{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:WMGM3ZKLNW6HY426KYOQ4C5AEH","short_pith_number":"pith:WMGM3ZKL","canonical_record":{"source":{"id":"2303.17515","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-30T16:32:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"cf169ce36f2632507f68150e0d81064fe467fe846f1e9207b2c19ad8a2378962","abstract_canon_sha256":"69039b6f34b2adfba99f3d74af445e4e52bafc4f243bfa4c6fb28138773a39db"},"schema_version":"1.0"},"canonical_sha256":"b30ccde54b6dbc7c735e561d0e0ba021d428880cdb102c6574ee97b5ac639331","source":{"kind":"arxiv","id":"2303.17515","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.17515","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"2303.17515v4","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.17515","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"WMGM3ZKLNW6H","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"pith_short_16","alias_value":"WMGM3ZKLNW6HY426","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"pith_short_8","alias_value":"WMGM3ZKL","created_at":"2026-07-05T06:24:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:WMGM3ZKLNW6HY426KYOQ4C5AEH","target":"record","payload":{"canonical_record":{"source":{"id":"2303.17515","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-30T16:32:58Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"cf169ce36f2632507f68150e0d81064fe467fe846f1e9207b2c19ad8a2378962","abstract_canon_sha256":"69039b6f34b2adfba99f3d74af445e4e52bafc4f243bfa4c6fb28138773a39db"},"schema_version":"1.0"},"canonical_sha256":"b30ccde54b6dbc7c735e561d0e0ba021d428880cdb102c6574ee97b5ac639331","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:24:11.853654Z","signature_b64":"lXWl5XjoIVAfvBl+d3Cp9sFnNeyBTCNbHWNvwkH3FSxenZqkm+Fc96H7xp+oWgEa7vkZdj/MPJPoWUBS5qqfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b30ccde54b6dbc7c735e561d0e0ba021d428880cdb102c6574ee97b5ac639331","last_reissued_at":"2026-07-05T06:24:11.853235Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:24:11.853235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.17515","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:24:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5uTdGLA10Krt4dENUxAuzzwqWB99epbXmi2Xk8LKjVBfscQl6cgoqJE3DfhPCF2iObmBKTZNsC7766lRIHNhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T18:21:39.467104Z"},"content_sha256":"3f4db3ecb2df4519e48f4cdc0c0d663737dae6d249aba1df2787437a4dedaaf7","schema_version":"1.0","event_id":"sha256:3f4db3ecb2df4519e48f4cdc0c0d663737dae6d249aba1df2787437a4dedaaf7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:WMGM3ZKLNW6HY426KYOQ4C5AEH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bulk-boundary thermodynamic equivalence: a topology viewpoint","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jie Jiang, Ming Zhang","submitted_at":"2023-03-30T16:32:58Z","abstract_excerpt":"Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed thermodynamics, and boundary conformal field theory thermodynamics. We employ the residue method to study the topological properties of the phase transitions. Our analysis reveals that the bulk and boundary thermodynamics are topologically equivalent for both criticalities and first-order phase transitions in the canonical ensembles, as well as for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.17515","kind":"arxiv","version":4},"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/2303.17515/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":"2026-07-05T06:24:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJCxpDUX/oG2I1fkkpkPm8Fr5z4Y8u4xR7ED4SRrdmdNMb3gvJmcb6UDb7vV9sFcusGoGINCISqT4yS+sHNKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T18:21:39.467604Z"},"content_sha256":"90fc3aec7fe597e651503f4a227a55f8388283a30e9117116e4afac7c28506a0","schema_version":"1.0","event_id":"sha256:90fc3aec7fe597e651503f4a227a55f8388283a30e9117116e4afac7c28506a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH/bundle.json","state_url":"https://pith.science/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH/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":"2026-08-23T18:21:39Z","links":{"resolver":"https://pith.science/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH","bundle":"https://pith.science/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH/bundle.json","state":"https://pith.science/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WMGM3ZKLNW6HY426KYOQ4C5AEH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WMGM3ZKLNW6HY426KYOQ4C5AEH","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":"69039b6f34b2adfba99f3d74af445e4e52bafc4f243bfa4c6fb28138773a39db","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-30T16:32:58Z","title_canon_sha256":"cf169ce36f2632507f68150e0d81064fe467fe846f1e9207b2c19ad8a2378962"},"schema_version":"1.0","source":{"id":"2303.17515","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.17515","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"2303.17515v4","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.17515","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"WMGM3ZKLNW6H","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"pith_short_16","alias_value":"WMGM3ZKLNW6HY426","created_at":"2026-07-05T06:24:11Z"},{"alias_kind":"pith_short_8","alias_value":"WMGM3ZKL","created_at":"2026-07-05T06:24:11Z"}],"graph_snapshots":[{"event_id":"sha256:90fc3aec7fe597e651503f4a227a55f8388283a30e9117116e4afac7c28506a0","target":"graph","created_at":"2026-07-05T06:24:11Z","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/2303.17515/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed thermodynamics, and boundary conformal field theory thermodynamics. We employ the residue method to study the topological properties of the phase transitions. Our analysis reveals that the bulk and boundary thermodynamics are topologically equivalent for both criticalities and first-order phase transitions in the canonical ensembles, as well as for ","authors_text":"Jie Jiang, Ming Zhang","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-30T16:32:58Z","title":"Bulk-boundary thermodynamic equivalence: a topology viewpoint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.17515","kind":"arxiv","version":4},"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":"sha256:3f4db3ecb2df4519e48f4cdc0c0d663737dae6d249aba1df2787437a4dedaaf7","target":"record","created_at":"2026-07-05T06:24:11Z","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":"69039b6f34b2adfba99f3d74af445e4e52bafc4f243bfa4c6fb28138773a39db","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2023-03-30T16:32:58Z","title_canon_sha256":"cf169ce36f2632507f68150e0d81064fe467fe846f1e9207b2c19ad8a2378962"},"schema_version":"1.0","source":{"id":"2303.17515","kind":"arxiv","version":4}},"canonical_sha256":"b30ccde54b6dbc7c735e561d0e0ba021d428880cdb102c6574ee97b5ac639331","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b30ccde54b6dbc7c735e561d0e0ba021d428880cdb102c6574ee97b5ac639331","first_computed_at":"2026-07-05T06:24:11.853235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:24:11.853235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lXWl5XjoIVAfvBl+d3Cp9sFnNeyBTCNbHWNvwkH3FSxenZqkm+Fc96H7xp+oWgEa7vkZdj/MPJPoWUBS5qqfAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:24:11.853654Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.17515","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f4db3ecb2df4519e48f4cdc0c0d663737dae6d249aba1df2787437a4dedaaf7","sha256:90fc3aec7fe597e651503f4a227a55f8388283a30e9117116e4afac7c28506a0"],"state_sha256":"9f4ab7857d98dea34083ae27df28626ac1550956fba15d88b67f6f4cd7ab2c36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AJyfbLGkwQc3e7COAdMej6eUSv5XgHJr5nfqq5ULpOF89UzFVtCEX4pG+sW/kL95povvDeJB5eGn0G20y8TnAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T18:21:39.471416Z","bundle_sha256":"5f7b900bbebfcb715faead11c6d7e2198257f80bce936d56c9eb2d5a627ac1c3"}}