{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:TCMT27DF2NPHPLS5XZPWJ4PXIX","short_pith_number":"pith:TCMT27DF","canonical_record":{"source":{"id":"2006.11253","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-06-19T17:40:47Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"60c38a4902b966f466311e777e14bb7c44d93cce2f61c0c0cae751d9739a1c7a","abstract_canon_sha256":"a1e5d09a1eeca2fc17338a784b8a3c83cf5b1e671740275b960ee7bed6d7b817"},"schema_version":"1.0"},"canonical_sha256":"98993d7c65d35e77ae5dbe5f64f1f745e9623823b817767bd41b917f1a6f1f89","source":{"kind":"arxiv","id":"2006.11253","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.11253","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"arxiv_version","alias_value":"2006.11253v2","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.11253","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"pith_short_12","alias_value":"TCMT27DF2NPH","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"pith_short_16","alias_value":"TCMT27DF2NPHPLS5","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"pith_short_8","alias_value":"TCMT27DF","created_at":"2026-07-05T01:58:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:TCMT27DF2NPHPLS5XZPWJ4PXIX","target":"record","payload":{"canonical_record":{"source":{"id":"2006.11253","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-06-19T17:40:47Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"60c38a4902b966f466311e777e14bb7c44d93cce2f61c0c0cae751d9739a1c7a","abstract_canon_sha256":"a1e5d09a1eeca2fc17338a784b8a3c83cf5b1e671740275b960ee7bed6d7b817"},"schema_version":"1.0"},"canonical_sha256":"98993d7c65d35e77ae5dbe5f64f1f745e9623823b817767bd41b917f1a6f1f89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:58:30.693002Z","signature_b64":"eeja/JWWb2hxuV+tMQgkJqpQK3KsKYWbHPicQoDs8GJSYfQcZ/9m3iv9nc6TwZvRjaL/PC/2FYi2enPfeWpnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98993d7c65d35e77ae5dbe5f64f1f745e9623823b817767bd41b917f1a6f1f89","last_reissued_at":"2026-07-05T01:58:30.692587Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:58:30.692587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.11253","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":"2026-07-05T01:58:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2y8y+PxRGIagpZ68m2BxXflyyw3bnvwBOibhKUwHDTceRLXQkw/UgXOsYi7UO+WwdSblIX/Gy7mI0XkDpdyQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:28:52.693965Z"},"content_sha256":"77ef5a201f9f5c0cb7842999cd6e12bee4a2bae96eea511121764eb4aeefa8f2","schema_version":"1.0","event_id":"sha256:77ef5a201f9f5c0cb7842999cd6e12bee4a2bae96eea511121764eb4aeefa8f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:TCMT27DF2NPHPLS5XZPWJ4PXIX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator expansions, layer susceptibility and two-point functions in BCFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Mykola Shpot, Parijat Dey, Tobias Hansen","submitted_at":"2020-06-19T17:40:47Z","abstract_excerpt":"We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the direct identification of the boundary spectrum and expansion coefficients from the layer susceptibility and opens a new way for efficient calculations of two-point correlators in BCFTs. To show how it works we derive an explicit expression for the correlation function $\\langle\\phi_i \\phi^i\\rangle$ of the O(N) model at the extraordinary transition in 4-$\\eps"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.11253","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/2006.11253/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":"2026-07-05T01:58:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uZ7ZDLhmZsJt+cHVeZFu7PAy9N+pyGcVYW5gVwUisB7eb/j0Fy5e0C24PghfWGxKlQxlR/Im/OCwZL0iFDUuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T11:28:52.694353Z"},"content_sha256":"b21432a00c12f41a24ca426d320092279b1e262d51be7c6097623de3d57f0128","schema_version":"1.0","event_id":"sha256:b21432a00c12f41a24ca426d320092279b1e262d51be7c6097623de3d57f0128"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX/bundle.json","state_url":"https://pith.science/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX/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":"2026-08-13T11:28:52Z","links":{"resolver":"https://pith.science/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX","bundle":"https://pith.science/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX/bundle.json","state":"https://pith.science/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TCMT27DF2NPHPLS5XZPWJ4PXIX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TCMT27DF2NPHPLS5XZPWJ4PXIX","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":"a1e5d09a1eeca2fc17338a784b8a3c83cf5b1e671740275b960ee7bed6d7b817","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-06-19T17:40:47Z","title_canon_sha256":"60c38a4902b966f466311e777e14bb7c44d93cce2f61c0c0cae751d9739a1c7a"},"schema_version":"1.0","source":{"id":"2006.11253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.11253","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"arxiv_version","alias_value":"2006.11253v2","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.11253","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"pith_short_12","alias_value":"TCMT27DF2NPH","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"pith_short_16","alias_value":"TCMT27DF2NPHPLS5","created_at":"2026-07-05T01:58:30Z"},{"alias_kind":"pith_short_8","alias_value":"TCMT27DF","created_at":"2026-07-05T01:58:30Z"}],"graph_snapshots":[{"event_id":"sha256:b21432a00c12f41a24ca426d320092279b1e262d51be7c6097623de3d57f0128","target":"graph","created_at":"2026-07-05T01:58:30Z","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/2006.11253/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the direct identification of the boundary spectrum and expansion coefficients from the layer susceptibility and opens a new way for efficient calculations of two-point correlators in BCFTs. To show how it works we derive an explicit expression for the correlation function $\\langle\\phi_i \\phi^i\\rangle$ of the O(N) model at the extraordinary transition in 4-$\\eps","authors_text":"Mykola Shpot, Parijat Dey, Tobias Hansen","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-06-19T17:40:47Z","title":"Operator expansions, layer susceptibility and two-point functions in BCFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.11253","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":"sha256:77ef5a201f9f5c0cb7842999cd6e12bee4a2bae96eea511121764eb4aeefa8f2","target":"record","created_at":"2026-07-05T01:58:30Z","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":"a1e5d09a1eeca2fc17338a784b8a3c83cf5b1e671740275b960ee7bed6d7b817","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2020-06-19T17:40:47Z","title_canon_sha256":"60c38a4902b966f466311e777e14bb7c44d93cce2f61c0c0cae751d9739a1c7a"},"schema_version":"1.0","source":{"id":"2006.11253","kind":"arxiv","version":2}},"canonical_sha256":"98993d7c65d35e77ae5dbe5f64f1f745e9623823b817767bd41b917f1a6f1f89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98993d7c65d35e77ae5dbe5f64f1f745e9623823b817767bd41b917f1a6f1f89","first_computed_at":"2026-07-05T01:58:30.692587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:58:30.692587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eeja/JWWb2hxuV+tMQgkJqpQK3KsKYWbHPicQoDs8GJSYfQcZ/9m3iv9nc6TwZvRjaL/PC/2FYi2enPfeWpnAg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:58:30.693002Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.11253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77ef5a201f9f5c0cb7842999cd6e12bee4a2bae96eea511121764eb4aeefa8f2","sha256:b21432a00c12f41a24ca426d320092279b1e262d51be7c6097623de3d57f0128"],"state_sha256":"babad2f9e687b26f7c11b2d4999cf0b59b874170566ccae8967f67c64fa5b27e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8W8RwAjkuK0N8mvTv4HKKcOqBX10Oq+tghD+HrKGZS7Tnaq1xsRWRup3MekjQyImXPbL53mzZVrw3aat5FHtDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T11:28:52.702314Z","bundle_sha256":"4c65939c94ea24c2620fc916e03b7a7a56d1bdad0087cf284cb954d17e707851"}}