{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2EA77GZWP2G4UPWLFBVBSNDYE5","short_pith_number":"pith:2EA77GZW","canonical_record":{"source":{"id":"1601.07589","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-27T22:51:25Z","cross_cats_sorted":[],"title_canon_sha256":"4aa4305625e098ad258d3555a7e723b67686167553be4b8180908e286c1981cb","abstract_canon_sha256":"3c3b1b6d64f248c9270847e655cf16881f34f962bcea0d18d3535e9f1f268e0d"},"schema_version":"1.0"},"canonical_sha256":"d101ff9b367e8dca3ecb286a193478276cf676dc2859257411cbf0b1db173826","source":{"kind":"arxiv","id":"1601.07589","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07589","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07589v2","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07589","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"pith_short_12","alias_value":"2EA77GZWP2G4","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2EA77GZWP2G4UPWL","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2EA77GZW","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2EA77GZWP2G4UPWLFBVBSNDYE5","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07589","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-27T22:51:25Z","cross_cats_sorted":[],"title_canon_sha256":"4aa4305625e098ad258d3555a7e723b67686167553be4b8180908e286c1981cb","abstract_canon_sha256":"3c3b1b6d64f248c9270847e655cf16881f34f962bcea0d18d3535e9f1f268e0d"},"schema_version":"1.0"},"canonical_sha256":"d101ff9b367e8dca3ecb286a193478276cf676dc2859257411cbf0b1db173826","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:50.015027Z","signature_b64":"E9t2e+wENFjtb9mLpv+Tf6V27jhLCy62GNwcm3fch9Lq5vV2sHQl8Yukm3464KKRmydzi2mI4lnA5Laocbi0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d101ff9b367e8dca3ecb286a193478276cf676dc2859257411cbf0b1db173826","last_reissued_at":"2026-05-18T01:20:50.014633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:50.014633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07589","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":"2026-05-18T01:20:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"giOTZnUmPNxjPpohPY25dp5z8Gk/dJIxtbI321ZlD9jogy/n2Q61P6ZTWur9/O8RiwftvtW9xHHIb11JpIAhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:34:45.845889Z"},"content_sha256":"e2cd2340779e36c0d3ccb81eeb76a312e2548c1899b079a9e7b4b6594315d27a","schema_version":"1.0","event_id":"sha256:e2cd2340779e36c0d3ccb81eeb76a312e2548c1899b079a9e7b4b6594315d27a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2EA77GZWP2G4UPWLFBVBSNDYE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite order corks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Motoo Tange","submitted_at":"2016-01-27T22:51:25Z","abstract_excerpt":"We show that for any po sitive integer $m$, there exist order $n$ Stein corks. The boundaries are cyclic branched covers of slice knots embedded in the boundary of corks. By applying these corks to generalized forms, we give a method producing examples of many finite order corks, which are possibly not Stein cork."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07589","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":"2026-05-18T01:20:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"flBCtI/A05jgekowh5m6R9Xkt3fKemoeCSmrEv74EUml5YZd2Xqg74ezKSY40UEqqOxp+ZWGEk9rq3ZufmDLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T16:34:45.846231Z"},"content_sha256":"2ddedcad8ac646b5c634edac0426d8ed06fca06a8f29cbfeea6bd1fbe3890db0","schema_version":"1.0","event_id":"sha256:2ddedcad8ac646b5c634edac0426d8ed06fca06a8f29cbfeea6bd1fbe3890db0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2EA77GZWP2G4UPWLFBVBSNDYE5/bundle.json","state_url":"https://pith.science/pith/2EA77GZWP2G4UPWLFBVBSNDYE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2EA77GZWP2G4UPWLFBVBSNDYE5/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":"2026-06-25T16:34:45Z","links":{"resolver":"https://pith.science/pith/2EA77GZWP2G4UPWLFBVBSNDYE5","bundle":"https://pith.science/pith/2EA77GZWP2G4UPWLFBVBSNDYE5/bundle.json","state":"https://pith.science/pith/2EA77GZWP2G4UPWLFBVBSNDYE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2EA77GZWP2G4UPWLFBVBSNDYE5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2EA77GZWP2G4UPWLFBVBSNDYE5","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":"3c3b1b6d64f248c9270847e655cf16881f34f962bcea0d18d3535e9f1f268e0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-27T22:51:25Z","title_canon_sha256":"4aa4305625e098ad258d3555a7e723b67686167553be4b8180908e286c1981cb"},"schema_version":"1.0","source":{"id":"1601.07589","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07589","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07589v2","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07589","created_at":"2026-05-18T01:20:50Z"},{"alias_kind":"pith_short_12","alias_value":"2EA77GZWP2G4","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2EA77GZWP2G4UPWL","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2EA77GZW","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:2ddedcad8ac646b5c634edac0426d8ed06fca06a8f29cbfeea6bd1fbe3890db0","target":"graph","created_at":"2026-05-18T01:20:50Z","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 show that for any po sitive integer $m$, there exist order $n$ Stein corks. The boundaries are cyclic branched covers of slice knots embedded in the boundary of corks. By applying these corks to generalized forms, we give a method producing examples of many finite order corks, which are possibly not Stein cork.","authors_text":"Motoo Tange","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-27T22:51:25Z","title":"Finite order corks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07589","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:e2cd2340779e36c0d3ccb81eeb76a312e2548c1899b079a9e7b4b6594315d27a","target":"record","created_at":"2026-05-18T01:20:50Z","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":"3c3b1b6d64f248c9270847e655cf16881f34f962bcea0d18d3535e9f1f268e0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-27T22:51:25Z","title_canon_sha256":"4aa4305625e098ad258d3555a7e723b67686167553be4b8180908e286c1981cb"},"schema_version":"1.0","source":{"id":"1601.07589","kind":"arxiv","version":2}},"canonical_sha256":"d101ff9b367e8dca3ecb286a193478276cf676dc2859257411cbf0b1db173826","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d101ff9b367e8dca3ecb286a193478276cf676dc2859257411cbf0b1db173826","first_computed_at":"2026-05-18T01:20:50.014633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:50.014633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E9t2e+wENFjtb9mLpv+Tf6V27jhLCy62GNwcm3fch9Lq5vV2sHQl8Yukm3464KKRmydzi2mI4lnA5Laocbi0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:50.015027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07589","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2cd2340779e36c0d3ccb81eeb76a312e2548c1899b079a9e7b4b6594315d27a","sha256:2ddedcad8ac646b5c634edac0426d8ed06fca06a8f29cbfeea6bd1fbe3890db0"],"state_sha256":"82885b3267341dee736a3a4c4bf7380e9661f9cfa459a182618710c66653f348"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IFOG4i0FeSqWVApJ6nHYK+3yvaneISJ22jENnLucamuRNqVdSzJmmh4Fx4SGl2pL07RGkP05BuASgFM6CGGRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T16:34:45.848185Z","bundle_sha256":"4617802f3549a03acf3c1f0813b69865a20a452a0231853647bf359de562baf3"}}