{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2FKWCJ5VCXK3WRRXL5RT5CMZLL","short_pith_number":"pith:2FKWCJ5V","canonical_record":{"source":{"id":"1308.3917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2013-08-19T03:34:21Z","cross_cats_sorted":[],"title_canon_sha256":"050a1fecef5d7ae0e0a0f7f7a54fc637a0f4d6d3744c677be4920fa958e50c0d","abstract_canon_sha256":"ff7bb4239061fb367e5fcf027d0a4f4a554a9bf4b97c6536f22b53fc25ab85ca"},"schema_version":"1.0"},"canonical_sha256":"d1556127b515d5bb46375f633e89995aeac07a67b5424f92a9f46c1e29f71c65","source":{"kind":"arxiv","id":"1308.3917","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3917","created_at":"2026-05-18T03:15:35Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3917v1","created_at":"2026-05-18T03:15:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3917","created_at":"2026-05-18T03:15:35Z"},{"alias_kind":"pith_short_12","alias_value":"2FKWCJ5VCXK3","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2FKWCJ5VCXK3WRRX","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2FKWCJ5V","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2FKWCJ5VCXK3WRRXL5RT5CMZLL","target":"record","payload":{"canonical_record":{"source":{"id":"1308.3917","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2013-08-19T03:34:21Z","cross_cats_sorted":[],"title_canon_sha256":"050a1fecef5d7ae0e0a0f7f7a54fc637a0f4d6d3744c677be4920fa958e50c0d","abstract_canon_sha256":"ff7bb4239061fb367e5fcf027d0a4f4a554a9bf4b97c6536f22b53fc25ab85ca"},"schema_version":"1.0"},"canonical_sha256":"d1556127b515d5bb46375f633e89995aeac07a67b5424f92a9f46c1e29f71c65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:35.285380Z","signature_b64":"A308bnIpsG5f/B+ek8X6SE9QxlJBvFxkjFP2NAitGHE27mF7oVhQotNWDY5GoyE6KBsWdEgtNts+HVO9sw/TAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1556127b515d5bb46375f633e89995aeac07a67b5424f92a9f46c1e29f71c65","last_reissued_at":"2026-05-18T03:15:35.284723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:35.284723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.3917","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":"2026-05-18T03:15:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BT7ylcp0dJjg5rywwX+MOHIyA2W1yMHLNcMFM4yca11LwlO223GZNc+5uMpzCTg2aC9moWkVQhF/Ea120I57Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:20:36.250442Z"},"content_sha256":"9d01fcf4bb3c262ee4e4bce133f9990f537005e9826226d33a1f01f805a8609a","schema_version":"1.0","event_id":"sha256:9d01fcf4bb3c262ee4e4bce133f9990f537005e9826226d33a1f01f805a8609a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2FKWCJ5VCXK3WRRXL5RT5CMZLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Medial Meshes for Volume Approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Feng Sun, Wenping Wang, Yi-King Choi, Yizhou Yu","submitted_at":"2013-08-19T03:34:21Z","abstract_excerpt":"Volume approximation is an important problem found in many applications of computer graphics, vision, and image processing. The problem is about computing an accurate and compact approximate representation of 3D volumes using some simple primitives. In this study, we propose a new volume representation, called medial meshes, and present an efficient method for its computation. Specifically, we use the union of a novel type of simple volume primitives, which are spheres and the convex hulls of two or three spheres, to approximate a given 3D shape. We compute such a volume approximation based on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3917","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":"2026-05-18T03:15:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZPpNlrZZQDbm16iJM5NkWXLl2RrIzw8+6TyMTO7w5dbaKSRFAPsluQwEOzt5/oCDNFyVWhxai0PBpfYJNEatCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:20:36.250870Z"},"content_sha256":"8a941607126c933def6b3a306d0f97aff3a4afdcc10d63243d0e360a96a44f6e","schema_version":"1.0","event_id":"sha256:8a941607126c933def6b3a306d0f97aff3a4afdcc10d63243d0e360a96a44f6e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL/bundle.json","state_url":"https://pith.science/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL/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":"2026-05-25T13:20:36Z","links":{"resolver":"https://pith.science/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL","bundle":"https://pith.science/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL/bundle.json","state":"https://pith.science/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2FKWCJ5VCXK3WRRXL5RT5CMZLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2FKWCJ5VCXK3WRRXL5RT5CMZLL","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":"ff7bb4239061fb367e5fcf027d0a4f4a554a9bf4b97c6536f22b53fc25ab85ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2013-08-19T03:34:21Z","title_canon_sha256":"050a1fecef5d7ae0e0a0f7f7a54fc637a0f4d6d3744c677be4920fa958e50c0d"},"schema_version":"1.0","source":{"id":"1308.3917","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3917","created_at":"2026-05-18T03:15:35Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3917v1","created_at":"2026-05-18T03:15:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3917","created_at":"2026-05-18T03:15:35Z"},{"alias_kind":"pith_short_12","alias_value":"2FKWCJ5VCXK3","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2FKWCJ5VCXK3WRRX","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2FKWCJ5V","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:8a941607126c933def6b3a306d0f97aff3a4afdcc10d63243d0e360a96a44f6e","target":"graph","created_at":"2026-05-18T03:15:35Z","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":"Volume approximation is an important problem found in many applications of computer graphics, vision, and image processing. The problem is about computing an accurate and compact approximate representation of 3D volumes using some simple primitives. In this study, we propose a new volume representation, called medial meshes, and present an efficient method for its computation. Specifically, we use the union of a novel type of simple volume primitives, which are spheres and the convex hulls of two or three spheres, to approximate a given 3D shape. We compute such a volume approximation based on","authors_text":"Feng Sun, Wenping Wang, Yi-King Choi, Yizhou Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2013-08-19T03:34:21Z","title":"Medial Meshes for Volume Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3917","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":"sha256:9d01fcf4bb3c262ee4e4bce133f9990f537005e9826226d33a1f01f805a8609a","target":"record","created_at":"2026-05-18T03:15:35Z","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":"ff7bb4239061fb367e5fcf027d0a4f4a554a9bf4b97c6536f22b53fc25ab85ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2013-08-19T03:34:21Z","title_canon_sha256":"050a1fecef5d7ae0e0a0f7f7a54fc637a0f4d6d3744c677be4920fa958e50c0d"},"schema_version":"1.0","source":{"id":"1308.3917","kind":"arxiv","version":1}},"canonical_sha256":"d1556127b515d5bb46375f633e89995aeac07a67b5424f92a9f46c1e29f71c65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1556127b515d5bb46375f633e89995aeac07a67b5424f92a9f46c1e29f71c65","first_computed_at":"2026-05-18T03:15:35.284723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:35.284723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A308bnIpsG5f/B+ek8X6SE9QxlJBvFxkjFP2NAitGHE27mF7oVhQotNWDY5GoyE6KBsWdEgtNts+HVO9sw/TAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:35.285380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3917","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d01fcf4bb3c262ee4e4bce133f9990f537005e9826226d33a1f01f805a8609a","sha256:8a941607126c933def6b3a306d0f97aff3a4afdcc10d63243d0e360a96a44f6e"],"state_sha256":"1875703bc0c41a37d59b8723befd7ec47e543839bc05c9641859a54e9c4b0d77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IFQx5ZlMg8d6o+YPnZXgMTvYqTxzDdXA5DnJcvbRvR12GXCNBmyH8/AofZjNCgq33UMzC/fNpmhPCSNhjFc2CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:20:36.254514Z","bundle_sha256":"f48e96c85bdc474a62864ce291e1fa84613c92a11adac8fef84c660fcc93f336"}}