{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MEQALRNPXHURWR6C3XTTGSLXTC","short_pith_number":"pith:MEQALRNP","schema_version":"1.0","canonical_sha256":"612005c5afb9e91b47c2dde733497798839a93234a554fa4637f9ac255c13adf","source":{"kind":"arxiv","id":"1511.04840","version":2},"attestation_state":"computed","paper":{"title":"A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpinski gasket","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kumiko Hattori, Noriaki Ogo, Takafumi Otsuka","submitted_at":"2015-11-16T06:31:09Z","abstract_excerpt":"We show that the `erasing-larger-loops-first' (ELLF) method, which was first introduced for erasing loops from the simple random walk on the Sierpinski gasket, does work also for non-Markov random walks, in particular, self-repelling walks to construct a new family of self-avoiding walks on the Sierpinski gasket. The one-parameter family constructed in this method continuously connects the loop-erased random walk and a self-avoiding walk which has the same asymptotic behavior as the `standard' self-avoiding walk. We prove the existence of the scaling limit and study some path properties: The e"},"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":"1511.04840","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-11-16T06:31:09Z","cross_cats_sorted":[],"title_canon_sha256":"41b89609bec52c6a583e3e587dd74d51f2718e10f5df6fafca94767c026a7eb6","abstract_canon_sha256":"56976967c907c6f101aa2a74c16a53385e1bdf2b6f7ec261345fdb2996a4572c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:57.958113Z","signature_b64":"d9Ii6t4BtR3GB/24DUuYf2TOfGva3B/1valALKi4hX1mYDylQ0bRvjRHCDJn/CIME73nfu3nZpek+BGfvt7hAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"612005c5afb9e91b47c2dde733497798839a93234a554fa4637f9ac255c13adf","last_reissued_at":"2026-05-18T01:15:57.957484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:57.957484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpinski gasket","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kumiko Hattori, Noriaki Ogo, Takafumi Otsuka","submitted_at":"2015-11-16T06:31:09Z","abstract_excerpt":"We show that the `erasing-larger-loops-first' (ELLF) method, which was first introduced for erasing loops from the simple random walk on the Sierpinski gasket, does work also for non-Markov random walks, in particular, self-repelling walks to construct a new family of self-avoiding walks on the Sierpinski gasket. The one-parameter family constructed in this method continuously connects the loop-erased random walk and a self-avoiding walk which has the same asymptotic behavior as the `standard' self-avoiding walk. We prove the existence of the scaling limit and study some path properties: The e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04840","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":"1511.04840","created_at":"2026-05-18T01:15:57.957578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.04840v2","created_at":"2026-05-18T01:15:57.957578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04840","created_at":"2026-05-18T01:15:57.957578+00:00"},{"alias_kind":"pith_short_12","alias_value":"MEQALRNPXHUR","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MEQALRNPXHURWR6C","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MEQALRNP","created_at":"2026-05-18T12:29:32.376354+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/MEQALRNPXHURWR6C3XTTGSLXTC","json":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC.json","graph_json":"https://pith.science/api/pith-number/MEQALRNPXHURWR6C3XTTGSLXTC/graph.json","events_json":"https://pith.science/api/pith-number/MEQALRNPXHURWR6C3XTTGSLXTC/events.json","paper":"https://pith.science/paper/MEQALRNP"},"agent_actions":{"view_html":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC","download_json":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC.json","view_paper":"https://pith.science/paper/MEQALRNP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.04840&json=true","fetch_graph":"https://pith.science/api/pith-number/MEQALRNPXHURWR6C3XTTGSLXTC/graph.json","fetch_events":"https://pith.science/api/pith-number/MEQALRNPXHURWR6C3XTTGSLXTC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC/action/storage_attestation","attest_author":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC/action/author_attestation","sign_citation":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC/action/citation_signature","submit_replication":"https://pith.science/pith/MEQALRNPXHURWR6C3XTTGSLXTC/action/replication_record"}},"created_at":"2026-05-18T01:15:57.957578+00:00","updated_at":"2026-05-18T01:15:57.957578+00:00"}