{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:YXACEHWJIADLYZ6DEFFTBHH62R","short_pith_number":"pith:YXACEHWJ","schema_version":"1.0","canonical_sha256":"c5c0221ec94006bc67c3214b309cfed441b862c20a486891eed18d0573b194ab","source":{"kind":"arxiv","id":"gr-qc/0012056","version":1},"attestation_state":"computed","paper":{"title":"Gauge-invariant and coordinate-independent perturbations of stellar collapse II: matching to the exterior","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Carsten Gundlach, Jose M. Martin-Garcia","submitted_at":"2000-12-15T15:54:22Z","abstract_excerpt":"In Paper I in this series we constructed evolution equations for the complete gauge-invariant linear perturbations of a time-dependent spherically symmetric perfect fluid spacetime. A key application of this formalism is the interior of a collapsing star. Here we derive boundary conditions at the surface of the star, matching the interior perturbations to the well-known perturbations of the vacuum Schwarzschild spacetime outside the star."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0012056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-12-15T15:54:22Z","cross_cats_sorted":[],"title_canon_sha256":"81753f5f2d345831cc6491e323ae1d8dd44bea8f06f9e4789d642130f882a6d4","abstract_canon_sha256":"e20f069a284be962b7c2aa61a79104b96076c5d67c9ad08637efd756f80e34ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:35.273589Z","signature_b64":"af5N60Ni48MS6th8aW/TdbB2oAJ9DRM9Zxf1lOCqTAOdoCFro2WYAHo/B8GMoTTJVghCY+Jdzva3wG6iq8r+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5c0221ec94006bc67c3214b309cfed441b862c20a486891eed18d0573b194ab","last_reissued_at":"2026-05-18T04:35:35.272932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:35.272932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge-invariant and coordinate-independent perturbations of stellar collapse II: matching to the exterior","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Carsten Gundlach, Jose M. Martin-Garcia","submitted_at":"2000-12-15T15:54:22Z","abstract_excerpt":"In Paper I in this series we constructed evolution equations for the complete gauge-invariant linear perturbations of a time-dependent spherically symmetric perfect fluid spacetime. A key application of this formalism is the interior of a collapsing star. Here we derive boundary conditions at the surface of the star, matching the interior perturbations to the well-known perturbations of the vacuum Schwarzschild spacetime outside the star."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0012056","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0012056","created_at":"2026-05-18T04:35:35.273026+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0012056v1","created_at":"2026-05-18T04:35:35.273026+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0012056","created_at":"2026-05-18T04:35:35.273026+00:00"},{"alias_kind":"pith_short_12","alias_value":"YXACEHWJIADL","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"YXACEHWJIADLYZ6D","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"YXACEHWJ","created_at":"2026-05-18T12:25:50.254431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.04147","citing_title":"Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds","ref_index":40,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R","json":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R.json","graph_json":"https://pith.science/api/pith-number/YXACEHWJIADLYZ6DEFFTBHH62R/graph.json","events_json":"https://pith.science/api/pith-number/YXACEHWJIADLYZ6DEFFTBHH62R/events.json","paper":"https://pith.science/paper/YXACEHWJ"},"agent_actions":{"view_html":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R","download_json":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R.json","view_paper":"https://pith.science/paper/YXACEHWJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0012056&json=true","fetch_graph":"https://pith.science/api/pith-number/YXACEHWJIADLYZ6DEFFTBHH62R/graph.json","fetch_events":"https://pith.science/api/pith-number/YXACEHWJIADLYZ6DEFFTBHH62R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R/action/storage_attestation","attest_author":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R/action/author_attestation","sign_citation":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R/action/citation_signature","submit_replication":"https://pith.science/pith/YXACEHWJIADLYZ6DEFFTBHH62R/action/replication_record"}},"created_at":"2026-05-18T04:35:35.273026+00:00","updated_at":"2026-05-18T04:35:35.273026+00:00"}