{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:KFGKWTWRLMBYICKG4IIRWMNZ4J","short_pith_number":"pith:KFGKWTWR","schema_version":"1.0","canonical_sha256":"514cab4ed15b03840946e2111b31b9e254ca31726063633b4de6c15625d328f2","source":{"kind":"arxiv","id":"1202.1370","version":3},"attestation_state":"computed","paper":{"title":"On a functional contraction method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"math.PR","authors_text":"Henning Sulzbach, Ralph Neininger","submitted_at":"2012-02-07T08:41:19Z","abstract_excerpt":"Methods for proving functional limit laws are developed for sequences of stochastic processes which allow a recursive distributional decomposition either in time or space. Our approach is an extension of the so-called contraction method to the space $\\mathcal{C}[0,1]$ of continuous functions endowed with uniform topology and the space $\\mathcal {D}[0,1]$ of c\\`{a}dl\\`{a}g functions with the Skorokhod topology. The contraction method originated from the probabilistic analysis of algorithms and random trees where characteristics satisfy natural distributional recurrences. It is based on stochast"},"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":"1202.1370","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-02-07T08:41:19Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"495f8de1158ca5b6463706c2cd7215c41e75a48947d716bd66060f8307168b0b","abstract_canon_sha256":"1e9e4a52e15d784979bfe10baf7388c6867cc2b763503851db0b9e137a64705e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:34.222902Z","signature_b64":"koFZSY7azfrBCNEBaWV5OZDpJGE/Jarxl/olU1qtIU/DJqCARL6CB8Jc9Ic7gpKEYW4JA/xeEv/Kgc7JSi/7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"514cab4ed15b03840946e2111b31b9e254ca31726063633b4de6c15625d328f2","last_reissued_at":"2026-05-18T01:33:34.222165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:34.222165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a functional contraction method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"math.PR","authors_text":"Henning Sulzbach, Ralph Neininger","submitted_at":"2012-02-07T08:41:19Z","abstract_excerpt":"Methods for proving functional limit laws are developed for sequences of stochastic processes which allow a recursive distributional decomposition either in time or space. Our approach is an extension of the so-called contraction method to the space $\\mathcal{C}[0,1]$ of continuous functions endowed with uniform topology and the space $\\mathcal {D}[0,1]$ of c\\`{a}dl\\`{a}g functions with the Skorokhod topology. The contraction method originated from the probabilistic analysis of algorithms and random trees where characteristics satisfy natural distributional recurrences. It is based on stochast"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1370","kind":"arxiv","version":3},"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":"1202.1370","created_at":"2026-05-18T01:33:34.222286+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.1370v3","created_at":"2026-05-18T01:33:34.222286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1370","created_at":"2026-05-18T01:33:34.222286+00:00"},{"alias_kind":"pith_short_12","alias_value":"KFGKWTWRLMBY","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"KFGKWTWRLMBYICKG","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"KFGKWTWR","created_at":"2026-05-18T12:27:11.947152+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/KFGKWTWRLMBYICKG4IIRWMNZ4J","json":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J.json","graph_json":"https://pith.science/api/pith-number/KFGKWTWRLMBYICKG4IIRWMNZ4J/graph.json","events_json":"https://pith.science/api/pith-number/KFGKWTWRLMBYICKG4IIRWMNZ4J/events.json","paper":"https://pith.science/paper/KFGKWTWR"},"agent_actions":{"view_html":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J","download_json":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J.json","view_paper":"https://pith.science/paper/KFGKWTWR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.1370&json=true","fetch_graph":"https://pith.science/api/pith-number/KFGKWTWRLMBYICKG4IIRWMNZ4J/graph.json","fetch_events":"https://pith.science/api/pith-number/KFGKWTWRLMBYICKG4IIRWMNZ4J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J/action/storage_attestation","attest_author":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J/action/author_attestation","sign_citation":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J/action/citation_signature","submit_replication":"https://pith.science/pith/KFGKWTWRLMBYICKG4IIRWMNZ4J/action/replication_record"}},"created_at":"2026-05-18T01:33:34.222286+00:00","updated_at":"2026-05-18T01:33:34.222286+00:00"}