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The process $L$ is renormalized as $X^\\varepsilon(t) = \\varepsilon L(r_\\varepsilon t)$, $t\\in [0, T]$, for a scaling parameter $r_\\varepsilon= o(\\varepsilon^{-1})$, as $\\varepsilon \\to 0$. We study the behavior of the bridge $Y^{\\varepsilon, x}$ of the renormalized process $X^\\varepsilon$ conditioned on the event $X^\\varepsilon(T) = x$ for a given end point $x\\neq 0$ and end time $T>0$ in the regime of small $\\varepsilon"},"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":"2505.23972","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-05-29T19:56:03Z","cross_cats_sorted":[],"title_canon_sha256":"037e9603149f5b43d09620a51a2c25f7374ab6ee83ec0cf69b011a17b64910dc","abstract_canon_sha256":"951ea0b5ec42afc47f193bc39ae6f0ca9adae08aa515f23ab19077b206b87183"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:39.328729Z","signature_b64":"g+m5ptEcNKWhsHi5PG87XIrFTmCaMFcwapk/7Y8EVGTDqilrowXWZMB3yk6CLX2vwTvg6u+hnvqhA/A7qarzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bd57bddb4e333911d74e1e9c4adc6bd9fad4d3eebb7ee76c9d79a0eef2c7262","last_reissued_at":"2026-07-05T11:12:39.328182Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:39.328182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations for light-tailed L\\'evy bridges on short time scales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Michael A. 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We study the behavior of the bridge $Y^{\\varepsilon, x}$ of the renormalized process $X^\\varepsilon$ conditioned on the event $X^\\varepsilon(T) = x$ for a given end point $x\\neq 0$ and end time $T>0$ in the regime of small $\\varepsilon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.23972","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.23972/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2505.23972","created_at":"2026-07-05T11:12:39.328246+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.23972v1","created_at":"2026-07-05T11:12:39.328246+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.23972","created_at":"2026-07-05T11:12:39.328246+00:00"},{"alias_kind":"pith_short_12","alias_value":"BPKXXXNU4MZZ","created_at":"2026-07-05T11:12:39.328246+00:00"},{"alias_kind":"pith_short_16","alias_value":"BPKXXXNU4MZZCHLU","created_at":"2026-07-05T11:12:39.328246+00:00"},{"alias_kind":"pith_short_8","alias_value":"BPKXXXNU","created_at":"2026-07-05T11:12:39.328246+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/BPKXXXNU4MZZCHLU4HU4JLOGXW","json":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW.json","graph_json":"https://pith.science/api/pith-number/BPKXXXNU4MZZCHLU4HU4JLOGXW/graph.json","events_json":"https://pith.science/api/pith-number/BPKXXXNU4MZZCHLU4HU4JLOGXW/events.json","paper":"https://pith.science/paper/BPKXXXNU"},"agent_actions":{"view_html":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW","download_json":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW.json","view_paper":"https://pith.science/paper/BPKXXXNU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.23972&json=true","fetch_graph":"https://pith.science/api/pith-number/BPKXXXNU4MZZCHLU4HU4JLOGXW/graph.json","fetch_events":"https://pith.science/api/pith-number/BPKXXXNU4MZZCHLU4HU4JLOGXW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW/action/storage_attestation","attest_author":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW/action/author_attestation","sign_citation":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW/action/citation_signature","submit_replication":"https://pith.science/pith/BPKXXXNU4MZZCHLU4HU4JLOGXW/action/replication_record"}},"created_at":"2026-07-05T11:12:39.328246+00:00","updated_at":"2026-07-05T11:12:39.328246+00:00"}