{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:QQNWGON5QGRQ3G3GOZN3KQDQEZ","short_pith_number":"pith:QQNWGON5","canonical_record":{"source":{"id":"quant-ph/9711007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1997-11-08T11:56:39Z","cross_cats_sorted":["cond-mat","math-ph","math.MP","nucl-th","physics.atm-clus","physics.atom-ph","physics.chem-ph"],"title_canon_sha256":"07e2081e78002972646f864d409839c59f50d32165619e81799c0599dd8daa60","abstract_canon_sha256":"c6c7eed17824afe95569dedde2d89d3917f6ec04d0c6c7025df31bcf7e8e4257"},"schema_version":"1.0"},"canonical_sha256":"841b6339bd81a30d9b66765bb540702675465cb6ed91e8a89a7953ef693bc26f","source":{"kind":"arxiv","id":"quant-ph/9711007","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9711007","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9711007v1","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9711007","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"QQNWGON5QGRQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"QQNWGON5QGRQ3G3G","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"QQNWGON5","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:QQNWGON5QGRQ3G3GOZN3KQDQEZ","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/9711007","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"1997-11-08T11:56:39Z","cross_cats_sorted":["cond-mat","math-ph","math.MP","nucl-th","physics.atm-clus","physics.atom-ph","physics.chem-ph"],"title_canon_sha256":"07e2081e78002972646f864d409839c59f50d32165619e81799c0599dd8daa60","abstract_canon_sha256":"c6c7eed17824afe95569dedde2d89d3917f6ec04d0c6c7025df31bcf7e8e4257"},"schema_version":"1.0"},"canonical_sha256":"841b6339bd81a30d9b66765bb540702675465cb6ed91e8a89a7953ef693bc26f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:00.604272Z","signature_b64":"KJP2hSlgO4SLzNMMEgVo8w5xJwBzp0HsXGYkvD4hiO5yChjMvxbAE3dbVwZoGCqktqqwozbw8q4t+81tr7wpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"841b6339bd81a30d9b66765bb540702675465cb6ed91e8a89a7953ef693bc26f","last_reissued_at":"2026-05-18T01:05:00.603826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:00.603826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/9711007","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nghaPkgn8QtAJtemDSzaaMg+guhTmGtrC42PXif73AyQHL0WnGxbhyH8iZ7bdaL2zTAzd+ARXX0Bo286rRoxDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:55:48.688729Z"},"content_sha256":"8ac29eb31210b85d3049f55c148d4936ebf6fc999b68ae99a04deab655c3867c","schema_version":"1.0","event_id":"sha256:8ac29eb31210b85d3049f55c148d4936ebf6fc999b68ae99a04deab655c3867c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:QQNWGON5QGRQ3G3GOZN3KQDQEZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetries in nuclear, atomic and molecular spectroscopy","license":"","headline":"","cross_cats":["cond-mat","math-ph","math.MP","nucl-th","physics.atm-clus","physics.atom-ph","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Maurice Kibler","submitted_at":"1997-11-08T11:56:39Z","abstract_excerpt":"This paper addresses the three following questions. (i) How the structures of group and of chain of groups enter nuclear, atomic and molecular spectroscopy? (ii) How these structures can be exploited, in a quantum- mechanical framework, in the problems of state labelling and (external) symmetry breaking? (iii) How it is possible to associate a Wigner-Racah algebra to a group or a chain of groups for making easier the calculation of quantum-mechanical matrix elements? Numerous examples illustrate the philosophy of qualitative and quantitative applications to spectroscopy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9711007","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":""},"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":"2026-05-18T01:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7kXAWPjNmAxNvHwOCP6NZVV6qEHnp8SQqL0hRsBkADi927Ph0TKpqG6//lXjR/7tk7IJRzoU68bpFLQKkAFNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:55:48.689336Z"},"content_sha256":"f667768181002ad0ea7188e8722c60519afd9404ca2fbf79b63e1b6b0a5f335b","schema_version":"1.0","event_id":"sha256:f667768181002ad0ea7188e8722c60519afd9404ca2fbf79b63e1b6b0a5f335b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ/bundle.json","state_url":"https://pith.science/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ/