{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","short_pith_number":"pith:B7UDQ5ZN","schema_version":"1.0","canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","source":{"kind":"arxiv","id":"1407.4295","version":2},"attestation_state":"computed","paper":{"title":"Random walk loop soups and conformal loop ensembles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Federico Camia, Marcin Lis, Tim van de Brug","submitted_at":"2014-07-16T13:17:00Z","abstract_excerpt":"The random walk loop soup is a Poissonian ensemble of lattice loops; it has been extensively studied because of its connections to the discrete Gaussian free field, but was originally introduced by Lawler and Trujillo Ferreras as a discrete version of the Brownian loop soup of Lawler and Werner, a conformally invariant Poissonian ensemble of planar loops with deep connections to conformal loop ensembles (CLEs) and the Schramm-Loewner evolution (SLE).\n  Lawler and Trujillo Ferreras showed that, roughly speaking, in the continuum scaling limit, ``large'' lattice loops from the random walk loop s"},"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":"1407.4295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-16T13:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"ce044e01b58aac5d61388f05baf9748d111050d91772dea7a7defc711657020a","abstract_canon_sha256":"bc744f251526182e696b9cf2070d482df4bc6bbf3a6526e5e57c6f81e715bdf9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:33.578249Z","signature_b64":"e9p7brEZC35ySw6zNf4p8+ZLgPz4h0LOHi2k6tVwOy9qvGFTXVAFTy07T1V9RXxabxRj4HlRBD8+ooIGZ10eAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","last_reissued_at":"2026-05-18T01:04:33.577563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:33.577563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Random walk loop soups and conformal loop ensembles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Federico Camia, Marcin Lis, Tim van de Brug","submitted_at":"2014-07-16T13:17:00Z","abstract_excerpt":"The random walk loop soup is a Poissonian ensemble of lattice loops; it has been extensively studied because of its connections to the discrete Gaussian free field, but was originally introduced by Lawler and Trujillo Ferreras as a discrete version of the Brownian loop soup of Lawler and Werner, a conformally invariant Poissonian ensemble of planar loops with deep connections to conformal loop ensembles (CLEs) and the Schramm-Loewner evolution (SLE).\n  Lawler and Trujillo Ferreras showed that, roughly speaking, in the continuum scaling limit, ``large'' lattice loops from the random walk loop s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4295","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":""},"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":"1407.4295","created_at":"2026-05-18T01:04:33.577672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.4295v2","created_at":"2026-05-18T01:04:33.577672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4295","created_at":"2026-05-18T01:04:33.577672+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7UDQ5ZNSJ5U","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7UDQ5ZNSJ5UPQIF","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7UDQ5ZN","created_at":"2026-05-18T12:28:22.404517+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/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","json":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F.json","graph_json":"https://pith.science/api/pith-number/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/graph.json","events_json":"https://pith.science/api/pith-number/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/events.json","paper":"https://pith.science/paper/B7UDQ5ZN"},"agent_actions":{"view_html":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","download_json":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F.json","view_paper":"https://pith.science/paper/B7UDQ5ZN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.4295&json=true","fetch_graph":"https://pith.science/api/pith-number/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/graph.json","fetch_events":"https://pith.science/api/pith-number/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/action/storage_attestation","attest_author":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/action/author_attestation","sign_citation":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/action/citation_signature","submit_replication":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/action/replication_record"}},"created_at":"2026-05-18T01:04:33.577672+00:00","updated_at":"2026-05-18T01:04:33.577672+00:00"}