{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:EQF37L2VB5I7TQXTUJLBECCZKO","short_pith_number":"pith:EQF37L2V","canonical_record":{"source":{"id":"2412.20037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-28T06:04:32Z","cross_cats_sorted":[],"title_canon_sha256":"807f5455e514b17fcb2eaae95144bf050a097b3c08875136e64a4712a8087d01","abstract_canon_sha256":"748decf96518a1ec8545aa9eb1610c13fc5d0caa5fa99550a20a58be3a87dc4d"},"schema_version":"1.0"},"canonical_sha256":"240bbfaf550f51f9c2f3a256120859539bfddc1eaa62ad7ce974107970d691a4","source":{"kind":"arxiv","id":"2412.20037","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.20037","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"arxiv_version","alias_value":"2412.20037v1","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20037","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"pith_short_12","alias_value":"EQF37L2VB5I7","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"pith_short_16","alias_value":"EQF37L2VB5I7TQXT","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"pith_short_8","alias_value":"EQF37L2V","created_at":"2026-07-05T09:54:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:EQF37L2VB5I7TQXTUJLBECCZKO","target":"record","payload":{"canonical_record":{"source":{"id":"2412.20037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-28T06:04:32Z","cross_cats_sorted":[],"title_canon_sha256":"807f5455e514b17fcb2eaae95144bf050a097b3c08875136e64a4712a8087d01","abstract_canon_sha256":"748decf96518a1ec8545aa9eb1610c13fc5d0caa5fa99550a20a58be3a87dc4d"},"schema_version":"1.0"},"canonical_sha256":"240bbfaf550f51f9c2f3a256120859539bfddc1eaa62ad7ce974107970d691a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:53.434911Z","signature_b64":"toZV7mzYU1WpY9n6jnM069zsc9zHc781oUDzHQCZwo/qQii+ItkZx7h5iwPhlM0/LRGEJ+e0ekJMWAydhqKHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"240bbfaf550f51f9c2f3a256120859539bfddc1eaa62ad7ce974107970d691a4","last_reissued_at":"2026-07-05T09:54:53.434437Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:53.434437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.20037","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":"2026-07-05T09:54:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P12rgAmwQoU6+6B2Jwsf7cEE2OqtUIfz3Xq6e+J7ZBVh5it0ZPBAlta8avnuaWm1MUGkKWdw3lBAN35zNYEDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:21:07.610831Z"},"content_sha256":"b2adb36f21278a669d4823a54a4e8d8235f4d41df593f41932fe63a0db0cb311","schema_version":"1.0","event_id":"sha256:b2adb36f21278a669d4823a54a4e8d8235f4d41df593f41932fe63a0db0cb311"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:EQF37L2VB5I7TQXTUJLBECCZKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasinormal modes and shadow of Schwarzschild black holes embedded in a Dehnen type dark matter halo exhibiting string cloud","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ahmad Al-Badawi, Sanjar Shaymatov","submitted_at":"2024-12-28T06:04:32Z","abstract_excerpt":"In this paper, we consider a static spherically symmetric black hole (BH) embedded in a Dehnen-(1,4,0) type dark matter (DM) halo in the presence of a cloud string. We examine and present data on how the core density of the DM halo parameter and the cloud string parameter affect BH attributes such as quasinormal modes (QNMs) and shadow cast. To do this, we first look into the effective potential of perturbation equations for three types of perturbation fields with different spins: massless scalar field, electromagnetic field, and gravitational field. Then, using the 6th order WKB approximation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20037","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/2412.20037/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":"2026-07-05T09:54:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ix9mCJARwbBWn09zxlh7aNDCZi0Alt+b8A0bHG5gKJN6cirztTk6TwEqfWawbZnPlLzdfOZ4a88ZCvuQ4hm9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T07:21:07.611908Z"},"content_sha256":"a20f60f4b272a1140043acfd378d2bdb7a3789c3afbe15e3c2a8f9d4289357b0","schema_version":"1.0","event_id":"sha256:a20f60f4b272a1140043acfd378d2bdb7a3789c3afbe15e3c2a8f9d4289357b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQF37L2VB5I7TQXTUJLBECCZKO/bundle.json","state_url":