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":"2026-06-09T07:55:48Z","links":{"resolver":"https://pith.science/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ","bundle":"https://pith.science/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ/bundle.json","state":"https://pith.science/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQNWGON5QGRQ3G3GOZN3KQDQEZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:QQNWGON5QGRQ3G3GOZN3KQDQEZ","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":"c6c7eed17824afe95569dedde2d89d3917f6ec04d0c6c7025df31bcf7e8e4257","cross_cats_sorted":["cond-mat","math-ph","math.MP","nucl-th","physics.atm-clus","physics.atom-ph","physics.chem-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"1997-11-08T11:56:39Z","title_canon_sha256":"07e2081e78002972646f864d409839c59f50d32165619e81799c0599dd8daa60"},"schema_version":"1.0","source":{"id":"quant-ph/9711007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/9711007","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/9711007v1","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/9711007","created_at":"2026-05-18T01:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"QQNWGON5QGRQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"QQNWGON5QGRQ3G3G","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"QQNWGON5","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:f667768181002ad0ea7188e8722c60519afd9404ca2fbf79b63e1b6b0a5f335b","target":"graph","created_at":"2026-05-18T01:05:00Z","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":"This paper addresses the three following questions. (i) How the structures of group and of chain of groups enter nuclear, atomic and molecular spectroscopy? (ii) How these structures can be exploited, in a quantum- mechanical framework, in the problems of state labelling and (external) symmetry breaking? (iii) How it is possible to associate a Wigner-Racah algebra to a group or a chain of groups for making easier the calculation of quantum-mechanical matrix elements? Numerous examples illustrate the philosophy of qualitative and quantitative applications to spectroscopy.","authors_text":"Maurice Kibler","cross_cats":["cond-mat","math-ph","math.MP","nucl-th","physics.atm-clus","physics.atom-ph","physics.chem-ph"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"1997-11-08T11:56:39Z","title":"Symmetries in nuclear, atomic and molecular spectroscopy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9711007","kind":"arxiv","version":1},"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":"sha256:8ac29eb31210b85d3049f55c148d4936ebf6fc999b68ae99a04deab655c3867c","target":"record","created_at":"2026-05-18T01:05:00Z","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":"c6c7eed17824afe95569dedde2d89d3917f6ec04d0c6c7025df31bcf7e8e4257","cross_cats_sorted":["cond-mat","math-ph","math.MP","nucl-th","physics.atm-clus","physics.atom-ph","physics.chem-ph"],"license":"","primary_cat":"quant-ph","submitted_at":"1997-11-08T11:56:39Z","title_canon_sha256":"07e2081e78002972646f864d409839c59f50d32165619e81799c0599dd8daa60"},"schema_version":"1.0","source":{"id":"quant-ph/9711007","kind":"arxiv","version":1}},"canonical_sha256":"841b6339bd81a30d9b66765bb540702675465cb6ed91e8a89a7953ef693bc26f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"841b6339bd81a30d9b66765bb540702675465cb6ed91e8a89a7953ef693bc26f","first_computed_at":"2026-05-18T01:05:00.603826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:00.603826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KJP2hSlgO4SLzNMMEgVo8w5xJwBzp0HsXGYkvD4hiO5yChjMvxbAE3dbVwZoGCqktqqwozbw8q4t+81tr7wpDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:00.604272Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/9711007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ac29eb31210b85d3049f55c148d4936ebf6fc999b68ae99a04deab655c3867c","sha256:f667768181002ad0ea7188e8722c60519afd9404ca2fbf79b63e1b6b0a5f335b"],"state_sha256":"01988f34e0b4be74479179a4fa990b9e6afc782d7c03978b0ac8e658cf86a869"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KEGDtlIw6tGkehUp83tlbFUJTPtH1vUZRds10nC0OhYOQTYzLhCXd07MHn0fmVTyB2aFZpv6IvkfUdyKvBzAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:55:48.694270Z","bundle_sha256":"d6b2076bc1360c0ec8113c94f2fce7405afa3c47705a700c2145ceae55eca4b7"}}