{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:INULRHWPCQJOYV7ZDOZJBL7VYO","short_pith_number":"pith:INULRHWP","schema_version":"1.0","canonical_sha256":"4368b89ecf1412ec57f91bb290aff5c3b88fc8d41706323128cf305ea27d640e","source":{"kind":"arxiv","id":"2502.09750","version":2},"attestation_state":"computed","paper":{"title":"Quantifying the Complexity of Materials with Assembly Theory","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Abhishek Sharma, Ian Seet, Ignas Packmore, Keith Y Patarroyo, Leroy Cronin, Sara I. Walker","submitted_at":"2025-02-13T20:09:16Z","abstract_excerpt":"Quantifying the evolution and complexity of materials is of importance in many areas of science and engineering, where a central open challenge is developing experimental complexity measurements to distinguish random structures from evolved or engineered materials. Assembly Theory (AT) was developed to measure complexity produced by selection, evolution and technology. Here, we extend the fundamentals of AT to quantify complexity in inorganic molecules and solid-state periodic objects such as crystals, minerals and microprocessors, showing how the framework of AT can be used to distinguish nat"},"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":"2502.09750","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-02-13T20:09:16Z","cross_cats_sorted":[],"title_canon_sha256":"76853d50ed73bd8bb1046260be43aaac0f3f305008fad80a071f13fd6914a755","abstract_canon_sha256":"13ce893ee20cec9728c7465e317799cc8bd127567cab0df505cb0eb2d0208fb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:19:37.834337Z","signature_b64":"rHKhWaC3tXkPlvB1irJhm82YnMt2Q1BqTlIBRHWE+AiMCKaMWoVbSgRfOqwwmSqBA+2dOis3zXPcN5wPmx1hDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4368b89ecf1412ec57f91bb290aff5c3b88fc8d41706323128cf305ea27d640e","last_reissued_at":"2026-07-05T10:19:37.833857Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:19:37.833857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantifying the Complexity of Materials with Assembly Theory","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Abhishek Sharma, Ian Seet, Ignas Packmore, Keith Y Patarroyo, Leroy Cronin, Sara I. Walker","submitted_at":"2025-02-13T20:09:16Z","abstract_excerpt":"Quantifying the evolution and complexity of materials is of importance in many areas of science and engineering, where a central open challenge is developing experimental complexity measurements to distinguish random structures from evolved or engineered materials. Assembly Theory (AT) was developed to measure complexity produced by selection, evolution and technology. Here, we extend the fundamentals of AT to quantify complexity in inorganic molecules and solid-state periodic objects such as crystals, minerals and microprocessors, showing how the framework of AT can be used to distinguish nat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09750","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.09750/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2502.09750","created_at":"2026-07-05T10:19:37.833914+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.09750v2","created_at":"2026-07-05T10:19:37.833914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09750","created_at":"2026-07-05T10:19:37.833914+00:00"},{"alias_kind":"pith_short_12","alias_value":"INULRHWPCQJO","created_at":"2026-07-05T10:19:37.833914+00:00"},{"alias_kind":"pith_short_16","alias_value":"INULRHWPCQJOYV7Z","created_at":"2026-07-05T10:19:37.833914+00:00"},{"alias_kind":"pith_short_8","alias_value":"INULRHWP","created_at":"2026-07-05T10:19:37.833914+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2601.00515","citing_title":"The Physics of Causation","ref_index":25,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO","json":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO.json","graph_json":"https://pith.science/api/pith-number/INULRHWPCQJOYV7ZDOZJBL7VYO/graph.json","events_json":"https://pith.science/api/pith-number/INULRHWPCQJOYV7ZDOZJBL7VYO/events.json","paper":"https://pith.science/paper/INULRHWP"},"agent_actions":{"view_html":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO","download_json":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO.json","view_paper":"https://pith.science/paper/INULRHWP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.09750&json=true","fetch_graph":"https://pith.science/api/pith-number/INULRHWPCQJOYV7ZDOZJBL7VYO/graph.json","fetch_events":"https://pith.science/api/pith-number/INULRHWPCQJOYV7ZDOZJBL7VYO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO/action/storage_attestation","attest_author":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO/action/author_attestation","sign_citation":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO/action/citation_signature","submit_replication":"https://pith.science/pith/INULRHWPCQJOYV7ZDOZJBL7VYO/action/replication_record"}},"created_at":"2026-07-05T10:19:37.833914+00:00","updated_at":"2026-07-05T10:19:37.833914+00:00"}