{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WQGOBHKOYRNP3RP63SPXC4QHLP","short_pith_number":"pith:WQGOBHKO","schema_version":"1.0","canonical_sha256":"b40ce09d4ec45afdc5fedc9f7172075bcbcde86b15936d149bf41145ae2f5381","source":{"kind":"arxiv","id":"1705.10830","version":1},"attestation_state":"computed","paper":{"title":"Substitution Markov chains and Martin boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"David Koslicki, Manfred Denker","submitted_at":"2017-05-30T19:21:51Z","abstract_excerpt":"Substitution Markov chains have been introduced [7] as a new model to describe molecular evolution. In this note, we study the associated Martin boundaries from a probabilistic and topological viewpoint. An example is given that, although having a boundary homeomorphic to the well-known coin tossing process, has a metric description that differs significantly."},"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":"1705.10830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-05-30T19:21:51Z","cross_cats_sorted":[],"title_canon_sha256":"0bfbd5e60d235bd45943b101d81f804aaf2ea22d72dd855b3aa030ff0087347a","abstract_canon_sha256":"d038e45bac6717c80d0d5e48189713c8f8659447385ec1cddbe11ffe5349da4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:20.108165Z","signature_b64":"lLAoe3+cUPgC9VPjgWuT39TeRTdGpc3z+jMpofIiinYb7SES5D0bymkOgc2I16pMETpAYUpbndIG0Fus26ByBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b40ce09d4ec45afdc5fedc9f7172075bcbcde86b15936d149bf41145ae2f5381","last_reissued_at":"2026-05-18T00:43:20.107504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:20.107504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Substitution Markov chains and Martin boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"David Koslicki, Manfred Denker","submitted_at":"2017-05-30T19:21:51Z","abstract_excerpt":"Substitution Markov chains have been introduced [7] as a new model to describe molecular evolution. In this note, we study the associated Martin boundaries from a probabilistic and topological viewpoint. An example is given that, although having a boundary homeomorphic to the well-known coin tossing process, has a metric description that differs significantly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10830","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":"1705.10830","created_at":"2026-05-18T00:43:20.107626+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.10830v1","created_at":"2026-05-18T00:43:20.107626+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10830","created_at":"2026-05-18T00:43:20.107626+00:00"},{"alias_kind":"pith_short_12","alias_value":"WQGOBHKOYRNP","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WQGOBHKOYRNP3RP6","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WQGOBHKO","created_at":"2026-05-18T12:31:53.515858+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/WQGOBHKOYRNP3RP63SPXC4QHLP","json":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP.json","graph_json":"https://pith.science/api/pith-number/WQGOBHKOYRNP3RP63SPXC4QHLP/graph.json","events_json":"https://pith.science/api/pith-number/WQGOBHKOYRNP3RP63SPXC4QHLP/events.json","paper":"https://pith.science/paper/WQGOBHKO"},"agent_actions":{"view_html":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP","download_json":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP.json","view_paper":"https://pith.science/paper/WQGOBHKO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.10830&json=true","fetch_graph":"https://pith.science/api/pith-number/WQGOBHKOYRNP3RP63SPXC4QHLP/graph.json","fetch_events":"https://pith.science/api/pith-number/WQGOBHKOYRNP3RP63SPXC4QHLP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP/action/storage_attestation","attest_author":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP/action/author_attestation","sign_citation":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP/action/citation_signature","submit_replication":"https://pith.science/pith/WQGOBHKOYRNP3RP63SPXC4QHLP/action/replication_record"}},"created_at":"2026-05-18T00:43:20.107626+00:00","updated_at":"2026-05-18T00:43:20.107626+00:00"}