{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3H7GI4DZ66Q2LZNQGYDRPGPL7X","short_pith_number":"pith:3H7GI4DZ","canonical_record":{"source":{"id":"1712.00238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-12-01T09:07:14Z","cross_cats_sorted":["cs.CV","cs.GR","cs.RO"],"title_canon_sha256":"5601d8a391e5e32f6e2dc884e64c69193a5864317a26fea55005ebeca7eb9e37","abstract_canon_sha256":"6eb30dd7adbf36644e800bfc70fdc19b9ec5eae51c69a02de29aa9ab365abb0e"},"schema_version":"1.0"},"canonical_sha256":"d9fe647079f7a1a5e5b036071799ebfdf91ec4293500326e49eabe96765008ec","source":{"kind":"arxiv","id":"1712.00238","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00238","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00238v1","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00238","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"pith_short_12","alias_value":"3H7GI4DZ66Q2","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3H7GI4DZ66Q2LZNQ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3H7GI4DZ","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3H7GI4DZ66Q2LZNQGYDRPGPL7X","target":"record","payload":{"canonical_record":{"source":{"id":"1712.00238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-12-01T09:07:14Z","cross_cats_sorted":["cs.CV","cs.GR","cs.RO"],"title_canon_sha256":"5601d8a391e5e32f6e2dc884e64c69193a5864317a26fea55005ebeca7eb9e37","abstract_canon_sha256":"6eb30dd7adbf36644e800bfc70fdc19b9ec5eae51c69a02de29aa9ab365abb0e"},"schema_version":"1.0"},"canonical_sha256":"d9fe647079f7a1a5e5b036071799ebfdf91ec4293500326e49eabe96765008ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:00.744081Z","signature_b64":"46atue8TL8/Ryz3KRuXAlAC+aUxMgrgPvhScikdss3ZBXRAdH1CSxjeds7vx/TVNMQM9Yk8PIRnG0ozLmJkUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9fe647079f7a1a5e5b036071799ebfdf91ec4293500326e49eabe96765008ec","last_reissued_at":"2026-05-18T00:29:00.743541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:00.743541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.00238","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":"2026-05-18T00:29:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZlfyJmB6BYgN1KdSoylXKoPilHi2D++MdHO3RlgRVfCpMIw1MtHwybYMENxN/ubyAhnawOTp4O6th+SBGlKZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:59:39.102294Z"},"content_sha256":"245a12968750ddda666cd1adaf6f88fe2e9fd58a5f563775914b03c3d8313dff","schema_version":"1.0","event_id":"sha256:245a12968750ddda666cd1adaf6f88fe2e9fd58a5f563775914b03c3d8313dff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3H7GI4DZ66Q2LZNQGYDRPGPL7X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shape Complementarity Analysis for Objects of Arbitrary Shape","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","cs.GR","cs.RO"],"primary_cat":"cs.CG","authors_text":"Horea T. Ilies, Morad Behandish","submitted_at":"2017-12-01T09:07:14Z","abstract_excerpt":"The basic problem of shape complementarity analysis appears fundamental to applications as diverse as mechanical design, assembly automation, robot motion planning, micro- and nano-fabrication, protein-ligand binding, and rational drug design. However, the current challenge lies in the lack of a general mathematical formulation that applies to objects of arbitrary shape. We propose that a measure of shape complementarity can be obtained from the extent of approximate overlap between shape skeletons. A space-continuous implicit generalization of the skeleton, called the skeletal density