{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y53DJQRNZLHKGZ7AZSFDDLBLCF","short_pith_number":"pith:Y53DJQRN","canonical_record":{"source":{"id":"1105.2913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-14T20:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"7e7100d8cb416b7e2a4216b26eb0cacf4487f55328b946d1fca84652ac6edc57","abstract_canon_sha256":"41e73166ce04c9f07c440819bfd3db05567dda3d00f52b36005efecb8282e344"},"schema_version":"1.0"},"canonical_sha256":"c77634c22dcacea367e0cc8a31ac2b117911f5e3ff11e00187f7bfee72b14ce9","source":{"kind":"arxiv","id":"1105.2913","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2913","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2913v2","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2913","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y53DJQRNZLHK","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y53DJQRNZLHKGZ7A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y53DJQRN","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y53DJQRNZLHKGZ7AZSFDDLBLCF","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-14T20:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"7e7100d8cb416b7e2a4216b26eb0cacf4487f55328b946d1fca84652ac6edc57","abstract_canon_sha256":"41e73166ce04c9f07c440819bfd3db05567dda3d00f52b36005efecb8282e344"},"schema_version":"1.0"},"canonical_sha256":"c77634c22dcacea367e0cc8a31ac2b117911f5e3ff11e00187f7bfee72b14ce9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:00.410625Z","signature_b64":"bBD1AIJeyvVQGOiAtiQbgP8Z/fMKcI093BIm5V20dsihEctk5JGwUMhU4cGN8VFtlihBKf3IJ9YQCrU4KWSRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c77634c22dcacea367e0cc8a31ac2b117911f5e3ff11e00187f7bfee72b14ce9","last_reissued_at":"2026-05-18T04:22:00.410202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:00.410202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2913","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":"2026-05-18T04:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLN4jyp5TfhB5ohy1W1CpfsutCJTasMyARySYWDVPnszqK47WRnC9lLovbNBndaVWfgDAkQYqGtVGBcD1S1KBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:39:27.733748Z"},"content_sha256":"68c6993d9c71aee454a659e9a50bc9a056195a8d679b05a5911989c0e71d1380","schema_version":"1.0","event_id":"sha256:68c6993d9c71aee454a659e9a50bc9a056195a8d679b05a5911989c0e71d1380"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y53DJQRNZLHKGZ7AZSFDDLBLCF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on harmonic forms and the boundary of the K\\\"ahler cone","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Albert Chau, Luen-fai Tam","submitted_at":"2011-05-14T20:40:50Z","abstract_excerpt":"Motivated by the results of Wu-Yau-Zheng \\cite{WuYauZheng}, we show that under a certain curvature assumption the harmonic representative of any boundary class of the K\\\"ahler cone is nonnegative."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2913","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":"2026-05-18T04:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uSvgJnDVtDEkvlRHWpESb+3orEns0Fl+mGCOp4TzBIzBcixgLkq1WB75LonMSwoxyjs6PQ1jQ50ByadXG5ZHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:39:27.734423Z"},"content_sha256":"9096a60f210849f9052094dcf212f45854da1e5f18ee6febbb19d26078e08d97","schema_version":"1.0","event_id":"sha256:9096a60f210849f9052094dcf212f45854da1e5f18ee6febbb19d26078e08d97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF/bundle.json","state_url":"https://pith.science/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF/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":"2026-06-06T18:39:27Z","links":{"resolver":"https://pith.science/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF","bundle":"https://pith.science/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF/bundle.json","state":"https://pith.science/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y53DJQRNZLHKGZ7AZSFDDLBLCF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y53DJQRNZLHKGZ7AZSFDDLBLCF","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":"41e73166ce04c9f07c440819bfd3db05567dda3d00f52b36005efecb8282e344","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-14T20:40:50Z","title_canon_sha256":"7e7100d8cb416b7e2a4216b26eb0cacf4487f55328b946d1fca84652ac6edc57"},"schema_version":"1.0","source":{"id":"1105.2913","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2913","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2913v2","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2913","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y53DJQRNZLHK","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y53DJQRNZLHKGZ7A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y53DJQRN","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:9096a60f210849f9052094dcf212f45854da1e5f18ee6febbb19d26078e08d97","target":"graph","created_at":"2026-05-18T04:22:00Z","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":"Motivated by the results of Wu-Yau-Zheng \\cite{WuYauZheng}, we show that under a certain curvature assumption the harmonic representative of any boundary class of the K\\\"ahler cone is nonnegative.","authors_text":"Albert Chau, Luen-fai Tam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-14T20:40:50Z","title":"A note on harmonic forms and the boundary of the K\\\"ahler cone"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2913","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":"sha256:68c6993d9c71aee454a659e9a50bc9a056195a8d679b05a5911989c0e71d1380","target":"record","created_at":"2026-05-18T04:22:00Z","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":"41e73166ce04c9f07c440819bfd3db05567dda3d00f52b36005efecb8282e344","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-14T20:40:50Z","title_canon_sha256":"7e7100d8cb416b7e2a4216b26eb0cacf4487f55328b946d1fca84652ac6edc57"},"schema_version":"1.0","source":{"id":"1105.2913","kind":"arxiv","version":2}},"canonical_sha256":"c77634c22dcacea367e0cc8a31ac2b117911f5e3ff11e00187f7bfee72b14ce9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c77634c22dcacea367e0cc8a31ac2b117911f5e3ff11e00187f7bfee72b14ce9","first_computed_at":"2026-05-18T04:22:00.410202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:00.410202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bBD1AIJeyvVQGOiAtiQbgP8Z/fMKcI093BIm5V20dsihEctk5JGwUMhU4cGN8VFtlihBKf3IJ9YQCrU4KWSRBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:00.410625Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2913","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68c6993d9c71aee454a659e9a50bc9a056195a8d679b05a5911989c0e71d1380","sha256:9096a60f210849f9052094dcf212f45854da1e5f18ee6febbb19d26078e08d97"],"state_sha256":"b697fdf4a0b03f9bc45bdd80d271ef7ac7878cd114cfef26774be1fea683c0d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FleVSYupFxJEsEv/oqiMS+RZgfJVO1mdACmN6V7NfHf9VAAIK+Mt7hgZRqgf2RKEDugmM4oH2wBzMxWTulNuDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:39:27.737601Z","bundle_sha256":"59820b132b60d84c303c5b5be16d62e0bc1487cab6fdd5e983b5b55c4dadc5c4"}}