{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HHOEYZVXRKWECMZVXW3PJSNGHF","short_pith_number":"pith:HHOEYZVX","canonical_record":{"source":{"id":"1205.1573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-08T01:51:02Z","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"title_canon_sha256":"d7fc4d3e5691b5041bc50fcb6eebeeff3b855eec5bc689d43e025b31c8345354","abstract_canon_sha256":"5107e5a6b0c0cccb52f375c5280242893d2d0178885c3c791b3758afb7767e5d"},"schema_version":"1.0"},"canonical_sha256":"39dc4c66b78aac413335bdb6f4c9a63968710f2ce13d29e2c5a12b70608027e4","source":{"kind":"arxiv","id":"1205.1573","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1573","created_at":"2026-05-18T01:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1573v1","created_at":"2026-05-18T01:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1573","created_at":"2026-05-18T01:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"HHOEYZVXRKWE","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HHOEYZVXRKWECMZV","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HHOEYZVX","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HHOEYZVXRKWECMZVXW3PJSNGHF","target":"record","payload":{"canonical_record":{"source":{"id":"1205.1573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-08T01:51:02Z","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"title_canon_sha256":"d7fc4d3e5691b5041bc50fcb6eebeeff3b855eec5bc689d43e025b31c8345354","abstract_canon_sha256":"5107e5a6b0c0cccb52f375c5280242893d2d0178885c3c791b3758afb7767e5d"},"schema_version":"1.0"},"canonical_sha256":"39dc4c66b78aac413335bdb6f4c9a63968710f2ce13d29e2c5a12b70608027e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:36.898332Z","signature_b64":"FmX82VzjMET2uZCXGqkZMbjy/SuKIWdY4QRJm6BoP3jzQlSEraloRGTFGc4dxgjcApT+4E8kF1Kpdp4ID/fGDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39dc4c66b78aac413335bdb6f4c9a63968710f2ce13d29e2c5a12b70608027e4","last_reissued_at":"2026-05-18T01:57:36.897797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:36.897797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.1573","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":"2026-05-18T01:57:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cN5M5zIbjKvt9MU6Ais1xO/AD1nN0y+HoknUSGFzQL4ew9PLKrz63cgcoWSdhh80J3La2lO+wWRKlTgppgijBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:35:25.630647Z"},"content_sha256":"7f4be9b0c35389abb5d728361fefda0cf349f4c53cad9454c3c284d3f98f1cd8","schema_version":"1.0","event_id":"sha256:7f4be9b0c35389abb5d728361fefda0cf349f4c53cad9454c3c284d3f98f1cd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HHOEYZVXRKWECMZVXW3PJSNGHF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Central Charges for BCFTs and Holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc"],"primary_cat":"hep-th","authors_text":"Masahiro Nozaki, Tadashi Takayanagi, Tomonori Ugajin","submitted_at":"2012-05-08T01:51:02Z","abstract_excerpt":"In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing functions under the RG flows. We present a few supporting evidences from field theory calculations. In two dimensions, we give a holographic construction (AdS/BCFT) for an arbitrary shape of boundary and calculate its logarithmic term as well as boundary energy momentum tensors, confirming its consistency with the Weyl anomaly. Moreover, we give perturbative solut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1573","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":""},"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":"2026-05-18T01:57:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+BfDB49qhzd028vWfVGb/LRdX45LokPuf3YgrcEDuXXmvpCJyzBht4ZJzzyBKZ/mU70QF7z1ZhD/noHxAMPZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:35:25.631000Z"},"content_sha256":"7187d0d9266b67a33b1cd8bad16da18994a8f87199a0a8da504aaa6fc3a9db7d","schema_version":"1.0","event_id":"sha256:7187d0d9266b67a33b1cd8bad16da18994a8f87199a0a8da504aaa6fc3a9db7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HHOEYZVXRKWECMZVXW3PJSNGHF/bundle.json","state_url":