{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:C25FSOIRQLY7QAKUQEHMYZOFOG","short_pith_number":"pith:C25FSOIR","canonical_record":{"source":{"id":"1511.09130","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-11-30T01:59:47Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"6cc493573922deba6990fb9a738ccc283b1ce53aeb7f5d3869411c9e28e07334","abstract_canon_sha256":"61e7bbbb7638f3caab92d74211de2999eb79e309d10829c74e51be774c300b4b"},"schema_version":"1.0"},"canonical_sha256":"16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57","source":{"kind":"arxiv","id":"1511.09130","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09130","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09130v3","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09130","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"C25FSOIRQLY7","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C25FSOIRQLY7QAKU","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C25FSOIR","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:C25FSOIRQLY7QAKUQEHMYZOFOG","target":"record","payload":{"canonical_record":{"source":{"id":"1511.09130","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-11-30T01:59:47Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"6cc493573922deba6990fb9a738ccc283b1ce53aeb7f5d3869411c9e28e07334","abstract_canon_sha256":"61e7bbbb7638f3caab92d74211de2999eb79e309d10829c74e51be774c300b4b"},"schema_version":"1.0"},"canonical_sha256":"16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:32.158614Z","signature_b64":"CORDT85HSbb+oORjY1WQ8FT4T7lBEH6A93n+Ivqj53aM4K9HTmTq1yD9IeTjgj1wC2ahB+FP6bwy8lkkzs++CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57","last_reissued_at":"2026-05-18T01:09:32.158050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:32.158050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.09130","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":"2026-05-18T01:09:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4LETHv5BGGuEojq3CEexFON0l6j39vbT2CF4QCVU6mKwRrvqKtyL6/hyK7o3x3Hksv9W6om/4pg0onLbeQYKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:22:42.272904Z"},"content_sha256":"c7b5b2b2902babbc52b5b80352cefb61e89a9f34f78362599c02ebd8b32f9f32","schema_version":"1.0","event_id":"sha256:c7b5b2b2902babbc52b5b80352cefb61e89a9f34f78362599c02ebd8b32f9f32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:C25FSOIRQLY7QAKUQEHMYZOFOG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An operadic proof of Baez-Dolan stabilization hypothesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Michael Batanin","submitted_at":"2015-11-30T01:59:47Z","abstract_excerpt":"We prove a stabilization theorem for algebras of n-operads in a monoidal model category. It implies a version of Baez-Dolan stabilization hypothesis for Rezk's weak n-categories and some other stabilization results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09130","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":"2026-05-18T01:09:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+dO2Zj8FgYmtmtTZJROJgbAeZvcTpbMhYWBO3cuTI3cGMaSUD+KPZLFGRYc121h942o1MbxR479ucbppA5GOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:22:42.273247Z"},"content_sha256":"8059f3866717539199925d40b5a1b09d58a306c53d75d80b41d05db0c8f0dfa3","schema_version":"1.0","event_id":"sha256:8059f3866717539199925d40b5a1b09d58a306c53d75d80b41d05db0c8f0dfa3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C25FSOIRQLY7QAKUQEHMYZOFOG/bundle.json","state_url":"https://pith.science/pith/C25FSOIRQLY7QAKUQEHMYZOFOG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C25FSOIRQLY7QAKUQEHMYZOFOG/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":"2026-06-02T01:22:42Z","links":{"resolver":"https://pith.science/pith/C25FSOIRQLY7QAKUQEHMYZOFOG","bundle":"https://pith.science/pith/C25FSOIRQLY7QAKUQEHMYZOFOG/bundle.json","state":"https://pith.science/pith/C25FSOIRQLY7QAKUQEHMYZOFOG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C25FSOIRQLY7QAKUQEHMYZOFOG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:C25FSOIRQLY7QAKUQEHMYZOFOG","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":"61e7bbbb7638f3caab92d74211de2999eb79e309d10829c74e51be774c300b4b","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-11-30T01:59:47Z","title_canon_sha256":"6cc493573922deba6990fb9a738ccc283b1ce53aeb7f5d3869411c9e28e07334"},"schema_version":"1.0","source":{"id":"1511.09130","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09130","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09130v3","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09130","created_at":"2026-05-18T01:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"C25FSOIRQLY7","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C25FSOIRQLY7QAKU","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C25FSOIR","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:8059f3866717539199925d40b5a1b09d58a306c53d75d80b41d05db0c8f0dfa3","target":"graph","created_at":"2026-05-18T01:09:32Z","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 prove a stabilization theorem for algebras of n-operads in a monoidal model category. It implies a version of Baez-Dolan stabilization hypothesis for Rezk's weak n-categories and some other stabilization results.","authors_text":"Michael Batanin","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-11-30T01:59:47Z","title":"An operadic proof of Baez-Dolan stabilization hypothesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09130","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:c7b5b2b2902babbc52b5b80352cefb61e89a9f34f78362599c02ebd8b32f9f32","target":"record","created_at":"2026-05-18T01:09:32Z","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":"61e7bbbb7638f3caab92d74211de2999eb79e309d10829c74e51be774c300b4b","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-11-30T01:59:47Z","title_canon_sha256":"6cc493573922deba6990fb9a738ccc283b1ce53aeb7f5d3869411c9e28e07334"},"schema_version":"1.0","source":{"id":"1511.09130","kind":"arxiv","version":3}},"canonical_sha256":"16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16ba59391182f1f80154810ecc65c571b85b3b1cffe07b19d9bd919da2a5de57","first_computed_at":"2026-05-18T01:09:32.158050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:32.158050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CORDT85HSbb+oORjY1WQ8FT4T7lBEH6A93n+Ivqj53aM4K9HTmTq1yD9IeTjgj1wC2ahB+FP6bwy8lkkzs++CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:32.158614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.09130","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7b5b2b2902babbc52b5b80352cefb61e89a9f34f78362599c02ebd8b32f9f32","sha256:8059f3866717539199925d40b5a1b09d58a306c53d75d80b41d05db0c8f0dfa3"],"state_sha256":"8ec0ec7510ba6967bd198f5053d7d13a4fc5746171ef8bb1e94f826cca20cb36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icxR7smTUk0vkIEcNoRush8edsW7LvTC0JLpwHLc9jGaqqXQScYwVNSLVfDkcofuVYl4uqEm7p3e6N2ysdMLCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:22:42.275235Z","bundle_sha256":"5f978dde6c1f55871dee0c771dc6b2a8cfa581db486eb67a7e7c938fbe4bcf41"}}