{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CWVMHCFZXGZCNKKH44VQIVYNJ2","short_pith_number":"pith:CWVMHCFZ","schema_version":"1.0","canonical_sha256":"15aac388b9b9b226a947e72b04570d4ebe0f9d71d33021cf1f5ffeaae95b8c1c","source":{"kind":"arxiv","id":"1903.03436","version":7},"attestation_state":"computed","paper":{"title":"Buchdahl compactness limit and gravitational field energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naresh Dadhich","submitted_at":"2019-03-04T16:36:04Z","abstract_excerpt":"The main aim of this paper is essentially to point out that the Buchdahl compactness limit of a static object is given by \\it{gravitational field energy being less than or equal to half of its non-gravitational matter energy}. It is thus entirely determined without any reference to interior distribution by the exterior unique solutions, the Schwarzschild for neutral and the Reissner-Nordstr{$\\ddot o$}m for charged object. In terms of surface potential, it reads as $\\Phi(R) = (M-Q^2/2R)/R \\leq 4/9$ which translates to surface red-shift being less than or equal to $3$. It also prescribes an uppe"},"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":"1903.03436","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-04T16:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"d6603128f4805e0846145d9f38cbe5f3c06adb9c1898cc8a42e1ac5e84b7e70d","abstract_canon_sha256":"07f5ff9d9abf8730ce79c7a29442c96da0119a25323ebf60cc0d09b4ee2be160"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:58:33.331472Z","signature_b64":"X+8APHkpkgo/cxNCU/i7CdG+pEGtmPkhV8NhBobVN5G5zQDs1FK5XYWOM6lH1PPnWVcPyrtQnvxMyQKOZymkDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15aac388b9b9b226a947e72b04570d4ebe0f9d71d33021cf1f5ffeaae95b8c1c","last_reissued_at":"2026-07-05T00:58:33.330987Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:58:33.330987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Buchdahl compactness limit and gravitational field energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Naresh Dadhich","submitted_at":"2019-03-04T16:36:04Z","abstract_excerpt":"The main aim of this paper is essentially to point out that the Buchdahl compactness limit of a static object is given by \\it{gravitational field energy being less than or equal to half of its non-gravitational matter energy}. It is thus entirely determined without any reference to interior distribution by the exterior unique solutions, the Schwarzschild for neutral and the Reissner-Nordstr{$\\ddot o$}m for charged object. In terms of surface potential, it reads as $\\Phi(R) = (M-Q^2/2R)/R \\leq 4/9$ which translates to surface red-shift being less than or equal to $3$. It also prescribes an uppe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03436","kind":"arxiv","version":7},"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/1903.03436/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":"1903.03436","created_at":"2026-07-05T00:58:33.331044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.03436v7","created_at":"2026-07-05T00:58:33.331044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03436","created_at":"2026-07-05T00:58:33.331044+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWVMHCFZXGZC","created_at":"2026-07-05T00:58:33.331044+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWVMHCFZXGZCNKKH","created_at":"2026-07-05T00:58:33.331044+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWVMHCFZ","created_at":"2026-07-05T00:58:33.331044+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2507.00503","citing_title":"Buchdahl stars and bounds with cosmological constant","ref_index":43,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2","json":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2.json","graph_json":"https://pith.science/api/pith-number/CWVMHCFZXGZCNKKH44VQIVYNJ2/graph.json","events_json":"https://pith.science/api/pith-number/CWVMHCFZXGZCNKKH44VQIVYNJ2/events.json","paper":"https://pith.science/paper/CWVMHCFZ"},"agent_actions":{"view_html":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2","download_json":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2.json","view_paper":"https://pith.science/paper/CWVMHCFZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.03436&json=true","fetch_graph":"https://pith.science/api/pith-number/CWVMHCFZXGZCNKKH44VQIVYNJ2/graph.json","fetch_events":"https://pith.science/api/pith-number/CWVMHCFZXGZCNKKH44VQIVYNJ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2/action/storage_attestation","attest_author":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2/action/author_attestation","sign_citation":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2/action/citation_signature","submit_replication":"https://pith.science/pith/CWVMHCFZXGZCNKKH44VQIVYNJ2/action/replication_record"}},"created_at":"2026-07-05T00:58:33.331044+00:00","updated_at":"2026-07-05T00:58:33.331044+00:00"}