{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:JYVDOM6UUJKIW7DWZSZ62H74OD","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":"289471726f0d3e5ad57c506d583e6a90d81dc6fbe3aee97b4b730bc38bbbf85f","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T17:17:08Z","title_canon_sha256":"4143054084e58229b8e5bbc32091d9ccf1714fa27cfb6f1e124760048a66c186"},"schema_version":"1.0","source":{"id":"0711.4541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.4541","created_at":"2026-07-04T15:28:00Z"},{"alias_kind":"arxiv_version","alias_value":"0711.4541v1","created_at":"2026-07-04T15:28:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.4541","created_at":"2026-07-04T15:28:00Z"},{"alias_kind":"pith_short_12","alias_value":"JYVDOM6UUJKI","created_at":"2026-07-04T15:28:00Z"},{"alias_kind":"pith_short_16","alias_value":"JYVDOM6UUJKIW7DW","created_at":"2026-07-04T15:28:00Z"},{"alias_kind":"pith_short_8","alias_value":"JYVDOM6U","created_at":"2026-07-04T15:28:00Z"}],"graph_snapshots":[{"event_id":"sha256:f55ce3da91710b63aebef3e5708b1e31b01beceb22f58cc66ebf77ae3b0308c1","target":"graph","created_at":"2026-07-04T15:28:00Z","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/0711.4541/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The canonical Bartnik-McKinnon solitons are regular solutions of the coupled Einstein-Yang-Mills system in which gravity may balance the repulsive nature of the Yang-Mills field. We examine the role played by gravity in balancing the system and determine its strength. In particular, we obtain an analytic lower bound on the fundamental mass-to-radius ratio, max{2m(r)/r}>2/3, which is a necessary condition for the existence of globally regular Einstein-Yang-Mills solitons. Our analytical results are in accord with numerical calculations.","authors_text":"Shahar Hod","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T17:17:08Z","title":"Einstein-Yang-Mills Solitons: The Role of Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.4541","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:d5b13e0fd0bc308e72384a41824c5232ea283bed8306ed1e2b7df90ed50e4a5b","target":"record","created_at":"2026-07-04T15:28:00Z","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":"289471726f0d3e5ad57c506d583e6a90d81dc6fbe3aee97b4b730bc38bbbf85f","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-11-28T17:17:08Z","title_canon_sha256":"4143054084e58229b8e5bbc32091d9ccf1714fa27cfb6f1e124760048a66c186"},"schema_version":"1.0","source":{"id":"0711.4541","kind":"arxiv","version":1}},"canonical_sha256":"4e2a3733d4a2548b7c76ccb3ed1ffc70de2d8fb890a7be4de133bfaa983ecb97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e2a3733d4a2548b7c76ccb3ed1ffc70de2d8fb890a7be4de133bfaa983ecb97","first_computed_at":"2026-07-04T15:28:00.484079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:28:00.484079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZd1k//mhq+HX6L2A6V9HSnM1wRlUcc8LqeOfSrJA9Su3wjpkgMKBzBL4si3KioJy1nuuxcNrgDv8c+rTf42Cw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:28:00.484469Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.4541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5b13e0fd0bc308e72384a41824c5232ea283bed8306ed1e2b7df90ed50e4a5b","sha256:f55ce3da91710b63aebef3e5708b1e31b01beceb22f58cc66ebf77ae3b0308c1"],"state_sha256":"7238e96503a2356ec446a8c7e287e882b9e1ba43ce7f18ce7af840d4bbadd0b7"}