{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VVC2PXAL5I2CVFOSXJCZXOLHF5","short_pith_number":"pith:VVC2PXAL","canonical_record":{"source":{"id":"1111.2935","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-11-12T15:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"8a3316fb612a30a93ce95bce310cc19d5b70474a0397555462f847938d574b40","abstract_canon_sha256":"38e39ec990d61bd9a93e094f973bd0c5f13fb8d46c9a71ed5e87ef26030e3204"},"schema_version":"1.0"},"canonical_sha256":"ad45a7dc0bea342a95d2ba459bb9672f7aea7c7a28e665f9e7d766315c456782","source":{"kind":"arxiv","id":"1111.2935","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2935","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2935v1","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2935","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"VVC2PXAL5I2C","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VVC2PXAL5I2CVFOS","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VVC2PXAL","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VVC2PXAL5I2CVFOSXJCZXOLHF5","target":"record","payload":{"canonical_record":{"source":{"id":"1111.2935","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-11-12T15:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"8a3316fb612a30a93ce95bce310cc19d5b70474a0397555462f847938d574b40","abstract_canon_sha256":"38e39ec990d61bd9a93e094f973bd0c5f13fb8d46c9a71ed5e87ef26030e3204"},"schema_version":"1.0"},"canonical_sha256":"ad45a7dc0bea342a95d2ba459bb9672f7aea7c7a28e665f9e7d766315c456782","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:58.579098Z","signature_b64":"CEnAhgITPg+YO1EBR0cLeRzUenVGzBCjMWOAS0XT/6SZAj0zWFGYnmXqkA6aZDDP2xxcLoLUJcA9wgtIHlUnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad45a7dc0bea342a95d2ba459bb9672f7aea7c7a28e665f9e7d766315c456782","last_reissued_at":"2026-05-18T03:10:58.578358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:58.578358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.2935","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":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CZQ3LSfxwW4ZLzvuvjazE25pN3szss724+K6f5AmWlFblLxXgMr0zzDtuKoVz5ZDJCP/td5+IKlQpOKWPDVCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T17:43:04.331110Z"},"content_sha256":"f3bb13681ab23c11eb692c684225d8b332b229a4c371d0ae4d8ce0afefe20990","schema_version":"1.0","event_id":"sha256:f3bb13681ab23c11eb692c684225d8b332b229a4c371d0ae4d8ce0afefe20990"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VVC2PXAL5I2CVFOSXJCZXOLHF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-dimensional Hydrodynamic Instabilities in Stellar Core Collapses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Biao Lian, Yu-Qing Lou","submitted_at":"2011-11-12T15:20:15Z","abstract_excerpt":"A spherically symmetric hydrodynamic stellar core collapse under gravity is time-dependent and may become unstable once disturbed. Specifically for a homologously collapse of stellar core characterized by a polytropic exponent \\Gamma=4/3, we examine oscillations and/or instabilities of three dimensional (3D) general polytropic perturbations. For compressible 3D perturbations, the polytropic index \\gamma of perturbations can differ from \\Gamma=4/3 of the general polytropic hydrodynamic background flow. Our model formulation here is more general and allows the existence of internal gravity g(-)-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2935","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":""},"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":"2026-05-18T03:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFNwJeFYYML/iNKdPnKjxTnuS/3UMi5F6N6QyhBKcI4m9AjlLIgQiOT+se25axfwKsqBckdz6vIg/QI3d/PlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T17:43:04.331473Z"},"content_sha256":"5e6dd058601088cbb2b23f10a389aa2c609a34ea0650b0d0df61640277dbf125","schema_version":"1.0","event_id":"sha256:5e6dd058601088cbb2b23f10a389aa2c609a34ea0650b0d0df61640277dbf125"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5/bundle.json","state_url":"https://pith.science/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5/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":"2026-07-02T17:43:04Z","links":{"resolver":"https://pith.science/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5","bundle":"https://pith.science/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5/bundle.json","state":"https://pith.science/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVC2PXAL5I2CVFOSXJCZXOLHF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VVC2PXAL5I2CVFOSXJCZXOLHF5","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":"38e39ec990d61bd9a93e094f973bd0c5f13fb8d46c9a71ed5e87ef26030e3204","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-11-12T15:20:15Z","title_canon_sha256":"8a3316fb612a30a93ce95bce310cc19d5b70474a0397555462f847938d574b40"},"schema_version":"1.0","source":{"id":"1111.2935","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2935","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2935v1","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2935","created_at":"2026-05-18T03:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"VVC2PXAL5I2C","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VVC2PXAL5I2CVFOS","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VVC2PXAL","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:5e6dd058601088cbb2b23f10a389aa2c609a34ea0650b0d0df61640277dbf125","target":"graph","created_at":"2026-05-18T03:10:58Z","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"},"paper":{"abstract_excerpt":"A spherically symmetric hydrodynamic stellar core collapse under gravity is time-dependent and may become unstable once disturbed. Specifically for a homologously collapse of stellar core characterized by a polytropic exponent \\Gamma=4/3, we examine oscillations and/or instabilities of three dimensional (3D) general polytropic perturbations. For compressible 3D perturbations, the polytropic index \\gamma of perturbations can differ from \\Gamma=4/3 of the general polytropic hydrodynamic background flow. Our model formulation here is more general and allows the existence of internal gravity g(-)-","authors_text":"Biao Lian, Yu-Qing Lou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-11-12T15:20:15Z","title":"Three-dimensional Hydrodynamic Instabilities in Stellar Core Collapses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2935","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:f3bb13681ab23c11eb692c684225d8b332b229a4c371d0ae4d8ce0afefe20990","target":"record","created_at":"2026-05-18T03:10:58Z","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":"38e39ec990d61bd9a93e094f973bd0c5f13fb8d46c9a71ed5e87ef26030e3204","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-11-12T15:20:15Z","title_canon_sha256":"8a3316fb612a30a93ce95bce310cc19d5b70474a0397555462f847938d574b40"},"schema_version":"1.0","source":{"id":"1111.2935","kind":"arxiv","version":1}},"canonical_sha256":"ad45a7dc0bea342a95d2ba459bb9672f7aea7c7a28e665f9e7d766315c456782","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad45a7dc0bea342a95d2ba459bb9672f7aea7c7a28e665f9e7d766315c456782","first_computed_at":"2026-05-18T03:10:58.578358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:58.578358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CEnAhgITPg+YO1EBR0cLeRzUenVGzBCjMWOAS0XT/6SZAj0zWFGYnmXqkA6aZDDP2xxcLoLUJcA9wgtIHlUnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:58.579098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2935","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3bb13681ab23c11eb692c684225d8b332b229a4c371d0ae4d8ce0afefe20990","sha256:5e6dd058601088cbb2b23f10a389aa2c609a34ea0650b0d0df61640277dbf125"],"state_sha256":"2b30404e5eeb94f4ed8bc4d4e155031e096698642c9ee36b7d880fe8efc924c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zq4h4ms6e4weOqzjcTrQkAhxaSNBfCXpTQ8ANq4z7QZEcpC04XRu6vpzpLFJE6ieVtWH6Hlz6ZEhPtqmc0KTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T17:43:04.333637Z","bundle_sha256":"b281abf0d975a8d40ad5bf8b6e0089c75211ece31b121d4bd0e27a8b556b9612"}}