{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:QNSBWT7VZNDZZ2QDV3CGG6JLR5","short_pith_number":"pith:QNSBWT7V","canonical_record":{"source":{"id":"2312.06878","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-11T23:03:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"83506eed186994d9ceca684ae5231af003946b3159066d5779ba69446ffaff19","abstract_canon_sha256":"6da1072d5a30fc8a98339f1d1d7d463fe1f09d1818f67b0437fdf78abec35307"},"schema_version":"1.0"},"canonical_sha256":"83641b4ff5cb479cea03aec463792b8f65a17c10f2e353c11d538d27ace52e02","source":{"kind":"arxiv","id":"2312.06878","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.06878","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"arxiv_version","alias_value":"2312.06878v3","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.06878","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"pith_short_12","alias_value":"QNSBWT7VZNDZ","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"pith_short_16","alias_value":"QNSBWT7VZNDZZ2QD","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"pith_short_8","alias_value":"QNSBWT7V","created_at":"2026-07-05T08:26:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:QNSBWT7VZNDZZ2QDV3CGG6JLR5","target":"record","payload":{"canonical_record":{"source":{"id":"2312.06878","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-11T23:03:37Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"83506eed186994d9ceca684ae5231af003946b3159066d5779ba69446ffaff19","abstract_canon_sha256":"6da1072d5a30fc8a98339f1d1d7d463fe1f09d1818f67b0437fdf78abec35307"},"schema_version":"1.0"},"canonical_sha256":"83641b4ff5cb479cea03aec463792b8f65a17c10f2e353c11d538d27ace52e02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:16.586099Z","signature_b64":"j9AmYRmYK7PWd2x+RtNmKmCUzWy96hOEHXaqwa00rBbm1ou/gI114tPjpy+UQgLqZzEaPhHDrGDCPDAB1K80Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83641b4ff5cb479cea03aec463792b8f65a17c10f2e353c11d538d27ace52e02","last_reissued_at":"2026-07-05T08:26:16.585580Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:16.585580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.06878","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:26:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOQw4FSiNJgbM+EcFCU8GRiC4KeFNGC3pqadHI6ORUHw6Fnlul2i+3VqeIv4W/2a+ACqYCWUOK8pvy79EhHGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:03:16.316429Z"},"content_sha256":"0be12df69179915c4800c22e27a81a36dfb083fd3cd244b493b4a7603e19d555","schema_version":"1.0","event_id":"sha256:0be12df69179915c4800c22e27a81a36dfb083fd3cd244b493b4a7603e19d555"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:QNSBWT7VZNDZZ2QDV3CGG6JLR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Edward Morvan, Jan Pieter van der Schaar, Mir Mehedi Faruk","submitted_at":"2023-12-11T23:03:37Z","abstract_excerpt":"We analyze null- and spacelike radial geodesics in Schwarzschild-de Sitter spacetime connecting two conjugate static sphere observers, i.e. free-falling observers at a fixed radius in between the two horizons. We explicitly determine the changes in the causal structure with respect to these natural observers as a result of the inward bending of the black hole singularity, as well as the outward bending of asymptotic infinity. Notably, the inward and outward bending changes as a function of the black hole mass, first increasing towards a maximum and then decreasing to vanish in the extreme Nari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.06878","kind":"arxiv","version":3},"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/2312.06878/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":"2026-07-05T08:26:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQ4dO9iEIbKeGY0vhwe08xas3jMUOtZGI4OO8jsYDbFPjNqVgjDAPOyadc8nt75JAD2HThAU+Z7vSM+VELdFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:03:16.316951Z"},"content_sha256":"2fecd137b0b8687ccfd5d931c07e3fd424d82206dff767812f2cab6442096b4c","schema_version":"1.0","event_id":"sha256:2fecd137b0b8687ccfd5d931c07e3fd424d82206dff767812f2cab6442096b4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5/bundle.json","state_url":"https://pith.science/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