{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3YDZ5FM4JR7VWH3H4NGOMRU6NT","short_pith_number":"pith:3YDZ5FM4","canonical_record":{"source":{"id":"1708.06321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-08-21T16:47:43Z","cross_cats_sorted":["nucl-ex","quant-ph"],"title_canon_sha256":"2ff60c4d199edf0ef47617f640beaaa98b45a2c028ff02176f36662fd85b9e46","abstract_canon_sha256":"76aea13bcaa8131f533e7a3d45fcaba0cefd3db493d9317293940386f057947f"},"schema_version":"1.0"},"canonical_sha256":"de079e959c4c7f5b1f67e34ce6469e6cc483d0ed405e9aabbc96eda22f932d9e","source":{"kind":"arxiv","id":"1708.06321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06321","created_at":"2026-05-18T00:30:27Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06321v1","created_at":"2026-05-18T00:30:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06321","created_at":"2026-05-18T00:30:27Z"},{"alias_kind":"pith_short_12","alias_value":"3YDZ5FM4JR7V","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3YDZ5FM4JR7VWH3H","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3YDZ5FM4","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3YDZ5FM4JR7VWH3H4NGOMRU6NT","target":"record","payload":{"canonical_record":{"source":{"id":"1708.06321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-08-21T16:47:43Z","cross_cats_sorted":["nucl-ex","quant-ph"],"title_canon_sha256":"2ff60c4d199edf0ef47617f640beaaa98b45a2c028ff02176f36662fd85b9e46","abstract_canon_sha256":"76aea13bcaa8131f533e7a3d45fcaba0cefd3db493d9317293940386f057947f"},"schema_version":"1.0"},"canonical_sha256":"de079e959c4c7f5b1f67e34ce6469e6cc483d0ed405e9aabbc96eda22f932d9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:27.875035Z","signature_b64":"Ek+P0eUGRguyarS5rYfJH62NLI08vlDAOEfLwGg9U/SgN7qYUTvNmp/e/xhhXId5FxlWVDC7rYSGHQWJ06sFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de079e959c4c7f5b1f67e34ce6469e6cc483d0ed405e9aabbc96eda22f932d9e","last_reissued_at":"2026-05-18T00:30:27.874418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:27.874418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.06321","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":"2026-05-18T00:30:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2BKMx1jJnXz7p6cfELkGNUevRd0PmLI3Z/VAJYdcJcAiC/ZPAcHzRO8WbsO5T1jgGfypgaw5rOFtU5VMGlgRAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:44:17.970962Z"},"content_sha256":"04f8e50cedab84373e28f1662d88017c73924914a76985826274b2e848278c1f","schema_version":"1.0","event_id":"sha256:04f8e50cedab84373e28f1662d88017c73924914a76985826274b2e848278c1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3YDZ5FM4JR7VWH3H4NGOMRU6NT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partial dynamical symmetries and shape coexistence in nuclei","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-ex","quant-ph"],"primary_cat":"nucl-th","authors_text":"A. Leviatan, N. Gavrielov","submitted_at":"2017-08-21T16:47:43Z","abstract_excerpt":"We present a symmetry-based approach for shape coexistence in nuclei, founded on the concept of partial dynamical symmetry (PDS). The latter corresponds to a situation when only selected states (or bands of states) of the coexisting configurations preserve the symmetry while other states are mixed. We construct explicitly critical-point Hamiltonians with two or three PDSs of the type U(5), SU(3), ${\\overline{\\rm SU(3)}}$ and SO(6), appropriate to double or triple coexistence of spherical, prolate, oblate and $\\gamma$-soft deformed shapes, respectively. In each case, we analyze the topology