{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:K5FFEWH3GTTZ77JF3FKAK74VGE","short_pith_number":"pith:K5FFEWH3","canonical_record":{"source":{"id":"2112.09729","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-17T19:28:00Z","cross_cats_sorted":[],"title_canon_sha256":"bcad28aac4ede95c204650bb96c61afe3e097f2729f5317542fdd15c07a412ff","abstract_canon_sha256":"823e9a0e4d9cc841c61003624a2a77d6c05c1210b543f35113f33f05a6f94472"},"schema_version":"1.0"},"canonical_sha256":"574a5258fb34e79ffd25d954057f953129c97ca6b8930de76490da279139add8","source":{"kind":"arxiv","id":"2112.09729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.09729","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"2112.09729v1","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.09729","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"K5FFEWH3GTTZ","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"pith_short_16","alias_value":"K5FFEWH3GTTZ77JF","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"pith_short_8","alias_value":"K5FFEWH3","created_at":"2026-07-05T03:49:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:K5FFEWH3GTTZ77JF3FKAK74VGE","target":"record","payload":{"canonical_record":{"source":{"id":"2112.09729","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-17T19:28:00Z","cross_cats_sorted":[],"title_canon_sha256":"bcad28aac4ede95c204650bb96c61afe3e097f2729f5317542fdd15c07a412ff","abstract_canon_sha256":"823e9a0e4d9cc841c61003624a2a77d6c05c1210b543f35113f33f05a6f94472"},"schema_version":"1.0"},"canonical_sha256":"574a5258fb34e79ffd25d954057f953129c97ca6b8930de76490da279139add8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:49:28.015588Z","signature_b64":"r/WqY7USR3VUb3wfKKTb5Nd1Q8Z9eHO6M1JbleOngRmq0PyJ/Lldq1ZfueYJ4Hb6Mgx+BBE+4rtGi4qgNuMZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"574a5258fb34e79ffd25d954057f953129c97ca6b8930de76490da279139add8","last_reissued_at":"2026-07-05T03:49:28.015116Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:49:28.015116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.09729","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":"2026-07-05T03:49:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Rci0OZqI8NiCZmKO1z0cBSHBPpzLHbvfucyTXhRhPwSs4pGkJb6A6U2NiPQTr7ekiCiSHEPJdqRGp0nI+faDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:35:46.990031Z"},"content_sha256":"2937ec5f66c5f0942f6a2e4d6fdceb420c165b2f34b34f9ca4501c5581d960ce","schema_version":"1.0","event_id":"sha256:2937ec5f66c5f0942f6a2e4d6fdceb420c165b2f34b34f9ca4501c5581d960ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:K5FFEWH3GTTZ77JF3FKAK74VGE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tidal deformability and radial oscillations of anisotropic polytropic spheres","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Grigoris Panotopoulos, Jos\\'e D. V. Arba\\~nil","submitted_at":"2021-12-17T19:28:00Z","abstract_excerpt":"We compute the equilibrium, the fundamental eigenfrequency of oscillations modes, and quadrupolar tidal deformability of anisotropic polytropic spheres. These studies are respectively performed through the numerical solution of the Tolman-Oppenheimer-Volkoff equation, Chandrasekhar radial oscillation equations, and nonlinear first-order Riccati equation for tidal deformability, all modified from their original version to include the anisotropic effects. For the polytropic exponent $\\gamma=2$ and the anisotropic model of Cattoen, Faber, and Visser, we show that the anisotropy could be reflected"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.09729","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/2112.09729/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":"2026-07-05T03:49:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUiTRcLI97WbM1y/b4eJ67YmQwWjz8xOuOTcnzKfzBfiI1bbtklNwM48+CTdI/6Tu3HtHPZtBQlWHGqS9pfJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T14:35:46.990372Z"},"content_sha256":"19ddf94b27d66e1e06c5dfb74481e2a236e053da53681024efd002f4e864f102","schema_version":"1.0","event_id":"sha256:19ddf94b27d66e1e06c5dfb74481e2a236e053da53681024efd002f4e864f102"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K5FFEWH3GTTZ77JF3FKAK74VGE/bundle.json","state_url":"https://pith.science/pith/K5FFEWH3GTTZ77