{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YYRCDGFICNUA6YNNT3YKCEKDAB","short_pith_number":"pith:YYRCDGFI","schema_version":"1.0","canonical_sha256":"c6222198a813680f61ad9ef0a11143005fa9d6580f8fb741db2a764e8b799049","source":{"kind":"arxiv","id":"1309.6558","version":1},"attestation_state":"computed","paper":{"title":"The Theory of Bonds II: Closed 6R Linkages with Maximal Genus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"G\\'abor Heged\\\"us, Hans-Peter Schr\\\"ocker, Josef Schicho, Zijia Li","submitted_at":"2013-09-25T16:17:10Z","abstract_excerpt":"In this paper, we introduce a method that allows to produce necessary conditions on the Denavit--Hartenberg parameters for the mobility of a closed linkage with six rotational joints. We use it to prove that the genus of the configuration curve of a such a linkage is at most five, and to give a complete classification of the linkages with a configuration curve of degree four or five. The classification contains new families."},"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":"1309.6558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-25T16:17:10Z","cross_cats_sorted":[],"title_canon_sha256":"725e74d0fe09a94b5bac2e64347b4b29605ba586ddff6e989cb007b3eef68b5e","abstract_canon_sha256":"41333ad07064c4cb537931f25b6557d01b142e402285bc30232bb6578fd80209"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:37.069530Z","signature_b64":"Zt6j9gDoO+k7moXrNWDWc1WQILfBX2rg8l1k5g7sFAKbnjW3ISq0ZHxK7D7IPv/F1fpe4u1SXcJsAay/I7V+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6222198a813680f61ad9ef0a11143005fa9d6580f8fb741db2a764e8b799049","last_reissued_at":"2026-05-18T00:09:37.068845Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:37.068845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Theory of Bonds II: Closed 6R Linkages with Maximal Genus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"G\\'abor Heged\\\"us, Hans-Peter Schr\\\"ocker, Josef Schicho, Zijia Li","submitted_at":"2013-09-25T16:17:10Z","abstract_excerpt":"In this paper, we introduce a method that allows to produce necessary conditions on the Denavit--Hartenberg parameters for the mobility of a closed linkage with six rotational joints. We use it to prove that the genus of the configuration curve of a such a linkage is at most five, and to give a complete classification of the linkages with a configuration curve of degree four or five. The classification contains new families."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6558","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":"1309.6558","created_at":"2026-05-18T00:09:37.068987+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.6558v1","created_at":"2026-05-18T00:09:37.068987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6558","created_at":"2026-05-18T00:09:37.068987+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYRCDGFICNUA","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYRCDGFICNUA6YNN","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYRCDGFI","created_at":"2026-05-18T12:28:09.283467+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/YYRCDGFICNUA6YNNT3YKCEKDAB","json":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB.json","graph_json":"https://pith.science/api/pith-number/YYRCDGFICNUA6YNNT3YKCEKDAB/graph.json","events_json":"https://pith.science/api/pith-number/YYRCDGFICNUA6YNNT3YKCEKDAB/events.json","paper":"https://pith.science/paper/YYRCDGFI"},"agent_actions":{"view_html":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB","download_json":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB.json","view_paper":"https://pith.science/paper/YYRCDGFI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.6558&json=true","fetch_graph":"https://pith.science/api/pith-number/YYRCDGFICNUA6YNNT3YKCEKDAB/graph.json","fetch_events":"https://pith.science/api/pith-number/YYRCDGFICNUA6YNNT3YKCEKDAB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB/action/storage_attestation","attest_author":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB/action/author_attestation","sign_citation":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB/action/citation_signature","submit_replication":"https://pith.science/pith/YYRCDGFICNUA6YNNT3YKCEKDAB/action/replication_record"}},"created_at":"2026-05-18T00:09:37.068987+00:00","updated_at":"2026-05-18T00:09:37.068987+00:00"}