{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3U3HXCAYMWQGVBJJIEANUW3GSW","short_pith_number":"pith:3U3HXCAY","schema_version":"1.0","canonical_sha256":"dd367b881865a06a85294100da5b6695914b747db839f4a00d8d4535b5f1c7dd","source":{"kind":"arxiv","id":"1302.5150","version":4},"attestation_state":"computed","paper":{"title":"Measuring Agglomeration of Agglomerated Particles Pictures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AT","math.MP","math.NA","math.PR"],"primary_cat":"cs.CE","authors_text":"Shigeki Matsutani, Yoshiyuki Shimosako","submitted_at":"2013-02-20T23:57:10Z","abstract_excerpt":"In this article, we introduce a novel geometrical index $\\delta_{agg}$, which is associated with the Euler number and is obtained by an image processing procedure for a given digital picture of aggregated particles such that $\\delta_{agg}$ exhibits the degree of the agglomerations of the particles. In the previous work (Matsutani, Shimosako, Wang, Appl.Math.Modeling {\\bf{37}} (2013), 4007-4022), we proposed an algorithm to construct a picture of agglomerated particles as a Monte-Carlo simulation whose agglomeration degree is controlled by $\\gamma_{agg} \\in (0,1)$. By applying the image process"},"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":"1302.5150","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2013-02-20T23:57:10Z","cross_cats_sorted":["math-ph","math.AT","math.MP","math.NA","math.PR"],"title_canon_sha256":"d9dde3d157bfb2da3352db541e6ab57a97be0488278102d0a4fa16918ba693f8","abstract_canon_sha256":"f7d672d449bb8f282dba53ad2fcc453150a90f6f8254f1542997e8faa0f7c1f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:22.247159Z","signature_b64":"Bft9/ZQMJRdwNsKe4XpZtQIo+DJcluKqTvMQgqZDZJXriJbmIPcBlWAJdQ03SkGrBZ/X4Ee4EEsK0U2QGyY6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd367b881865a06a85294100da5b6695914b747db839f4a00d8d4535b5f1c7dd","last_reissued_at":"2026-05-18T03:19:22.246597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:22.246597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Measuring Agglomeration of Agglomerated Particles Pictures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AT","math.MP","math.NA","math.PR"],"primary_cat":"cs.CE","authors_text":"Shigeki Matsutani, Yoshiyuki Shimosako","submitted_at":"2013-02-20T23:57:10Z","abstract_excerpt":"In this article, we introduce a novel geometrical index $\\delta_{agg}$, which is associated with the Euler number and is obtained by an image processing procedure for a given digital picture of aggregated particles such that $\\delta_{agg}$ exhibits the degree of the agglomerations of the particles. In the previous work (Matsutani, Shimosako, Wang, Appl.Math.Modeling {\\bf{37}} (2013), 4007-4022), we proposed an algorithm to construct a picture of agglomerated particles as a Monte-Carlo simulation whose agglomeration degree is controlled by $\\gamma_{agg} \\in (0,1)$. By applying the image process"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5150","kind":"arxiv","version":4},"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":"1302.5150","created_at":"2026-05-18T03:19:22.246674+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.5150v4","created_at":"2026-05-18T03:19:22.246674+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5150","created_at":"2026-05-18T03:19:22.246674+00:00"},{"alias_kind":"pith_short_12","alias_value":"3U3HXCAYMWQG","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3U3HXCAYMWQGVBJJ","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3U3HXCAY","created_at":"2026-05-18T12:27:32.513160+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/3U3HXCAYMWQGVBJJIEANUW3GSW","json":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW.json","graph_json":"https://pith.science/api/pith-number/3U3HXCAYMWQGVBJJIEANUW3GSW/graph.json","events_json":"https://pith.science/api/pith-number/3U3HXCAYMWQGVBJJIEANUW3GSW/events.json","paper":"https://pith.science/paper/3U3HXCAY"},"agent_actions":{"view_html":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW","download_json":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW.json","view_paper":"https://pith.science/paper/3U3HXCAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.5150&json=true","fetch_graph":"https://pith.science/api/pith-number/3U3HXCAYMWQGVBJJIEANUW3GSW/graph.json","fetch_events":"https://pith.science/api/pith-number/3U3HXCAYMWQGVBJJIEANUW3GSW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW/action/storage_attestation","attest_author":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW/action/author_attestation","sign_citation":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW/action/citation_signature","submit_replication":"https://pith.science/pith/3U3HXCAYMWQGVBJJIEANUW3GSW/action/replication_record"}},"created_at":"2026-05-18T03:19:22.246674+00:00","updated_at":"2026-05-18T03:19:22.246674+00:00"}