{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QRDXIXUN2V6F4G6HAMFYLXXEKI","short_pith_number":"pith:QRDXIXUN","schema_version":"1.0","canonical_sha256":"8447745e8dd57c5e1bc7030b85dee4521da6a837e26eeb082be5f77f48dbf4f6","source":{"kind":"arxiv","id":"1206.1028","version":1},"attestation_state":"computed","paper":{"title":"Correlated percolation and tricriticality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"J. M. Schwarz, L. Cao","submitted_at":"2012-06-05T19:19:03Z","abstract_excerpt":"The recent proliferation of correlated percolation models---models where the addition of edges/vertices is no longer independent of other edges/vertices---has been motivated by the quest to find discontinuous percolation transitions. The leader in this proliferation is what is known as explosive percolation. A recent proof demonstrates that a large class of explosive percolation-type models does not, in fact, exhibit a discontinuous transition[O. Riordan and L. Warnke, Science, {\\bf 333}, 322 (2011)]. We, on the other hand, discuss several correlated percolation models, the $k$-core model on r"},"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":"1206.1028","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2012-06-05T19:19:03Z","cross_cats_sorted":[],"title_canon_sha256":"fd8298082668fcf4c85e84d1931a9634e9ac9b9213e2300057bd731078049fd4","abstract_canon_sha256":"42fb5226ba2a0c95042eefe12dbbf23aafa8039f6255bf7c79b7fb4b9b0bea4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:07.476383Z","signature_b64":"ii0+pYQyxPt21BOs+l/5q5tKACvZKzXTL0gHPlHytHxO0pe5onnocEhmkk/anoDjl+CTcvhcudNaCedIozf3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8447745e8dd57c5e1bc7030b85dee4521da6a837e26eeb082be5f77f48dbf4f6","last_reissued_at":"2026-05-18T01:57:07.475952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:07.475952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlated percolation and tricriticality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"J. M. Schwarz, L. Cao","submitted_at":"2012-06-05T19:19:03Z","abstract_excerpt":"The recent proliferation of correlated percolation models---models where the addition of edges/vertices is no longer independent of other edges/vertices---has been motivated by the quest to find discontinuous percolation transitions. The leader in this proliferation is what is known as explosive percolation. A recent proof demonstrates that a large class of explosive percolation-type models does not, in fact, exhibit a discontinuous transition[O. Riordan and L. Warnke, Science, {\\bf 333}, 322 (2011)]. We, on the other hand, discuss several correlated percolation models, the $k$-core model on r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1028","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":"1206.1028","created_at":"2026-05-18T01:57:07.476014+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1028v1","created_at":"2026-05-18T01:57:07.476014+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1028","created_at":"2026-05-18T01:57:07.476014+00:00"},{"alias_kind":"pith_short_12","alias_value":"QRDXIXUN2V6F","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QRDXIXUN2V6F4G6H","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QRDXIXUN","created_at":"2026-05-18T12:27:18.751474+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/QRDXIXUN2V6F4G6HAMFYLXXEKI","json":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI.json","graph_json":"https://pith.science/api/pith-number/QRDXIXUN2V6F4G6HAMFYLXXEKI/graph.json","events_json":"https://pith.science/api/pith-number/QRDXIXUN2V6F4G6HAMFYLXXEKI/events.json","paper":"https://pith.science/paper/QRDXIXUN"},"agent_actions":{"view_html":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI","download_json":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI.json","view_paper":"https://pith.science/paper/QRDXIXUN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1028&json=true","fetch_graph":"https://pith.science/api/pith-number/QRDXIXUN2V6F4G6HAMFYLXXEKI/graph.json","fetch_events":"https://pith.science/api/pith-number/QRDXIXUN2V6F4G6HAMFYLXXEKI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI/action/storage_attestation","attest_author":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI/action/author_attestation","sign_citation":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI/action/citation_signature","submit_replication":"https://pith.science/pith/QRDXIXUN2V6F4G6HAMFYLXXEKI/action/replication_record"}},"created_at":"2026-05-18T01:57:07.476014+00:00","updated_at":"2026-05-18T01:57:07.476014+00:00"}