{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QIBWQGXYXYARVARTF2UOIFUNI5","short_pith_number":"pith:QIBWQGXY","canonical_record":{"source":{"id":"1902.10936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-28T07:44:59Z","cross_cats_sorted":[],"title_canon_sha256":"0917057882cb6fb16f6966bcc6012dda8f52d7c132ad28fdda009afcd0b8672c","abstract_canon_sha256":"3df9b95a2282960a9ed85f794e454a0233c69d7e77179703f1836399f9fbf681"},"schema_version":"1.0"},"canonical_sha256":"8203681af8be011a82332ea8e4168d4748db249ca9141fdebac870321cc92bff","source":{"kind":"arxiv","id":"1902.10936","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10936","created_at":"2026-05-17T23:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10936v1","created_at":"2026-05-17T23:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10936","created_at":"2026-05-17T23:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"QIBWQGXYXYAR","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QIBWQGXYXYARVART","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QIBWQGXY","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QIBWQGXYXYARVARTF2UOIFUNI5","target":"record","payload":{"canonical_record":{"source":{"id":"1902.10936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-28T07:44:59Z","cross_cats_sorted":[],"title_canon_sha256":"0917057882cb6fb16f6966bcc6012dda8f52d7c132ad28fdda009afcd0b8672c","abstract_canon_sha256":"3df9b95a2282960a9ed85f794e454a0233c69d7e77179703f1836399f9fbf681"},"schema_version":"1.0"},"canonical_sha256":"8203681af8be011a82332ea8e4168d4748db249ca9141fdebac870321cc92bff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:26.325737Z","signature_b64":"Op1cQjGPtYm8n/tCvu48CbHT2C5xPGyBFTlziUn9jayKFYL8bfK0ruC0f0KrRXzquCiZuRti3jEkgHvgN+byCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8203681af8be011a82332ea8e4168d4748db249ca9141fdebac870321cc92bff","last_reissued_at":"2026-05-17T23:52:26.325168Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:26.325168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.10936","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":"2026-05-17T23:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a306el/q7p3H57z55W0EmRY0mgLCeRr/lSVfCi+BD0Y7AiXHafIQryle0ycCA9r1muxwoEYX9hYWfkcicyXpAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:00:09.181054Z"},"content_sha256":"02abe4a5680e84b89653205b6e03e5d6c5f1b1ee05d69718d3c81767f690b8b7","schema_version":"1.0","event_id":"sha256:02abe4a5680e84b89653205b6e03e5d6c5f1b1ee05d69718d3c81767f690b8b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QIBWQGXYXYARVARTF2UOIFUNI5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nontrivial example of the composition of the brane product and coproduct on Gorenstein spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Shun Wakatsuki","submitted_at":"2019-02-28T07:44:59Z","abstract_excerpt":"We give an example of a space with the nontrivial composition of the brane product and the brane coproduct, which we introduced in a previous article."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10936","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":"2026-05-17T23:52:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pe6QpGLf0ep7gdL/JXG+hmFy/oMYPFVHDE9iQGsv3wh5FPFC8l31cfcsJc6Zml9BXPQc0CEXqqyk41uYoVdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T21:00:09.181406Z"},"content_sha256":"816414b60b6d09f72aaacc01080ab86f40155b2f8843a6ddd35fee036a8f1ac5","schema_version":"1.0","event_id":"sha256:816414b60b6d09f72aaacc01080ab86f40155b2f8843a6ddd35fee036a8f1ac5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIBWQGXYXYARVARTF2UOIFUNI5/bundle.json","state_url":"https://pith.science/pith/QIBWQGXYXYARVARTF2UOIFUNI5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIBWQGXYXYARVARTF2UOIFUNI5/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":"2026-06-03T21:00:09Z","links":{"resolver":"https://pith.science/pith/QIBWQGXYXYARVARTF2UOIFUNI5","bundle":"https://pith.science/pith/QIBWQGXYXYARVARTF2UOIFUNI5/bundle.json","state":"https://pith.science/pith/QIBWQGXYXYARVARTF2UOIFUNI5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIBWQGXYXYARVARTF2UOIFUNI5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QIBWQGXYXYARVARTF2UOIFUNI5","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":"3df9b95a2282960a9ed85f794e454a0233c69d7e77179703f1836399f9fbf681","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-28T07:44:59Z","title_canon_sha256":"0917057882cb6fb16f6966bcc6012dda8f52d7c132ad28fdda009afcd0b8672c"},"schema_version":"1.0","source":{"id":"1902.10936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.10936","created_at":"2026-05-17T23:52:26Z"},{"alias_kind":"arxiv_version","alias_value":"1902.10936v1","created_at":"2026-05-17T23:52:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10936","created_at":"2026-05-17T23:52:26Z"},{"alias_kind":"pith_short_12","alias_value":"QIBWQGXYXYAR","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QIBWQGXYXYARVART","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QIBWQGXY","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:816414b60b6d09f72aaacc01080ab86f40155b2f8843a6ddd35fee036a8f1ac5","target":"graph","created_at":"2026-05-17T23:52:26Z","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 give an example of a space with the nontrivial composition of the brane product and the brane coproduct, which we introduced in a previous article.","authors_text":"Shun Wakatsuki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-28T07:44:59Z","title":"Nontrivial example of the composition of the brane product and coproduct on Gorenstein spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10936","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":"sha256:02abe4a5680e84b89653205b6e03e5d6c5f1b1ee05d69718d3c81767f690b8b7","target":"record","created_at":"2026-05-17T23:52:26Z","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":"3df9b95a2282960a9ed85f794e454a0233c69d7e77179703f1836399f9fbf681","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-28T07:44:59Z","title_canon_sha256":"0917057882cb6fb16f6966bcc6012dda8f52d7c132ad28fdda009afcd0b8672c"},"schema_version":"1.0","source":{"id":"1902.10936","kind":"arxiv","version":1}},"canonical_sha256":"8203681af8be011a82332ea8e4168d4748db249ca9141fdebac870321cc92bff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8203681af8be011a82332ea8e4168d4748db249ca9141fdebac870321cc92bff","first_computed_at":"2026-05-17T23:52:26.325168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:26.325168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Op1cQjGPtYm8n/tCvu48CbHT2C5xPGyBFTlziUn9jayKFYL8bfK0ruC0f0KrRXzquCiZuRti3jEkgHvgN+byCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:26.325737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.10936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02abe4a5680e84b89653205b6e03e5d6c5f1b1ee05d69718d3c81767f690b8b7","sha256:816414b60b6d09f72aaacc01080ab86f40155b2f8843a6ddd35fee036a8f1ac5"],"state_sha256":"a799491eb9273f42bd1902abd6533046d3c2ce86a6bc92004cae9fca2bc28428"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MiV/oYtO9beI1ibIuqxN6CEf/yWfXsxZgb8OK2ai1LsYllcXW4h+/xFkrXX5Ml3U4D041Ktp+309nNJ/FXApDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T21:00:09.183349Z","bundle_sha256":"07ff930648de1b70b94cfbae21acc41a2225fcf58477300b33966f08059c5ced"}}