of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06321","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":"2026-05-18T00:30:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nsTb6Jhjdg+kL/lVoIi2TikwkHM6SfggaH1ZTD2OguZY5y4lPbwBidO38iBlYaJfo8KyjRpkUrAia7cQTnF+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:44:17.971494Z"},"content_sha256":"10e70bf504d600d10e9fde83e07a363860e2c6b760143c8f562aab6836c1ad90","schema_version":"1.0","event_id":"sha256:10e70bf504d600d10e9fde83e07a363860e2c6b760143c8f562aab6836c1ad90"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT/bundle.json","state_url":"https://pith.science/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT/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":"2026-06-12T01:44:17Z","links":{"resolver":"https://pith.science/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT","bundle":"https://pith.science/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT/bundle.json","state":"https://pith.science/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YDZ5FM4JR7VWH3H4NGOMRU6NT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3YDZ5FM4JR7VWH3H4NGOMRU6NT","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":"76aea13bcaa8131f533e7a3d45fcaba0cefd3db493d9317293940386f057947f","cross_cats_sorted":["nucl-ex","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-08-21T16:47:43Z","title_canon_sha256":"2ff60c4d199edf0ef47617f640beaaa98b45a2c028ff02176f36662fd85b9e46"},"schema_version":"1.0","source":{"id":"1708.06321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06321","created_at":"2026-05-18T00:30:27Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06321v1","created_at":"2026-05-18T00:30:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06321","created_at":"2026-05-18T00:30:27Z"},{"alias_kind":"pith_short_12","alias_value":"3YDZ5FM4JR7V","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3YDZ5FM4JR7VWH3H","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3YDZ5FM4","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:10e70bf504d600d10e9fde83e07a363860e2c6b760143c8f562aab6836c1ad90","target":"graph","created_at":"2026-05-18T00:30:27Z","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 present a symmetry-based approach for shape coexistence in nuclei, founded on the concept of partial dynamical symmetry (PDS). The latter corresponds to a situation when only selected states (or bands of states) of the coexisting configurations preserve the symmetry while other states are mixed. We construct explicitly critical-point Hamiltonians with two or three PDSs of the type U(5), SU(3), ${\\overline{\\rm SU(3)}}$ and SO(6), appropriate to double or triple coexistence of spherical, prolate, oblate and $\\gamma$-soft deformed shapes, respectively. In each case, we analyze the topology of ","authors_text":"A. Leviatan, N. Gavrielov","cross_cats":["nucl-ex","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-08-21T16:47:43Z","title":"Partial dynamical symmetries and shape coexistence in nuclei"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06321","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":"sha256:04f8e50cedab84373e28f1662d88017c73924914a76985826274b2e848278c1f","target":"record","created_at":"2026-05-18T00:30:27Z","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":"76aea13bcaa8131f533e7a3d45fcaba0cefd3db493d9317293940386f057947f","cross_cats_sorted":["nucl-ex","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-08-21T16:47:43Z","title_canon_sha256":"2ff60c4d199edf0ef47617f640beaaa98b45a2c028ff02176f36662fd85b9e46"},"schema_version":"1.0","source":{"id":"1708.06321","kind":"arxiv","version":1}},"canonical_sha256":"de079e959c4c7f5b1f67e34ce6469e6cc483d0ed405e9aabbc96eda22f932d9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de079e959c4c7f5b1f67e34ce6469e6cc483d0ed405e9aabbc96eda22f932d9e","first_computed_at":"2026-05-18T00:30:27.874418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:27.874418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ek+P0eUGRguyarS5rYfJH62NLI08vlDAOEfLwGg9U/SgN7qYUTvNmp/e/xhhXId5FxlWVDC7rYSGHQWJ06sFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:27.875035Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04f8e50cedab84373e28f1662d88017c73924914a76985826274b2e848278c1f","sha256:10e70bf504d600d10e9fde83e07a363860e2c6b760143c8f562aab6836c1ad90"],"state_sha256":"5ad4cb3cbfedf54207ecf6ce7b7a156853be24d1040dad55c66482835af0f6f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DK0RXmvTlJTjcAmdGlWY8t+cmIxbNj2eaUbHzKFD3YSwGLKClGBmIlfZ0MNsxZiVmtcfntli1KVfTy2lJov6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:44:17.973962Z","bundle_sha256":"3258b45a41d0667330db49ee964b1fb45b849d268777ffe5754bdfc77cff6981"}}