL","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AVXPQOJQ64RLJFFO","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AVXPQOJQ","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:b547b4466771bf6dca86422310dff6fc749aced5b3b891d020603a08059b33a1","target":"graph","created_at":"2026-05-17T23:49:02Z","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 investigate the dynamical symmetry superalgebras of the one-dimensional Matrix Superconformal Quantum Mechanics with inverse-square potential. They act as spectrum-generating superalgebras for the systems with the addition of the de Alfaro-Fubini-Furlan oscillator term. The undeformed quantum oscillators are expressed by $2^n\\times 2^n$ supermatrices; their corresponding spectrum-generating superalgebras are given by the $osp(2n|2)$ series. For $n=1$ the addition of a inverse-square potential does not break the $osp(2|2)$ spectrum-generating superalgebra. For $n=2$ two cases of inverse-squa","authors_text":"F. Toppan, I. E. Cunha, N. Aizawa, Z. Kuznetsova","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-03T16:33:44Z","title":"On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00873","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":"sha256:7fa062a2f4bce68535c8500b954765423ab194e5f259338fff96329db632c6a0","target":"record","created_at":"2026-05-17T23:49:02Z","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":"6af94da6afdbf3f45da1c7a207d14b9bf5384a76d87d64cedcc3fee5c7b2e1f4","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-12-03T16:33:44Z","title_canon_sha256":"bb0378ef6a60d4a3876de3d185027bc56bca0ae4425b3c6c20242c9e476c45ed"},"schema_version":"1.0","source":{"id":"1812.00873","kind":"arxiv","version":2}},"canonical_sha256":"056ef83930f722b494ae9d9df1858b8b133a5b6209336c648e55898460b9bd4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"056ef83930f722b494ae9d9df1858b8b133a5b6209336c648e55898460b9bd4e","first_computed_at":"2026-05-17T23:49:02.812910Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:02.812910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wm92syyEoTlyDw2x+V9seJAseEN7CCprYOXE7ZV0PhntD4nOxFvisLXQHWDrlwSM79AyImEayChcCCutdTVoDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:02.813297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.00873","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fa062a2f4bce68535c8500b954765423ab194e5f259338fff96329db632c6a0","sha256:b547b4466771bf6dca86422310dff6fc749aced5b3b891d020603a08059b33a1"],"state_sha256":"f3b3a7e1fee25780ea65f10c8b33f4249cc0370740feff4e03e93234b608d0b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uVhe8RG7M44w02OBYGNiOcTar6XzDHwzV+iqmwfsnMUsaAK12XG+Zg3Bj0ehDyWAE441p9s0/mb4PSHE0zSjBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T09:03:33.192253Z","bundle_sha256":"f25e275e2abed291a8362939f89c73513430f5f6c5c7550e03fe7ded2717c33a"}}