{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IV5QWKTY6WED6PKCYKJQKSP7X6","short_pith_number":"pith:IV5QWKTY","canonical_record":{"source":{"id":"1307.7797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-30T03:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"67acdd4fdcf84901177c16eaafbc94a551a2e03d1dbff01d73c54700255d8224","abstract_canon_sha256":"9ad1fd388580979d7871138de99d26d0755f414e83b31ee75b6fbd53a76786b4"},"schema_version":"1.0"},"canonical_sha256":"457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3","source":{"kind":"arxiv","id":"1307.7797","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7797","created_at":"2026-05-18T03:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7797v1","created_at":"2026-05-18T03:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7797","created_at":"2026-05-18T03:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"IV5QWKTY6WED","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IV5QWKTY6WED6PKC","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IV5QWKTY","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IV5QWKTY6WED6PKCYKJQKSP7X6","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-30T03:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"67acdd4fdcf84901177c16eaafbc94a551a2e03d1dbff01d73c54700255d8224","abstract_canon_sha256":"9ad1fd388580979d7871138de99d26d0755f414e83b31ee75b6fbd53a76786b4"},"schema_version":"1.0"},"canonical_sha256":"457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:13.540637Z","signature_b64":"sywzFGGDoLSvphBaQUIasrgNkm44Tpyj75OVG+Wf7P74DZQKSa7QY35h+YRH4i+AHvuFB4LotIgKTiyv1AYiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3","last_reissued_at":"2026-05-18T03:17:13.539988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:13.539988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7797","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":"2026-05-18T03:17:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1jPjsu9ZG8Xmx5zccxjLabNAs8hn8mRDvZnjl5LM0wCdFZFgB732EjAbuLt4O8wkTAZSzxb0Yr7TojjpIibBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:17:59.970377Z"},"content_sha256":"3de5565ca4b1aa6c4b0c7b166940d8d5054697ed0264e24f5fd05efe922f412c","schema_version":"1.0","event_id":"sha256:3de5565ca4b1aa6c4b0c7b166940d8d5054697ed0264e24f5fd05efe922f412c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IV5QWKTY6WED6PKCYKJQKSP7X6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Shaoyu Dai, Yifei Pan","submitted_at":"2013-07-30T03:34:00Z","abstract_excerpt":"In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces. This extends the classical Schwarz-Pick lemma and the related result proved by Pavlovic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7797","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":"2026-05-18T03:17:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ojjd5R6qw+kzBDD0FDABg+K73svjJVN+bAJpZsGyclym5/2hEZ2QSstODMeVG3OMcB2hNHqE1uHNVvOcOV2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:17:59.970735Z"},"content_sha256":"91ab02898785cf505a5c3f1a965c695e74d40ad4f21ed7c49fc2a5b66d171a14","schema_version":"1.0","event_id":"sha256:91ab02898785cf505a5c3f1a965c695e74d40ad4f21ed7c49fc2a5b66d171a14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IV5QWKTY6WED6PKCYKJQKSP7X6/bundle.json","state_url":"https://pith.science/pith/IV5QWKTY6WED6PKCYKJQKSP7X6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IV5QWKTY6WED6PKCYKJQKSP7X6/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":"2026-06-01T22:17:59Z","links":{"resolver":"https://pith.science/pith/IV5QWKTY6WED6PKCYKJQKSP7X6","bundle":"https://pith.science/pith/IV5QWKTY6WED6PKCYKJQKSP7X6/bundle.json","state":"https://pith.science/pith/IV5QWKTY6WED6PKCYKJQKSP7X6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IV5QWKTY6WED6PKCYKJQKSP7X6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IV5QWKTY6WED6PKCYKJQKSP7X6","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":"9ad1fd388580979d7871138de99d26d0755f414e83b31ee75b6fbd53a76786b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-30T03:34:00Z","title_canon_sha256":"67acdd4fdcf84901177c16eaafbc94a551a2e03d1dbff01d73c54700255d8224"},"schema_version":"1.0","source":{"id":"1307.7797","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7797","created_at":"2026-05-18T03:17:13Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7797v1","created_at":"2026-05-18T03:17:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7797","created_at":"2026-05-18T03:17:13Z"},{"alias_kind":"pith_short_12","alias_value":"IV5QWKTY6WED","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IV5QWKTY6WED6PKC","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IV5QWKTY","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:91ab02898785cf505a5c3f1a965c695e74d40ad4f21ed7c49fc2a5b66d171a14","target":"graph","created_at":"2026-05-18T03:17:13Z","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":"In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces. This extends the classical Schwarz-Pick lemma and the related result proved by Pavlovic.","authors_text":"Shaoyu Dai, Yifei Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-30T03:34:00Z","title":"A Schwarz-Pick lemma for the modulus of holomorphic mappings between the unit balls in complex spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7797","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":"sha256:3de5565ca4b1aa6c4b0c7b166940d8d5054697ed0264e24f5fd05efe922f412c","target":"record","created_at":"2026-05-18T03:17:13Z","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":"9ad1fd388580979d7871138de99d26d0755f414e83b31ee75b6fbd53a76786b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-07-30T03:34:00Z","title_canon_sha256":"67acdd4fdcf84901177c16eaafbc94a551a2e03d1dbff01d73c54700255d8224"},"schema_version":"1.0","source":{"id":"1307.7797","kind":"arxiv","version":1}},"canonical_sha256":"457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"457b0b2a78f5883f3d42c2930549ffbfa8fdf86b692c548a3db8e11ed38b08d3","first_computed_at":"2026-05-18T03:17:13.539988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:13.539988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sywzFGGDoLSvphBaQUIasrgNkm44Tpyj75OVG+Wf7P74DZQKSa7QY35h+YRH4i+AHvuFB4LotIgKTiyv1AYiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:13.540637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7797","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3de5565ca4b1aa6c4b0c7b166940d8d5054697ed0264e24f5fd05efe922f412c","sha256:91ab02898785cf505a5c3f1a965c695e74d40ad4f21ed7c49fc2a5b66d171a14"],"state_sha256":"738b4a2993dbebcaca8425a10d88c84aab4def07b40592be75fd9e10c9665fa2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNssBF5Nt6rcOhrt9Fu/xBJIWUnpBdmBtHaXXT9jWQoxQ4/vzTV784TzIZXJA6gzQRpvFHzKtxXxx1lTrlmnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:17:59.972736Z","bundle_sha256":"1dabb6e18106249c43b71dfd1ba69b793367fd347fc979667633d4011101b130"}}