{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:FC6VAYS4IX6I7ZS7UOMNF3EBFX","short_pith_number":"pith:FC6VAYS4","canonical_record":{"source":{"id":"2605.25625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-25T09:28:15Z","cross_cats_sorted":[],"title_canon_sha256":"4ac4d9fba1c1715006da713a63ae16ae3f28a0576befc3079711423f28594eb0","abstract_canon_sha256":"2aeeca432c216a8ffbd3239559a554fbce53f107795f28ff292a492e36924be1"},"schema_version":"1.0"},"canonical_sha256":"28bd50625c45fc8fe65fa398d2ec812dd81e39a6443793a4746855295b669bc8","source":{"kind":"arxiv","id":"2605.25625","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25625","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25625v1","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25625","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"FC6VAYS4IX6I","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"FC6VAYS4IX6I7ZS7","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"FC6VAYS4","created_at":"2026-05-26T02:04:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:FC6VAYS4IX6I7ZS7UOMNF3EBFX","target":"record","payload":{"canonical_record":{"source":{"id":"2605.25625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-25T09:28:15Z","cross_cats_sorted":[],"title_canon_sha256":"4ac4d9fba1c1715006da713a63ae16ae3f28a0576befc3079711423f28594eb0","abstract_canon_sha256":"2aeeca432c216a8ffbd3239559a554fbce53f107795f28ff292a492e36924be1"},"schema_version":"1.0"},"canonical_sha256":"28bd50625c45fc8fe65fa398d2ec812dd81e39a6443793a4746855295b669bc8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:47.085728Z","signature_b64":"8P74ffcma6JWGxuKe+dj6u9NS+RCAsp77aSvOgPJSm3SY/yqo1Wq5f7AFLgDCKG276VEu9Ix65dvFJyRB4O4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28bd50625c45fc8fe65fa398d2ec812dd81e39a6443793a4746855295b669bc8","last_reissued_at":"2026-05-26T02:04:47.084887Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:47.084887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.25625","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":"2026-05-26T02:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1B6APxuKGkCKWUfgnnN3UtXva4t2fajyHwNo2TRVNij39rL+1EbJYPizcqyUjy6XcpA1qt9pblvLqZZwwxLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:12:57.308928Z"},"content_sha256":"1f77a582a84f136015fbab195ef7ca46d139a00bf0ed3b7df20a7257648235e6","schema_version":"1.0","event_id":"sha256:1f77a582a84f136015fbab195ef7ca46d139a00bf0ed3b7df20a7257648235e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:FC6VAYS4IX6I7ZS7UOMNF3EBFX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Periodic orbits and gravitational waveforms around a Schwarzschild black hole with a cloud of strings embedded in perfect fluid dark matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Qi-Qi Liang, Zhenglong Ban, Zheng-Wen Long, Zhi Li, Ziqiang Cai","submitted_at":"2026-05-25T09:28:15Z","abstract_excerpt":"In this study, we explore the dynamics of particle orbits and their corresponding gravitational wave signatures in the vicinity of a Schwarzschild black hole (BH) surrounded by a cloud of strings and embedded in a perfect fluid dark matter medium. The model is characterized by two parameters: $a$, associated with the string cloud, and $\\alpha$, representing the dark matter distribution. We systematically analyze how the marginally bound orbit (MBO) and the innermost stable circular orbit (ISCO) depend on these parameters. Our findings reveal that while both the orbital radius and angular momen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25625","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/2605.25625/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":"2026-05-26T02:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5kNOaBorbV/qVk6kYK/iBxYD6HkBbGmtcaTJKv+9hy78KIN9cvadpZwMpTC4BN1FcoN+pm2zaOJEvn4X0rCaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:12:57.309310Z"},"content_sha256":"6fcf82ab963d1951b478f6be4cdfc22f8d5042af33c1910d8fd61a921bbb19d3","schema_version":"1.0","event_id":"sha256:6fcf82ab963d1951b478f6be4cdfc22f8d5042af33c1910d8fd61a921bbb19d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX/bundle.json","state_url":"https://