{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:H5P27J6QKZDKHHG2W76FRPA2T5","short_pith_number":"pith:H5P27J6Q","canonical_record":{"source":{"id":"1303.5216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T10:00:13Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e37f04ad98e2503f3d1d637154980a0fea4fadf71baece4dfa76f5439924c7c5","abstract_canon_sha256":"c12ac53205f52cc52f4c5a69fb0ad330d685bfcae588cabd2f9a77b0c6a05c6b"},"schema_version":"1.0"},"canonical_sha256":"3f5fafa7d05646a39cdab7fc58bc1a9f53868c7aa581ecf196d2f6b464041e68","source":{"kind":"arxiv","id":"1303.5216","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5216","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5216v1","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5216","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"H5P27J6QKZDK","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H5P27J6QKZDKHHG2","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H5P27J6Q","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:H5P27J6QKZDKHHG2W76FRPA2T5","target":"record","payload":{"canonical_record":{"source":{"id":"1303.5216","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T10:00:13Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"e37f04ad98e2503f3d1d637154980a0fea4fadf71baece4dfa76f5439924c7c5","abstract_canon_sha256":"c12ac53205f52cc52f4c5a69fb0ad330d685bfcae588cabd2f9a77b0c6a05c6b"},"schema_version":"1.0"},"canonical_sha256":"3f5fafa7d05646a39cdab7fc58bc1a9f53868c7aa581ecf196d2f6b464041e68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:13.591100Z","signature_b64":"RwklJBt+3fBBVR4br2/1qZOWILVe+Ab3V7UybYrRqnWyoUse2ux82XS2B959VF0OmaidtC2qZFiW/Q4Xj2G4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f5fafa7d05646a39cdab7fc58bc1a9f53868c7aa581ecf196d2f6b464041e68","last_reissued_at":"2026-05-18T03:30:13.590341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:13.590341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.5216","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":"2026-05-18T03:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cSrQybT9TPve5GzOkS5XADjSe0KUogNiESFg5KEVQjxxDG35Xos8kdBdxG8iR+vS6XgOmeHGiKxHdvnnMZEXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:37:48.586670Z"},"content_sha256":"05d024bf1f8f4e693e5b4b2ef18dd6148fc7bda91f9b66ead140d32de2d4866d","schema_version":"1.0","event_id":"sha256:05d024bf1f8f4e693e5b4b2ef18dd6148fc7bda91f9b66ead140d32de2d4866d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:H5P27J6QKZDKHHG2W76FRPA2T5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary regular fixed points in Loewner theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.CV","authors_text":"Filippo Bracci, Manuel D. Contreras, Pavel Gumenyuk, Santiago Diaz-Madrigal","submitted_at":"2013-03-21T10:00:13Z","abstract_excerpt":"We characterize regular fixed points of evolution families in terms of analytical properties of the associated Herglotz vector fields and geometrical properties of the associated Loewner chains. We present several examples showing the r\\^ole of the given conditions. Moreover, we study the relations between evolution families and Herglotz vector fields at regular contact points and prove an embedding result for univalent self-maps of the unit disc with a given boundary regular fixed point into an evolution family with prescribed boundary data."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5216","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":"2026-05-18T03:30:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QT4nEiFxLloNzPvLXvrAqXDC7sVqJtEbyR3QjvYe31ss6ZapX1qcdRKw6kPOqfl/lb4EhY5rPFcFvUpt9hrGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:37:48.587261Z"},"content_sha256":"ba86a0675955a2c8250933dfec9152f84ff7775b4a2ab3f9eedc4745d6593f87","schema_version":"1.0","event_id":"sha256:ba86a0675955a2c8250933dfec9152f84ff7775b4a2ab3f9eedc4745d6593f87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H5P27J6QKZDKHHG2W76FRPA2T5/bundle.json","state_url":"https://pith.science/pith