"https://pith.science/pith/HHOEYZVXRKWECMZVXW3PJSNGHF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HHOEYZVXRKWECMZVXW3PJSNGHF/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":"2026-05-30T06:35:25Z","links":{"resolver":"https://pith.science/pith/HHOEYZVXRKWECMZVXW3PJSNGHF","bundle":"https://pith.science/pith/HHOEYZVXRKWECMZVXW3PJSNGHF/bundle.json","state":"https://pith.science/pith/HHOEYZVXRKWECMZVXW3PJSNGHF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HHOEYZVXRKWECMZVXW3PJSNGHF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HHOEYZVXRKWECMZVXW3PJSNGHF","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":"5107e5a6b0c0cccb52f375c5280242893d2d0178885c3c791b3758afb7767e5d","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-08T01:51:02Z","title_canon_sha256":"d7fc4d3e5691b5041bc50fcb6eebeeff3b855eec5bc689d43e025b31c8345354"},"schema_version":"1.0","source":{"id":"1205.1573","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1573","created_at":"2026-05-18T01:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1573v1","created_at":"2026-05-18T01:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1573","created_at":"2026-05-18T01:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"HHOEYZVXRKWE","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HHOEYZVXRKWECMZV","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HHOEYZVX","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:7187d0d9266b67a33b1cd8bad16da18994a8f87199a0a8da504aaa6fc3a9db7d","target":"graph","created_at":"2026-05-18T01:57:36Z","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"},"paper":{"abstract_excerpt":"In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing functions under the RG flows. We present a few supporting evidences from field theory calculations. In two dimensions, we give a holographic construction (AdS/BCFT) for an arbitrary shape of boundary and calculate its logarithmic term as well as boundary energy momentum tensors, confirming its consistency with the Weyl anomaly. Moreover, we give perturbative solut","authors_text":"Masahiro Nozaki, Tadashi Takayanagi, Tomonori Ugajin","cross_cats":["cond-mat.str-el","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-08T01:51:02Z","title":"Central Charges for BCFTs and Holography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1573","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":"sha256:7f4be9b0c35389abb5d728361fefda0cf349f4c53cad9454c3c284d3f98f1cd8","target":"record","created_at":"2026-05-18T01:57:36Z","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":"5107e5a6b0c0cccb52f375c5280242893d2d0178885c3c791b3758afb7767e5d","cross_cats_sorted":["cond-mat.str-el","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-08T01:51:02Z","title_canon_sha256":"d7fc4d3e5691b5041bc50fcb6eebeeff3b855eec5bc689d43e025b31c8345354"},"schema_version":"1.0","source":{"id":"1205.1573","kind":"arxiv","version":1}},"canonical_sha256":"39dc4c66b78aac413335bdb6f4c9a63968710f2ce13d29e2c5a12b70608027e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39dc4c66b78aac413335bdb6f4c9a63968710f2ce13d29e2c5a12b70608027e4","first_computed_at":"2026-05-18T01:57:36.897797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:36.897797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FmX82VzjMET2uZCXGqkZMbjy/SuKIWdY4QRJm6BoP3jzQlSEraloRGTFGc4dxgjcApT+4E8kF1Kpdp4ID/fGDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:36.898332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1573","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f4be9b0c35389abb5d728361fefda0cf349f4c53cad9454c3c284d3f98f1cd8","sha256:7187d0d9266b67a33b1cd8bad16da18994a8f87199a0a8da504aaa6fc3a9db7d"],"state_sha256":"38e1d629eb4fccfe414d03f1b3a8f4cf690c7512801c2c260d1e32e0dfad6f2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FcbD6XDwL1vn7bomFYOoBQvF9lRjgd4VI7HjH8UK3+udggDzrxSOuwNg3tojfZP4HJHaRm906bpoeo1wKOAyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:35:25.633108Z","bundle_sha256":"6f539d493eba26a8e910566a90e987236bf101b507268195e2615249dbbab161"}}