{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:C3EKHMLSDBHG2BEZZ3E6UXSPNJ","short_pith_number":"pith:C3EKHMLS","canonical_record":{"source":{"id":"1202.5631","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T09:02:48Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"f1e553be5ccab09c5a66ea682b813b2b5cae6cf7ffe84ad5d4be30a52262f5d7","abstract_canon_sha256":"40ab8d8d214c2b4413566afb2ee9cce574e5c3e9f42e5bce499c4a326d751858"},"schema_version":"1.0"},"canonical_sha256":"16c8a3b172184e6d0499cec9ea5e4f6a457df469fb609dfda921add8279be7a0","source":{"kind":"arxiv","id":"1202.5631","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5631","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5631v3","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5631","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"C3EKHMLSDBHG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"C3EKHMLSDBHG2BEZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"C3EKHMLS","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:C3EKHMLSDBHG2BEZZ3E6UXSPNJ","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5631","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T09:02:48Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"f1e553be5ccab09c5a66ea682b813b2b5cae6cf7ffe84ad5d4be30a52262f5d7","abstract_canon_sha256":"40ab8d8d214c2b4413566afb2ee9cce574e5c3e9f42e5bce499c4a326d751858"},"schema_version":"1.0"},"canonical_sha256":"16c8a3b172184e6d0499cec9ea5e4f6a457df469fb609dfda921add8279be7a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:31.755107Z","signature_b64":"6L10u1erbH1AdDm2BK4KoLJHNR2zOopohX+GT0h59ln2x8acR/cHcgIHh/tmfHGq7bFE0J4x3yPFXS/Hl6XBDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16c8a3b172184e6d0499cec9ea5e4f6a457df469fb609dfda921add8279be7a0","last_reissued_at":"2026-05-18T03:45:31.754393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:31.754393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5631","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":"2026-05-18T03:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5uXGmtDJhu9Y+3Bl8pb0Vvta2chH4Kd3KWx4RuO0slEliKmUi72ki+5PKBss8BpjsKvaWjDTb9ZD6knXzOhuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T14:41:54.727377Z"},"content_sha256":"96f5f7f217d1205391fd0b2febd0fce3c8036cfdfab75310b51872c8003f8279","schema_version":"1.0","event_id":"sha256:96f5f7f217d1205391fd0b2febd0fce3c8036cfdfab75310b51872c8003f8279"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:C3EKHMLSDBHG2BEZZ3E6UXSPNJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Periodic-orbit approach to the nuclear shell structures with power-law potential models: Bridge orbits and prolate-oblate asymmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"nucl-th","authors_text":"Ken-ichiro Arita","submitted_at":"2012-02-25T09:02:48Z","abstract_excerpt":"Deformed shell structures in nuclear mean-field potentials are systematically investigated as functions of deformation and surface diffuseness. As the mean-field model to investigate nuclear shell structures in a wide range of mass numbers, we propose the radial power-law potential model, V \\propto r^\\alpha, which enables a simple semiclassical analysis by the use of its scaling property. We find that remarkable shell structures emerge at certain combinations of deformation and diffuseness parameters, and they are closely related to the periodic-orbit bifurcations. In particular, significant r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5631","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":"2026-05-18T03:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JlWlAYOA68SHGppAuNWGMSIpNnw7xfu70+VLK+GVnhzOQvgL4o6Q8A0FiluH0nRUOT22dQvbWSzn3zuMA1lGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T14:41:54.727725Z"},"content_sha256":"cfa5164705edf992af4c0559dfa805ab9807b4cc40100a9cfc5b0fb4b3d29cda","schema_version":"1.0","event_id":"sha256:cfa5164705edf992af4c0559dfa805ab9807b4cc40100a9cfc5b0fb4b3d29cda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ/bundle.json","state_url":"https://pith.science/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ/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":"2026-07-04T14:41:54Z","links":{"resolver":"https://pith.science/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ","bundle":"https://pith.science/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ/bundle.json","state":"https://pith.science/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3EKHMLSDBHG2BEZZ3E6UXSPNJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:C3EKHMLSDBHG2BEZZ3E6UXSPNJ","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":"40ab8d8d214c2b4413566afb2ee9cce574e5c3e9f42e5bce499c4a326d751858","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T09:02:48Z","title_canon_sha256":"f1e553be5ccab09c5a66ea682b813b2b5cae6cf7ffe84ad5d4be30a52262f5d7"},"schema_version":"1.0","source":{"id":"1202.5631","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5631","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5631v3","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5631","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"C3EKHMLSDBHG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"C3EKHMLSDBHG2BEZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"C3EKHMLS","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:cfa5164705edf992af4c0559dfa805ab9807b4cc40100a9cfc5b0fb4b3d29cda","target":"graph","created_at":"2026-05-18T03:45:31Z","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":"Deformed shell structures in nuclear mean-field potentials are systematically investigated as functions of deformation and surface diffuseness. As the mean-field model to investigate nuclear shell structures in a wide range of mass numbers, we propose the radial power-law potential model, V \\propto r^\\alpha, which enables a simple semiclassical analysis by the use of its scaling property. We find that remarkable shell structures emerge at certain combinations of deformation and diffuseness parameters, and they are closely related to the periodic-orbit bifurcations. In particular, significant r","authors_text":"Ken-ichiro Arita","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T09:02:48Z","title":"Periodic-orbit approach to the nuclear shell structures with power-law potential models: Bridge orbits and prolate-oblate asymmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5631","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":"sha256:96f5f7f217d1205391fd0b2febd0fce3c8036cfdfab75310b51872c8003f8279","target":"record","created_at":"2026-05-18T03:45:31Z","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":"40ab8d8d214c2b4413566afb2ee9cce574e5c3e9f42e5bce499c4a326d751858","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T09:02:48Z","title_canon_sha256":"f1e553be5ccab09c5a66ea682b813b2b5cae6cf7ffe84ad5d4be30a52262f5d7"},"schema_version":"1.0","source":{"id":"1202.5631","kind":"arxiv","version":3}},"canonical_sha256":"16c8a3b172184e6d0499cec9ea5e4f6a457df469fb609dfda921add8279be7a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16c8a3b172184e6d0499cec9ea5e4f6a457df469fb609dfda921add8279be7a0","first_computed_at":"2026-05-18T03:45:31.754393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:31.754393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6L10u1erbH1AdDm2BK4KoLJHNR2zOopohX+GT0h59ln2x8acR/cHcgIHh/tmfHGq7bFE0J4x3yPFXS/Hl6XBDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:31.755107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5631","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96f5f7f217d1205391fd0b2febd0fce3c8036cfdfab75310b51872c8003f8279","sha256:cfa5164705edf992af4c0559dfa805ab9807b4cc40100a9cfc5b0fb4b3d29cda"],"state_sha256":"71907ea1bf57c9b44bb0e9179edaa4e8d07ac582e1579b1ed2cfd8ccca58eda2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YvRaVAqMpAOiHSC6nQ5CU0JT+MVKs2WrMqcxWwopj2Ce+e+Q4IzVdgsPUbC4tXG8W7cd/i6WP/Pn8d1TaYTFAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T14:41:54.729678Z","bundle_sha256":"16ca4334d6febde12c9866875024db578dbbc149f9f70359978b0fa03ac0f43b"}}