{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CWVMHCFZXGZCNKKH44VQIVYNJ2","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":"07f5ff9d9abf8730ce79c7a29442c96da0119a25323ebf60cc0d09b4ee2be160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-04T16:36:04Z","title_canon_sha256":"d6603128f4805e0846145d9f38cbe5f3c06adb9c1898cc8a42e1ac5e84b7e70d"},"schema_version":"1.0","source":{"id":"1903.03436","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03436","created_at":"2026-07-05T00:58:33Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03436v7","created_at":"2026-07-05T00:58:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03436","created_at":"2026-07-05T00:58:33Z"},{"alias_kind":"pith_short_12","alias_value":"CWVMHCFZXGZC","created_at":"2026-07-05T00:58:33Z"},{"alias_kind":"pith_short_16","alias_value":"CWVMHCFZXGZCNKKH","created_at":"2026-07-05T00:58:33Z"},{"alias_kind":"pith_short_8","alias_value":"CWVMHCFZ","created_at":"2026-07-05T00:58:33Z"}],"graph_snapshots":[{"event_id":"sha256:22deadfeddb0e507bb88eddf78ea62523b5ad79f859c663f4afaaba14191efe1","target":"graph","created_at":"2026-07-05T00:58:33Z","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/1903.03436/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Naresh Dadhich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-04T16:36:04Z","title":"Buchdahl compactness limit and gravitational field energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03436","kind":"arxiv","version":7},"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:c483e0ab1c5656c07cbc7c429892c6e3f6143a39d753f5dba2a797581054b943","target":"record","created_at":"2026-07-05T00:58:33Z","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":"07f5ff9d9abf8730ce79c7a29442c96da0119a25323ebf60cc0d09b4ee2be160","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-03-04T16:36:04Z","title_canon_sha256":"d6603128f4805e0846145d9f38cbe5f3c06adb9c1898cc8a42e1ac5e84b7e70d"},"schema_version":"1.0","source":{"id":"1903.03436","kind":"arxiv","version":7}},"canonical_sha256":"15aac388b9b9b226a947e72b04570d4ebe0f9d71d33021cf1f5ffeaae95b8c1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15aac388b9b9b226a947e72b04570d4ebe0f9d71d33021cf1f5ffeaae95b8c1c","first_computed_at":"2026-07-05T00:58:33.330987Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:58:33.330987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X+8APHkpkgo/cxNCU/i7CdG+pEGtmPkhV8NhBobVN5G5zQDs1FK5XYWOM6lH1PPnWVcPyrtQnvxMyQKOZymkDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:58:33.331472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.03436","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c483e0ab1c5656c07cbc7c429892c6e3f6143a39d753f5dba2a797581054b943","sha256:22deadfeddb0e507bb88eddf78ea62523b5ad79f859c663f4afaaba14191efe1"],"state_sha256":"096f1c2d8297b7512cbfff347aaf3f3ffb3782e9e014a0856d5d47dc3a8a256d"}