{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TXNOIMGPDOQ7VPUJNPXRMEA4N2","short_pith_number":"pith:TXNOIMGP","canonical_record":{"source":{"id":"2407.05321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-07T10:17:25Z","cross_cats_sorted":[],"title_canon_sha256":"ede8416500bf0ec0e77b113587638430d72dadd03b85696c464c0812fc475bc5","abstract_canon_sha256":"58895c504cc0d8c42dd356d9f7e2dc1dbb752368991ca9cb5ca23895ad4916e2"},"schema_version":"1.0"},"canonical_sha256":"9ddae430cf1ba1fabe896bef16101c6eab4697c4c2409c09530a7b0b3364be05","source":{"kind":"arxiv","id":"2407.05321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.05321","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"arxiv_version","alias_value":"2407.05321v1","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.05321","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"pith_short_12","alias_value":"TXNOIMGPDOQ7","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"pith_short_16","alias_value":"TXNOIMGPDOQ7VPUJ","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"pith_short_8","alias_value":"TXNOIMGP","created_at":"2026-07-05T08:41:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TXNOIMGPDOQ7VPUJNPXRMEA4N2","target":"record","payload":{"canonical_record":{"source":{"id":"2407.05321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-07T10:17:25Z","cross_cats_sorted":[],"title_canon_sha256":"ede8416500bf0ec0e77b113587638430d72dadd03b85696c464c0812fc475bc5","abstract_canon_sha256":"58895c504cc0d8c42dd356d9f7e2dc1dbb752368991ca9cb5ca23895ad4916e2"},"schema_version":"1.0"},"canonical_sha256":"9ddae430cf1ba1fabe896bef16101c6eab4697c4c2409c09530a7b0b3364be05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:41:11.332051Z","signature_b64":"yG+KYzqD03TMPUbHlQsJ06kFhwuHt/w30Oscg/omj/cdqIu8DctoY6+TAzPEXPA+ExkRlivQRng3xIEy4lc7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ddae430cf1ba1fabe896bef16101c6eab4697c4c2409c09530a7b0b3364be05","last_reissued_at":"2026-07-05T08:41:11.331628Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:41:11.331628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.05321","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":"2026-07-05T08:41:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T0bpW3n7HWrph9XpTz7aDt77nbJXBkEGsiHsSsAXpHVorEcKJi4y339F0wL/Fa9Xv7exZ114gJyCgawCdnUwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:06:58.782508Z"},"content_sha256":"921d2e05a564420b8c053a8ecf18dd102e5567ae81dddcf7814eab826518ae38","schema_version":"1.0","event_id":"sha256:921d2e05a564420b8c053a8ecf18dd102e5567ae81dddcf7814eab826518ae38"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TXNOIMGPDOQ7VPUJNPXRMEA4N2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering effects of bumblebee gravity in metric affine formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. A. Ara\\'ujo Filho, Caio F. B. Macedo, H.Hassanabadi, N. Heidari","submitted_at":"2024-07-07T10:17:25Z","abstract_excerpt":"In this work, we explore a Schwarzschild-like black hole within the framework of metric--affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we introduce a newly defined time coordinate related to a stationary asymptotically flat spacetime. We also analyze the scattering effects and numerically calculate and comprehensively examine the partial and total absorption cross sections. At the high--frequency approximation, we find that the absorption cross section tends to the geodesic capture cross section"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.05321","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/2407.05321/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":"2026-07-05T08:41:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otaQPqCN//0xu+Lre2BZBGb7yn1y351mtjcu5BE6wLzhPIfnYJ1TDCm7YNM2CAkZr3qGv6t5c3vOugVI9dlQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T16:06:58.783719Z"},"content_sha256":"2013b65e665a1c3ef5e0000603f0b8cd47e3b0f1fe6a28253d699229cef631fc","schema_version":"1.0","event_id":"sha256:2013b65e665a1c3ef5e0000603f0b8cd47e3b0f1fe6a28253d699229cef631fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2/bundle.json","state_url":"https