{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:L4BYRRAHQTMAMVSZVORRQDCKWP","short_pith_number":"pith:L4BYRRAH","canonical_record":{"source":{"id":"1810.08823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-20T16:07:17Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"90c6fc2a51abc02d3c80667ae2168acdbe6b852370d6157c50a33c9a3a8be03d","abstract_canon_sha256":"54d907f80e65cb9239e256350716d749ababee66366aa247cec8dbcac7fdd632"},"schema_version":"1.0"},"canonical_sha256":"5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a","source":{"kind":"arxiv","id":"1810.08823","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.08823","created_at":"2026-05-18T00:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"1810.08823v1","created_at":"2026-05-18T00:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.08823","created_at":"2026-05-18T00:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"L4BYRRAHQTMA","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L4BYRRAHQTMAMVSZ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L4BYRRAH","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:L4BYRRAHQTMAMVSZVORRQDCKWP","target":"record","payload":{"canonical_record":{"source":{"id":"1810.08823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-20T16:07:17Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"90c6fc2a51abc02d3c80667ae2168acdbe6b852370d6157c50a33c9a3a8be03d","abstract_canon_sha256":"54d907f80e65cb9239e256350716d749ababee66366aa247cec8dbcac7fdd632"},"schema_version":"1.0"},"canonical_sha256":"5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:41.772392Z","signature_b64":"8dua9zUSkG6UM0cSV1SoSA5/QhiPwtO2Q09YB/nFVqOptkJ3133C3mgqqU9TsGkVbmN2NcBhhDXxDavotwBDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a","last_reissued_at":"2026-05-18T00:02:41.771893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:41.771893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.08823","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":"2026-05-18T00:02:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uJhEX52f0xOFIVL0MjAPwPRta2VTJISAkTCc39NlAFAaKO0udKC6/Dqumruqqmz84DaBbYKISfOdaKXZ0ryDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:37:27.225014Z"},"content_sha256":"cff08dcb37f4ad2587c6f93572a09998c94157f4b0f78246c1d4e60c3c3ee000","schema_version":"1.0","event_id":"sha256:cff08dcb37f4ad2587c6f93572a09998c94157f4b0f78246c1d4e60c3c3ee000"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:L4BYRRAHQTMAMVSZVORRQDCKWP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schwarz lemmas for mappings with bounded Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Adel Khalfallah, Miodrag Mateljevi\\'c","submitted_at":"2018-10-20T16:07:17Z","abstract_excerpt":"We establish some Schwarz type Lemmas for mappings defined on the unit disk with bounded Laplacian. Then we apply these results to obtain boundary versions of the Schwarz lemma."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.08823","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":"2026-05-18T00:02:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c8wfoGC9i6AatXhqmwA/vCRUeReQ3PXoXsIOSqHGU/FoqCGwQuOVgNtuDrXWR/UFNLGEUnWwEgpFK2QZKLuYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T10:37:27.225370Z"},"content_sha256":"f67ed9e859b6e8368ce767d98ac9d563263dc9f927647c963124e0aaaae6ab01","schema_version":"1.0","event_id":"sha256:f67ed9e859b6e8368ce767d98ac9d563263dc9f927647c963124e0aaaae6ab01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L4BYRRAHQTMAMVSZVORRQDCKWP/bundle.json","state_url":"https://pith.science/pith/L4BYRRAHQTMAMVSZVORRQDCKWP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L4BYRRAHQTMAMVSZVORRQDCKWP/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":"2026-06-21T10:37:27Z","links":{"resolver":"https://pith.science/pith/L4BYRRAHQTMAMVSZVORRQDCKWP","bundle":"https://pith.science/pith/L4BYRRAHQTMAMVSZVORRQDCKWP/bundle.json","state":"https://pith.science/pith/L4BYRRAHQTMAMVSZVORRQDCKWP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L4BYRRAHQTMAMVSZVORRQDCKWP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:L4BYRRAHQTMAMVSZVORRQDCKWP","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":"54d907f80e65cb9239e256350716d749ababee66366aa247cec8dbcac7fdd632","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-20T16:07:17Z","title_canon_sha256":"90c6fc2a51abc02d3c80667ae2168acdbe6b852370d6157c50a33c9a3a8be03d"},"schema_version":"1.0","source":{"id":"1810.08823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.08823","created_at":"2026-05-18T00:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"1810.08823v1","created_at":"2026-05-18T00:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.08823","created_at":"2026-05-18T00:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"L4BYRRAHQTMA","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L4BYRRAHQTMAMVSZ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L4BYRRAH","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:f67ed9e859b6e8368ce767d98ac9d563263dc9f927647c963124e0aaaae6ab01","target":"graph","created_at":"2026-05-18T00:02:41Z","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 establish some Schwarz type Lemmas for mappings defined on the unit disk with bounded Laplacian. Then we apply these results to obtain boundary versions of the Schwarz lemma.","authors_text":"Adel Khalfallah, Miodrag Mateljevi\\'c","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-20T16:07:17Z","title":"Schwarz lemmas for mappings with bounded Laplacian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.08823","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:cff08dcb37f4ad2587c6f93572a09998c94157f4b0f78246c1d4e60c3c3ee000","target":"record","created_at":"2026-05-18T00:02:41Z","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":"54d907f80e65cb9239e256350716d749ababee66366aa247cec8dbcac7fdd632","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-10-20T16:07:17Z","title_canon_sha256":"90c6fc2a51abc02d3c80667ae2168acdbe6b852370d6157c50a33c9a3a8be03d"},"schema_version":"1.0","source":{"id":"1810.08823","kind":"arxiv","version":1}},"canonical_sha256":"5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f0388c40784d8065659aba3180c4ab3c12b7c6f82f21f75a786d25b060c990a","first_computed_at":"2026-05-18T00:02:41.771893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:41.771893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8dua9zUSkG6UM0cSV1SoSA5/QhiPwtO2Q09YB/nFVqOptkJ3133C3mgqqU9TsGkVbmN2NcBhhDXxDavotwBDCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:41.772392Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.08823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cff08dcb37f4ad2587c6f93572a09998c94157f4b0f78246c1d4e60c3c3ee000","sha256:f67ed9e859b6e8368ce767d98ac9d563263dc9f927647c963124e0aaaae6ab01"],"state_sha256":"e6d75cadf32419e82e04211a4fb79aab53a1c0f335b488fc8fcce86bc86f2d18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"onyKmFGWnozhbkb1I4n4swII+VBeaNlFO7UogKmkQBfdY6EX3yvNNVOtK3DcdzEp4ga0E68bxA7H3zQ7gMsmAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T10:37:27.227228Z","bundle_sha256":"507cc037daadcb72424f18c7677a2e84e3188430e76190b0bde50963d09392ec"}}