{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YSBDQ3WC7PE7NIJLWGZYXUHXIH","short_pith_number":"pith:YSBDQ3WC","canonical_record":{"source":{"id":"1511.03117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-10T14:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"bffc94019c3e38e8bcc81d36bd28eb010bfbd17ab8ac26db7dfc15ce550b1003","abstract_canon_sha256":"b0ecd68047c00f7ef80835adfa0e8bdb4caa5aa909fe7ed20b132e5c65edcbfa"},"schema_version":"1.0"},"canonical_sha256":"c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1","source":{"kind":"arxiv","id":"1511.03117","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03117","created_at":"2026-05-18T01:08:43Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03117v1","created_at":"2026-05-18T01:08:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03117","created_at":"2026-05-18T01:08:43Z"},{"alias_kind":"pith_short_12","alias_value":"YSBDQ3WC7PE7","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YSBDQ3WC7PE7NIJL","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YSBDQ3WC","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YSBDQ3WC7PE7NIJLWGZYXUHXIH","target":"record","payload":{"canonical_record":{"source":{"id":"1511.03117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-10T14:00:36Z","cross_cats_sorted":[],"title_canon_sha256":"bffc94019c3e38e8bcc81d36bd28eb010bfbd17ab8ac26db7dfc15ce550b1003","abstract_canon_sha256":"b0ecd68047c00f7ef80835adfa0e8bdb4caa5aa909fe7ed20b132e5c65edcbfa"},"schema_version":"1.0"},"canonical_sha256":"c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:43.194832Z","signature_b64":"fxCW4fLw2Cv36/mC5OL6tqTUrX9rov1zRYGI4DDSBqj1S98cLArDfYyGmds58N1wz1YFFikh5Wre3VlSNjOPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1","last_reissued_at":"2026-05-18T01:08:43.194304Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:43.194304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.03117","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":"2026-05-18T01:08:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9BKwwCAh3CE3sp1/wycZEBSo19/q3Ypezd3aShJ2aKpDDTy4g2j6BzNM1Pkb86QuK+KLE770wGbOPijsHt6YAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:07:13.309017Z"},"content_sha256":"d9bf65c083eab7caae10b2df6625c83c235aedb11ee7dea4f83c02f4c1718424","schema_version":"1.0","event_id":"sha256:d9bf65c083eab7caae10b2df6625c83c235aedb11ee7dea4f83c02f4c1718424"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YSBDQ3WC7PE7NIJLWGZYXUHXIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary behavior of invariant functions on planar domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Lyubomir Andreev, Maria Trybula, Nikolai Nikolov","submitted_at":"2015-11-10T14:00:36Z","abstract_excerpt":"Precise behavior of the Caratheodory, Kobayashi and Bergman metrics and distances near smooth boundary points of domains in C is found under different assumptions of regularity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03117","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":"2026-05-18T01:08:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YBMNMyczUYN0j+Oyrf40jqQVQHvPpPKYU2O2DPjFaDGftrJcp+puH5rJwyfOResIBZYJh/hp3kr+ovNyeE7iCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:07:13.309366Z"},"content_sha256":"5f226d8db69057fe62bd2237c552a5288f5c14cdac93343fd629cc32dfbf4a37","schema_version":"1.0","event_id":"sha256:5f226d8db69057fe62bd2237c552a5288f5c14cdac93343fd629cc32dfbf4a37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH/bundle.json","state_url":"https://pith.science/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH/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":"2026-06-23T03:07:13Z","links":{"resolver":"https://pith.science/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH","bundle":"https://pith.science/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH/bundle.json","state":"https://pith.science/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSBDQ3WC7PE7NIJLWGZYXUHXIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YSBDQ3WC7PE7NIJLWGZYXUHXIH","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":"b0ecd68047c00f7ef80835adfa0e8bdb4caa5aa909fe7ed20b132e5c65edcbfa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-10T14:00:36Z","title_canon_sha256":"bffc94019c3e38e8bcc81d36bd28eb010bfbd17ab8ac26db7dfc15ce550b1003"},"schema_version":"1.0","source":{"id":"1511.03117","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03117","created_at":"2026-05-18T01:08:43Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03117v1","created_at":"2026-05-18T01:08:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03117","created_at":"2026-05-18T01:08:43Z"},{"alias_kind":"pith_short_12","alias_value":"YSBDQ3WC7PE7","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YSBDQ3WC7PE7NIJL","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YSBDQ3WC","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:5f226d8db69057fe62bd2237c552a5288f5c14cdac93343fd629cc32dfbf4a37","target":"graph","created_at":"2026-05-18T01:08:43Z","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":"Precise behavior of the Caratheodory, Kobayashi and Bergman metrics and distances near smooth boundary points of domains in C is found under different assumptions of regularity.","authors_text":"Lyubomir Andreev, Maria Trybula, Nikolai Nikolov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-10T14:00:36Z","title":"Boundary behavior of invariant functions on planar domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03117","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:d9bf65c083eab7caae10b2df6625c83c235aedb11ee7dea4f83c02f4c1718424","target":"record","created_at":"2026-05-18T01:08:43Z","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":"b0ecd68047c00f7ef80835adfa0e8bdb4caa5aa909fe7ed20b132e5c65edcbfa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-11-10T14:00:36Z","title_canon_sha256":"bffc94019c3e38e8bcc81d36bd28eb010bfbd17ab8ac26db7dfc15ce550b1003"},"schema_version":"1.0","source":{"id":"1511.03117","kind":"arxiv","version":1}},"canonical_sha256":"c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c482386ec2fbc9f6a12bb1b38bd0f741d7c878e4975e48c0813bd3f38dd4e3a1","first_computed_at":"2026-05-18T01:08:43.194304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:43.194304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fxCW4fLw2Cv36/mC5OL6tqTUrX9rov1zRYGI4DDSBqj1S98cLArDfYyGmds58N1wz1YFFikh5Wre3VlSNjOPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:43.194832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03117","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9bf65c083eab7caae10b2df6625c83c235aedb11ee7dea4f83c02f4c1718424","sha256:5f226d8db69057fe62bd2237c552a5288f5c14cdac93343fd629cc32dfbf4a37"],"state_sha256":"46c5efad6885281a7cdaf821636925d8cbf4afa85f15e1d18834204e2ba5a95a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4CUDwc2S2bSdOXEZ4wEZQ7mWe1oFrIgMAfEMO5OUiuPaiWvoOZBQamV58ra5xGzJdEdoHK3r4pvhkswxR7mCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:07:13.311267Z","bundle_sha256":"77e8eefcde6fa2c90cadd750524e3508237761d8f1e47bac794d396b6051bc31"}}