{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MBVLSXKVEIAI77LTARAQI55O5U","short_pith_number":"pith:MBVLSXKV","canonical_record":{"source":{"id":"1303.2749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-12T02:17:31Z","cross_cats_sorted":[],"title_canon_sha256":"1224e6b5f2f94e120341295cba470ff918fb7654840b2afd0b1d574aded8f6af","abstract_canon_sha256":"8188041e81e1a52aa55acd146ae6814f3734f4d930c9080688687ba4894c564c"},"schema_version":"1.0"},"canonical_sha256":"606ab95d5522008ffd7304410477aeed0def84e2696f54ef32fbed687f7d770d","source":{"kind":"arxiv","id":"1303.2749","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2749","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2749v1","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2749","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"pith_short_12","alias_value":"MBVLSXKVEIAI","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"MBVLSXKVEIAI77LT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"MBVLSXKV","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MBVLSXKVEIAI77LTARAQI55O5U","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-12T02:17:31Z","cross_cats_sorted":[],"title_canon_sha256":"1224e6b5f2f94e120341295cba470ff918fb7654840b2afd0b1d574aded8f6af","abstract_canon_sha256":"8188041e81e1a52aa55acd146ae6814f3734f4d930c9080688687ba4894c564c"},"schema_version":"1.0"},"canonical_sha256":"606ab95d5522008ffd7304410477aeed0def84e2696f54ef32fbed687f7d770d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:08.207795Z","signature_b64":"Xv/9mU0dIWRNgLXFvpntPlIgU1gu5oTqn1izA+EzJc3DTbqErOx0btlUiCkjCUClEGmvRafJ8X1FwCSl32jODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"606ab95d5522008ffd7304410477aeed0def84e2696f54ef32fbed687f7d770d","last_reissued_at":"2026-05-18T03:31:08.207395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:08.207395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2749","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":"2026-05-18T03:31:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkiQH5CKY1CXIkhU5A9ONPaT1t3LBlZcLIhBKwF33wzDyw5XRmM7ajbkJ6mrkE7cBzdtofkUZqqoPbj6IXBSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:19:53.256909Z"},"content_sha256":"ec1720fbb091709d9274367a2f3ba6b5968f7ccf9d81e0ba5a3f94d266ccca98","schema_version":"1.0","event_id":"sha256:ec1720fbb091709d9274367a2f3ba6b5968f7ccf9d81e0ba5a3f94d266ccca98"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MBVLSXKVEIAI77LTARAQI55O5U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new inequality on the Hodge number $h^{1,1}$ of algebraic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fei Yu, Jun Lu, Kang Zuo, Sheng-Li Tan","submitted_at":"2013-03-12T02:17:31Z","abstract_excerpt":"We get a new inequality on the Hodge number $h^{1,1}(S)$ of fibred algebraic complex surfaces $S$, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2749","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":"2026-05-18T03:31:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WTIc/BQ/CwcIJnPUeZlkPnmYH0YnaVEAhq/89x54PGbrXGC6D6aOi2VQ+a/vLYFEqEbzgFWt4ZPQuyhQNTQsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:19:53.257282Z"},"content_sha256":"37279ee075375499018c4259644522f87b6c6ce6e6dc75251777d4bdb4d816ef","schema_version":"1.0","event_id":"sha256:37279ee075375499018c4259644522f87b6c6ce6e6dc75251777d4bdb4d816ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBVLSXKVEIAI77LTARAQI55O5U/bundle.json","state_url":"https://pith.science/pith/MBVLSXKVEIAI77LTARAQI55O5U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBVLSXKVEIAI77LTARAQI55O5U/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":"2026-05-27T11:19:53Z","links":{"resolver":"https://pith.science/pith/MBVLSXKVEIAI77LTARAQI55O5U","bundle":"https://pith.science/pith/MBVLSXKVEIAI77LTARAQI55O5U/bundle.json","state":"https://pith.science/pith/MBVLSXKVEIAI77LTARAQI55O5U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBVLSXKVEIAI77LTARAQI55O5U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MBVLSXKVEIAI77LTARAQI55O5U","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":"8188041e81e1a52aa55acd146ae6814f3734f4d930c9080688687ba4894c564c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-12T02:17:31Z","title_canon_sha256":"1224e6b5f2f94e120341295cba470ff918fb7654840b2afd0b1d574aded8f6af"},"schema_version":"1.0","source":{"id":"1303.2749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2749","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2749v1","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2749","created_at":"2026-05-18T03:31:08Z"},{"alias_kind":"pith_short_12","alias_value":"MBVLSXKVEIAI","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"MBVLSXKVEIAI77LT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"MBVLSXKV","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:37279ee075375499018c4259644522f87b6c6ce6e6dc75251777d4bdb4d816ef","target":"graph","created_at":"2026-05-18T03:31:08Z","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 get a new inequality on the Hodge number $h^{1,1}(S)$ of fibred algebraic complex surfaces $S$, which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.","authors_text":"Fei Yu, Jun Lu, Kang Zuo, Sheng-Li Tan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-12T02:17:31Z","title":"A new inequality on the Hodge number $h^{1,1}$ of algebraic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2749","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:ec1720fbb091709d9274367a2f3ba6b5968f7ccf9d81e0ba5a3f94d266ccca98","target":"record","created_at":"2026-05-18T03:31:08Z","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":"8188041e81e1a52aa55acd146ae6814f3734f4d930c9080688687ba4894c564c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-12T02:17:31Z","title_canon_sha256":"1224e6b5f2f94e120341295cba470ff918fb7654840b2afd0b1d574aded8f6af"},"schema_version":"1.0","source":{"id":"1303.2749","kind":"arxiv","version":1}},"canonical_sha256":"606ab95d5522008ffd7304410477aeed0def84e2696f54ef32fbed687f7d770d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"606ab95d5522008ffd7304410477aeed0def84e2696f54ef32fbed687f7d770d","first_computed_at":"2026-05-18T03:31:08.207395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:08.207395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xv/9mU0dIWRNgLXFvpntPlIgU1gu5oTqn1izA+EzJc3DTbqErOx0btlUiCkjCUClEGmvRafJ8X1FwCSl32jODw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:08.207795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec1720fbb091709d9274367a2f3ba6b5968f7ccf9d81e0ba5a3f94d266ccca98","sha256:37279ee075375499018c4259644522f87b6c6ce6e6dc75251777d4bdb4d816ef"],"state_sha256":"e0d38bbab334315c63bee26c48ea23ceefb59e258f9c54e2afb8995aea0b7901"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9oRxGAFhnc5HeeAJn9RLAOgUwLSv0+aGZXAgIrG42WgV6P++OSnqQmZFxsdk2s0Wk0qXTjx1V8xd/s9QZeQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:19:53.260029Z","bundle_sha256":"7a692f1569a201d63e708bab52b1b2012fe343b88db7f93a105117186a3d7f58"}}