{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AFWPPXRHMEFUO3HOW7DTKSK4E3","short_pith_number":"pith:AFWPPXRH","canonical_record":{"source":{"id":"1308.0005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-07-31T13:57:11Z","cross_cats_sorted":[],"title_canon_sha256":"423ece0f41722377f06818d2a867a2fe193de297acffb0c0af538e72c356901f","abstract_canon_sha256":"70a35bd9eb7d07a99a2e9582182a38eb2212d7ab30b4aa754e509afc4b5b311a"},"schema_version":"1.0"},"canonical_sha256":"016cf7de27610b476ceeb7c735495c26e928adbbeb5b8e7aeadbac96571f3e31","source":{"kind":"arxiv","id":"1308.0005","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0005","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0005v1","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0005","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"AFWPPXRHMEFU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AFWPPXRHMEFUO3HO","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AFWPPXRH","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AFWPPXRHMEFUO3HOW7DTKSK4E3","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-07-31T13:57:11Z","cross_cats_sorted":[],"title_canon_sha256":"423ece0f41722377f06818d2a867a2fe193de297acffb0c0af538e72c356901f","abstract_canon_sha256":"70a35bd9eb7d07a99a2e9582182a38eb2212d7ab30b4aa754e509afc4b5b311a"},"schema_version":"1.0"},"canonical_sha256":"016cf7de27610b476ceeb7c735495c26e928adbbeb5b8e7aeadbac96571f3e31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:00.852137Z","signature_b64":"ubSR44zPBPMbyI7pVBQfhZE+psnqYifXnSDng8UHN0ktwSDFLd0BxXB65DPvvbiA4vNY9s1guJwf/xzD6RapBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"016cf7de27610b476ceeb7c735495c26e928adbbeb5b8e7aeadbac96571f3e31","last_reissued_at":"2026-05-18T03:17:00.851439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:00.851439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0005","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":"2026-05-18T03:17:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n+Uo/fclq3FioGQ0uAZjkXOPfEEdnSEOfyMW+Z/uYVwpUH2wmPHIe3Xd0rH2ZqJzSJq6JCHkRiB8GxzhSeVnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:23:37.768345Z"},"content_sha256":"e99a831f1c8e853bbbd841f98dd9e38239b512f6b99e8368a4e7c1a6b1b6506a","schema_version":"1.0","event_id":"sha256:e99a831f1c8e853bbbd841f98dd9e38239b512f6b99e8368a4e7c1a6b1b6506a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AFWPPXRHMEFUO3HOW7DTKSK4E3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dirac bound state solutions of spherically ring-shaped q-deformed Woods-Saxon potential for any L-state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","submitted_at":"2013-07-31T13:57:11Z","abstract_excerpt":"Approximate bound state solutions of the Dirac equation with -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary L-state. The energy eigenvalue equation and corresponding two-component wave function are calculated by solving the radial and angular wave equations within a shortcut of the Nikiforov-Uvarov method. The solutions of the radial and polar angular parts of the wave function are expressed in terms of the Jacobi polynomials. A new approximation being expressed in terms of the potential parameters is carried out to deal with the strong singul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0005","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":"2026-05-18T03:17:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iEBE1UYsylSGzhXRW/u133E6dvdznrossJcQ/d8u6n/mvMih1xvtsnlzgVR2YLjrlA27N6oAXrxkI1O5FDznAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T23:23:37.769025Z"},"content_sha256":"6edc8608a5349380d4e9e90cda62f3b352dba6b7f7f95526504b385ceb93a94e","schema_version":"1.0","event_id":"sha256:6edc8608a5349380d4e9e90cda62f3b352dba6b7f7f95526504b385ceb93a94e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3/bundle.json","state_url":"https://pith.science/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3/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":"2026-05-28T23:23:37Z","links":{"resolver":"https://pith.science/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3","bundle":"https://pith.science/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3/bundle.json","state":"https://pith.science/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFWPPXRHMEFUO3HOW7DTKSK4E3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AFWPPXRHMEFUO3HOW7DTKSK4E3","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":"70a35bd9eb7d07a99a2e9582182a38eb2212d7ab30b4aa754e509afc4b5b311a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-07-31T13:57:11Z","title_canon_sha256":"423ece0f41722377f06818d2a867a2fe193de297acffb0c0af538e72c356901f"},"schema_version":"1.0","source":{"id":"1308.0005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0005","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0005v1","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0005","created_at":"2026-05-18T03:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"AFWPPXRHMEFU","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AFWPPXRHMEFUO3HO","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AFWPPXRH","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:6edc8608a5349380d4e9e90cda62f3b352dba6b7f7f95526504b385ceb93a94e","target":"graph","created_at":"2026-05-18T03:17:00Z","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":"Approximate bound state solutions of the Dirac equation with -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary L-state. The energy eigenvalue equation and corresponding two-component wave function are calculated by solving the radial and angular wave equations within a shortcut of the Nikiforov-Uvarov method. The solutions of the radial and polar angular parts of the wave function are expressed in terms of the Jacobi polynomials. A new approximation being expressed in terms of the potential parameters is carried out to deal with the strong singul","authors_text":"Majid Hamzavi, Sameer M. Ikhdair","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-07-31T13:57:11Z","title":"Dirac bound state solutions of spherically ring-shaped q-deformed Woods-Saxon potential for any L-state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0005","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:e99a831f1c8e853bbbd841f98dd9e38239b512f6b99e8368a4e7c1a6b1b6506a","target":"record","created_at":"2026-05-18T03:17:00Z","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":"70a35bd9eb7d07a99a2e9582182a38eb2212d7ab30b4aa754e509afc4b5b311a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2013-07-31T13:57:11Z","title_canon_sha256":"423ece0f41722377f06818d2a867a2fe193de297acffb0c0af538e72c356901f"},"schema_version":"1.0","source":{"id":"1308.0005","kind":"arxiv","version":1}},"canonical_sha256":"016cf7de27610b476ceeb7c735495c26e928adbbeb5b8e7aeadbac96571f3e31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"016cf7de27610b476ceeb7c735495c26e928adbbeb5b8e7aeadbac96571f3e31","first_computed_at":"2026-05-18T03:17:00.851439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:00.851439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ubSR44zPBPMbyI7pVBQfhZE+psnqYifXnSDng8UHN0ktwSDFLd0BxXB65DPvvbiA4vNY9s1guJwf/xzD6RapBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:00.852137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e99a831f1c8e853bbbd841f98dd9e38239b512f6b99e8368a4e7c1a6b1b6506a","sha256:6edc8608a5349380d4e9e90cda62f3b352dba6b7f7f95526504b385ceb93a94e"],"state_sha256":"84fc065ef41c421ecd5f771442908f1b01c9abbdd580ffd816f37f815b52e4a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PF/JrARWEQCOBSYU3AqTd9s4qbsL4+Om0yugkyR8FVY/ANIuyiTrf3j9Rndr+nT1oDYROtQvF01BD9LuOLihDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T23:23:37.773175Z","bundle_sha256":"a6c72aa7fa28af2f4091ad5138d91c8bfd2dd6b65911c7423ca4136dd0ad41b3"}}