{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VVKC2EHGYDK3EQR3KWUQNV366R","short_pith_number":"pith:VVKC2EHG","canonical_record":{"source":{"id":"1606.00811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-02T19:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"658afcd44f9178e5bef6fac59299eaa49486d088a1dd276500508edf41d88e57","abstract_canon_sha256":"55486c6e33fc81daf0051bb2365e5a4d689d40e8a4492d429c3bdfa301c454a6"},"schema_version":"1.0"},"canonical_sha256":"ad542d10e6c0d5b2423b55a906d77ef4451d3f909da3c2587305e40846c3a915","source":{"kind":"arxiv","id":"1606.00811","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00811","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00811v1","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00811","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"pith_short_12","alias_value":"VVKC2EHGYDK3","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VVKC2EHGYDK3EQR3","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VVKC2EHG","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VVKC2EHGYDK3EQR3KWUQNV366R","target":"record","payload":{"canonical_record":{"source":{"id":"1606.00811","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-02T19:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"658afcd44f9178e5bef6fac59299eaa49486d088a1dd276500508edf41d88e57","abstract_canon_sha256":"55486c6e33fc81daf0051bb2365e5a4d689d40e8a4492d429c3bdfa301c454a6"},"schema_version":"1.0"},"canonical_sha256":"ad542d10e6c0d5b2423b55a906d77ef4451d3f909da3c2587305e40846c3a915","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:00.540637Z","signature_b64":"DdsLIPuioS5+KUKtl4ftA7Dq12/UxRUWleXTQvif10QRKLgUqfaK91lYN4oSV44hj8uXUzbMtGRGM21IPlBhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad542d10e6c0d5b2423b55a906d77ef4451d3f909da3c2587305e40846c3a915","last_reissued_at":"2026-05-18T01:13:00.540056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:00.540056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.00811","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":"2026-05-18T01:13:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q4zRB+ACURilfkDcm0j7d5PDRCR4OzAQw4WHTV5eKa7B9eaRH3QP6AJ01OUAF0PTNo5orJ1Tv3tOCcMctzoqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:15:09.883832Z"},"content_sha256":"27d478228857e400e5765060804a7bb05d31f6a7a5eac912868bc74853f78bc5","schema_version":"1.0","event_id":"sha256:27d478228857e400e5765060804a7bb05d31f6a7a5eac912868bc74853f78bc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VVKC2EHGYDK3EQR3KWUQNV366R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum and classical aspects of scalar and vector fields around black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Mengjie Wang","submitted_at":"2016-06-02T19:10:32Z","abstract_excerpt":"This thesis presents recent studies on test scalar and vector fields around black holes. It is separated in two parts according to the asymptotic properties of the spacetime under study. In the first part, we investigate scalar and Proca fields on an asymptotically flat background. For the Proca field, we obtain a complete set of equations of motion in higher dimensional spherically symmetric backgrounds. These equations are solved numerically, both to compute Hawking radiation spectra and quasi-bound states. In the former case, we carry out a precise study of the longitudinal degrees of freed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00811","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":"2026-05-18T01:13:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0XVPtinPaVfJqIyPBEnIehSK2lR/eewJRjUyDQCWG49vIQyBLnu9c//qvRub4Fyd+by9K2IRrH8/ToN8PVZ8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:15:09.884200Z"},"content_sha256":"bc0ac7b6bfbf59b8ed1ca57c0c9d186fbb82cac94e3e300eb030fde47a709c65","schema_version":"1.0","event_id":"sha256:bc0ac7b6bfbf59b8ed1ca57c0c9d186fbb82cac94e3e300eb030fde47a709c65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVKC2EHGYDK3EQR3KWUQNV366R/bundle.json","state_url":"https://pith.science/pith/VVKC2EHGYDK3EQR3KWUQNV366R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVKC2EHGYDK3EQR3KWUQNV366R/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":"2026-06-01T15:15:09Z","links":{"resolver":"https://pith.science/pith/VVKC2EHGYDK3EQR3KWUQNV366R","bundle":"https://pith.science/pith/VVKC2EHGYDK3EQR3KWUQNV366R/bundle.json","state":"https://pith.science/pith/VVKC2EHGYDK3EQR3KWUQNV366R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVKC2EHGYDK3EQR3KWUQNV366R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VVKC2EHGYDK3EQR3KWUQNV366R","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":"55486c6e33fc81daf0051bb2365e5a4d689d40e8a4492d429c3bdfa301c454a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-02T19:10:32Z","title_canon_sha256":"658afcd44f9178e5bef6fac59299eaa49486d088a1dd276500508edf41d88e57"},"schema_version":"1.0","source":{"id":"1606.00811","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00811","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00811v1","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00811","created_at":"2026-05-18T01:13:00Z"},{"alias_kind":"pith_short_12","alias_value":"VVKC2EHGYDK3","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VVKC2EHGYDK3EQR3","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VVKC2EHG","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:bc0ac7b6bfbf59b8ed1ca57c0c9d186fbb82cac94e3e300eb030fde47a709c65","target":"graph","created_at":"2026-05-18T01:13:00Z","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":"This thesis presents recent studies on test scalar and vector fields around black holes. It is separated in two parts according to the asymptotic properties of the spacetime under study. In the first part, we investigate scalar and Proca fields on an asymptotically flat background. For the Proca field, we obtain a complete set of equations of motion in higher dimensional spherically symmetric backgrounds. These equations are solved numerically, both to compute Hawking radiation spectra and quasi-bound states. In the former case, we carry out a precise study of the longitudinal degrees of freed","authors_text":"Mengjie Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-02T19:10:32Z","title":"Quantum and classical aspects of scalar and vector fields around black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00811","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":"sha256:27d478228857e400e5765060804a7bb05d31f6a7a5eac912868bc74853f78bc5","target":"record","created_at":"2026-05-18T01:13:00Z","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":"55486c6e33fc81daf0051bb2365e5a4d689d40e8a4492d429c3bdfa301c454a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-06-02T19:10:32Z","title_canon_sha256":"658afcd44f9178e5bef6fac59299eaa49486d088a1dd276500508edf41d88e57"},"schema_version":"1.0","source":{"id":"1606.00811","kind":"arxiv","version":1}},"canonical_sha256":"ad542d10e6c0d5b2423b55a906d77ef4451d3f909da3c2587305e40846c3a915","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad542d10e6c0d5b2423b55a906d77ef4451d3f909da3c2587305e40846c3a915","first_computed_at":"2026-05-18T01:13:00.540056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:00.540056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DdsLIPuioS5+KUKtl4ftA7Dq12/UxRUWleXTQvif10QRKLgUqfaK91lYN4oSV44hj8uXUzbMtGRGM21IPlBhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:00.540637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00811","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27d478228857e400e5765060804a7bb05d31f6a7a5eac912868bc74853f78bc5","sha256:bc0ac7b6bfbf59b8ed1ca57c0c9d186fbb82cac94e3e300eb030fde47a709c65"],"state_sha256":"f7b70c2d9c8d65a3876d82561fb7e362bcd6183bef551906b48267e72a2cf2e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IMJR0Qbv0CYZpRFc3Xytdaawb2qrIf6w4BOQfZqyzmbEPDRJHyi38T0sJ1NAbWFPfWrMNsLTx1h1Lck72rlaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:15:09.886203Z","bundle_sha256":"540f0845ce8ff7543d3db763e71a61e9453c6e18a34bfd2cabf8e7f1c5624bec"}}