5/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":"2026-08-09T17:03:16Z","links":{"resolver":"https://pith.science/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5","bundle":"https://pith.science/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5/bundle.json","state":"https://pith.science/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNSBWT7VZNDZZ2QDV3CGG6JLR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QNSBWT7VZNDZZ2QDV3CGG6JLR5","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":"6da1072d5a30fc8a98339f1d1d7d463fe1f09d1818f67b0437fdf78abec35307","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-11T23:03:37Z","title_canon_sha256":"83506eed186994d9ceca684ae5231af003946b3159066d5779ba69446ffaff19"},"schema_version":"1.0","source":{"id":"2312.06878","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.06878","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"arxiv_version","alias_value":"2312.06878v3","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.06878","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"pith_short_12","alias_value":"QNSBWT7VZNDZ","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"pith_short_16","alias_value":"QNSBWT7VZNDZZ2QD","created_at":"2026-07-05T08:26:16Z"},{"alias_kind":"pith_short_8","alias_value":"QNSBWT7V","created_at":"2026-07-05T08:26:16Z"}],"graph_snapshots":[{"event_id":"sha256:2fecd137b0b8687ccfd5d931c07e3fd424d82206dff767812f2cab6442096b4c","target":"graph","created_at":"2026-07-05T08:26:16Z","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/2312.06878/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze null- and spacelike radial geodesics in Schwarzschild-de Sitter spacetime connecting two conjugate static sphere observers, i.e. free-falling observers at a fixed radius in between the two horizons. We explicitly determine the changes in the causal structure with respect to these natural observers as a result of the inward bending of the black hole singularity, as well as the outward bending of asymptotic infinity. Notably, the inward and outward bending changes as a function of the black hole mass, first increasing towards a maximum and then decreasing to vanish in the extreme Nari","authors_text":"Edward Morvan, Jan Pieter van der Schaar, Mir Mehedi Faruk","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-11T23:03:37Z","title":"Static sphere observers and geodesics in Schwarzschild-de Sitter spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.06878","kind":"arxiv","version":3},"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":"sha256:0be12df69179915c4800c22e27a81a36dfb083fd3cd244b493b4a7603e19d555","target":"record","created_at":"2026-07-05T08:26:16Z","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":"6da1072d5a30fc8a98339f1d1d7d463fe1f09d1818f67b0437fdf78abec35307","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-12-11T23:03:37Z","title_canon_sha256":"83506eed186994d9ceca684ae5231af003946b3159066d5779ba69446ffaff19"},"schema_version":"1.0","source":{"id":"2312.06878","kind":"arxiv","version":3}},"canonical_sha256":"83641b4ff5cb479cea03aec463792b8f65a17c10f2e353c11d538d27ace52e02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83641b4ff5cb479cea03aec463792b8f65a17c10f2e353c11d538d27ace52e02","first_computed_at":"2026-07-05T08:26:16.585580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:26:16.585580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9AmYRmYK7PWd2x+RtNmKmCUzWy96hOEHXaqwa00rBbm1ou/gI114tPjpy+UQgLqZzEaPhHDrGDCPDAB1K80Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:26:16.586099Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.06878","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0be12df69179915c4800c22e27a81a36dfb083fd3cd244b493b4a7603e19d555","sha256:2fecd137b0b8687ccfd5d931c07e3fd424d82206dff767812f2cab6442096b4c"],"state_sha256":"7d97defee07a542c275a20fc9ff1fb2d671bb7dbbed8b2879703dc761234f8d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XNvTWKcXl/ae/ly+/QsGHr+yMUqRTh/Yq225DT23giNS0c2Vf3ZB+e+uu125hDLqmJHWjeYe/aTyIcmLGqinCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:03:16.322138Z","bundle_sha256":"47634ed93f917ac42eac8f20afb8d01b069c473ba1a297c47e2c38ea6801dae5"}}