{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:L2AUBAARYF6TMVJKADLPTGAEV3","short_pith_number":"pith:L2AUBAAR","canonical_record":{"source":{"id":"1404.6078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-24T10:31:47Z","cross_cats_sorted":[],"title_canon_sha256":"322c13defb44e809f681ad2cab2b411fcae247c3d2696d08a8905b88ae4e3a45","abstract_canon_sha256":"6a47e47ef3b917692d447f6d845b53c09eb9f92ee3ec47fdbceaf4fdd7151ea7"},"schema_version":"1.0"},"canonical_sha256":"5e81408011c17d36552a00d6f99804aecf7e549fb0a26b28235f75eabd13ef46","source":{"kind":"arxiv","id":"1404.6078","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6078","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6078v2","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6078","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"L2AUBAARYF6T","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"L2AUBAARYF6TMVJK","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"L2AUBAAR","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:L2AUBAARYF6TMVJKADLPTGAEV3","target":"record","payload":{"canonical_record":{"source":{"id":"1404.6078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-24T10:31:47Z","cross_cats_sorted":[],"title_canon_sha256":"322c13defb44e809f681ad2cab2b411fcae247c3d2696d08a8905b88ae4e3a45","abstract_canon_sha256":"6a47e47ef3b917692d447f6d845b53c09eb9f92ee3ec47fdbceaf4fdd7151ea7"},"schema_version":"1.0"},"canonical_sha256":"5e81408011c17d36552a00d6f99804aecf7e549fb0a26b28235f75eabd13ef46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:24.857771Z","signature_b64":"Koc4srPA9UlMDYFo2nfgQ5vayyTwAeDRElUMWxiNgnDQ9cPxwaq+OeUj2jYfSZ9YwPbdI52BBIxCTdpfsLHaBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e81408011c17d36552a00d6f99804aecf7e549fb0a26b28235f75eabd13ef46","last_reissued_at":"2026-05-18T02:51:24.857094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:24.857094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.6078","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:51:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"17AwqCZ2XioUsqiBVekIu0HEO9YdT5LWBOC//DZlMiach5e1E5xeMJiiPDSBWTG8APiVbru1RnX0SWqT5awyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:11:25.971896Z"},"content_sha256":"c1a0f053ce0f67e6387694f93d971cc87f135bd92897f27a7dde27cf0887f0b1","schema_version":"1.0","event_id":"sha256:c1a0f053ce0f67e6387694f93d971cc87f135bd92897f27a7dde27cf0887f0b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:L2AUBAARYF6TMVJKADLPTGAEV3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resonances for the radial Dirac operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Alexei Iantchenko, Evgeny Korotyaev","submitted_at":"2014-04-24T10:31:47Z","abstract_excerpt":"We consider the radial Dirac operator with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) in the massless case we get the trace formula in terms of resonances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6078","kind":"arxiv","version":2},"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":"2026-05-18T02:51:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QRW1y+wJtqzCLtQdNl6zuWGOoYSXMl/Pu0+sqriCgUDeweI1j49AhX/G3Evl5H2NsptdOs/4kv/E0UrWcxl8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:11:25.972256Z"},"content_sha256":"abc07d3a6ebd8ec536a2b6013fa22ef3f18733f2c505fefcbb3ed898ff8fe9ee","schema_version":"1.0","event_id":"sha256:abc07d3a6ebd8ec536a2b6013fa22ef3f18733f2c505fefcbb3ed898ff8fe9ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2AUBAARYF6TMVJKADLPTGAEV3/bundle.json","state_url":"https://pith.science/pith/L2AUBAARYF6TMVJKADLPTGAEV3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2AUBAARYF6TMVJKADLPTGAEV3/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":"2026-06-01T04:11:25Z","links":{"resolver":"https://pith.science/pith/L2AUBAARYF6TMVJKADLPTGAEV3","bundle":"https://pith.science/pith/L2AUBAARYF6TMVJKADLPTGAEV3/bundle.json","state":"https://pith.science/pith/L2AUBAARYF6TMVJKADLPTGAEV3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2AUBAARYF6TMVJKADLPTGAEV3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:L2AUBAARYF6TMVJKADLPTGAEV3","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":"6a47e47ef3b917692d447f6d845b53c09eb9f92ee3ec47fdbceaf4fdd7151ea7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-24T10:31:47Z","title_canon_sha256":"322c13defb44e809f681ad2cab2b411fcae247c3d2696d08a8905b88ae4e3a45"},"schema_version":"1.0","source":{"id":"1404.6078","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6078","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6078v2","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6078","created_at":"2026-05-18T02:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"L2AUBAARYF6T","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"L2AUBAARYF6TMVJK","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"L2AUBAAR","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:abc07d3a6ebd8ec536a2b6013fa22ef3f18733f2c505fefcbb3ed898ff8fe9ee","target":"graph","created_at":"2026-05-18T02:51:24Z","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 consider the radial Dirac operator with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics of counting function, 2) in the massless case we get the trace formula in terms of resonances.","authors_text":"Alexei Iantchenko, Evgeny Korotyaev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-24T10:31:47Z","title":"Resonances for the radial Dirac operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6078","kind":"arxiv","version":2},"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:c1a0f053ce0f67e6387694f93d971cc87f135bd92897f27a7dde27cf0887f0b1","target":"record","created_at":"2026-05-18T02:51:24Z","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":"6a47e47ef3b917692d447f6d845b53c09eb9f92ee3ec47fdbceaf4fdd7151ea7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-24T10:31:47Z","title_canon_sha256":"322c13defb44e809f681ad2cab2b411fcae247c3d2696d08a8905b88ae4e3a45"},"schema_version":"1.0","source":{"id":"1404.6078","kind":"arxiv","version":2}},"canonical_sha256":"5e81408011c17d36552a00d6f99804aecf7e549fb0a26b28235f75eabd13ef46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e81408011c17d36552a00d6f99804aecf7e549fb0a26b28235f75eabd13ef46","first_computed_at":"2026-05-18T02:51:24.857094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:24.857094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Koc4srPA9UlMDYFo2nfgQ5vayyTwAeDRElUMWxiNgnDQ9cPxwaq+OeUj2jYfSZ9YwPbdI52BBIxCTdpfsLHaBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:24.857771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6078","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1a0f053ce0f67e6387694f93d971cc87f135bd92897f27a7dde27cf0887f0b1","sha256:abc07d3a6ebd8ec536a2b6013fa22ef3f18733f2c505fefcbb3ed898ff8fe9ee"],"state_sha256":"5de11a7fdd739c7c5f9461a27cd39546b4c60940332982916057877f765c4724"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X1Gv5w+of7NyXKFXcHTSuE271zBdU/NzRQ+mAhoe7s9RXEccnKGOUdQPBA2ZPW9oE0L8o71pxaR7jxGklx2lAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:11:25.974426Z","bundle_sha256":"034107ec1a8f36f9bd3429c7cb12f47561d9ef99ba28cf76d8c4e93d4f6a6c2c"}}