{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CBGQIKBOT22CCZYLLQSCJFKBG7","short_pith_number":"pith:CBGQIKBO","canonical_record":{"source":{"id":"1807.09451","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-25T06:45:54Z","cross_cats_sorted":[],"title_canon_sha256":"528fdf1c2ca9b918b3411cb16f49d2c364a92c66c0e7986538adc4af4c927a69","abstract_canon_sha256":"66e163b694eabef31bbbd08f61c5e1e18b4ab6c8d3668827234e2256cd3254fc"},"schema_version":"1.0"},"canonical_sha256":"104d04282e9eb421670b5c2424954137ce9d6cded0672049d4aebac35a452b8f","source":{"kind":"arxiv","id":"1807.09451","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09451","created_at":"2026-05-18T00:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09451v2","created_at":"2026-05-18T00:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09451","created_at":"2026-05-18T00:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"CBGQIKBOT22C","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CBGQIKBOT22CCZYL","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CBGQIKBO","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CBGQIKBOT22CCZYLLQSCJFKBG7","target":"record","payload":{"canonical_record":{"source":{"id":"1807.09451","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-25T06:45:54Z","cross_cats_sorted":[],"title_canon_sha256":"528fdf1c2ca9b918b3411cb16f49d2c364a92c66c0e7986538adc4af4c927a69","abstract_canon_sha256":"66e163b694eabef31bbbd08f61c5e1e18b4ab6c8d3668827234e2256cd3254fc"},"schema_version":"1.0"},"canonical_sha256":"104d04282e9eb421670b5c2424954137ce9d6cded0672049d4aebac35a452b8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:59.588992Z","signature_b64":"3ZNxukwvjxQlDsw4Df4UR6jvi6vfl4+UqfU+DiwDO9UUQJq3dhJ9/egyg4nWg4T/Zesa0xXO8GojTOiNecAUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"104d04282e9eb421670b5c2424954137ce9d6cded0672049d4aebac35a452b8f","last_reissued_at":"2026-05-18T00:08:59.588302Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:59.588302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.09451","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pusIr9HnOIBK6snjfpJdKg3Jl2PO/G6UKRf1vCztrjMQUXc02tWU+Dh1BJLimCUIOoCvcSWMVUVYMLdK+Nw3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:54:28.372364Z"},"content_sha256":"f7f1db7b93cb91228ea0ca39cd7d86909d48b6e6a526d7b12311af3fe011f96d","schema_version":"1.0","event_id":"sha256:f7f1db7b93cb91228ea0ca39cd7d86909d48b6e6a526d7b12311af3fe011f96d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CBGQIKBOT22CCZYLLQSCJFKBG7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A comparison of two biholomorphic invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kaushal Verma, Prachi Mahajan","submitted_at":"2018-07-25T06:45:54Z","abstract_excerpt":"The Fridman invariant, which is a biholomorphic invariant on Kobayashi hyperbolic manifolds, can be seen as the dual of the much studied squeezing function. We compare this pair of invariants by showing that they are both equally capable of determining the boundary geometry of a bounded domain if their boundary behaviour is apriori known."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09451","kind":"arxiv","version":2},"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":"2026-05-18T00:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YoahK2Hx4G/p2aJTI8KvLm2jGls+J32WKaIjfj/KDMdEQCcHyInXiESd9/dCdbANemSyQiCL4iLKDKCC4GeXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:54:28.372713Z"},"content_sha256":"618c9084c078718879391d5c91198829d862b20ca74ad41b56dfb71902f937c9","schema_version":"1.0","event_id":"sha256:618c9084c078718879391d5c91198829d862b20ca74ad41b56dfb71902f937c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CBGQIKBOT22CCZYLLQSCJFKBG7/bundle.json","state_url":"https://pith.science/pith/CBGQIKBOT22CCZYLLQSCJFKBG7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CBGQIKBOT22CCZYLLQSCJFKBG7/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":"2026-06-26T13:54:28Z","links":{"resolver":"https://pith.science/pith/CBGQIKBOT22CCZYLLQSCJFKBG7","bundle":"https://pith.science/pith/CBGQIKBOT22CCZYLLQSCJFKBG7/bundle.json","state":"https://pith.science/pith/CBGQIKBOT22CCZYLLQSCJFKBG7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CBGQIKBOT22CCZYLLQSCJFKBG7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CBGQIKBOT22CCZYLLQSCJFKBG7","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":"66e163b694eabef31bbbd08f61c5e1e18b4ab6c8d3668827234e2256cd3254fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-25T06:45:54Z","title_canon_sha256":"528fdf1c2ca9b918b3411cb16f49d2c364a92c66c0e7986538adc4af4c927a69"},"schema_version":"1.0","source":{"id":"1807.09451","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09451","created_at":"2026-05-18T00:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09451v2","created_at":"2026-05-18T00:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09451","created_at":"2026-05-18T00:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"CBGQIKBOT22C","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"CBGQIKBOT22CCZYL","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"CBGQIKBO","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:618c9084c078718879391d5c91198829d862b20ca74ad41b56dfb71902f937c9","target":"graph","created_at":"2026-05-18T00:08:59Z","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":"The Fridman invariant, which is a biholomorphic invariant on Kobayashi hyperbolic manifolds, can be seen as the dual of the much studied squeezing function. We compare this pair of invariants by showing that they are both equally capable of determining the boundary geometry of a bounded domain if their boundary behaviour is apriori known.","authors_text":"Kaushal Verma, Prachi Mahajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-25T06:45:54Z","title":"A comparison of two biholomorphic invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09451","kind":"arxiv","version":2},"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:f7f1db7b93cb91228ea0ca39cd7d86909d48b6e6a526d7b12311af3fe011f96d","target":"record","created_at":"2026-05-18T00:08:59Z","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":"66e163b694eabef31bbbd08f61c5e1e18b4ab6c8d3668827234e2256cd3254fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-25T06:45:54Z","title_canon_sha256":"528fdf1c2ca9b918b3411cb16f49d2c364a92c66c0e7986538adc4af4c927a69"},"schema_version":"1.0","source":{"id":"1807.09451","kind":"arxiv","version":2}},"canonical_sha256":"104d04282e9eb421670b5c2424954137ce9d6cded0672049d4aebac35a452b8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"104d04282e9eb421670b5c2424954137ce9d6cded0672049d4aebac35a452b8f","first_computed_at":"2026-05-18T00:08:59.588302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:59.588302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ZNxukwvjxQlDsw4Df4UR6jvi6vfl4+UqfU+DiwDO9UUQJq3dhJ9/egyg4nWg4T/Zesa0xXO8GojTOiNecAUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:59.588992Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09451","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7f1db7b93cb91228ea0ca39cd7d86909d48b6e6a526d7b12311af3fe011f96d","sha256:618c9084c078718879391d5c91198829d862b20ca74ad41b56dfb71902f937c9"],"state_sha256":"9109dc6dff040b394c796b37d48fc4c5dd53bf036ad545106d7159c1895877b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CPJRFkGE1RCfInZR0xXH+68nWXef/KEyp8S6S3ebDqYeO+hHa0i59+QaHHk4ywqwtnEfdQ3nbvPHw3z7lhNXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:54:28.374703Z","bundle_sha256":"70c63d66102db829868332a21ba88c53c1287e715614a851cc8dbb4b5a9885df"}}