{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:F6TJG4XFHUO4FZDTLVDRDR2YZ5","short_pith_number":"pith:F6TJG4XF","canonical_record":{"source":{"id":"2605.22429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-21T12:51:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"729ef946ab070c6beadfbe987de95559b0fc44f2fe76746270a11fec4d32f8c5","abstract_canon_sha256":"f3fa60d5edaa4576e6d4b9ecd00138dd4244817d1822ffd2a18d3ef728318854"},"schema_version":"1.0"},"canonical_sha256":"2fa69372e53d1dc2e4735d4711c758cf49c42d063b96f6ad5d92cc9d13491af2","source":{"kind":"arxiv","id":"2605.22429","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22429","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22429v1","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22429","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"F6TJG4XFHUO4","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"F6TJG4XFHUO4FZDT","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"F6TJG4XF","created_at":"2026-05-22T01:04:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:F6TJG4XFHUO4FZDTLVDRDR2YZ5","target":"record","payload":{"canonical_record":{"source":{"id":"2605.22429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-21T12:51:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"729ef946ab070c6beadfbe987de95559b0fc44f2fe76746270a11fec4d32f8c5","abstract_canon_sha256":"f3fa60d5edaa4576e6d4b9ecd00138dd4244817d1822ffd2a18d3ef728318854"},"schema_version":"1.0"},"canonical_sha256":"2fa69372e53d1dc2e4735d4711c758cf49c42d063b96f6ad5d92cc9d13491af2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:42.732827Z","signature_b64":"GwC4hjQfE+oCDyrSz/Xgp+n5167h+9N74D26jyxMVNUOBu95SdwEOmTwVLphK045tS6ypRSY6vWc57ldUC3WDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fa69372e53d1dc2e4735d4711c758cf49c42d063b96f6ad5d92cc9d13491af2","last_reissued_at":"2026-05-22T01:04:42.732146Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:42.732146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.22429","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-22T01:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GG5iLhaA1maDOjpubVWIhgWR2daipg/4EKdn0EU8ZALoQhT7bPFLui9YI30rGFMnscvWVFy/+c1FPn6halgrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:22:16.764453Z"},"content_sha256":"036c6e31bae0d1040f2bc62f6b7e7dd3c3ef1580c580aba7dcddcabaddb46644","schema_version":"1.0","event_id":"sha256:036c6e31bae0d1040f2bc62f6b7e7dd3c3ef1580c580aba7dcddcabaddb46644"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:F6TJG4XFHUO4FZDTLVDRDR2YZ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black Hole Entropy Beyond the Wald Term in Nonminimally Coupled Gravity: A Covariant Phase Space Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jia-Zhou Liu, Shan-Ping Wu, Shao-Wen Wei, Yu-Xiao Liu","submitted_at":"2026-05-21T12:51:49Z","abstract_excerpt":"We study the entropy of static, spherically symmetric black holes in diffeomorphism-invariant theories with nonminimal matter--curvature couplings, using the covariant phase space formalism. For regular bifurcate Killing horizons, the Iyer--Wald construction gives the standard Wald entropy. If a matter field cannot be smoothly extended to the regular bifurcation surface, however, the horizon surface charge variation can contain finite contributions that are not included in the Wald entropy density. In the representative obtained by directly varying the action, and after ordinary work terms are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22429","kind":"arxiv","version":1},"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/2605.22429/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":"2026-05-22T01:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d6xAeudNaU2tMfnpcLW93l15OTEmjxlvWVfLpSP1PviDCjfDqnPxPdWG6UCsnoSgN8M86h31BrDaJNo70RHzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T14:22:16.765103Z"},"content_sha256":"b0476e9cbe904ff9077cd2a45c636877e11f0d64e514287f3bae53325e400bf3","schema_version":"1.0","event_id":"sha256:b0476e9cbe904ff9077cd2a45c636877e11f0d64e514287f3bae53325e400bf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5/bundle.json","state_url":"https://pith.science/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5/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":"2026-05-22T14:22:16Z","links":{"resolver":"https://pith.science/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5","bundle":"https://pith.science/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5/bundle.json","state":"https://pith.science/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F6TJG4XFHUO4FZDTLVDRDR2YZ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F6TJG4XFHUO4FZDTLVDRDR2YZ5","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":"f3fa60d5edaa4576e6d4b9ecd00138dd4244817d1822ffd2a18d3ef728318854","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-21T12:51:49Z","title_canon_sha256":"729ef946ab070c6beadfbe987de95559b0fc44f2fe76746270a11fec4d32f8c5"},"schema_version":"1.0","source":{"id":"2605.22429","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22429","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22429v1","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22429","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"F6TJG4XFHUO4","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"F6TJG4XFHUO4FZDT","created_at":"2026-05-22T01:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"F6TJG4XF","created_at":"2026-05-22T01:04:42Z"}],"graph_snapshots":[{"event_id":"sha256:b0476e9cbe904ff9077cd2a45c636877e11f0d64e514287f3bae53325e400bf3","target":"graph","created_at":"2026-05-22T01:04:42Z","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/2605.22429/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the entropy of static, spherically symmetric black holes in diffeomorphism-invariant theories with nonminimal matter--curvature couplings, using the covariant phase space formalism. For regular bifurcate Killing horizons, the Iyer--Wald construction gives the standard Wald entropy. If a matter field cannot be smoothly extended to the regular bifurcation surface, however, the horizon surface charge variation can contain finite contributions that are not included in the Wald entropy density. In the representative obtained by directly varying the action, and after ordinary work terms are","authors_text":"Jia-Zhou Liu, Shan-Ping Wu, Shao-Wen Wei, Yu-Xiao Liu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-21T12:51:49Z","title":"Black Hole Entropy Beyond the Wald Term in Nonminimally Coupled Gravity: A Covariant Phase Space Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22429","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":"sha256:036c6e31bae0d1040f2bc62f6b7e7dd3c3ef1580c580aba7dcddcabaddb46644","target":"record","created_at":"2026-05-22T01:04:42Z","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":"f3fa60d5edaa4576e6d4b9ecd00138dd4244817d1822ffd2a18d3ef728318854","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-21T12:51:49Z","title_canon_sha256":"729ef946ab070c6beadfbe987de95559b0fc44f2fe76746270a11fec4d32f8c5"},"schema_version":"1.0","source":{"id":"2605.22429","kind":"arxiv","version":1}},"canonical_sha256":"2fa69372e53d1dc2e4735d4711c758cf49c42d063b96f6ad5d92cc9d13491af2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fa69372e53d1dc2e4735d4711c758cf49c42d063b96f6ad5d92cc9d13491af2","first_computed_at":"2026-05-22T01:04:42.732146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:42.732146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GwC4hjQfE+oCDyrSz/Xgp+n5167h+9N74D26jyxMVNUOBu95SdwEOmTwVLphK045tS6ypRSY6vWc57ldUC3WDA==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:42.732827Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22429","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:036c6e31bae0d1040f2bc62f6b7e7dd3c3ef1580c580aba7dcddcabaddb46644","sha256:b0476e9cbe904ff9077cd2a45c636877e11f0d64e514287f3bae53325e400bf3"],"state_sha256":"ac10413262f73ecea5dfff6cc07ed68265b91e1a48e5a7706752819fc1baae7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/VObioX5sapSIVd21HLnXRyd0SctH7sXkaz345ExQS5iVJbdZ8pTDFzC5eniMtMF0WoumeiAL2z3sY2YoCrtBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T14:22:16.767891Z","bundle_sha256":"637741353b55d4999a5c26e5132b18e335e104698de3125d0a4205f1330ff846"}}