{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SENIGNAMOW3CNCL2AL62DRVNIO","short_pith_number":"pith:SENIGNAM","canonical_record":{"source":{"id":"1702.08696","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-28T08:50:27Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"9d20bc307e7377fa095898d0d205ef36792a18a408833dd9ed8e4b39bbeb33cb","abstract_canon_sha256":"a2dff1026e4ab7babeafc24e5a33be29db8f7446c8b6f8711b8dc8994e47d164"},"schema_version":"1.0"},"canonical_sha256":"911a83340c75b626897a02fda1c6ad43b51bcd072d2105a2d7f3b6e9e2f56272","source":{"kind":"arxiv","id":"1702.08696","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08696","created_at":"2026-05-18T00:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08696v3","created_at":"2026-05-18T00:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08696","created_at":"2026-05-18T00:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"SENIGNAMOW3C","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SENIGNAMOW3CNCL2","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SENIGNAM","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SENIGNAMOW3CNCL2AL62DRVNIO","target":"record","payload":{"canonical_record":{"source":{"id":"1702.08696","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-28T08:50:27Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"9d20bc307e7377fa095898d0d205ef36792a18a408833dd9ed8e4b39bbeb33cb","abstract_canon_sha256":"a2dff1026e4ab7babeafc24e5a33be29db8f7446c8b6f8711b8dc8994e47d164"},"schema_version":"1.0"},"canonical_sha256":"911a83340c75b626897a02fda1c6ad43b51bcd072d2105a2d7f3b6e9e2f56272","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:40.044622Z","signature_b64":"e8JhqOZhXiqWNw9gykFmFUi+exp5BksDllxpTC/E4dEWN/Qk2EKX7tixpm5mFTRAClfNy/4DdUpI/EwgsW7VCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"911a83340c75b626897a02fda1c6ad43b51bcd072d2105a2d7f3b6e9e2f56272","last_reissued_at":"2026-05-18T00:22:40.043751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:40.043751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.08696","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xSaTaa8cCKDrbHPf0dYszCDDPsXyN24mT6wJ+pv+MRapD3srbGNJJMXpb16UHBB/fYkdn8g8vL1cw294SVHfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:09:23.851108Z"},"content_sha256":"a93b872f670ec71dd03c38ce8ca8afc9d6a5a50113742f3a74ec0db7a738c4ca","schema_version":"1.0","event_id":"sha256:a93b872f670ec71dd03c38ce8ca8afc9d6a5a50113742f3a74ec0db7a738c4ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SENIGNAMOW3CNCL2AL62DRVNIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degeneracies in quasi-categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Wolfgang Steimle","submitted_at":"2017-02-28T08:50:27Z","abstract_excerpt":"In this note we show that a semisimplicial set with the weak Kan condition admits a simplicial structure, provided any object allows an idempotent self-equivalence. Moreover, any two choices of simplicial structures give rise to equivalent quasi-categories. The method is purely combinatorial and extends to semisimplicial objects in other categories; in particular to semi-simplicial spaces satisfying the Segal condition (semi-Segal spaces)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08696","kind":"arxiv","version":3},"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":"2026-05-18T00:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9hrc7XJ5IpsgXZ9pxhuA/1LINijbA8BbHRarYEg6JLqZxzPbQTURmpxYtdi2WWYUPmSWyW6TeOY1BbbZQPSaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:09:23.851765Z"},"content_sha256":"fed7f70f455ba0c85e484f77d1b0e75e96c52624c1c92ff8496dd9b27eb29f70","schema_version":"1.0","event_id":"sha256:fed7f70f455ba0c85e484f77d1b0e75e96c52624c1c92ff8496dd9b27eb29f70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SENIGNAMOW3CNCL2AL62DRVNIO/bundle.json","state_url":"https://pith.science/pith/SENIGNAMOW3CNCL2AL62DRVNIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SENIGNAMOW3CNCL2AL62DRVNIO/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":"2026-05-30T07:09:23Z","links":{"resolver":"https://pith.science/pith/SENIGNAMOW3CNCL2AL62DRVNIO","bundle":"https://pith.science/pith/SENIGNAMOW3CNCL2AL62DRVNIO/bundle.json","state":"https://pith.science/pith/SENIGNAMOW3CNCL2AL62DRVNIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SENIGNAMOW3CNCL2AL62DRVNIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SENIGNAMOW3CNCL2AL62DRVNIO","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":"a2dff1026e4ab7babeafc24e5a33be29db8f7446c8b6f8711b8dc8994e47d164","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-28T08:50:27Z","title_canon_sha256":"9d20bc307e7377fa095898d0d205ef36792a18a408833dd9ed8e4b39bbeb33cb"},"schema_version":"1.0","source":{"id":"1702.08696","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08696","created_at":"2026-05-18T00:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08696v3","created_at":"2026-05-18T00:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08696","created_at":"2026-05-18T00:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"SENIGNAMOW3C","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SENIGNAMOW3CNCL2","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SENIGNAM","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:fed7f70f455ba0c85e484f77d1b0e75e96c52624c1c92ff8496dd9b27eb29f70","target":"graph","created_at":"2026-05-18T00:22:40Z","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 note we show that a semisimplicial set with the weak Kan condition admits a simplicial structure, provided any object allows an idempotent self-equivalence. Moreover, any two choices of simplicial structures give rise to equivalent quasi-categories. The method is purely combinatorial and extends to semisimplicial objects in other categories; in particular to semi-simplicial spaces satisfying the Segal condition (semi-Segal spaces).","authors_text":"Wolfgang Steimle","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-28T08:50:27Z","title":"Degeneracies in quasi-categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08696","kind":"arxiv","version":3},"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:a93b872f670ec71dd03c38ce8ca8afc9d6a5a50113742f3a74ec0db7a738c4ca","target":"record","created_at":"2026-05-18T00:22:40Z","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":"a2dff1026e4ab7babeafc24e5a33be29db8f7446c8b6f8711b8dc8994e47d164","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-02-28T08:50:27Z","title_canon_sha256":"9d20bc307e7377fa095898d0d205ef36792a18a408833dd9ed8e4b39bbeb33cb"},"schema_version":"1.0","source":{"id":"1702.08696","kind":"arxiv","version":3}},"canonical_sha256":"911a83340c75b626897a02fda1c6ad43b51bcd072d2105a2d7f3b6e9e2f56272","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"911a83340c75b626897a02fda1c6ad43b51bcd072d2105a2d7f3b6e9e2f56272","first_computed_at":"2026-05-18T00:22:40.043751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:40.043751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e8JhqOZhXiqWNw9gykFmFUi+exp5BksDllxpTC/E4dEWN/Qk2EKX7tixpm5mFTRAClfNy/4DdUpI/EwgsW7VCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:40.044622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08696","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a93b872f670ec71dd03c38ce8ca8afc9d6a5a50113742f3a74ec0db7a738c4ca","sha256:fed7f70f455ba0c85e484f77d1b0e75e96c52624c1c92ff8496dd9b27eb29f70"],"state_sha256":"b2f26ca70540d2ea16fa98705f1e960daaa1897b95e73bea72ea34dd5058673f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0MKJ7gaXgtx1gDNo+ma3sDTRMTAnioCjVMpjWChv6Rhztvd9nJdkDdqNFS5UUCVT4LsgcO6ZAluxm7IJpIPSCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:09:23.855239Z","bundle_sha256":"76b7dfd9b4d62ff07bda8d76d0fd9c2d98a99cc19063aaa3b64c738dec6a1f46"}}