functio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00238","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":"2026-05-18T00:29:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wAYG9aIhrOwsep3T+sVSDFMK9PUT2yz7Yka0fGjSoOJbFFOJpYBYZgNsBou6xO9qUTq+gvnCB0q8GL7VVH31CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:59:39.102651Z"},"content_sha256":"1deca43ba646a19680a9a94fef3bde0ba9fa865592d6499bfc929ef8756d6b7a","schema_version":"1.0","event_id":"sha256:1deca43ba646a19680a9a94fef3bde0ba9fa865592d6499bfc929ef8756d6b7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X/bundle.json","state_url":"https://pith.science/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X/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":"2026-06-29T14:59:39Z","links":{"resolver":"https://pith.science/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X","bundle":"https://pith.science/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X/bundle.json","state":"https://pith.science/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3H7GI4DZ66Q2LZNQGYDRPGPL7X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3H7GI4DZ66Q2LZNQGYDRPGPL7X","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":"6eb30dd7adbf36644e800bfc70fdc19b9ec5eae51c69a02de29aa9ab365abb0e","cross_cats_sorted":["cs.CV","cs.GR","cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-12-01T09:07:14Z","title_canon_sha256":"5601d8a391e5e32f6e2dc884e64c69193a5864317a26fea55005ebeca7eb9e37"},"schema_version":"1.0","source":{"id":"1712.00238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00238","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00238v1","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00238","created_at":"2026-05-18T00:29:00Z"},{"alias_kind":"pith_short_12","alias_value":"3H7GI4DZ66Q2","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3H7GI4DZ66Q2LZNQ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3H7GI4DZ","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:1deca43ba646a19680a9a94fef3bde0ba9fa865592d6499bfc929ef8756d6b7a","target":"graph","created_at":"2026-05-18T00:29:00Z","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":"The basic problem of shape complementarity analysis appears fundamental to applications as diverse as mechanical design, assembly automation, robot motion planning, micro- and nano-fabrication, protein-ligand binding, and rational drug design. However, the current challenge lies in the lack of a general mathematical formulation that applies to objects of arbitrary shape. We propose that a measure of shape complementarity can be obtained from the extent of approximate overlap between shape skeletons. A space-continuous implicit generalization of the skeleton, called the skeletal density functio","authors_text":"Horea T. Ilies, Morad Behandish","cross_cats":["cs.CV","cs.GR","cs.RO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-12-01T09:07:14Z","title":"Shape Complementarity Analysis for Objects of Arbitrary Shape"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00238","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":"sha256:245a12968750ddda666cd1adaf6f88fe2e9fd58a5f563775914b03c3d8313dff","target":"record","created_at":"2026-05-18T00:29:00Z","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":"6eb30dd7adbf36644e800bfc70fdc19b9ec5eae51c69a02de29aa9ab365abb0e","cross_cats_sorted":["cs.CV","cs.GR","cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-12-01T09:07:14Z","title_canon_sha256":"5601d8a391e5e32f6e2dc884e64c69193a5864317a26fea55005ebeca7eb9e37"},"schema_version":"1.0","source":{"id":"1712.00238","kind":"arxiv","version":1}},"canonical_sha256":"d9fe647079f7a1a5e5b036071799ebfdf91ec4293500326e49eabe96765008ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9fe647079f7a1a5e5b036071799ebfdf91ec4293500326e49eabe96765008ec","first_computed_at":"2026-05-18T00:29:00.743541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:00.743541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"46atue8TL8/Ryz3KRuXAlAC+aUxMgrgPvhScikdss3ZBXRAdH1CSxjeds7vx/TVNMQM9Yk8PIRnG0ozLmJkUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:00.744081Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:245a12968750ddda666cd1adaf6f88fe2e9fd58a5f563775914b03c3d8313dff","sha256:1deca43ba646a19680a9a94fef3bde0ba9fa865592d6499bfc929ef8756d6b7a"],"state_sha256":"a3c66be641add110112992dc70043c47d1e83861aa6770198bd39526d1b29f86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"arkSLVwEuB+XDfTFk9LjDX72hZB0U25Rpf25JhxVt16uu0OHa6h4suXZuMJtSc51ofMc39fHPGirZJJNC0vzBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T14:59:39.104504Z","bundle_sha256":"d08b2354afc624256f8c0d98ae2f32081f61fd2870aff394238b2ea09b76b75b"}}