{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:U7MNCIOQ3JL6BPPM3V4OP4B4SS","short_pith_number":"pith:U7MNCIOQ","canonical_record":{"source":{"id":"1807.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-07-13T13:34:39Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"4182c9bbbe5d32b6508f6a415f29911125da0cd5159f6ae4d74e7cf30112c3dd","abstract_canon_sha256":"d9b0b70060e09ecf9596fff80125d87c9c7bdf80df89c07e4e6225d14e41be4a"},"schema_version":"1.0"},"canonical_sha256":"a7d8d121d0da57e0bdecdd78e7f03c94bac5d9c75255a005535d41ce38b7a1ca","source":{"kind":"arxiv","id":"1807.05069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05069","created_at":"2026-05-18T00:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05069v1","created_at":"2026-05-18T00:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05069","created_at":"2026-05-18T00:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"U7MNCIOQ3JL6","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U7MNCIOQ3JL6BPPM","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U7MNCIOQ","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:U7MNCIOQ3JL6BPPM3V4OP4B4SS","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-07-13T13:34:39Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"4182c9bbbe5d32b6508f6a415f29911125da0cd5159f6ae4d74e7cf30112c3dd","abstract_canon_sha256":"d9b0b70060e09ecf9596fff80125d87c9c7bdf80df89c07e4e6225d14e41be4a"},"schema_version":"1.0"},"canonical_sha256":"a7d8d121d0da57e0bdecdd78e7f03c94bac5d9c75255a005535d41ce38b7a1ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:49.088391Z","signature_b64":"+mWC58pqkdpiAhnD5u8xtfN+PiY+oHMkykyvo1i8dDKg4QcgnC/x/kV2mZlWIH6G4x4t+H1ES0dKs34K7n7EAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7d8d121d0da57e0bdecdd78e7f03c94bac5d9c75255a005535d41ce38b7a1ca","last_reissued_at":"2026-05-18T00:10:49.087707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:49.087707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05069","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":"2026-05-18T00:10:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wp+ofTIFFXbioYfdYOAjH4fhOdukRldyi3m2aP/Wwt7s9xcJy6ho838EVKDy2Epn9I0mSX1YVFaxCpd2jDURDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:10:52.896585Z"},"content_sha256":"8bc42f75b7f2197f78d621d83102e925cc9b74d75ed32515ee09dad5e3e62a09","schema_version":"1.0","event_id":"sha256:8bc42f75b7f2197f78d621d83102e925cc9b74d75ed32515ee09dad5e3e62a09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:U7MNCIOQ3JL6BPPM3V4OP4B4SS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The edgewise subdivision criterion for 2-Segal objects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Ang\\'elica M. Osorno, Claudia I. Scheimbauer, Julia E. Bergner, Martina Rovelli, Viktoriya Ozornova","submitted_at":"2018-07-13T13:34:39Z","abstract_excerpt":"We show that the edgewise subdivision of a $2$-Segal object is always a Segal object, and furthermore that this property characterizes $2$-Segal objects."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05069","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":"2026-05-18T00:10:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bGwW6f0fh5v1Gn4/VJ7DIqVAoKWDB1xk5xTCFqOWOxPnfxVwo7k4vjFvomaR/CrM0FTk8Sp9vjVTSVJKmCZtBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:10:52.896930Z"},"content_sha256":"6eca55c3ae401358f50bdb9e3da2dc3bd1c4471d3266131ce7835f03a4a3ae30","schema_version":"1.0","event_id":"sha256:6eca55c3ae401358f50bdb9e3da2dc3bd1c4471d3266131ce7835f03a4a3ae30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS/bundle.json","state_url":"https://pith.science/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS/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":"2026-06-03T15:10:52Z","links":{"resolver":"https://pith.science/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS","bundle":"https://pith.science/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS/bundle.json","state":"https://pith.science/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U7MNCIOQ3JL6BPPM3V4OP4B4SS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U7MNCIOQ3JL6BPPM3V4OP4B4SS","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":"d9b0b70060e09ecf9596fff80125d87c9c7bdf80df89c07e4e6225d14e41be4a","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-07-13T13:34:39Z","title_canon_sha256":"4182c9bbbe5d32b6508f6a415f29911125da0cd5159f6ae4d74e7cf30112c3dd"},"schema_version":"1.0","source":{"id":"1807.05069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05069","created_at":"2026-05-18T00:10:49Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05069v1","created_at":"2026-05-18T00:10:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05069","created_at":"2026-05-18T00:10:49Z"},{"alias_kind":"pith_short_12","alias_value":"U7MNCIOQ3JL6","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U7MNCIOQ3JL6BPPM","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U7MNCIOQ","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:6eca55c3ae401358f50bdb9e3da2dc3bd1c4471d3266131ce7835f03a4a3ae30","target":"graph","created_at":"2026-05-18T00:10:49Z","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 the edgewise subdivision of a $2$-Segal object is always a Segal object, and furthermore that this property characterizes $2$-Segal objects.","authors_text":"Ang\\'elica M. Osorno, Claudia I. Scheimbauer, Julia E. Bergner, Martina Rovelli, Viktoriya Ozornova","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-07-13T13:34:39Z","title":"The edgewise subdivision criterion for 2-Segal objects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05069","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":"sha256:8bc42f75b7f2197f78d621d83102e925cc9b74d75ed32515ee09dad5e3e62a09","target":"record","created_at":"2026-05-18T00:10:49Z","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":"d9b0b70060e09ecf9596fff80125d87c9c7bdf80df89c07e4e6225d14e41be4a","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-07-13T13:34:39Z","title_canon_sha256":"4182c9bbbe5d32b6508f6a415f29911125da0cd5159f6ae4d74e7cf30112c3dd"},"schema_version":"1.0","source":{"id":"1807.05069","kind":"arxiv","version":1}},"canonical_sha256":"a7d8d121d0da57e0bdecdd78e7f03c94bac5d9c75255a005535d41ce38b7a1ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7d8d121d0da57e0bdecdd78e7f03c94bac5d9c75255a005535d41ce38b7a1ca","first_computed_at":"2026-05-18T00:10:49.087707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:49.087707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+mWC58pqkdpiAhnD5u8xtfN+PiY+oHMkykyvo1i8dDKg4QcgnC/x/kV2mZlWIH6G4x4t+H1ES0dKs34K7n7EAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:49.088391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bc42f75b7f2197f78d621d83102e925cc9b74d75ed32515ee09dad5e3e62a09","sha256:6eca55c3ae401358f50bdb9e3da2dc3bd1c4471d3266131ce7835f03a4a3ae30"],"state_sha256":"39e200ee93fdf9688378423f3852ab8c2cb6c497d55346df9803b2ea51628988"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hv4vr9JlhJPsmSyHIybBxD7yWkNizohiY5PJEKRqDA4mfoLdDZOWSuIUwP7IAanYmxqEg6bV4iKdyeFnsiGaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:10:52.899079Z","bundle_sha256":"3425a35960b57ae5a3dd12c2e14d0f3374c50640edfba1703f5e0d687ca2384f"}}