{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:T4SDLXW4TIIOU4CF6NWQ7K5LKF","short_pith_number":"pith:T4SDLXW4","schema_version":"1.0","canonical_sha256":"9f2435dedc9a10ea7045f36d0fabab5160326c99d9d0e00ef8a6748794f7be98","source":{"kind":"arxiv","id":"1411.4535","version":3},"attestation_state":"computed","paper":{"title":"Generalized balanced power diagrams for 3D representations of polycrystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Allan Lyckegaard, Andreas Alpers, Andreas Brieden, Henning Friis Poulsen, Peter Gritzmann","submitted_at":"2014-11-17T16:27:40Z","abstract_excerpt":"Characterizing the grain structure of polycrystalline material is an important task in material science. The present paper introduces the concept of generalized balanced power diagrams as a concise alternative to voxelated mappings. Here, each grain is represented by (measured approximations of) its center-of-mass position, its volume and, if available, by its second-order moments (in the non-equiaxed case). Such parameters may be obtained from 3D x-ray diffraction. As the exact global optimum of our model results from the solution of a suitable linear program it can be computed quite efficien"},"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":"1411.4535","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-11-17T16:27:40Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"acb9839492e7d29d9b7b5b5019d5f87a6605538325e6db5f14daf6ab56f46e38","abstract_canon_sha256":"84f62bc1d5c4020c8e4443fe2788d947d84da0759da84e0aba7ffeaa83e47d8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:29.876577Z","signature_b64":"hAUJeSQdYUa0T5JESUHHSiTnM7x4Cr/WoxIwl9JYVC94ByWbhvDkg4aTqaSX9UzVT2c/TbXMwf0s/qepNUN/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f2435dedc9a10ea7045f36d0fabab5160326c99d9d0e00ef8a6748794f7be98","last_reissued_at":"2026-05-18T01:41:29.875887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:29.875887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized balanced power diagrams for 3D representations of polycrystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Allan Lyckegaard, Andreas Alpers, Andreas Brieden, Henning Friis Poulsen, Peter Gritzmann","submitted_at":"2014-11-17T16:27:40Z","abstract_excerpt":"Characterizing the grain structure of polycrystalline material is an important task in material science. The present paper introduces the concept of generalized balanced power diagrams as a concise alternative to voxelated mappings. Here, each grain is represented by (measured approximations of) its center-of-mass position, its volume and, if available, by its second-order moments (in the non-equiaxed case). Such parameters may be obtained from 3D x-ray diffraction. As the exact global optimum of our model results from the solution of a suitable linear program it can be computed quite efficien"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4535","kind":"arxiv","version":3},"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":"1411.4535","created_at":"2026-05-18T01:41:29.875987+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.4535v3","created_at":"2026-05-18T01:41:29.875987+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4535","created_at":"2026-05-18T01:41:29.875987+00:00"},{"alias_kind":"pith_short_12","alias_value":"T4SDLXW4TIIO","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"T4SDLXW4TIIOU4CF","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"T4SDLXW4","created_at":"2026-05-18T12:28:49.207871+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/T4SDLXW4TIIOU4CF6NWQ7K5LKF","json":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF.json","graph_json":"https://pith.science/api/pith-number/T4SDLXW4TIIOU4CF6NWQ7K5LKF/graph.json","events_json":"https://pith.science/api/pith-number/T4SDLXW4TIIOU4CF6NWQ7K5LKF/events.json","paper":"https://pith.science/paper/T4SDLXW4"},"agent_actions":{"view_html":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF","download_json":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF.json","view_paper":"https://pith.science/paper/T4SDLXW4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.4535&json=true","fetch_graph":"https://pith.science/api/pith-number/T4SDLXW4TIIOU4CF6NWQ7K5LKF/graph.json","fetch_events":"https://pith.science/api/pith-number/T4SDLXW4TIIOU4CF6NWQ7K5LKF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF/action/storage_attestation","attest_author":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF/action/author_attestation","sign_citation":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF/action/citation_signature","submit_replication":"https://pith.science/pith/T4SDLXW4TIIOU4CF6NWQ7K5LKF/action/replication_record"}},"created_at":"2026-05-18T01:41:29.875987+00:00","updated_at":"2026-05-18T01:41:29.875987+00:00"}