{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:A65P3KIA7PMZY4ZTMYGVERCC6P","short_pith_number":"pith:A65P3KIA","canonical_record":{"source":{"id":"2404.08830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-04-12T22:02:07Z","cross_cats_sorted":[],"title_canon_sha256":"a0a466b99aef4d0abf850a5a2c538e3eac65d03f6186ca95a2efeee78d510613","abstract_canon_sha256":"4d69c0ed8960f9f0552689c4d8566feb0731328bb41ebf8462ae43c0f385a6e1"},"schema_version":"1.0"},"canonical_sha256":"07bafda900fbd99c7333660d524442f3d5f728bd89830e62e558ee6a91d8ef5e","source":{"kind":"arxiv","id":"2404.08830","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.08830","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"2404.08830v1","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.08830","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"A65P3KIA7PMZ","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_16","alias_value":"A65P3KIA7PMZY4ZT","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_8","alias_value":"A65P3KIA","created_at":"2026-07-05T08:07:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:A65P3KIA7PMZY4ZTMYGVERCC6P","target":"record","payload":{"canonical_record":{"source":{"id":"2404.08830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-04-12T22:02:07Z","cross_cats_sorted":[],"title_canon_sha256":"a0a466b99aef4d0abf850a5a2c538e3eac65d03f6186ca95a2efeee78d510613","abstract_canon_sha256":"4d69c0ed8960f9f0552689c4d8566feb0731328bb41ebf8462ae43c0f385a6e1"},"schema_version":"1.0"},"canonical_sha256":"07bafda900fbd99c7333660d524442f3d5f728bd89830e62e558ee6a91d8ef5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:07:40.807027Z","signature_b64":"gkv36gQ6o7wSYTRa+f9G5sZ2q1IqjGvwy5O5myTluWpxccRzWpyRk4TbXlGf4wCyqslBKLaJ8WjsCNYXumjHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07bafda900fbd99c7333660d524442f3d5f728bd89830e62e558ee6a91d8ef5e","last_reissued_at":"2026-07-05T08:07:40.806614Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:07:40.806614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.08830","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":"2026-07-05T08:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xusIGFE8kxK5XGjE5qHPlI58wW+1lHi2PnVCdoY0MwxblyDKMUXcZOlA+RgwTKAGBqzP6Me2tV2KUxVFutliBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T02:54:29.305867Z"},"content_sha256":"0e292a3d04046a6d380f5929d0147cfab610cc3a0478bfd5d8c5881dce80e2b0","schema_version":"1.0","event_id":"sha256:0e292a3d04046a6d380f5929d0147cfab610cc3a0478bfd5d8c5881dce80e2b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:A65P3KIA7PMZY4ZTMYGVERCC6P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Yi Ma","submitted_at":"2024-04-12T22:02:07Z","abstract_excerpt":"This paper proposes sG-hyperbolicity as a new tool for studying hyperbolicity on complex manifolds. It demonstrates that this notion leads to a wider class of divisorially hyperbolic manifolds compared to balanced hyperbolicity. We also introduce weakly p-K\\\"ahler hyperbolic structures and pluriclosed star split hyperbolic metrics as possible new avenues for exploration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.08830","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.08830/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ULPbK6AsO0vWvi3uia9sC08hDQtw+CUbRJ6ZQr+cTZmX4WLzdqQ5MdIzv0Gw2tNhBge6QAnk5kXr3MAAbvu2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T02:54:29.306403Z"},"content_sha256":"2f105c9f9addd18fb16cd68a49e41bb98b18c99612f3b2b7e8c475da14fcc41c","schema_version":"1.0","event_id":"sha256:2f105c9f9addd18fb16cd68a49e41bb98b18c99612f3b2b7e8c475da14fcc41c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A65P3KIA7PMZY4ZTMYGVERCC6P/bundle.json","state_url":"https://pith.science/pith/A65P3KIA7PMZY4ZTMYGVERCC6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A65P3KIA7PMZY4ZTMYGVERCC6P/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":"2026-08-08T02:54:29Z","links":{"resolver":"https://pith.science/pith/A65P3KIA7PMZY4ZTMYGVERCC6P","bundle":"https://pith.science/pith/A65P3KIA7PMZY4ZTMYGVERCC6P/bundle.json","state":"https://pith.science/pith/A65P3KIA7PMZY4ZTMYGVERCC6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A65P3KIA7PMZY4ZTMYGVERCC6P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:A65P3KIA7PMZY4ZTMYGVERCC6P","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":"4d69c0ed8960f9f0552689c4d8566feb0731328bb41ebf8462ae43c0f385a6e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-04-12T22:02:07Z","title_canon_sha256":"a0a466b99aef4d0abf850a5a2c538e3eac65d03f6186ca95a2efeee78d510613"},"schema_version":"1.0","source":{"id":"2404.08830","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.08830","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"2404.08830v1","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.08830","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"A65P3KIA7PMZ","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_16","alias_value":"A65P3KIA7PMZY4ZT","created_at":"2026-07-05T08:07:40Z"},{"alias_kind":"pith_short_8","alias_value":"A65P3KIA","created_at":"2026-07-05T08:07:40Z"}],"graph_snapshots":[{"event_id":"sha256:2f105c9f9addd18fb16cd68a49e41bb98b18c99612f3b2b7e8c475da14fcc41c","target":"graph","created_at":"2026-07-05T08:07:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.08830/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes sG-hyperbolicity as a new tool for studying hyperbolicity on complex manifolds. It demonstrates that this notion leads to a wider class of divisorially hyperbolic manifolds compared to balanced hyperbolicity. We also introduce weakly p-K\\\"ahler hyperbolic structures and pluriclosed star split hyperbolic metrics as possible new avenues for exploration.","authors_text":"Yi Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-04-12T22:02:07Z","title":"Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.08830","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":"sha256:0e292a3d04046a6d380f5929d0147cfab610cc3a0478bfd5d8c5881dce80e2b0","target":"record","created_at":"2026-07-05T08:07:40Z","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":"4d69c0ed8960f9f0552689c4d8566feb0731328bb41ebf8462ae43c0f385a6e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2024-04-12T22:02:07Z","title_canon_sha256":"a0a466b99aef4d0abf850a5a2c538e3eac65d03f6186ca95a2efeee78d510613"},"schema_version":"1.0","source":{"id":"2404.08830","kind":"arxiv","version":1}},"canonical_sha256":"07bafda900fbd99c7333660d524442f3d5f728bd89830e62e558ee6a91d8ef5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07bafda900fbd99c7333660d524442f3d5f728bd89830e62e558ee6a91d8ef5e","first_computed_at":"2026-07-05T08:07:40.806614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:07:40.806614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gkv36gQ6o7wSYTRa+f9G5sZ2q1IqjGvwy5O5myTluWpxccRzWpyRk4TbXlGf4wCyqslBKLaJ8WjsCNYXumjHAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:07:40.807027Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.08830","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e292a3d04046a6d380f5929d0147cfab610cc3a0478bfd5d8c5881dce80e2b0","sha256:2f105c9f9addd18fb16cd68a49e41bb98b18c99612f3b2b7e8c475da14fcc41c"],"state_sha256":"611482a3d10fe014057163d4e306d7a56fcc00866b807456c4cfea76e065afc8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tEDQdRXv0pLdv30M7Xs0TzACuLtO1eUOL1XJYKQKvoRL0D3DqFaNrBZ3E0RKrPg50P+geGoCDXu4rce9Gn0CBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T02:54:29.311248Z","bundle_sha256":"46a25814e4f3c27ab1d504db1b9d1048aed4dda7937c3a962c05ab57de918750"}}