{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GFKGEA4NJSREOUA6UZIOFMZYMM","short_pith_number":"pith:GFKGEA4N","canonical_record":{"source":{"id":"1305.7351","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-05-31T10:45:32Z","cross_cats_sorted":[],"title_canon_sha256":"827d6f8e7a928bfa4aed927bf3f1248c1aaa2387376e2b170e4971427251e891","abstract_canon_sha256":"6b559fd4035e6e27f8fec0c96eee803c60d5cff48c8058a1012940db2d32f64c"},"schema_version":"1.0"},"canonical_sha256":"315462038d4ca247501ea650e2b33863223490a6b6f5fbf957bb6fc44d4a0420","source":{"kind":"arxiv","id":"1305.7351","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7351","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7351v1","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7351","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"GFKGEA4NJSRE","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GFKGEA4NJSREOUA6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GFKGEA4N","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GFKGEA4NJSREOUA6UZIOFMZYMM","target":"record","payload":{"canonical_record":{"source":{"id":"1305.7351","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-05-31T10:45:32Z","cross_cats_sorted":[],"title_canon_sha256":"827d6f8e7a928bfa4aed927bf3f1248c1aaa2387376e2b170e4971427251e891","abstract_canon_sha256":"6b559fd4035e6e27f8fec0c96eee803c60d5cff48c8058a1012940db2d32f64c"},"schema_version":"1.0"},"canonical_sha256":"315462038d4ca247501ea650e2b33863223490a6b6f5fbf957bb6fc44d4a0420","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:07.134950Z","signature_b64":"1bvBOzc7YK5XnOgzziBN3+VqyB6QHEkgp7jvxHfkOjXBSX9Xw2KB+cc9dymKrUgwE0shbrEx1GE+frKdMHk7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"315462038d4ca247501ea650e2b33863223490a6b6f5fbf957bb6fc44d4a0420","last_reissued_at":"2026-05-18T03:22:07.134233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:07.134233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.7351","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HNTmytX/OPjmMSQoh7zN1afUWax/ImkNgSj9uPrHT/caN1kE2M7fLp7442pak6umciPj/4ldJGL7aDCkkZu3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:26:22.674175Z"},"content_sha256":"f5829d0d16f01e4d4b4b4d48a71020bf013eaf87a7a4b888f332c5f8eb848594","schema_version":"1.0","event_id":"sha256:f5829d0d16f01e4d4b4b4d48a71020bf013eaf87a7a4b888f332c5f8eb848594"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GFKGEA4NJSREOUA6UZIOFMZYMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local and Global Analysis of Parametric Solid Sweeps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Bharat Adsul, Jinesh Machchhar, Milind Sohoni","submitted_at":"2013-05-31T10:45:32Z","abstract_excerpt":"In this work, we propose a detailed computational framework for modelling the envelope of the swept volume, that is the boundary of the volume obtained by sweeping an input solid along a trajectory of rigid motions. Our framework is adapted to the well-established industry-standard brep format to enable its implementation in modern CAD systems. This is achieved via a \"local analysis\", which covers parametrization and singularities, as well as a \"global theory\" which tackles face-boundaries, self-intersections and trim curves. Central to the local analysis is the \"funnel\" which serves as a natu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7351","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GvIAyyixxGnPKakSU4n+G9TmNNT+FLvAWt26gCzAlJf2wL20cxkkZk8bKDIKs323vb1fXJalAsU9kr9R+tnXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:26:22.674812Z"},"content_sha256":"f3d9d6bc9bdc6875843fd2a2c473c64f780511b1a42b3c245fd8bdb892d04340","schema_version":"1.0","event_id":"sha256:f3d9d6bc9bdc6875843fd2a2c473c64f780511b1a42b3c245fd8bdb892d04340"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GFKGEA4NJSREOUA6UZIOFMZYMM/bundle.json","state_url":"https://pith.science/pith/GFKGEA4NJSREOUA6UZIOFMZYMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GFKGEA4NJSREOUA6UZIOFMZYMM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T21:26:22Z","links":{"resolver":"https://pith.science/pith/GFKGEA4NJSREOUA6UZIOFMZYMM","bundle":"https://pith.science/pith/GFKGEA4NJSREOUA6UZIOFMZYMM/bundle.json","state":"https://pith.science/pith/GFKGEA4NJSREOUA6UZIOFMZYMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GFKGEA4NJSREOUA6UZIOFMZYMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GFKGEA4NJSREOUA6UZIOFMZYMM","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":"6b559fd4035e6e27f8fec0c96eee803c60d5cff48c8058a1012940db2d32f64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-05-31T10:45:32Z","title_canon_sha256":"827d6f8e7a928bfa4aed927bf3f1248c1aaa2387376e2b170e4971427251e891"},"schema_version":"1.0","source":{"id":"1305.7351","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7351","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7351v1","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7351","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"GFKGEA4NJSRE","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GFKGEA4NJSREOUA6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GFKGEA4N","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:f3d9d6bc9bdc6875843fd2a2c473c64f780511b1a42b3c245fd8bdb892d04340","target":"graph","created_at":"2026-05-18T03:22:07Z","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":"In this work, we propose a detailed computational framework for modelling the envelope of the swept volume, that is the boundary of the volume obtained by sweeping an input solid along a trajectory of rigid motions. Our framework is adapted to the well-established industry-standard brep format to enable its implementation in modern CAD systems. This is achieved via a \"local analysis\", which covers parametrization and singularities, as well as a \"global theory\" which tackles face-boundaries, self-intersections and trim curves. Central to the local analysis is the \"funnel\" which serves as a natu","authors_text":"Bharat Adsul, Jinesh Machchhar, Milind Sohoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-05-31T10:45:32Z","title":"Local and Global Analysis of Parametric Solid Sweeps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7351","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:f5829d0d16f01e4d4b4b4d48a71020bf013eaf87a7a4b888f332c5f8eb848594","target":"record","created_at":"2026-05-18T03:22:07Z","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":"6b559fd4035e6e27f8fec0c96eee803c60d5cff48c8058a1012940db2d32f64c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-05-31T10:45:32Z","title_canon_sha256":"827d6f8e7a928bfa4aed927bf3f1248c1aaa2387376e2b170e4971427251e891"},"schema_version":"1.0","source":{"id":"1305.7351","kind":"arxiv","version":1}},"canonical_sha256":"315462038d4ca247501ea650e2b33863223490a6b6f5fbf957bb6fc44d4a0420","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"315462038d4ca247501ea650e2b33863223490a6b6f5fbf957bb6fc44d4a0420","first_computed_at":"2026-05-18T03:22:07.134233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:07.134233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1bvBOzc7YK5XnOgzziBN3+VqyB6QHEkgp7jvxHfkOjXBSX9Xw2KB+cc9dymKrUgwE0shbrEx1GE+frKdMHk7BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:07.134950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7351","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5829d0d16f01e4d4b4b4d48a71020bf013eaf87a7a4b888f332c5f8eb848594","sha256:f3d9d6bc9bdc6875843fd2a2c473c64f780511b1a42b3c245fd8bdb892d04340"],"state_sha256":"77ae400da082be2a173c2aaaa8d5e14d03263ceff23b5d4ffa349c3b4ca6a307"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WBR67fHltqZMb3u4/2i1oV5t3gUU+Sov8CL7bm5Y8HdyF0iwk4x6HL5quQrNgqutAPN/ZRCFWZKAKxgv5ukHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:26:22.678673Z","bundle_sha256":"4f601d9e6cd84319d0e78995f5b273697fcd6db92c77c2a95e59161d5c12ce00"}}