{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4UMMZQPZQBYRPLRTT4FNB254FP","short_pith_number":"pith:4UMMZQPZ","schema_version":"1.0","canonical_sha256":"e518ccc1f9807117ae339f0ad0ebbc2bcd405c5044669a104ec27723cf64466a","source":{"kind":"arxiv","id":"1211.5491","version":1},"attestation_state":"computed","paper":{"title":"Distribution of Aligned Letter Pairs in Optimal Alignments of Random Sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Heinrich Matzinger, Raphael Hauser","submitted_at":"2012-11-23T13:06:13Z","abstract_excerpt":"Considering the optimal alignment of two i.i.d. random sequences of length $n$, we show that when the scoring function is chosen randomly, almost surely the empirical distribution of aligned letter pairs in all optimal alignments converges to a unique limiting distribution as $n$ tends to infinity. This result is interesting because it helps understanding the microscopic path structure of a special type of last passage percolation problem with correlated weights, an area of long-standing open problems. Characterizing the microscopic path structure yields furthermore a robust alternative to opt"},"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":"1211.5491","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-11-23T13:06:13Z","cross_cats_sorted":[],"title_canon_sha256":"deeb7761f81826b216433e90ed03ab46eae0e1e235a096da58d4cc75268b185b","abstract_canon_sha256":"37851087d25916848904282caae9d9a40a6901e4052713eb257eefa83db3e823"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:04.272784Z","signature_b64":"vlKDVyvHz9bUMZ15YSkE92M8WOMODZZgczthXlwT9JapsafWgOozJ2p4leZzr3g1lor1PYqmfyw5xb1Q6J5rBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e518ccc1f9807117ae339f0ad0ebbc2bcd405c5044669a104ec27723cf64466a","last_reissued_at":"2026-05-18T03:40:04.272133Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:04.272133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distribution of Aligned Letter Pairs in Optimal Alignments of Random Sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Heinrich Matzinger, Raphael Hauser","submitted_at":"2012-11-23T13:06:13Z","abstract_excerpt":"Considering the optimal alignment of two i.i.d. random sequences of length $n$, we show that when the scoring function is chosen randomly, almost surely the empirical distribution of aligned letter pairs in all optimal alignments converges to a unique limiting distribution as $n$ tends to infinity. This result is interesting because it helps understanding the microscopic path structure of a special type of last passage percolation problem with correlated weights, an area of long-standing open problems. Characterizing the microscopic path structure yields furthermore a robust alternative to opt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5491","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":"1211.5491","created_at":"2026-05-18T03:40:04.272238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.5491v1","created_at":"2026-05-18T03:40:04.272238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5491","created_at":"2026-05-18T03:40:04.272238+00:00"},{"alias_kind":"pith_short_12","alias_value":"4UMMZQPZQBYR","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4UMMZQPZQBYRPLRT","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4UMMZQPZ","created_at":"2026-05-18T12:26:53.410803+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/4UMMZQPZQBYRPLRTT4FNB254FP","json":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP.json","graph_json":"https://pith.science/api/pith-number/4UMMZQPZQBYRPLRTT4FNB254FP/graph.json","events_json":"https://pith.science/api/pith-number/4UMMZQPZQBYRPLRTT4FNB254FP/events.json","paper":"https://pith.science/paper/4UMMZQPZ"},"agent_actions":{"view_html":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP","download_json":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP.json","view_paper":"https://pith.science/paper/4UMMZQPZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.5491&json=true","fetch_graph":"https://pith.science/api/pith-number/4UMMZQPZQBYRPLRTT4FNB254FP/graph.json","fetch_events":"https://pith.science/api/pith-number/4UMMZQPZQBYRPLRTT4FNB254FP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP/action/storage_attestation","attest_author":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP/action/author_attestation","sign_citation":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP/action/citation_signature","submit_replication":"https://pith.science/pith/4UMMZQPZQBYRPLRTT4FNB254FP/action/replication_record"}},"created_at":"2026-05-18T03:40:04.272238+00:00","updated_at":"2026-05-18T03:40:04.272238+00:00"}