{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XA3K2F26CEXSSO4VNFULOMDEMN","short_pith_number":"pith:XA3K2F26","canonical_record":{"source":{"id":"2502.04782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-07T09:34:29Z","cross_cats_sorted":[],"title_canon_sha256":"dc22f7a46545bd2ea2dbc6739979f27368c30dd628560d739b297a509681b5df","abstract_canon_sha256":"6ad14c4816c0df823128d10cf0a5f87a0623a2da0d6e1fa35146e2fede070d2a"},"schema_version":"1.0"},"canonical_sha256":"b836ad175e112f293b956968b73064637cea084d0075269d01a3a14b1d42354d","source":{"kind":"arxiv","id":"2502.04782","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04782","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04782v2","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04782","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"pith_short_12","alias_value":"XA3K2F26CEXS","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"pith_short_16","alias_value":"XA3K2F26CEXSSO4V","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"pith_short_8","alias_value":"XA3K2F26","created_at":"2026-07-05T10:45:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XA3K2F26CEXSSO4VNFULOMDEMN","target":"record","payload":{"canonical_record":{"source":{"id":"2502.04782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-07T09:34:29Z","cross_cats_sorted":[],"title_canon_sha256":"dc22f7a46545bd2ea2dbc6739979f27368c30dd628560d739b297a509681b5df","abstract_canon_sha256":"6ad14c4816c0df823128d10cf0a5f87a0623a2da0d6e1fa35146e2fede070d2a"},"schema_version":"1.0"},"canonical_sha256":"b836ad175e112f293b956968b73064637cea084d0075269d01a3a14b1d42354d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:45:17.012486Z","signature_b64":"K4NeKqI077ox32/AnzuEfw6a8NwbE8FBxbImp9YYueW+KDyEwctdGbIlnG+u6ZvrIXmPM3x2C6OirJy6IFIVBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b836ad175e112f293b956968b73064637cea084d0075269d01a3a14b1d42354d","last_reissued_at":"2026-07-05T10:45:17.011973Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:45:17.011973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.04782","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":"2026-07-05T10:45:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACXSabcIGid8VESY5MkBYN7WbCBIl5gF8Qp3Ck6ptVEF2/KzIcLlGG+HoNIJ8dQ9RllKZlf9CaYOr/B0/0ssAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:37:43.095863Z"},"content_sha256":"f88ac9e2282694c5133cf6d0255e62435bcfec06f3e6fbfb7f57f8831bcfaa1d","schema_version":"1.0","event_id":"sha256:f88ac9e2282694c5133cf6d0255e62435bcfec06f3e6fbfb7f57f8831bcfaa1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XA3K2F26CEXSSO4VNFULOMDEMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Guoxiong Zhu, Hao Hu","submitted_at":"2025-02-07T09:34:29Z","abstract_excerpt":"This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular components, the scalar field perturbations outside the black hole are reduced to a purely radial main equation. The quasinormal modes (QNMs) of the system are then determined via the WKB approximation in the frequency domain, while the dynamic evolution of the system is examined in the time domain using finite difference methods. The eigenfrequencies of the wa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04782","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.04782/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":"2026-07-05T10:45:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q0ucYfc442Q2Sp8YifPuvbuYzrydkJfA3sD3cRNC8CHZHkm22znPf4yVfnjxDV1rQ9xH2eFWa3apb2i+mE5YBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T08:37:43.096699Z"},"content_sha256":"6296ef544c89836b4f3c8579dd88c49624525b642331db18e7c44ff1a0c87188","schema_version":"1.0","event_id":"sha256:6296ef544c89836b4f3c8579dd88c49624525b642331db18e7c44ff1a0c87188"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XA3K2F26CEXSSO4VNFULOMDEMN/bundle.json","state_url":"https://pith.science/pith/XA3K2F26CEXSSO4VNFULOMDEMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XA3K2F26CEXSSO4VNFULOMDEMN/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":"2026-08-09T08:37:43Z","links":{"resolver":"https://pith.science/pith/XA3K2F26CEXSSO4VNFULOMDEMN","bundle":"https://pith.science/pith/XA3K2F26CEXSSO4VNFULOMDEMN/bundle.json","state":"https://pith.science/pith/XA3K2F26CEXSSO4VNFULOMDEMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XA3K2F26CEXSSO4VNFULOMDEMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XA3K2F26CEXSSO4VNFULOMDEMN","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":"6ad14c4816c0df823128d10cf0a5f87a0623a2da0d6e1fa35146e2fede070d2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-07T09:34:29Z","title_canon_sha256":"dc22f7a46545bd2ea2dbc6739979f27368c30dd628560d739b297a509681b5df"},"schema_version":"1.0","source":{"id":"2502.04782","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04782","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04782v2","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04782","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"pith_short_12","alias_value":"XA3K2F26CEXS","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"pith_short_16","alias_value":"XA3K2F26CEXSSO4V","created_at":"2026-07-05T10:45:17Z"},{"alias_kind":"pith_short_8","alias_value":"XA3K2F26","created_at":"2026-07-05T10:45:17Z"}],"graph_snapshots":[{"event_id":"sha256:6296ef544c89836b4f3c8579dd88c49624525b642331db18e7c44ff1a0c87188","target":"graph","created_at":"2026-07-05T10:45:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.04782/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular components, the scalar field perturbations outside the black hole are reduced to a purely radial main equation. The quasinormal modes (QNMs) of the system are then determined via the WKB approximation in the frequency domain, while the dynamic evolution of the system is examined in the time domain using finite difference methods. The eigenfrequencies of the wa","authors_text":"Guoxiong Zhu, Hao Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-07T09:34:29Z","title":"Quasinormal Modes and Dynamical Evolution of Scalar Fields in the Einstein-Bumblebee Theory with a Cosmological Constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04782","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:f88ac9e2282694c5133cf6d0255e62435bcfec06f3e6fbfb7f57f8831bcfaa1d","target":"record","created_at":"2026-07-05T10:45:17Z","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":"6ad14c4816c0df823128d10cf0a5f87a0623a2da0d6e1fa35146e2fede070d2a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-02-07T09:34:29Z","title_canon_sha256":"dc22f7a46545bd2ea2dbc6739979f27368c30dd628560d739b297a509681b5df"},"schema_version":"1.0","source":{"id":"2502.04782","kind":"arxiv","version":2}},"canonical_sha256":"b836ad175e112f293b956968b73064637cea084d0075269d01a3a14b1d42354d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b836ad175e112f293b956968b73064637cea084d0075269d01a3a14b1d42354d","first_computed_at":"2026-07-05T10:45:17.011973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:45:17.011973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K4NeKqI077ox32/AnzuEfw6a8NwbE8FBxbImp9YYueW+KDyEwctdGbIlnG+u6ZvrIXmPM3x2C6OirJy6IFIVBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:45:17.012486Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.04782","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f88ac9e2282694c5133cf6d0255e62435bcfec06f3e6fbfb7f57f8831bcfaa1d","sha256:6296ef544c89836b4f3c8579dd88c49624525b642331db18e7c44ff1a0c87188"],"state_sha256":"0a56a09365128c9f4cc436aaa5fae5372b5de73941655ea2165a4a660bd03e3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bit8RuhDHOtI+KYjSTyuX8/Ua5a1u284Bxa11Gbuo/53WfFCZB8xIUhJJL6w8YiRjblf71BAwGq2Gg2A9rKCBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T08:37:43.102287Z","bundle_sha256":"3066d78d39b2d13b8734d36b6d7fe7d2904af7e5a24ca7efa5120264d8e26375"}}