{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:G3MI4RJOICN4SELVCCKDSIFMJQ","short_pith_number":"pith:G3MI4RJO","schema_version":"1.0","canonical_sha256":"36d88e452e409bc9117510943920ac4c39ff820c623a2520fc14a097daae0097","source":{"kind":"arxiv","id":"1509.02958","version":1},"attestation_state":"computed","paper":{"title":"Multiscale Structure in Eco-Evolutionary Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CG","quant-ph"],"primary_cat":"q-bio.PE","authors_text":"Blake C. Stacey","submitted_at":"2015-09-09T21:27:58Z","abstract_excerpt":"In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of interdependency lead to structure at multiple scales of organization. Evolution excels at producing such complex structures. In turn, the existence of these complex interrelationships within a biological system affects the evolutionary dynamics of that system. I present a mathematical formalism for multiscale structure, grounded in information theory, which makes"},"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":"1509.02958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-09-09T21:27:58Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CG","quant-ph"],"title_canon_sha256":"8c9c553bda7b149d510abfc4c51385d2cb0abac47b49c581bc789e0db01a841d","abstract_canon_sha256":"99bb9915e62af6033b2d08e743474617ad9eaa4d6ca3de767b639385f49c0c7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:15.039624Z","signature_b64":"yPJOKfnzcn8eqBUmYd9cIVcCL3L4HJMukkEZga6ioRj1Q1FPSNF9MJ6lY4Q449zCGjNa4zs87G02y8GPKet/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36d88e452e409bc9117510943920ac4c39ff820c623a2520fc14a097daae0097","last_reissued_at":"2026-05-18T01:33:15.039209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:15.039209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiscale Structure in Eco-Evolutionary Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CG","quant-ph"],"primary_cat":"q-bio.PE","authors_text":"Blake C. Stacey","submitted_at":"2015-09-09T21:27:58Z","abstract_excerpt":"In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of interdependency lead to structure at multiple scales of organization. Evolution excels at producing such complex structures. In turn, the existence of these complex interrelationships within a biological system affects the evolutionary dynamics of that system. I present a mathematical formalism for multiscale structure, grounded in information theory, which makes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02958","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1509.02958","created_at":"2026-05-18T01:33:15.039270+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.02958v1","created_at":"2026-05-18T01:33:15.039270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02958","created_at":"2026-05-18T01:33:15.039270+00:00"},{"alias_kind":"pith_short_12","alias_value":"G3MI4RJOICN4","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"G3MI4RJOICN4SELV","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"G3MI4RJO","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.03805","citing_title":"On QBism and Assumption (Q)","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ","json":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ.json","graph_json":"https://pith.science/api/pith-number/G3MI4RJOICN4SELVCCKDSIFMJQ/graph.json","events_json":"https://pith.science/api/pith-number/G3MI4RJOICN4SELVCCKDSIFMJQ/events.json","paper":"https://pith.science/paper/G3MI4RJO"},"agent_actions":{"view_html":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ","download_json":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ.json","view_paper":"https://pith.science/paper/G3MI4RJO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.02958&json=true","fetch_graph":"https://pith.science/api/pith-number/G3MI4RJOICN4SELVCCKDSIFMJQ/graph.json","fetch_events":"https://pith.science/api/pith-number/G3MI4RJOICN4SELVCCKDSIFMJQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ/action/storage_attestation","attest_author":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ/action/author_attestation","sign_citation":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ/action/citation_signature","submit_replication":"https://pith.science/pith/G3MI4RJOICN4SELVCCKDSIFMJQ/action/replication_record"}},"created_at":"2026-05-18T01:33:15.039270+00:00","updated_at":"2026-05-18T01:33:15.039270+00:00"}