{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:O3RD4ME2BSGIG5ZKCJ6IHYJFSA","short_pith_number":"pith:O3RD4ME2","schema_version":"1.0","canonical_sha256":"76e23e309a0c8c83772a127c83e125902f9bb800e77c05b7509621c471c3b44f","source":{"kind":"arxiv","id":"1301.4751","version":1},"attestation_state":"computed","paper":{"title":"Phase transitions in Paradigm models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.soc-ph","authors_text":"Huiseung Chae, Soon-Hyung Yook, Yup Kim","submitted_at":"2013-01-21T04:54:39Z","abstract_excerpt":"In this letter we propose two general models for paradigm shift, deterministic propagation model (DM) and stochastic propagation model (SM). By defining the order parameter $m$ based on the diversity of ideas, $\\Delta$, we study when and how the transition occurs as a cost $C$ in DM or an innovation probability $\\alpha$ in SM increases. In addition, we also investigate how the propagation processes affect on the transition nature. From the analytical calculations and numerical simulations $m$ is shown to satisfy the scaling relation $m=1-f(C/N)$ for DM with the number of agents $N$. In contras"},"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":"1301.4751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-21T04:54:39Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2fc39592bdb702f49a19417fac447365fa257e38502bee131ecd950d8393f656","abstract_canon_sha256":"d33e0dee9af62d4a449623e98a1b9a3c840fe3c2879af7902f873315e646a93d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:05.351022Z","signature_b64":"l11Qt4jck9O4NMh2m3T3eQCnQmcVCHwg5GBPR3acJFipYNUCKsBAkdKSQRQuebBdroZm2HAEI2rYzMz6a4dIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76e23e309a0c8c83772a127c83e125902f9bb800e77c05b7509621c471c3b44f","last_reissued_at":"2026-05-18T01:52:05.350562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:05.350562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transitions in Paradigm models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.soc-ph","authors_text":"Huiseung Chae, Soon-Hyung Yook, Yup Kim","submitted_at":"2013-01-21T04:54:39Z","abstract_excerpt":"In this letter we propose two general models for paradigm shift, deterministic propagation model (DM) and stochastic propagation model (SM). By defining the order parameter $m$ based on the diversity of ideas, $\\Delta$, we study when and how the transition occurs as a cost $C$ in DM or an innovation probability $\\alpha$ in SM increases. In addition, we also investigate how the propagation processes affect on the transition nature. From the analytical calculations and numerical simulations $m$ is shown to satisfy the scaling relation $m=1-f(C/N)$ for DM with the number of agents $N$. In contras"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4751","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":"1301.4751","created_at":"2026-05-18T01:52:05.350634+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.4751v1","created_at":"2026-05-18T01:52:05.350634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4751","created_at":"2026-05-18T01:52:05.350634+00:00"},{"alias_kind":"pith_short_12","alias_value":"O3RD4ME2BSGI","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"O3RD4ME2BSGIG5ZK","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"O3RD4ME2","created_at":"2026-05-18T12:27:54.935989+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/O3RD4ME2BSGIG5ZKCJ6IHYJFSA","json":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA.json","graph_json":"https://pith.science/api/pith-number/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/graph.json","events_json":"https://pith.science/api/pith-number/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/events.json","paper":"https://pith.science/paper/O3RD4ME2"},"agent_actions":{"view_html":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA","download_json":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA.json","view_paper":"https://pith.science/paper/O3RD4ME2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.4751&json=true","fetch_graph":"https://pith.science/api/pith-number/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/graph.json","fetch_events":"https://pith.science/api/pith-number/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/action/storage_attestation","attest_author":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/action/author_attestation","sign_citation":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/action/citation_signature","submit_replication":"https://pith.science/pith/O3RD4ME2BSGIG5ZKCJ6IHYJFSA/action/replication_record"}},"created_at":"2026-05-18T01:52:05.350634+00:00","updated_at":"2026-05-18T01:52:05.350634+00:00"}