{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:2HNSMTOC2CPLK6SQHPXMX7XRAD","short_pith_number":"pith:2HNSMTOC","schema_version":"1.0","canonical_sha256":"d1db264dc2d09eb57a503beecbfef100c42ceabb2c7198326e1e8411c37c388b","source":{"kind":"arxiv","id":"gr-qc/0606055","version":2},"attestation_state":"computed","paper":{"title":"Generalized Lemaitre-Tolman-Bondi Solutions with Pressure","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Anthony Lun, Paul Lasky","submitted_at":"2006-06-13T00:01:14Z","abstract_excerpt":"Utilizing the ADM equations, we derive a metric and reduced field equations describing a general, spherically symmetric perfect fluid. The metric describes both the interior perfect fluid region and exterior vacuum Schwarzschild spacetime in a single coordinate patch. The exterior spacetime is in generalized Painleve-Gullstrand coordinates which is an infinite class of coordinate systems. In the static limit the system reduces to a Tolman-Oppenheimer-Volkoff equation on the interior with the exterior in Schwarzschild coordinates. We show the coordinate transformation for the non-static cases t"},"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/0606055","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-06-13T00:01:14Z","cross_cats_sorted":[],"title_canon_sha256":"e46dd2334f462b069b67fb0564bdecad292a9832d5fc4b057915c2ff4f80e438","abstract_canon_sha256":"ddb7787d7364801d8a58c2e3aed0369cf0b12d05a0a28484aaa35bc4aee985b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:54:57.235692Z","signature_b64":"IfY8H3yHp8csNzWrcAbHguVBt2UnY4PfOvAFo3blNjjQjT9JliKVf94iDqHLoiBZlpG1j9w7N5GnaRiEWOfCAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1db264dc2d09eb57a503beecbfef100c42ceabb2c7198326e1e8411c37c388b","last_reissued_at":"2026-07-04T14:54:57.235283Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:54:57.235283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Lemaitre-Tolman-Bondi Solutions with Pressure","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Anthony Lun, Paul Lasky","submitted_at":"2006-06-13T00:01:14Z","abstract_excerpt":"Utilizing the ADM equations, we derive a metric and reduced field equations describing a general, spherically symmetric perfect fluid. The metric describes both the interior perfect fluid region and exterior vacuum Schwarzschild spacetime in a single coordinate patch. The exterior spacetime is in generalized Painleve-Gullstrand coordinates which is an infinite class of coordinate systems. In the static limit the system reduces to a Tolman-Oppenheimer-Volkoff equation on the interior with the exterior in Schwarzschild coordinates. We show the coordinate transformation for the non-static cases t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0606055","kind":"arxiv","version":2},"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/gr-qc/0606055/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0606055","created_at":"2026-07-04T14:54:57.235346+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0606055v2","created_at":"2026-07-04T14:54:57.235346+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0606055","created_at":"2026-07-04T14:54:57.235346+00:00"},{"alias_kind":"pith_short_12","alias_value":"2HNSMTOC2CPL","created_at":"2026-07-04T14:54:57.235346+00:00"},{"alias_kind":"pith_short_16","alias_value":"2HNSMTOC2CPLK6SQ","created_at":"2026-07-04T14:54:57.235346+00:00"},{"alias_kind":"pith_short_8","alias_value":"2HNSMTOC","created_at":"2026-07-04T14:54:57.235346+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08088","citing_title":"An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole","ref_index":25,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD","json":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD.json","graph_json":"https://pith.science/api/pith-number/2HNSMTOC2CPLK6SQHPXMX7XRAD/graph.json","events_json":"https://pith.science/api/pith-number/2HNSMTOC2CPLK6SQHPXMX7XRAD/events.json","paper":"https://pith.science/paper/2HNSMTOC"},"agent_actions":{"view_html":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD","download_json":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD.json","view_paper":"https://pith.science/paper/2HNSMTOC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0606055&json=true","fetch_graph":"https://pith.science/api/pith-number/2HNSMTOC2CPLK6SQHPXMX7XRAD/graph.json","fetch_events":"https://pith.science/api/pith-number/2HNSMTOC2CPLK6SQHPXMX7XRAD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD/action/storage_attestation","attest_author":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD/action/author_attestation","sign_citation":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD/action/citation_signature","submit_replication":"https://pith.science/pith/2HNSMTOC2CPLK6SQHPXMX7XRAD/action/replication_record"}},"created_at":"2026-07-04T14:54:57.235346+00:00","updated_at":"2026-07-04T14:54:57.235346+00:00"}