{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PUVO37SEFFAJLLEVGIJW5IYVZV","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":"28955db48bdd64375e6a28d500dde32df91a4ba6a5d1c1b44056f7245b9e1f6c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-10T11:12:44Z","title_canon_sha256":"92be88a56f79346c2b9f94978d33f3d6fd08b26a297683756b5a473ec290233c"},"schema_version":"1.0","source":{"id":"2606.11942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11942","created_at":"2026-06-11T01:10:17Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11942v1","created_at":"2026-06-11T01:10:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11942","created_at":"2026-06-11T01:10:17Z"},{"alias_kind":"pith_short_12","alias_value":"PUVO37SEFFAJ","created_at":"2026-06-11T01:10:17Z"},{"alias_kind":"pith_short_16","alias_value":"PUVO37SEFFAJLLEV","created_at":"2026-06-11T01:10:17Z"},{"alias_kind":"pith_short_8","alias_value":"PUVO37SE","created_at":"2026-06-11T01:10:17Z"}],"graph_snapshots":[{"event_id":"sha256:8f407b9bc0db3bb769d57f819593f5ae55534ddcc60c63e07ffa6d93b7474dbd","target":"graph","created_at":"2026-06-11T01:10:17Z","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/2606.11942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the critical regime $\\kappa(R,T)=0$ in $\\kappa(R,T)$ gravity. While most studies assume a non-vanishing effective gravitational coupling, the existence of critical hypersurfaces where $\\kappa$ vanishes is a generic feature of many admissible coupling functions. We show that the apparent singularity of the non-conservation equation is an artifact of a rewritten form of the conservation law and that the fundamental equations remain regular at $\\kappa=0$. We further analyze the structure of critical hypersurfaces, derive the associated compatibility condition $(\\nabla^\\mu\\kappa)T_{","authors_text":"Gin\\'es R. P\\'erez Teruel","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-10T11:12:44Z","title":"Critical Coupling Surfaces in $\\kappa(R,T)$ Gravity: Regularity, Gravitational Screening, and Phase Transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11942","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:bd8c56224b33e31a5e52f97482978561ea7c223a70e7aeb869e185609d58cfb9","target":"record","created_at":"2026-06-11T01:10:17Z","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":"28955db48bdd64375e6a28d500dde32df91a4ba6a5d1c1b44056f7245b9e1f6c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-10T11:12:44Z","title_canon_sha256":"92be88a56f79346c2b9f94978d33f3d6fd08b26a297683756b5a473ec290233c"},"schema_version":"1.0","source":{"id":"2606.11942","kind":"arxiv","version":1}},"canonical_sha256":"7d2aedfe44294095ac9532136ea315cd4448b082d004fc60969e9407fae7c6af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d2aedfe44294095ac9532136ea315cd4448b082d004fc60969e9407fae7c6af","first_computed_at":"2026-06-11T01:10:17.187304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:10:17.187304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eBKIZLwwgRshydj4QqH2ZeuszJWLK3yvIFm/iAnLGEVg/UXSAogCr7ADjEg84sBV0HBXxKXg0fysvPmllJKpAA==","signature_status":"signed_v1","signed_at":"2026-06-11T01:10:17.188078Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.11942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd8c56224b33e31a5e52f97482978561ea7c223a70e7aeb869e185609d58cfb9","sha256:8f407b9bc0db3bb769d57f819593f5ae55534ddcc60c63e07ffa6d93b7474dbd"],"state_sha256":"5794f9f9fb0e7b041d61dd7b0c39a2426c1137376b0cf1e0156fcb6fc347f1b6"}