{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KIKATJB5Y5O3R3IGHI5OCEB4RA","short_pith_number":"pith:KIKATJB5","schema_version":"1.0","canonical_sha256":"521409a43dc75db8ed063a3ae1103c88209fc564db63fb9ece73239990a5ddac","source":{"kind":"arxiv","id":"1703.06844","version":1},"attestation_state":"computed","paper":{"title":"Point-hyperplane frameworks, slider joints, and rigidity preserving transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.CO","authors_text":"Anthony Nixon, Bernd Schulze, Bill Jackson, Shin-ichi Tanigawa, Walter Whiteley, Yaser Eftekhari","submitted_at":"2017-03-20T17:01:34Z","abstract_excerpt":"A one-to-one correspondence between the infinitesimal motions of bar-joint frameworks in $\\mathbb{R}^d$ and those in $\\mathbb{S}^d$ is a classical observation by Pogorelov, and further connections among different rigidity models in various different spaces have been extensively studied. In this paper, we shall extend this line of research to include the infinitesimal rigidity of frameworks consisting of points and hyperplanes. This enables us to understand correspondences between point-hyperplane rigidity, classical bar-joint rigidity, and scene analysis.\n  Among other results, we derive a com"},"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":"1703.06844","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-03-20T17:01:34Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"adf4e382c1fd39593e53a47ef0c34c9073ee63946ccd09100cc486d63a642024","abstract_canon_sha256":"50abbbbece2f375755646e1f9be760b7f9be83afc881833e23e9283ee819b106"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:21.573662Z","signature_b64":"16qIyKt4bGFQaKJjFN+vpjM4jPmZwcp/AT5adevBwH71DEOt0oLfwGeYPQ/j0s1MK/eieIx8oGcQwtcVaubmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"521409a43dc75db8ed063a3ae1103c88209fc564db63fb9ece73239990a5ddac","last_reissued_at":"2026-05-18T00:48:21.572927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:21.572927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Point-hyperplane frameworks, slider joints, and rigidity preserving transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.CO","authors_text":"Anthony Nixon, Bernd Schulze, Bill Jackson, Shin-ichi Tanigawa, Walter Whiteley, Yaser Eftekhari","submitted_at":"2017-03-20T17:01:34Z","abstract_excerpt":"A one-to-one correspondence between the infinitesimal motions of bar-joint frameworks in $\\mathbb{R}^d$ and those in $\\mathbb{S}^d$ is a classical observation by Pogorelov, and further connections among different rigidity models in various different spaces have been extensively studied. In this paper, we shall extend this line of research to include the infinitesimal rigidity of frameworks consisting of points and hyperplanes. This enables us to understand correspondences between point-hyperplane rigidity, classical bar-joint rigidity, and scene analysis.\n  Among other results, we derive a com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06844","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.06844","created_at":"2026-05-18T00:48:21.573048+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.06844v1","created_at":"2026-05-18T00:48:21.573048+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06844","created_at":"2026-05-18T00:48:21.573048+00:00"},{"alias_kind":"pith_short_12","alias_value":"KIKATJB5Y5O3","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KIKATJB5Y5O3R3IG","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KIKATJB5","created_at":"2026-05-18T12:31:24.725408+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/KIKATJB5Y5O3R3IGHI5OCEB4RA","json":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA.json","graph_json":"https://pith.science/api/pith-number/KIKATJB5Y5O3R3IGHI5OCEB4RA/graph.json","events_json":"https://pith.science/api/pith-number/KIKATJB5Y5O3R3IGHI5OCEB4RA/events.json","paper":"https://pith.science/paper/KIKATJB5"},"agent_actions":{"view_html":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA","download_json":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA.json","view_paper":"https://pith.science/paper/KIKATJB5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.06844&json=true","fetch_graph":"https://pith.science/api/pith-number/KIKATJB5Y5O3R3IGHI5OCEB4RA/graph.json","fetch_events":"https://pith.science/api/pith-number/KIKATJB5Y5O3R3IGHI5OCEB4RA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA/action/storage_attestation","attest_author":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA/action/author_attestation","sign_citation":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA/action/citation_signature","submit_replication":"https://pith.science/pith/KIKATJB5Y5O3R3IGHI5OCEB4RA/action/replication_record"}},"created_at":"2026-05-18T00:48:21.573048+00:00","updated_at":"2026-05-18T00:48:21.573048+00:00"}