{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K2KRYQQBXHZYPMAON24D3WOZ4V","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":"3e527b6b7bd0d265213ae2ad63b141a3dcf3ffb6cf938f919ac299854b7eba91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-07-23T16:57:37Z","title_canon_sha256":"7fac7d7746e5d7f40a0412198bd12c135a14b2857b977ddeba7f45d5012fbab3"},"schema_version":"1.0","source":{"id":"1907.10005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.10005","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"1907.10005v1","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.10005","created_at":"2026-05-17T23:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"K2KRYQQBXHZY","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"K2KRYQQBXHZYPMAO","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"K2KRYQQB","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:214383932543b541b8da81563e078f7dd40de22cc221d876b54ce53d2296065d","target":"graph","created_at":"2026-05-17T23:39:49Z","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":"If one has a collection of large scale spaces $\\{(X_s,\\mathcal{LSS}_s)\\}_{s\\in S}$ with certain compatibility conditions one may define a large scale space on $X=\\bigcup\\limits_{s\\in S}X_s$ in a way where every function on $X$ is large scale continuous if and only if the function restricted to every $X_s$ is large scale continuous. This large scale structure is called the asymptotic filtered colimit of $\\{(X_s,\\mathcal{LSS}_s)\\}_{s\\in S}$. In this paper, we explore a wide variety of coarse invariants that are preserved between $\\{(X_s,\\mathcal{LSS}_s)\\}_{s\\in S}$ and the asymptotic filtered co","authors_text":"Kevin Sinclair, Logan Higginbotham","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-07-23T16:57:37Z","title":"Asymptotic Filtered Colimits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10005","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":"sha256:9e676c088df42e3ac17d885ae5d0e46aa12b7bd98414e32c0cdf98d2b6268c70","target":"record","created_at":"2026-05-17T23:39:49Z","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":"3e527b6b7bd0d265213ae2ad63b141a3dcf3ffb6cf938f919ac299854b7eba91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-07-23T16:57:37Z","title_canon_sha256":"7fac7d7746e5d7f40a0412198bd12c135a14b2857b977ddeba7f45d5012fbab3"},"schema_version":"1.0","source":{"id":"1907.10005","kind":"arxiv","version":1}},"canonical_sha256":"56951c4201b9f387b00e6eb83dd9d9e56e1ef285e00bb10f1929699610ed0425","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56951c4201b9f387b00e6eb83dd9d9e56e1ef285e00bb10f1929699610ed0425","first_computed_at":"2026-05-17T23:39:49.417408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:49.417408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e5xrib0Cf1WdFvADnl/kAgd9/0msrPBIB9TLi2cBuMBIapY00BD5HkeSoo3VuUszkO2KdWbi0hUpj9ju8DjFAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:49.418230Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.10005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e676c088df42e3ac17d885ae5d0e46aa12b7bd98414e32c0cdf98d2b6268c70","sha256:214383932543b541b8da81563e078f7dd40de22cc221d876b54ce53d2296065d"],"state_sha256":"71775e2c7cee97670ff41cfd04eb812c6de1b0240abe5b25ab97f87175b02e2a"}