{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6DAVQFM75SU6723JQTK7ZBFDF5","short_pith_number":"pith:6DAVQFM7","canonical_record":{"source":{"id":"2511.22558","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-11-27T15:48:35Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e786e0923e985dcc1351c8b01cd66bf2e3550f572e374798f325834bea9e3469","abstract_canon_sha256":"571293615c2bd6808410ab75959034fadc2ce7b17eaf21212bc5469dc968ef29"},"schema_version":"1.0"},"canonical_sha256":"f0c158159feca9efeb6984d5fc84a32f4ea4ad122a18c91d7c08211f5a3e67ab","source":{"kind":"arxiv","id":"2511.22558","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.22558","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"2511.22558v2","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.22558","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"6DAVQFM75SU6","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"pith_short_16","alias_value":"6DAVQFM75SU6723J","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"pith_short_8","alias_value":"6DAVQFM7","created_at":"2026-06-19T16:12:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6DAVQFM75SU6723JQTK7ZBFDF5","target":"record","payload":{"canonical_record":{"source":{"id":"2511.22558","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-11-27T15:48:35Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e786e0923e985dcc1351c8b01cd66bf2e3550f572e374798f325834bea9e3469","abstract_canon_sha256":"571293615c2bd6808410ab75959034fadc2ce7b17eaf21212bc5469dc968ef29"},"schema_version":"1.0"},"canonical_sha256":"f0c158159feca9efeb6984d5fc84a32f4ea4ad122a18c91d7c08211f5a3e67ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:16.411796Z","signature_b64":"fbx3iNya8a5KAQv/JFEGl9pqlVBG9t26NKFzdIY0qefe3f7qUzeyyJ/WMyH/HYvrAclDuGdXwd43jWL85683AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0c158159feca9efeb6984d5fc84a32f4ea4ad122a18c91d7c08211f5a3e67ab","last_reissued_at":"2026-06-19T16:12:16.411400Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:16.411400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2511.22558","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EhiEEmi3V/qK6sDXsyYP/g7z9UjXW03l2F+gNX9Ap4+p0ckoDEfHO7iPtl91FaRCXZJT84R23BfvEqSqlHpfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:02:57.760196Z"},"content_sha256":"1f944676b2cd88c993e246013deb6c223af6e0fcd7096244272ca9496b3c935c","schema_version":"1.0","event_id":"sha256:1f944676b2cd88c993e246013deb6c223af6e0fcd7096244272ca9496b3c935c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6DAVQFM75SU6723JQTK7ZBFDF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Universal Smarr Formula via Coupling Constants","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Bayram Tekin, Kamal Hajian, Onur Ucanok","submitted_at":"2025-11-27T15:48:35Z","abstract_excerpt":"In gravitational theories containing matter fields and higher-derivative corrections, the standard Smarr formula often fails unless all dimensionful couplings are incorporated consistently. Traditionally, parameters such as the cosmological constant or the coefficients of higher-derivative terms are regarded as immutable features of the theory and therefore excluded from the thermodynamic phase space. In our recent work, we developed a fully general framework that promotes every such coupling to a dynamical, freely varying parameter of black hole solutions. This is accomplished by introducing,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.22558","kind":"arxiv","version":2},"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/2511.22558/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-19T16:12:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wd3xk2fq/9t0bdIr1agfFNjSkE/+9KpIB7t5RJ2P+Ze6t5+RK9AljpcJp5eykc0bf1wA8buvYOEcog7dFnF1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T14:02:57.760595Z"},"content_sha256":"dfe3d22e9c310522b99da126b50388af32d2437dcb8fd9a7fc3b2b4032419c33","schema_version":"1.0","event_id":"sha256:dfe3d22e9c310522b99da126b50388af32d2437dcb8fd9a7fc3b2b4032419c33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DAVQFM75SU6723JQTK7ZBFDF5/bundle.json","state_url":"https://pith.science/pith/6DAVQFM75SU6723JQTK7ZBFDF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DAVQFM75SU6723JQTK7ZBFDF5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T14:02:57Z","links":{"resolver":"https://pith.science/pith/6DAVQFM75SU6723JQTK7ZBFDF5","bundle":"https://pith.science/pith/6DAVQFM75SU6723JQTK7ZBFDF5/bundle.json","state":"https://pith.science/pith/6DAVQFM75SU6723JQTK7ZBFDF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DAVQFM75SU6723JQTK7ZBFDF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6DAVQFM75SU6723JQTK7ZBFDF5","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":"571293615c2bd6808410ab75959034fadc2ce7b17eaf21212bc5469dc968ef29","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-11-27T15:48:35Z","title_canon_sha256":"e786e0923e985dcc1351c8b01cd66bf2e3550f572e374798f325834bea9e3469"},"schema_version":"1.0","source":{"id":"2511.22558","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.22558","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"2511.22558v2","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.22558","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"6DAVQFM75SU6","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"pith_short_16","alias_value":"6DAVQFM75SU6723J","created_at":"2026-06-19T16:12:16Z"},{"alias_kind":"pith_short_8","alias_value":"6DAVQFM7","created_at":"2026-06-19T16:12:16Z"}],"graph_snapshots":[{"event_id":"sha256:dfe3d22e9c310522b99da126b50388af32d2437dcb8fd9a7fc3b2b4032419c33","target":"graph","created_at":"2026-06-19T16:12:16Z","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/2511.22558/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In gravitational theories containing matter fields and higher-derivative corrections, the standard Smarr formula often fails unless all dimensionful couplings are incorporated consistently. Traditionally, parameters such as the cosmological constant or the coefficients of higher-derivative terms are regarded as immutable features of the theory and therefore excluded from the thermodynamic phase space. In our recent work, we developed a fully general framework that promotes every such coupling to a dynamical, freely varying parameter of black hole solutions. This is accomplished by introducing,","authors_text":"Bayram Tekin, Kamal Hajian, Onur Ucanok","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-11-27T15:48:35Z","title":"A Universal Smarr Formula via Coupling Constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.22558","kind":"arxiv","version":2},"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":"sha256:1f944676b2cd88c993e246013deb6c223af6e0fcd7096244272ca9496b3c935c","target":"record","created_at":"2026-06-19T16:12:16Z","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":"571293615c2bd6808410ab75959034fadc2ce7b17eaf21212bc5469dc968ef29","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-11-27T15:48:35Z","title_canon_sha256":"e786e0923e985dcc1351c8b01cd66bf2e3550f572e374798f325834bea9e3469"},"schema_version":"1.0","source":{"id":"2511.22558","kind":"arxiv","version":2}},"canonical_sha256":"f0c158159feca9efeb6984d5fc84a32f4ea4ad122a18c91d7c08211f5a3e67ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0c158159feca9efeb6984d5fc84a32f4ea4ad122a18c91d7c08211f5a3e67ab","first_computed_at":"2026-06-19T16:12:16.411400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:16.411400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fbx3iNya8a5KAQv/JFEGl9pqlVBG9t26NKFzdIY0qefe3f7qUzeyyJ/WMyH/HYvrAclDuGdXwd43jWL85683AQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:16.411796Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.22558","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f944676b2cd88c993e246013deb6c223af6e0fcd7096244272ca9496b3c935c","sha256:dfe3d22e9c310522b99da126b50388af32d2437dcb8fd9a7fc3b2b4032419c33"],"state_sha256":"cd454cde7cd5a02c2e6f28f230630416a63eb5ddb0e11c104d2d4d860830ed85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I1sC8cKSW42y5EFCj3IHPRC3SE4GtMTkhjmqJUcln/sXTl5afdfkqe4uilCPWkiFOD2t2mU4OFf3tX3xtc3eBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T14:02:57.762529Z","bundle_sha256":"68a90a4f1b5ecd8cfd9540481a0443af50506fce6164b1109f7fdc02ab864eb8"}}