pith.science/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX/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":"2026-05-31T03:12:57Z","links":{"resolver":"https://pith.science/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX","bundle":"https://pith.science/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX/bundle.json","state":"https://pith.science/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FC6VAYS4IX6I7ZS7UOMNF3EBFX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FC6VAYS4IX6I7ZS7UOMNF3EBFX","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":"2aeeca432c216a8ffbd3239559a554fbce53f107795f28ff292a492e36924be1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-25T09:28:15Z","title_canon_sha256":"4ac4d9fba1c1715006da713a63ae16ae3f28a0576befc3079711423f28594eb0"},"schema_version":"1.0","source":{"id":"2605.25625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25625","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25625v1","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25625","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"FC6VAYS4IX6I","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"pith_short_16","alias_value":"FC6VAYS4IX6I7ZS7","created_at":"2026-05-26T02:04:47Z"},{"alias_kind":"pith_short_8","alias_value":"FC6VAYS4","created_at":"2026-05-26T02:04:47Z"}],"graph_snapshots":[{"event_id":"sha256:6fcf82ab963d1951b478f6be4cdfc22f8d5042af33c1910d8fd61a921bbb19d3","target":"graph","created_at":"2026-05-26T02:04:47Z","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/2605.25625/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this study, we explore the dynamics of particle orbits and their corresponding gravitational wave signatures in the vicinity of a Schwarzschild black hole (BH) surrounded by a cloud of strings and embedded in a perfect fluid dark matter medium. The model is characterized by two parameters: $a$, associated with the string cloud, and $\\alpha$, representing the dark matter distribution. We systematically analyze how the marginally bound orbit (MBO) and the innermost stable circular orbit (ISCO) depend on these parameters. Our findings reveal that while both the orbital radius and angular momen","authors_text":"Qi-Qi Liang, Zhenglong Ban, Zheng-Wen Long, Zhi Li, Ziqiang Cai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-25T09:28:15Z","title":"Periodic orbits and gravitational waveforms around a Schwarzschild black hole with a cloud of strings embedded in perfect fluid dark matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25625","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":"sha256:1f77a582a84f136015fbab195ef7ca46d139a00bf0ed3b7df20a7257648235e6","target":"record","created_at":"2026-05-26T02:04:47Z","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":"2aeeca432c216a8ffbd3239559a554fbce53f107795f28ff292a492e36924be1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-25T09:28:15Z","title_canon_sha256":"4ac4d9fba1c1715006da713a63ae16ae3f28a0576befc3079711423f28594eb0"},"schema_version":"1.0","source":{"id":"2605.25625","kind":"arxiv","version":1}},"canonical_sha256":"28bd50625c45fc8fe65fa398d2ec812dd81e39a6443793a4746855295b669bc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28bd50625c45fc8fe65fa398d2ec812dd81e39a6443793a4746855295b669bc8","first_computed_at":"2026-05-26T02:04:47.084887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:47.084887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8P74ffcma6JWGxuKe+dj6u9NS+RCAsp77aSvOgPJSm3SY/yqo1Wq5f7AFLgDCKG276VEu9Ix65dvFJyRB4O4AQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:47.085728Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f77a582a84f136015fbab195ef7ca46d139a00bf0ed3b7df20a7257648235e6","sha256:6fcf82ab963d1951b478f6be4cdfc22f8d5042af33c1910d8fd61a921bbb19d3"],"state_sha256":"168d266b54b3955b270e597c4d788554b98e0472497f026fc7ee10c7b879ee38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PRocEiwf5ZTBiU6TsvsIiOS/otRA9IQLNCbMASIPFWCXMk5H1r39Xs90VyplX91CbM8P6qiJA7T1IKJ5OqUfBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:12:57.311467Z","bundle_sha256":"0dea59b0c7cf89f4a34af5752342bbd61308ef7b84c1df11e72e58993211f5e0"}}