{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BHA6B2SCXWFS42M4MNBE2KCRGW","short_pith_number":"pith:BHA6B2SC","schema_version":"1.0","canonical_sha256":"09c1e0ea42bd8b2e699c63424d285135ad5d02cf8756046d7cf09ef0759a1429","source":{"kind":"arxiv","id":"1111.2419","version":1},"attestation_state":"computed","paper":{"title":"Non-uniqueness of ergodic measures with full Hausdorff dimension on a Gatzouras-Lalley carpet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"De-Jun Feng, Julien Barral","submitted_at":"2011-11-10T08:28:16Z","abstract_excerpt":"In this note, we show that on certain Gatzouras-Lalley carpet, there exist more than one ergodic measures with full Hausdorff dimension. This gives a negative answer to a conjecture of Gatzouras and Peres."},"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":"1111.2419","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-11-10T08:28:16Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"77d0af89fcf8c455e8b6cecaff286965bcb9256c02f71ea305e1568cb7bd8a8b","abstract_canon_sha256":"8fe79a5ce037650fbfeb35a4c0b50b2549561ad78e1b8e44484c2fcf07a1c223"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:42.750980Z","signature_b64":"PbFPEy2FUj85qxIbS7Z9QXYaUMB6pKN+6t0TW3IHsEvHiGxDve2d4W4aTPn/nei9qyB7wnUMipOOpD6/Yl8tBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09c1e0ea42bd8b2e699c63424d285135ad5d02cf8756046d7cf09ef0759a1429","last_reissued_at":"2026-05-18T01:59:42.750323Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:42.750323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-uniqueness of ergodic measures with full Hausdorff dimension on a Gatzouras-Lalley carpet","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"De-Jun Feng, Julien Barral","submitted_at":"2011-11-10T08:28:16Z","abstract_excerpt":"In this note, we show that on certain Gatzouras-Lalley carpet, there exist more than one ergodic measures with full Hausdorff dimension. This gives a negative answer to a conjecture of Gatzouras and Peres."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2419","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":"1111.2419","created_at":"2026-05-18T01:59:42.750417+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.2419v1","created_at":"2026-05-18T01:59:42.750417+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2419","created_at":"2026-05-18T01:59:42.750417+00:00"},{"alias_kind":"pith_short_12","alias_value":"BHA6B2SCXWFS","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BHA6B2SCXWFS42M4","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BHA6B2SC","created_at":"2026-05-18T12:26:24.575870+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/BHA6B2SCXWFS42M4MNBE2KCRGW","json":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW.json","graph_json":"https://pith.science/api/pith-number/BHA6B2SCXWFS42M4MNBE2KCRGW/graph.json","events_json":"https://pith.science/api/pith-number/BHA6B2SCXWFS42M4MNBE2KCRGW/events.json","paper":"https://pith.science/paper/BHA6B2SC"},"agent_actions":{"view_html":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW","download_json":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW.json","view_paper":"https://pith.science/paper/BHA6B2SC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.2419&json=true","fetch_graph":"https://pith.science/api/pith-number/BHA6B2SCXWFS42M4MNBE2KCRGW/graph.json","fetch_events":"https://pith.science/api/pith-number/BHA6B2SCXWFS42M4MNBE2KCRGW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW/action/storage_attestation","attest_author":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW/action/author_attestation","sign_citation":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW/action/citation_signature","submit_replication":"https://pith.science/pith/BHA6B2SCXWFS42M4MNBE2KCRGW/action/replication_record"}},"created_at":"2026-05-18T01:59:42.750417+00:00","updated_at":"2026-05-18T01:59:42.750417+00:00"}