{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:G4NXZZEC2EBGGGQ6U2NMYUUJNY","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":"760575512c88688b1a14667cac1cf6e2590d9dad7ea4f4baf478058acb06fa6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-07-10T20:20:41Z","title_canon_sha256":"8e49aa0ef93778b7e3ec68253b9ebe235f6476fbb0c9ff7d1e70be50fa9c1946"},"schema_version":"1.0","source":{"id":"1707.03048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03048","created_at":"2026-07-05T00:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03048v2","created_at":"2026-07-05T00:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03048","created_at":"2026-07-05T00:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"G4NXZZEC2EBG","created_at":"2026-07-05T00:38:22Z"},{"alias_kind":"pith_short_16","alias_value":"G4NXZZEC2EBGGGQ6","created_at":"2026-07-05T00:38:22Z"},{"alias_kind":"pith_short_8","alias_value":"G4NXZZEC","created_at":"2026-07-05T00:38:22Z"}],"graph_snapshots":[{"event_id":"sha256:78afab390d3e463be8e1c9c6578a9b4e5b6c0c01fa7c7791418fb7c9efb8ea05","target":"graph","created_at":"2026-07-05T00:38:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1707.03048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the beginning of the Taylor tower, supplied by manifold calculus of functors, for the space of r-immersions, which are immersions without r-fold self-intersections. We describe the first r layers of the tower and discuss the connectivities of the associated maps. We also prove several results about r-immersions that are of independent interest.","authors_text":"Bridget Schreiner, Franjo Sarcevic, Ismar Volic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-07-10T20:20:41Z","title":"Low stages of the Taylor tower for r-immersions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03048","kind":"arxiv","version":2},"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":"sha256:64980c89ba70b284bb5d36a8d2f3639fda8da05c90605a024a310850218b3151","target":"record","created_at":"2026-07-05T00:38:22Z","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":"760575512c88688b1a14667cac1cf6e2590d9dad7ea4f4baf478058acb06fa6b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-07-10T20:20:41Z","title_canon_sha256":"8e49aa0ef93778b7e3ec68253b9ebe235f6476fbb0c9ff7d1e70be50fa9c1946"},"schema_version":"1.0","source":{"id":"1707.03048","kind":"arxiv","version":2}},"canonical_sha256":"371b7ce482d102631a1ea69acc52896e1b76fd71f3bac787fbbe620ba890d025","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"371b7ce482d102631a1ea69acc52896e1b76fd71f3bac787fbbe620ba890d025","first_computed_at":"2026-07-05T00:38:22.866217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:38:22.866217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bx3iBluFh8pHrC3039CZIRvdKqlxeX8fAN4IAEwb0Kco4hvaXXoH/Z2ptAT1jUkrmZP7HtjjHIHITKMxe+GmDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:38:22.866631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64980c89ba70b284bb5d36a8d2f3639fda8da05c90605a024a310850218b3151","sha256:78afab390d3e463be8e1c9c6578a9b4e5b6c0c01fa7c7791418fb7c9efb8ea05"],"state_sha256":"3f49a85ff197d03a46babe69aeb093ad91351e92e9781ebc97bfc8ea753f463d"}