{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DN42KZ6A72DVUL7QOQOG2AMACH","short_pith_number":"pith:DN42KZ6A","schema_version":"1.0","canonical_sha256":"1b79a567c0fe875a2ff0741c6d018011d88b3630676b46a443f113f716f044ce","source":{"kind":"arxiv","id":"1206.3159","version":2},"attestation_state":"computed","paper":{"title":"Watersheds are Schramm-Loewner Evolution curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Daryaei, H. J. Herrmann, K. J. Schrenk, N. A. M. Araujo, S. Rouhani","submitted_at":"2012-06-14T16:02:54Z","abstract_excerpt":"We show that in the continuum limit watersheds dividing drainage basins are Schramm-Loewner Evolution (SLE) curves, being described by one single parameter $\\kappa$. Several numerical evaluations are applied to ascertain this. All calculations are consistent with SLE$_\\kappa$, with $\\kappa=1.734\\pm0.005$, being the only known physical example of an SLE with $\\kappa<2$. This lies outside the well-known duality conjecture, bringing up new questions regarding the existence and reversibility of dual models. Furthermore it constitutes a strong indication for conformal invariance in random landscape"},"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":"1206.3159","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-06-14T16:02:54Z","cross_cats_sorted":[],"title_canon_sha256":"83924cfe3e54f22b0717da6d4d93668d14075769a5a797e724fa53d878e04709","abstract_canon_sha256":"dae0703a4f389dcb58b0a5b894a77bf753b6e8c1f6f949dc5a77181b11adb6b8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:28.496108Z","signature_b64":"SvR/h3NjAYQMGXDEDDVyqwjTcyQEjBiRHj6MSfzYPu6irSlBlQpGIa4fFTsFrxAUy12xGeeD2a1K4cch/U9NBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b79a567c0fe875a2ff0741c6d018011d88b3630676b46a443f113f716f044ce","last_reissued_at":"2026-05-18T03:39:28.495410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:28.495410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Watersheds are Schramm-Loewner Evolution curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Daryaei, H. J. Herrmann, K. J. Schrenk, N. A. M. Araujo, S. Rouhani","submitted_at":"2012-06-14T16:02:54Z","abstract_excerpt":"We show that in the continuum limit watersheds dividing drainage basins are Schramm-Loewner Evolution (SLE) curves, being described by one single parameter $\\kappa$. Several numerical evaluations are applied to ascertain this. All calculations are consistent with SLE$_\\kappa$, with $\\kappa=1.734\\pm0.005$, being the only known physical example of an SLE with $\\kappa<2$. This lies outside the well-known duality conjecture, bringing up new questions regarding the existence and reversibility of dual models. Furthermore it constitutes a strong indication for conformal invariance in random landscape"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3159","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":"1206.3159","created_at":"2026-05-18T03:39:28.495526+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.3159v2","created_at":"2026-05-18T03:39:28.495526+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3159","created_at":"2026-05-18T03:39:28.495526+00:00"},{"alias_kind":"pith_short_12","alias_value":"DN42KZ6A72DV","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DN42KZ6A72DVUL7Q","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DN42KZ6A","created_at":"2026-05-18T12:27:04.183437+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/DN42KZ6A72DVUL7QOQOG2AMACH","json":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH.json","graph_json":"https://pith.science/api/pith-number/DN42KZ6A72DVUL7QOQOG2AMACH/graph.json","events_json":"https://pith.science/api/pith-number/DN42KZ6A72DVUL7QOQOG2AMACH/events.json","paper":"https://pith.science/paper/DN42KZ6A"},"agent_actions":{"view_html":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH","download_json":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH.json","view_paper":"https://pith.science/paper/DN42KZ6A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.3159&json=true","fetch_graph":"https://pith.science/api/pith-number/DN42KZ6A72DVUL7QOQOG2AMACH/graph.json","fetch_events":"https://pith.science/api/pith-number/DN42KZ6A72DVUL7QOQOG2AMACH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH/action/storage_attestation","attest_author":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH/action/author_attestation","sign_citation":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH/action/citation_signature","submit_replication":"https://pith.science/pith/DN42KZ6A72DVUL7QOQOG2AMACH/action/replication_record"}},"created_at":"2026-05-18T03:39:28.495526+00:00","updated_at":"2026-05-18T03:39:28.495526+00:00"}