{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:2AKP533EPCNHDNPZ4WBGZV2KN3","short_pith_number":"pith:2AKP533E","canonical_record":{"source":{"id":"nucl-th/0312120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2003-12-29T10:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"8932eb1ed572ba97f90b0a398737981dbb0cb42425110b070d6782da5ebfb863","abstract_canon_sha256":"b58b26f5478d10b5e687cc4f7c38b656dc6dc365cc1332bdbb92d127759c0e7a"},"schema_version":"1.0"},"canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","source":{"kind":"arxiv","id":"nucl-th/0312120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0312120","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0312120v1","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0312120","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"2AKP533EPCNH","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"2AKP533EPCNHDNPZ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"2AKP533E","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:2AKP533EPCNHDNPZ4WBGZV2KN3","target":"record","payload":{"canonical_record":{"source":{"id":"nucl-th/0312120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"2003-12-29T10:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"8932eb1ed572ba97f90b0a398737981dbb0cb42425110b070d6782da5ebfb863","abstract_canon_sha256":"b58b26f5478d10b5e687cc4f7c38b656dc6dc365cc1332bdbb92d127759c0e7a"},"schema_version":"1.0"},"canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:19.472675Z","signature_b64":"QxjE4e0gfhErrYkFiO4oAWiQo6jH+BH3oiGZyejM+i1oAObkowYMhAS15Dtfx1cmnCEbotVr++YPCNO0FjFBAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","last_reissued_at":"2026-05-18T01:05:19.472246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:19.472246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nucl-th/0312120","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":"2026-05-18T01:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ze1s5O+hVoZdrNKo0h9I/gyRdgSFjnNeNseW3is0W9yYaPOyVDYVQeNSjCqFmmms+zsW9hhhqdB3f2bhodMqCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:37.452752Z"},"content_sha256":"929a267beb31831d4b11b682e8f2c816c34a8c58a72cc08ecb595afd3916fd91","schema_version":"1.0","event_id":"sha256:929a267beb31831d4b11b682e8f2c816c34a8c58a72cc08ecb595afd3916fd91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:2AKP533EPCNHDNPZ4WBGZV2KN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Dennis Bonatsos, D. Lenis, N. Minkov, P. A. Terziev, P. P. Raychev","submitted_at":"2003-12-29T10:03:52Z","abstract_excerpt":"It is proved that the potentials of the form $\\beta^{2n}$ (with $n$ being integer) provide a ``bridge'' between the U(5) symmetry of the Bohr Hamiltonian with a harmonic oscillator potential (occuring for $n=1$) and the E(5) model of Iachello (Bohr Hamiltonian with an infinite well potential, materialized for infinite $n$). Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are given for the potentials $\\beta^4$, $\\beta^6$, $\\beta^8$, corresponding to $R_4=E(4)/E(2)$ ratios of 2.093, 2.135, 2.157 respectively, compared to the $R_4$ ratios 2.000 of U"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0312120","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":"2026-05-18T01:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nUIJDmxvAhQTQoUCkP9V5zs/xe1L/+ChTJDzxo2wxBwyRaaNzpxR03CL4My/Cc44VD1TYkXQYaLFsQJv0/IPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:37.453097Z"},"content_sha256":"b15f4fce46bd738abf1c3843bbd57eb3c6226368d65fe4f224230b80aad7a756","schema_version":"1.0","event_id":"sha256:b15f4fce46bd738abf1c3843bbd57eb3c6226368d65fe4f224230b80aad7a756"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/bundle.json","state_url":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/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":"2026-06-03T16:34:37Z","links":{"resolver":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3","bundle":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/bundle.json","state":"https://pith.science/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2AKP533EPCNHDNPZ4WBGZV2KN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:2AKP533EPCNHDNPZ4WBGZV2KN3","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":"b58b26f5478d10b5e687cc4f7c38b656dc6dc365cc1332bdbb92d127759c0e7a","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2003-12-29T10:03:52Z","title_canon_sha256":"8932eb1ed572ba97f90b0a398737981dbb0cb42425110b070d6782da5ebfb863"},"schema_version":"1.0","source":{"id":"nucl-th/0312120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nucl-th/0312120","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/0312120v1","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/0312120","created_at":"2026-05-18T01:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"2AKP533EPCNH","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"2AKP533EPCNHDNPZ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"2AKP533E","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:b15f4fce46bd738abf1c3843bbd57eb3c6226368d65fe4f224230b80aad7a756","target":"graph","created_at":"2026-05-18T01:05:19Z","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":"It is proved that the potentials of the form $\\beta^{2n}$ (with $n$ being integer) provide a ``bridge'' between the U(5) symmetry of the Bohr Hamiltonian with a harmonic oscillator potential (occuring for $n=1$) and the E(5) model of Iachello (Bohr Hamiltonian with an infinite well potential, materialized for infinite $n$). Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are given for the potentials $\\beta^4$, $\\beta^6$, $\\beta^8$, corresponding to $R_4=E(4)/E(2)$ ratios of 2.093, 2.135, 2.157 respectively, compared to the $R_4$ ratios 2.000 of U","authors_text":"Dennis Bonatsos, D. Lenis, N. Minkov, P. A. Terziev, P. P. Raychev","cross_cats":[],"headline":"","license":"","primary_cat":"nucl-th","submitted_at":"2003-12-29T10:03:52Z","title":"Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/0312120","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":"sha256:929a267beb31831d4b11b682e8f2c816c34a8c58a72cc08ecb595afd3916fd91","target":"record","created_at":"2026-05-18T01:05:19Z","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":"b58b26f5478d10b5e687cc4f7c38b656dc6dc365cc1332bdbb92d127759c0e7a","cross_cats_sorted":[],"license":"","primary_cat":"nucl-th","submitted_at":"2003-12-29T10:03:52Z","title_canon_sha256":"8932eb1ed572ba97f90b0a398737981dbb0cb42425110b070d6782da5ebfb863"},"schema_version":"1.0","source":{"id":"nucl-th/0312120","kind":"arxiv","version":1}},"canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d014feef64789a71b5f9e5826cd74a6ee3de1dd61d007fbb6c97de38e9af6df2","first_computed_at":"2026-05-18T01:05:19.472246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:19.472246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QxjE4e0gfhErrYkFiO4oAWiQo6jH+BH3oiGZyejM+i1oAObkowYMhAS15Dtfx1cmnCEbotVr++YPCNO0FjFBAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:19.472675Z","signed_message":"canonical_sha256_bytes"},"source_id":"nucl-th/0312120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:929a267beb31831d4b11b682e8f2c816c34a8c58a72cc08ecb595afd3916fd91","sha256:b15f4fce46bd738abf1c3843bbd57eb3c6226368d65fe4f224230b80aad7a756"],"state_sha256":"d923931ef660bf361a9e6eae495d1ae87ef6252f20b6294c9953c801c6603509"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sr8Uc+NPND1FEVG/9OL5uKr4Qd2pdw1lB1x7eUPwRxIxh1IaqWpasCOxiUNP1JY+dwiKnB3svG9tER9nyCdWDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:34:37.455114Z","bundle_sha256":"52f901a1e29a691da4b35b202ef14eeeed6d7ad4bad09d0a403ffcc9811e5309"}}