://pith.science/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2/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":"2026-08-04T16:06:58Z","links":{"resolver":"https://pith.science/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2","bundle":"https://pith.science/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2/bundle.json","state":"https://pith.science/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXNOIMGPDOQ7VPUJNPXRMEA4N2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TXNOIMGPDOQ7VPUJNPXRMEA4N2","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":"58895c504cc0d8c42dd356d9f7e2dc1dbb752368991ca9cb5ca23895ad4916e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-07T10:17:25Z","title_canon_sha256":"ede8416500bf0ec0e77b113587638430d72dadd03b85696c464c0812fc475bc5"},"schema_version":"1.0","source":{"id":"2407.05321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.05321","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"arxiv_version","alias_value":"2407.05321v1","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.05321","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"pith_short_12","alias_value":"TXNOIMGPDOQ7","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"pith_short_16","alias_value":"TXNOIMGPDOQ7VPUJ","created_at":"2026-07-05T08:41:11Z"},{"alias_kind":"pith_short_8","alias_value":"TXNOIMGP","created_at":"2026-07-05T08:41:11Z"}],"graph_snapshots":[{"event_id":"sha256:2013b65e665a1c3ef5e0000603f0b8cd47e3b0f1fe6a28253d699229cef631fc","target":"graph","created_at":"2026-07-05T08:41:11Z","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/2407.05321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we explore a Schwarzschild-like black hole within the framework of metric--affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we introduce a newly defined time coordinate related to a stationary asymptotically flat spacetime. We also analyze the scattering effects and numerically calculate and comprehensively examine the partial and total absorption cross sections. At the high--frequency approximation, we find that the absorption cross section tends to the geodesic capture cross section","authors_text":"A. A. Ara\\'ujo Filho, Caio F. B. Macedo, H.Hassanabadi, N. Heidari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-07T10:17:25Z","title":"Scattering effects of bumblebee gravity in metric affine formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.05321","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":"sha256:921d2e05a564420b8c053a8ecf18dd102e5567ae81dddcf7814eab826518ae38","target":"record","created_at":"2026-07-05T08:41:11Z","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":"58895c504cc0d8c42dd356d9f7e2dc1dbb752368991ca9cb5ca23895ad4916e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-07T10:17:25Z","title_canon_sha256":"ede8416500bf0ec0e77b113587638430d72dadd03b85696c464c0812fc475bc5"},"schema_version":"1.0","source":{"id":"2407.05321","kind":"arxiv","version":1}},"canonical_sha256":"9ddae430cf1ba1fabe896bef16101c6eab4697c4c2409c09530a7b0b3364be05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ddae430cf1ba1fabe896bef16101c6eab4697c4c2409c09530a7b0b3364be05","first_computed_at":"2026-07-05T08:41:11.331628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:41:11.331628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yG+KYzqD03TMPUbHlQsJ06kFhwuHt/w30Oscg/omj/cdqIu8DctoY6+TAzPEXPA+ExkRlivQRng3xIEy4lc7AA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:41:11.332051Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.05321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:921d2e05a564420b8c053a8ecf18dd102e5567ae81dddcf7814eab826518ae38","sha256:2013b65e665a1c3ef5e0000603f0b8cd47e3b0f1fe6a28253d699229cef631fc"],"state_sha256":"a0a8de0282d8438d3f1b6be37cf2f5ca30469c7c1f2211eb878bed5a4ecb7f4e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/0HpS0uJM8ObslhvpfhQeAoGbvrD95NqVhkTsQDiv7tWufSumzwQjgJ1WL3kZZy1d+8Vv/MxcmtISjlrgCusBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T16:06:58.794444Z","bundle_sha256":"f2a65a12393db31f64f0c37c0d2363a149e4d1f9f3ab0402eaa87a2bdbf58fdc"}}