{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:E2GPH3U2TZPFSCT2JG5V753SUQ","short_pith_number":"pith:E2GPH3U2","canonical_record":{"source":{"id":"1606.04194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-06-14T02:51:31Z","cross_cats_sorted":[],"title_canon_sha256":"6789774dceed415d915159ee85f403a93a261e1bb7216e4c46b0e9f003aeed9f","abstract_canon_sha256":"bae7b4c4b952a3db4bfb8499b6ef7e36ccd4f150de1ceb11e27bdfe9f7cb22f4"},"schema_version":"1.0"},"canonical_sha256":"268cf3ee9a9e5e590a7a49bb5ff772a435daf04b49dc16aa200ac2157ad42b19","source":{"kind":"arxiv","id":"1606.04194","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04194","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04194v1","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04194","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"pith_short_12","alias_value":"E2GPH3U2TZPF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E2GPH3U2TZPFSCT2","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E2GPH3U2","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:E2GPH3U2TZPFSCT2JG5V753SUQ","target":"record","payload":{"canonical_record":{"source":{"id":"1606.04194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-06-14T02:51:31Z","cross_cats_sorted":[],"title_canon_sha256":"6789774dceed415d915159ee85f403a93a261e1bb7216e4c46b0e9f003aeed9f","abstract_canon_sha256":"bae7b4c4b952a3db4bfb8499b6ef7e36ccd4f150de1ceb11e27bdfe9f7cb22f4"},"schema_version":"1.0"},"canonical_sha256":"268cf3ee9a9e5e590a7a49bb5ff772a435daf04b49dc16aa200ac2157ad42b19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:25.986279Z","signature_b64":"6SOL/fkRfm4p69TSORifC2YdpaO66U+974huEDpJNgNLXvzZjnp9EDJbmBtQuJMeMwctzrpMSLa75rzRo73aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"268cf3ee9a9e5e590a7a49bb5ff772a435daf04b49dc16aa200ac2157ad42b19","last_reissued_at":"2026-05-18T01:12:25.985938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:25.985938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.04194","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":"2026-05-18T01:12:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Zz+iTPgPsgdx5Xu/VRvI09TmIzuuOTLVLAijIYQgP0Ad2NML6jJbGSdUGNEt863x9z5xwTe7Ri2gR7NEBWNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T17:31:24.593310Z"},"content_sha256":"6731df5b7446d2a17cc126b26f149430de3b2fb0c3bf965d5dae82ae33f7d5c2","schema_version":"1.0","event_id":"sha256:6731df5b7446d2a17cc126b26f149430de3b2fb0c3bf965d5dae82ae33f7d5c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:E2GPH3U2TZPFSCT2JG5V753SUQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cut-elimination for SBL","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Toshiyasu Arai","submitted_at":"2016-06-14T02:51:31Z","abstract_excerpt":"In this paper we give a terminating cut-elimination procedure for a logic calculus SBL. SBL corresponds to the second order arithmetic Pi^{1}_{2}-Separation and Bar Induction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04194","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":"2026-05-18T01:12:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nnnIRCBnJUuyhxLfbqv+XNUY2CIVA9huLZxOOG+UoL8g/4NeSulDVsjyc0ypGexY371HZlt13swgBnKbKveVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T17:31:24.593672Z"},"content_sha256":"afb0908e2fc392c3488aa94425f0a777ddc2f8d3e01de275a6a7f3c28490fdd2","schema_version":"1.0","event_id":"sha256:afb0908e2fc392c3488aa94425f0a777ddc2f8d3e01de275a6a7f3c28490fdd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2GPH3U2TZPFSCT2JG5V753SUQ/bundle.json","state_url":"https://pith.science/pith/E2GPH3U2TZPFSCT2JG5V753SUQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2GPH3U2TZPFSCT2JG5V753SUQ/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":"2026-06-25T17:31:24Z","links":{"resolver":"https://pith.science/pith/E2GPH3U2TZPFSCT2JG5V753SUQ","bundle":"https://pith.science/pith/E2GPH3U2TZPFSCT2JG5V753SUQ/bundle.json","state":"https://pith.science/pith/E2GPH3U2TZPFSCT2JG5V753SUQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2GPH3U2TZPFSCT2JG5V753SUQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:E2GPH3U2TZPFSCT2JG5V753SUQ","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":"bae7b4c4b952a3db4bfb8499b6ef7e36ccd4f150de1ceb11e27bdfe9f7cb22f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-06-14T02:51:31Z","title_canon_sha256":"6789774dceed415d915159ee85f403a93a261e1bb7216e4c46b0e9f003aeed9f"},"schema_version":"1.0","source":{"id":"1606.04194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04194","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04194v1","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04194","created_at":"2026-05-18T01:12:25Z"},{"alias_kind":"pith_short_12","alias_value":"E2GPH3U2TZPF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E2GPH3U2TZPFSCT2","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E2GPH3U2","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:afb0908e2fc392c3488aa94425f0a777ddc2f8d3e01de275a6a7f3c28490fdd2","target":"graph","created_at":"2026-05-18T01:12:25Z","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":"In this paper we give a terminating cut-elimination procedure for a logic calculus SBL. SBL corresponds to the second order arithmetic Pi^{1}_{2}-Separation and Bar Induction.","authors_text":"Toshiyasu Arai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-06-14T02:51:31Z","title":"Cut-elimination for SBL"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04194","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":"sha256:6731df5b7446d2a17cc126b26f149430de3b2fb0c3bf965d5dae82ae33f7d5c2","target":"record","created_at":"2026-05-18T01:12:25Z","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":"bae7b4c4b952a3db4bfb8499b6ef7e36ccd4f150de1ceb11e27bdfe9f7cb22f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-06-14T02:51:31Z","title_canon_sha256":"6789774dceed415d915159ee85f403a93a261e1bb7216e4c46b0e9f003aeed9f"},"schema_version":"1.0","source":{"id":"1606.04194","kind":"arxiv","version":1}},"canonical_sha256":"268cf3ee9a9e5e590a7a49bb5ff772a435daf04b49dc16aa200ac2157ad42b19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"268cf3ee9a9e5e590a7a49bb5ff772a435daf04b49dc16aa200ac2157ad42b19","first_computed_at":"2026-05-18T01:12:25.985938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:25.985938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6SOL/fkRfm4p69TSORifC2YdpaO66U+974huEDpJNgNLXvzZjnp9EDJbmBtQuJMeMwctzrpMSLa75rzRo73aAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:25.986279Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.04194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6731df5b7446d2a17cc126b26f149430de3b2fb0c3bf965d5dae82ae33f7d5c2","sha256:afb0908e2fc392c3488aa94425f0a777ddc2f8d3e01de275a6a7f3c28490fdd2"],"state_sha256":"b70443723c328d92cdb18040303625aaa6a099b39dba12361212c9d820d7d13f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ue2yCneldc8bhXdH9JS40jKnZ8x1EUvZU41GJiAUNp92RX0xhZXjrNGwG+jMZwtQFczvaKN8mOtKqCtZYRNuAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T17:31:24.595733Z","bundle_sha256":"8299f64be425375ef3b8e0a2d463b7f955af8aa0955b33dae2b8aceeb4c8d718"}}