{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7BLA2YR7PSR74DRFSBVINNMDU6","short_pith_number":"pith:7BLA2YR7","canonical_record":{"source":{"id":"1707.04624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-14T20:07:09Z","cross_cats_sorted":[],"title_canon_sha256":"025404b0954783c2713033c750b4f236b68f701db68e37607ad76b94b7f05900","abstract_canon_sha256":"a588449e7cb59f95d18d3d71796214994a7cc58cc9e5fdd2b926ce9f905cb814"},"schema_version":"1.0"},"canonical_sha256":"f8560d623f7ca3fe0e25906a86b583a790d69fafbec99e1551a4c525134f003f","source":{"kind":"arxiv","id":"1707.04624","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04624","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04624v1","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04624","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"7BLA2YR7PSR7","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"7BLA2YR7PSR74DRF","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"7BLA2YR7","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7BLA2YR7PSR74DRFSBVINNMDU6","target":"record","payload":{"canonical_record":{"source":{"id":"1707.04624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-14T20:07:09Z","cross_cats_sorted":[],"title_canon_sha256":"025404b0954783c2713033c750b4f236b68f701db68e37607ad76b94b7f05900","abstract_canon_sha256":"a588449e7cb59f95d18d3d71796214994a7cc58cc9e5fdd2b926ce9f905cb814"},"schema_version":"1.0"},"canonical_sha256":"f8560d623f7ca3fe0e25906a86b583a790d69fafbec99e1551a4c525134f003f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:17.070102Z","signature_b64":"GehK4jkEi8v/pdEF/YblHx+PrFra4kch+pLBLjSlXQGeonVYcqQupX+uef8GGeP/NQi1YgfHiLvXFVoZ9qn4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8560d623f7ca3fe0e25906a86b583a790d69fafbec99e1551a4c525134f003f","last_reissued_at":"2026-05-18T00:40:17.069358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:17.069358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.04624","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":"2026-05-18T00:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h7szZ2MlThVjbCmUDyF8RvJUpOc6U4+CZWpwMNpd/isXSepU7wanoyFj7LuuCExkvIuP29wvmyI6Q7433DxYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:22:12.987861Z"},"content_sha256":"116ee05c1a047a37e60d267616ea7f28caa9ba1ed7eec7f48822cc099ab7610f","schema_version":"1.0","event_id":"sha256:116ee05c1a047a37e60d267616ea7f28caa9ba1ed7eec7f48822cc099ab7610f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7BLA2YR7PSR74DRFSBVINNMDU6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smoothing of limit linear series on curves and metrized complexes of pseudocompact type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xiang He","submitted_at":"2017-07-14T20:07:09Z","abstract_excerpt":"We investigate the connection between Osserman limit series (on curves of pseudocompact type) and Amini-Baker limit linear series (on metrized complexes with corresponding underlying curve) via a notion of pre-limit linear series on curves of the same type. Then, applying the smoothing theorems of Osserman limit linear series, we deduce that, fixing certain metrized complexes, or for certain types of Amini-Baker limit linear series, the smoothability is equivalent to a certain \"weak glueing condition\". Also for arbitrary metrized complexes of pseudocompact type the weak glueing condition (when"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04624","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":"2026-05-18T00:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0fockg14/WpigH/8yK5+y7dhCtrwcKCccz6sg/iuku5vMcg1TrhCLRzlXrEAE8JwhAhiCfHjkQlf97gZOBcjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:22:12.988610Z"},"content_sha256":"f2f2155d1ca83afaa9f47342f289d657ce87df08e1c08c40dfa8ae92420e9c23","schema_version":"1.0","event_id":"sha256:f2f2155d1ca83afaa9f47342f289d657ce87df08e1c08c40dfa8ae92420e9c23"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7BLA2YR7PSR74DRFSBVINNMDU6/bundle.json","state_url":"https://pith.science/pith/7BLA2YR7PSR74DRFSBVINNMDU6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7BLA2YR7PSR74DRFSBVINNMDU6/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":"2026-06-03T07:22:12Z","links":{"resolver":"https://pith.science/pith/7BLA2YR7PSR74DRFSBVINNMDU6","bundle":"https://pith.science/pith/7BLA2YR7PSR74DRFSBVINNMDU6/bundle.json","state":"https://pith.science/pith/7BLA2YR7PSR74DRFSBVINNMDU6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7BLA2YR7PSR74DRFSBVINNMDU6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7BLA2YR7PSR74DRFSBVINNMDU6","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":"a588449e7cb59f95d18d3d71796214994a7cc58cc9e5fdd2b926ce9f905cb814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-14T20:07:09Z","title_canon_sha256":"025404b0954783c2713033c750b4f236b68f701db68e37607ad76b94b7f05900"},"schema_version":"1.0","source":{"id":"1707.04624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.04624","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"1707.04624v1","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04624","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"7BLA2YR7PSR7","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"7BLA2YR7PSR74DRF","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"7BLA2YR7","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:f2f2155d1ca83afaa9f47342f289d657ce87df08e1c08c40dfa8ae92420e9c23","target":"graph","created_at":"2026-05-18T00:40:17Z","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 investigate the connection between Osserman limit series (on curves of pseudocompact type) and Amini-Baker limit linear series (on metrized complexes with corresponding underlying curve) via a notion of pre-limit linear series on curves of the same type. Then, applying the smoothing theorems of Osserman limit linear series, we deduce that, fixing certain metrized complexes, or for certain types of Amini-Baker limit linear series, the smoothability is equivalent to a certain \"weak glueing condition\". Also for arbitrary metrized complexes of pseudocompact type the weak glueing condition (when","authors_text":"Xiang He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-14T20:07:09Z","title":"Smoothing of limit linear series on curves and metrized complexes of pseudocompact type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04624","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":"sha256:116ee05c1a047a37e60d267616ea7f28caa9ba1ed7eec7f48822cc099ab7610f","target":"record","created_at":"2026-05-18T00:40:17Z","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":"a588449e7cb59f95d18d3d71796214994a7cc58cc9e5fdd2b926ce9f905cb814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-14T20:07:09Z","title_canon_sha256":"025404b0954783c2713033c750b4f236b68f701db68e37607ad76b94b7f05900"},"schema_version":"1.0","source":{"id":"1707.04624","kind":"arxiv","version":1}},"canonical_sha256":"f8560d623f7ca3fe0e25906a86b583a790d69fafbec99e1551a4c525134f003f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8560d623f7ca3fe0e25906a86b583a790d69fafbec99e1551a4c525134f003f","first_computed_at":"2026-05-18T00:40:17.069358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:17.069358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GehK4jkEi8v/pdEF/YblHx+PrFra4kch+pLBLjSlXQGeonVYcqQupX+uef8GGeP/NQi1YgfHiLvXFVoZ9qn4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:17.070102Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.04624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:116ee05c1a047a37e60d267616ea7f28caa9ba1ed7eec7f48822cc099ab7610f","sha256:f2f2155d1ca83afaa9f47342f289d657ce87df08e1c08c40dfa8ae92420e9c23"],"state_sha256":"2a193f06ee3f6162dc3155cfdaab3ad5b7e52dc10e4ac01e063d909618da4978"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5cPR1alxmoQn29UcTNhBZxLm0rcV4xQ+nK2VAIgOofn8Phur70UgBPQB2BxL4eJbBxj9p3fXZXpWCXzduuUaCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:22:12.990480Z","bundle_sha256":"4e7fe606217fc097f30e2d471ba09889df0ddd91232fa6b5c9edbd0b07e40c0e"}}