{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CF6SVPUWRZD3HM44J4UDKS3GUN","short_pith_number":"pith:CF6SVPUW","canonical_record":{"source":{"id":"1303.2854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-12T11:54:07Z","cross_cats_sorted":[],"title_canon_sha256":"2bb472b16f6f5547f8fce27aa370f29a585c3bd028a34a6d2aee6893c1f34ef3","abstract_canon_sha256":"7aa40076714c1ef291b7a2c22e7a0d75f1d148ab15cbf502489520e57a53a1a8"},"schema_version":"1.0"},"canonical_sha256":"117d2abe968e47b3b39c4f28354b66a378254e814982959032dc48cec6add79a","source":{"kind":"arxiv","id":"1303.2854","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2854","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2854v1","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2854","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"pith_short_12","alias_value":"CF6SVPUWRZD3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CF6SVPUWRZD3HM44","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CF6SVPUW","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CF6SVPUWRZD3HM44J4UDKS3GUN","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-12T11:54:07Z","cross_cats_sorted":[],"title_canon_sha256":"2bb472b16f6f5547f8fce27aa370f29a585c3bd028a34a6d2aee6893c1f34ef3","abstract_canon_sha256":"7aa40076714c1ef291b7a2c22e7a0d75f1d148ab15cbf502489520e57a53a1a8"},"schema_version":"1.0"},"canonical_sha256":"117d2abe968e47b3b39c4f28354b66a378254e814982959032dc48cec6add79a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:07.840164Z","signature_b64":"bv5vO6/TfVDvLQuoLtW/fQ4iAhl26/jWHmKYp73fYlOh7lUK7dm/OizugVYtLPgWujqTDxBq44t3J2XBfGLeAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"117d2abe968e47b3b39c4f28354b66a378254e814982959032dc48cec6add79a","last_reissued_at":"2026-05-18T03:31:07.839266Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:07.839266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2854","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvzbeaJIRarlC/fpDmrLJ1UaE/BJRsGV9+1YYH7636U8Wvqn+IK6c1wWcXr4LpjnRm4YJt3O4lYGwhUTh9YGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:27:24.150787Z"},"content_sha256":"de7c09cc19cecc4f9c2f01d75c813f5108a3667f1ec09d1895f9ec4c67bf3542","schema_version":"1.0","event_id":"sha256:de7c09cc19cecc4f9c2f01d75c813f5108a3667f1ec09d1895f9ec4c67bf3542"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CF6SVPUWRZD3HM44J4UDKS3GUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large deviation principle for bridges of degenerate diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ismael Bailleul","submitted_at":"2013-03-12T11:54:07Z","abstract_excerpt":"We prove that bridges of subelliptic diffusions on a compact manifold, with distinct ends, satisfy a large deviation principle in a space of Holder continuous functions, with a good rate function, when the travel time tends to 0. This leads to the identification of the deterministic first order asymptotics of the distribution of the bridge under generic conditions on the endpoints of the bridge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2854","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ye+aeW++Xs2lfrHXB/Q7nvCY4oF9YIqEGXoZw5D/kp5qiuosXuzU/Sd/HzzegMphgm+/VDS9G+RNHuWSFo8EDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:27:24.151597Z"},"content_sha256":"9efe32e30c38840b8dbf2815ea22895e3c4131a0f2542f3042d6a98f02924cc7","schema_version":"1.0","event_id":"sha256:9efe32e30c38840b8dbf2815ea22895e3c4131a0f2542f3042d6a98f02924cc7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CF6SVPUWRZD3HM44J4UDKS3GUN/bundle.json","state_url":"https://pith.science/pith/CF6SVPUWRZD3HM44J4UDKS3GUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CF6SVPUWRZD3HM44J4UDKS3GUN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T01:27:24Z","links":{"resolver":"https://pith.science/pith/CF6SVPUWRZD3HM44J4UDKS3GUN","bundle":"https://pith.science/pith/CF6SVPUWRZD3HM44J4UDKS3GUN/bundle.json","state":"https://pith.science/pith/CF6SVPUWRZD3HM44J4UDKS3GUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CF6SVPUWRZD3HM44J4UDKS3GUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CF6SVPUWRZD3HM44J4UDKS3GUN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7aa40076714c1ef291b7a2c22e7a0d75f1d148ab15cbf502489520e57a53a1a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-12T11:54:07Z","title_canon_sha256":"2bb472b16f6f5547f8fce27aa370f29a585c3bd028a34a6d2aee6893c1f34ef3"},"schema_version":"1.0","source":{"id":"1303.2854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2854","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2854v1","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2854","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"pith_short_12","alias_value":"CF6SVPUWRZD3","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CF6SVPUWRZD3HM44","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CF6SVPUW","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:9efe32e30c38840b8dbf2815ea22895e3c4131a0f2542f3042d6a98f02924cc7","target":"graph","created_at":"2026-05-18T03:31:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove that bridges of subelliptic diffusions on a compact manifold, with distinct ends, satisfy a large deviation principle in a space of Holder continuous functions, with a good rate function, when the travel time tends to 0. This leads to the identification of the deterministic first order asymptotics of the distribution of the bridge under generic conditions on the endpoints of the bridge.","authors_text":"Ismael Bailleul","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-12T11:54:07Z","title":"Large deviation principle for bridges of degenerate diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2854","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:de7c09cc19cecc4f9c2f01d75c813f5108a3667f1ec09d1895f9ec4c67bf3542","target":"record","created_at":"2026-05-18T03:31:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7aa40076714c1ef291b7a2c22e7a0d75f1d148ab15cbf502489520e57a53a1a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-03-12T11:54:07Z","title_canon_sha256":"2bb472b16f6f5547f8fce27aa370f29a585c3bd028a34a6d2aee6893c1f34ef3"},"schema_version":"1.0","source":{"id":"1303.2854","kind":"arxiv","version":1}},"canonical_sha256":"117d2abe968e47b3b39c4f28354b66a378254e814982959032dc48cec6add79a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"117d2abe968e47b3b39c4f28354b66a378254e814982959032dc48cec6add79a","first_computed_at":"2026-05-18T03:31:07.839266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:07.839266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bv5vO6/TfVDvLQuoLtW/fQ4iAhl26/jWHmKYp73fYlOh7lUK7dm/OizugVYtLPgWujqTDxBq44t3J2XBfGLeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:07.840164Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de7c09cc19cecc4f9c2f01d75c813f5108a3667f1ec09d1895f9ec4c67bf3542","sha256:9efe32e30c38840b8dbf2815ea22895e3c4131a0f2542f3042d6a98f02924cc7"],"state_sha256":"71e0b92fb01fad3dd9a5c417be7b9c19a2c3646e52225d5af81eaf40ff52acf6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r58V6UnDxNSZwiKcXz0xSw1AONM6F1GVahVd9IBLtPjKWGWPp4dKubKRQC6QwlAYg5Mg2RpwsSeY+Y7egWswBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:27:24.156931Z","bundle_sha256":"434426d8fe9247bd2c181dd183cb4554e5c45b19fc125cc00e30d6523a34a0fb"}}