{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BS4ECADXIIOHUMPMYEFRIE4RWP","short_pith_number":"pith:BS4ECADX","schema_version":"1.0","canonical_sha256":"0cb8410077421c7a31ecc10b141391b3e232344a769130cb25e35a5d5801002f","source":{"kind":"arxiv","id":"1504.07209","version":2},"attestation_state":"computed","paper":{"title":"Conformal invariance in three dimensional percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Trombettoni, G. Gori","submitted_at":"2015-04-27T19:01:09Z","abstract_excerpt":"The aim of the paper is to present numerical results supporting the presence of conformal invariance in three dimensional statistical mechanics models at criticality and to elucidate the geometric aspects of universality. As a case study we study three dimensional percolation at criticality in bounded domains. Both on discrete and continuous models of critical percolation, we test by numerical experiments the invariance of quantities in finite domains under conformal transformations focusing on crossing probabilities. Our results show clear evidence of the onset of conformal invariance in fini"},"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":"1504.07209","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-04-27T19:01:09Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"99eb37d0cb7dc5d6d7227b1e1cc510d5fdb1b8f9bbbfb9412cd4bfd5147613bc","abstract_canon_sha256":"9065aca1722409548ea2a334d7ff7a2229ca6fa2c837f7389ac4e50e54be8b0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:18.712504Z","signature_b64":"IidcB5tQqcbHnZqUFcZfxb48Suwk0PmOINm0ceDUgWHJ58aCyR2auERb8OWWoUECx2shJw7hEgPkFNd2g2HOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cb8410077421c7a31ecc10b141391b3e232344a769130cb25e35a5d5801002f","last_reissued_at":"2026-05-18T01:31:18.711841Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:18.711841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal invariance in three dimensional percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Trombettoni, G. Gori","submitted_at":"2015-04-27T19:01:09Z","abstract_excerpt":"The aim of the paper is to present numerical results supporting the presence of conformal invariance in three dimensional statistical mechanics models at criticality and to elucidate the geometric aspects of universality. As a case study we study three dimensional percolation at criticality in bounded domains. Both on discrete and continuous models of critical percolation, we test by numerical experiments the invariance of quantities in finite domains under conformal transformations focusing on crossing probabilities. Our results show clear evidence of the onset of conformal invariance in fini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07209","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":"1504.07209","created_at":"2026-05-18T01:31:18.711939+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07209v2","created_at":"2026-05-18T01:31:18.711939+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07209","created_at":"2026-05-18T01:31:18.711939+00:00"},{"alias_kind":"pith_short_12","alias_value":"BS4ECADXIIOH","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BS4ECADXIIOHUMPM","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BS4ECADX","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.06773","citing_title":"Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP","json":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP.json","graph_json":"https://pith.science/api/pith-number/BS4ECADXIIOHUMPMYEFRIE4RWP/graph.json","events_json":"https://pith.science/api/pith-number/BS4ECADXIIOHUMPMYEFRIE4RWP/events.json","paper":"https://pith.science/paper/BS4ECADX"},"agent_actions":{"view_html":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP","download_json":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP.json","view_paper":"https://pith.science/paper/BS4ECADX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07209&json=true","fetch_graph":"https://pith.science/api/pith-number/BS4ECADXIIOHUMPMYEFRIE4RWP/graph.json","fetch_events":"https://pith.science/api/pith-number/BS4ECADXIIOHUMPMYEFRIE4RWP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP/action/storage_attestation","attest_author":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP/action/author_attestation","sign_citation":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP/action/citation_signature","submit_replication":"https://pith.science/pith/BS4ECADXIIOHUMPMYEFRIE4RWP/action/replication_record"}},"created_at":"2026-05-18T01:31:18.711939+00:00","updated_at":"2026-05-18T01:31:18.711939+00:00"}