/H5P27J6QKZDKHHG2W76FRPA2T5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H5P27J6QKZDKHHG2W76FRPA2T5/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":"2026-05-27T09:37:48Z","links":{"resolver":"https://pith.science/pith/H5P27J6QKZDKHHG2W76FRPA2T5","bundle":"https://pith.science/pith/H5P27J6QKZDKHHG2W76FRPA2T5/bundle.json","state":"https://pith.science/pith/H5P27J6QKZDKHHG2W76FRPA2T5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H5P27J6QKZDKHHG2W76FRPA2T5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:H5P27J6QKZDKHHG2W76FRPA2T5","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":"c12ac53205f52cc52f4c5a69fb0ad330d685bfcae588cabd2f9a77b0c6a05c6b","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T10:00:13Z","title_canon_sha256":"e37f04ad98e2503f3d1d637154980a0fea4fadf71baece4dfa76f5439924c7c5"},"schema_version":"1.0","source":{"id":"1303.5216","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5216","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5216v1","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5216","created_at":"2026-05-18T03:30:13Z"},{"alias_kind":"pith_short_12","alias_value":"H5P27J6QKZDK","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H5P27J6QKZDKHHG2","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H5P27J6Q","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:ba86a0675955a2c8250933dfec9152f84ff7775b4a2ab3f9eedc4745d6593f87","target":"graph","created_at":"2026-05-18T03:30:13Z","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 characterize regular fixed points of evolution families in terms of analytical properties of the associated Herglotz vector fields and geometrical properties of the associated Loewner chains. We present several examples showing the r\\^ole of the given conditions. Moreover, we study the relations between evolution families and Herglotz vector fields at regular contact points and prove an embedding result for univalent self-maps of the unit disc with a given boundary regular fixed point into an evolution family with prescribed boundary data.","authors_text":"Filippo Bracci, Manuel D. Contreras, Pavel Gumenyuk, Santiago Diaz-Madrigal","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T10:00:13Z","title":"Boundary regular fixed points in Loewner theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5216","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":"sha256:05d024bf1f8f4e693e5b4b2ef18dd6148fc7bda91f9b66ead140d32de2d4866d","target":"record","created_at":"2026-05-18T03:30:13Z","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":"c12ac53205f52cc52f4c5a69fb0ad330d685bfcae588cabd2f9a77b0c6a05c6b","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-03-21T10:00:13Z","title_canon_sha256":"e37f04ad98e2503f3d1d637154980a0fea4fadf71baece4dfa76f5439924c7c5"},"schema_version":"1.0","source":{"id":"1303.5216","kind":"arxiv","version":1}},"canonical_sha256":"3f5fafa7d05646a39cdab7fc58bc1a9f53868c7aa581ecf196d2f6b464041e68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f5fafa7d05646a39cdab7fc58bc1a9f53868c7aa581ecf196d2f6b464041e68","first_computed_at":"2026-05-18T03:30:13.590341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:13.590341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RwklJBt+3fBBVR4br2/1qZOWILVe+Ab3V7UybYrRqnWyoUse2ux82XS2B959VF0OmaidtC2qZFiW/Q4Xj2G4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:13.591100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5216","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05d024bf1f8f4e693e5b4b2ef18dd6148fc7bda91f9b66ead140d32de2d4866d","sha256:ba86a0675955a2c8250933dfec9152f84ff7775b4a2ab3f9eedc4745d6593f87"],"state_sha256":"a6f92c6f280e10e18a2136d2cc9eb72f38e01e8280a61d8b3c3991549bb02707"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6pU02rYCwRqwLMUBskAonzccWxV5HHMHqwu2CYwpbEK/YC1YN2ZsFi/8BGVeBm7rbhMQKuJLmbNxBry08QXiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:37:48.590597Z","bundle_sha256":"3a03445103a32f5de5dc57ce8a694de7ff4efdb401f58285f8f17e564a234a96"}}