{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CBXM3SYID4LH6DENWCIQSM5RNN","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":"7ab780f9f1aff0b1fd5070d261a6624010442fbe40383d6ab64115b228cad6d7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T14:36:48Z","title_canon_sha256":"eddb53d513af905343fef3c6bb74fa81c2d3191fac1d92225e8bac60f06024f0"},"schema_version":"1.0","source":{"id":"2606.30707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30707","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30707v1","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30707","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"pith_short_12","alias_value":"CBXM3SYID4LH","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"pith_short_16","alias_value":"CBXM3SYID4LH6DEN","created_at":"2026-07-01T00:17:14Z"},{"alias_kind":"pith_short_8","alias_value":"CBXM3SYI","created_at":"2026-07-01T00:17:14Z"}],"graph_snapshots":[{"event_id":"sha256:a81b5dff903d4bf3baaeb2244bac5d9374fcb8fb3ebf73ecc3c51df142e56961","target":"graph","created_at":"2026-07-01T00:17:14Z","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/2606.30707/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The scalar-gauge pair formulation promotes gravitational coupling constants to conserved charges, clarifying their role in extended black hole thermodynamics. However, its original incarnation restricts these auxiliary scalar fields to rigid, non-dynamical configurations. In this paper, we introduce a local, dynamical completion of this framework. By constructing the kinetic sector from a defect, which is the difference between the top-form field strength and the associated gravitational Lagrangian density, we allow the scalar to propagate as a genuine massive degree of freedom. Crucially, thi","authors_text":"Bayram Tekin, Kamal Hajian","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T14:36:48Z","title":"Dynamical Completion of Coupling-Charge Thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30707","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":"sha256:26005c9718d0f8fc72f61f7e460b4c7587690e783a2013e1a62dbad62e08e460","target":"record","created_at":"2026-07-01T00:17:14Z","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":"7ab780f9f1aff0b1fd5070d261a6624010442fbe40383d6ab64115b228cad6d7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-29T14:36:48Z","title_canon_sha256":"eddb53d513af905343fef3c6bb74fa81c2d3191fac1d92225e8bac60f06024f0"},"schema_version":"1.0","source":{"id":"2606.30707","kind":"arxiv","version":1}},"canonical_sha256":"106ecdcb081f167f0c8db0910933b16b567e73dbeff87c566e217b96420558d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"106ecdcb081f167f0c8db0910933b16b567e73dbeff87c566e217b96420558d2","first_computed_at":"2026-07-01T00:17:14.061014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T00:17:14.061014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ElCoLglZ65Ho29pWUActZmGIhQRyeiLFL0kiS0LF4lJY7Pdz4PbpzQYSe/TFT8GGgntErXKnD3w8jI8y23JyAw==","signature_status":"signed_v1","signed_at":"2026-07-01T00:17:14.061444Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26005c9718d0f8fc72f61f7e460b4c7587690e783a2013e1a62dbad62e08e460","sha256:a81b5dff903d4bf3baaeb2244bac5d9374fcb8fb3ebf73ecc3c51df142e56961"],"state_sha256":"23fbeae876807f1e893ccb33e2409a71bf4dc7515c378c027bde609cf7eef1bf"}