{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:G4NXZZEC2EBGGGQ6U2NMYUUJNY","short_pith_number":"pith:G4NXZZEC","schema_version":"1.0","canonical_sha256":"371b7ce482d102631a1ea69acc52896e1b76fd71f3bac787fbbe620ba890d025","source":{"kind":"arxiv","id":"1707.03048","version":2},"attestation_state":"computed","paper":{"title":"Low stages of the Taylor tower for r-immersions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Bridget Schreiner, Franjo Sarcevic, Ismar Volic","submitted_at":"2017-07-10T20:20:41Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.03048","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-07-10T20:20:41Z","cross_cats_sorted":[],"title_canon_sha256":"8e49aa0ef93778b7e3ec68253b9ebe235f6476fbb0c9ff7d1e70be50fa9c1946","abstract_canon_sha256":"760575512c88688b1a14667cac1cf6e2590d9dad7ea4f4baf478058acb06fa6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:38:22.866631Z","signature_b64":"bx3iBluFh8pHrC3039CZIRvdKqlxeX8fAN4IAEwb0Kco4hvaXXoH/Z2ptAT1jUkrmZP7HtjjHIHITKMxe+GmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"371b7ce482d102631a1ea69acc52896e1b76fd71f3bac787fbbe620ba890d025","last_reissued_at":"2026-07-05T00:38:22.866217Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:38:22.866217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low stages of the Taylor tower for r-immersions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Bridget Schreiner, Franjo Sarcevic, Ismar Volic","submitted_at":"2017-07-10T20:20:41Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03048","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1707.03048/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.03048","created_at":"2026-07-05T00:38:22.866278+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.03048v2","created_at":"2026-07-05T00:38:22.866278+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03048","created_at":"2026-07-05T00:38:22.866278+00:00"},{"alias_kind":"pith_short_12","alias_value":"G4NXZZEC2EBG","created_at":"2026-07-05T00:38:22.866278+00:00"},{"alias_kind":"pith_short_16","alias_value":"G4NXZZEC2EBGGGQ6","created_at":"2026-07-05T00:38:22.866278+00:00"},{"alias_kind":"pith_short_8","alias_value":"G4NXZZEC","created_at":"2026-07-05T00:38:22.866278+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY","json":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY.json","graph_json":"https://pith.science/api/pith-number/G4NXZZEC2EBGGGQ6U2NMYUUJNY/graph.json","events_json":"https://pith.science/api/pith-number/G4NXZZEC2EBGGGQ6U2NMYUUJNY/events.json","paper":"https://pith.science/paper/G4NXZZEC"},"agent_actions":{"view_html":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY","download_json":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY.json","view_paper":"https://pith.science/paper/G4NXZZEC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.03048&json=true","fetch_graph":"https://pith.science/api/pith-number/G4NXZZEC2EBGGGQ6U2NMYUUJNY/graph.json","fetch_events":"https://pith.science/api/pith-number/G4NXZZEC2EBGGGQ6U2NMYUUJNY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY/action/storage_attestation","attest_author":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY/action/author_attestation","sign_citation":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY/action/citation_signature","submit_replication":"https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY/action/replication_record"}},"created_at":"2026-07-05T00:38:22.866278+00:00","updated_at":"2026-07-05T00:38:22.866278+00:00"}