JF3FKAK74VGE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K5FFEWH3GTTZ77JF3FKAK74VGE/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":"2026-08-05T14:35:46Z","links":{"resolver":"https://pith.science/pith/K5FFEWH3GTTZ77JF3FKAK74VGE","bundle":"https://pith.science/pith/K5FFEWH3GTTZ77JF3FKAK74VGE/bundle.json","state":"https://pith.science/pith/K5FFEWH3GTTZ77JF3FKAK74VGE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K5FFEWH3GTTZ77JF3FKAK74VGE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:K5FFEWH3GTTZ77JF3FKAK74VGE","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":"823e9a0e4d9cc841c61003624a2a77d6c05c1210b543f35113f33f05a6f94472","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-17T19:28:00Z","title_canon_sha256":"bcad28aac4ede95c204650bb96c61afe3e097f2729f5317542fdd15c07a412ff"},"schema_version":"1.0","source":{"id":"2112.09729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.09729","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"arxiv_version","alias_value":"2112.09729v1","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.09729","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"pith_short_12","alias_value":"K5FFEWH3GTTZ","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"pith_short_16","alias_value":"K5FFEWH3GTTZ77JF","created_at":"2026-07-05T03:49:28Z"},{"alias_kind":"pith_short_8","alias_value":"K5FFEWH3","created_at":"2026-07-05T03:49:28Z"}],"graph_snapshots":[{"event_id":"sha256:19ddf94b27d66e1e06c5dfb74481e2a236e053da53681024efd002f4e864f102","target":"graph","created_at":"2026-07-05T03:49:28Z","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/2112.09729/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the equilibrium, the fundamental eigenfrequency of oscillations modes, and quadrupolar tidal deformability of anisotropic polytropic spheres. These studies are respectively performed through the numerical solution of the Tolman-Oppenheimer-Volkoff equation, Chandrasekhar radial oscillation equations, and nonlinear first-order Riccati equation for tidal deformability, all modified from their original version to include the anisotropic effects. For the polytropic exponent $\\gamma=2$ and the anisotropic model of Cattoen, Faber, and Visser, we show that the anisotropy could be reflected","authors_text":"Grigoris Panotopoulos, Jos\\'e D. V. Arba\\~nil","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-17T19:28:00Z","title":"Tidal deformability and radial oscillations of anisotropic polytropic spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.09729","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":"sha256:2937ec5f66c5f0942f6a2e4d6fdceb420c165b2f34b34f9ca4501c5581d960ce","target":"record","created_at":"2026-07-05T03:49:28Z","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":"823e9a0e4d9cc841c61003624a2a77d6c05c1210b543f35113f33f05a6f94472","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-12-17T19:28:00Z","title_canon_sha256":"bcad28aac4ede95c204650bb96c61afe3e097f2729f5317542fdd15c07a412ff"},"schema_version":"1.0","source":{"id":"2112.09729","kind":"arxiv","version":1}},"canonical_sha256":"574a5258fb34e79ffd25d954057f953129c97ca6b8930de76490da279139add8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"574a5258fb34e79ffd25d954057f953129c97ca6b8930de76490da279139add8","first_computed_at":"2026-07-05T03:49:28.015116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:49:28.015116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r/WqY7USR3VUb3wfKKTb5Nd1Q8Z9eHO6M1JbleOngRmq0PyJ/Lldq1ZfueYJ4Hb6Mgx+BBE+4rtGi4qgNuMZBA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:49:28.015588Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.09729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2937ec5f66c5f0942f6a2e4d6fdceb420c165b2f34b34f9ca4501c5581d960ce","sha256:19ddf94b27d66e1e06c5dfb74481e2a236e053da53681024efd002f4e864f102"],"state_sha256":"b42d680075b019e5e219cbdf1b968bc4208396b583a9fba7f8d735aecbef3989"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0iRdzN/U5OlCHk+KIxUAU+oRpjPHF/dpUKoEsFXzuVt/zxEAsSTC1P4pCMYTUDwmSkQkHX40hNae0mevB/9WAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T14:35:46.992586Z","bundle_sha256":"a728b96c5ad472933e500371c2bfb6a740f096ff2d17a47aa8932e303ec63cd2"}}