"https://pith.science/pith/EQF37L2VB5I7TQXTUJLBECCZKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQF37L2VB5I7TQXTUJLBECCZKO/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":"2026-08-09T07:21:07Z","links":{"resolver":"https://pith.science/pith/EQF37L2VB5I7TQXTUJLBECCZKO","bundle":"https://pith.science/pith/EQF37L2VB5I7TQXTUJLBECCZKO/bundle.json","state":"https://pith.science/pith/EQF37L2VB5I7TQXTUJLBECCZKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQF37L2VB5I7TQXTUJLBECCZKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EQF37L2VB5I7TQXTUJLBECCZKO","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":"748decf96518a1ec8545aa9eb1610c13fc5d0caa5fa99550a20a58be3a87dc4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-28T06:04:32Z","title_canon_sha256":"807f5455e514b17fcb2eaae95144bf050a097b3c08875136e64a4712a8087d01"},"schema_version":"1.0","source":{"id":"2412.20037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.20037","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"arxiv_version","alias_value":"2412.20037v1","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.20037","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"pith_short_12","alias_value":"EQF37L2VB5I7","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"pith_short_16","alias_value":"EQF37L2VB5I7TQXT","created_at":"2026-07-05T09:54:53Z"},{"alias_kind":"pith_short_8","alias_value":"EQF37L2V","created_at":"2026-07-05T09:54:53Z"}],"graph_snapshots":[{"event_id":"sha256:a20f60f4b272a1140043acfd378d2bdb7a3789c3afbe15e3c2a8f9d4289357b0","target":"graph","created_at":"2026-07-05T09:54:53Z","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/2412.20037/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider a static spherically symmetric black hole (BH) embedded in a Dehnen-(1,4,0) type dark matter (DM) halo in the presence of a cloud string. We examine and present data on how the core density of the DM halo parameter and the cloud string parameter affect BH attributes such as quasinormal modes (QNMs) and shadow cast. To do this, we first look into the effective potential of perturbation equations for three types of perturbation fields with different spins: massless scalar field, electromagnetic field, and gravitational field. Then, using the 6th order WKB approximation","authors_text":"Ahmad Al-Badawi, Sanjar Shaymatov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-28T06:04:32Z","title":"Quasinormal modes and shadow of Schwarzschild black holes embedded in a Dehnen type dark matter halo exhibiting string cloud"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.20037","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:b2adb36f21278a669d4823a54a4e8d8235f4d41df593f41932fe63a0db0cb311","target":"record","created_at":"2026-07-05T09:54:53Z","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":"748decf96518a1ec8545aa9eb1610c13fc5d0caa5fa99550a20a58be3a87dc4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-28T06:04:32Z","title_canon_sha256":"807f5455e514b17fcb2eaae95144bf050a097b3c08875136e64a4712a8087d01"},"schema_version":"1.0","source":{"id":"2412.20037","kind":"arxiv","version":1}},"canonical_sha256":"240bbfaf550f51f9c2f3a256120859539bfddc1eaa62ad7ce974107970d691a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"240bbfaf550f51f9c2f3a256120859539bfddc1eaa62ad7ce974107970d691a4","first_computed_at":"2026-07-05T09:54:53.434437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:54:53.434437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"toZV7mzYU1WpY9n6jnM069zsc9zHc781oUDzHQCZwo/qQii+ItkZx7h5iwPhlM0/LRGEJ+e0ekJMWAydhqKHBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:54:53.434911Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.20037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2adb36f21278a669d4823a54a4e8d8235f4d41df593f41932fe63a0db0cb311","sha256:a20f60f4b272a1140043acfd378d2bdb7a3789c3afbe15e3c2a8f9d4289357b0"],"state_sha256":"d369e65f28058a704af4a45802d8ee0af46f5b48484426a5aa9c00d75c6522d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dflCGoURzGYYUcOQJqEpQa9q2/Ge1ppwTd7105ZbMP6Kd/AkHudy53MwYaqMSZWo3izDLBfNv1jg/UYlg+s3DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T07:21:07.618028Z","bundle_sha256":"a938b390ce1a7974475bf99a6916c1ab8e9d1e86877c8ce3253687f6af0af5aa"}}