{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CAS2ZZ4IQD4X7AZS7RPO2XSLTA","short_pith_number":"pith:CAS2ZZ4I","canonical_record":{"source":{"id":"2312.05221","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-08T18:13:01Z","cross_cats_sorted":[],"title_canon_sha256":"cb3354d3fc5d917eb3d322e36d6d4b259777ace5c8d7c3789af71f936b8fa491","abstract_canon_sha256":"0b50e76dbcaee50e93c02caa15293b2387d3da436c9ae04525388268e71fe40d"},"schema_version":"1.0"},"canonical_sha256":"1025ace78880f97f8332fc5eed5e4b980de2b95b07747b3439afb2e473232b17","source":{"kind":"arxiv","id":"2312.05221","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.05221","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"arxiv_version","alias_value":"2312.05221v2","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.05221","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"pith_short_12","alias_value":"CAS2ZZ4IQD4X","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"pith_short_16","alias_value":"CAS2ZZ4IQD4X7AZS","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"pith_short_8","alias_value":"CAS2ZZ4I","created_at":"2026-07-05T08:30:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CAS2ZZ4IQD4X7AZS7RPO2XSLTA","target":"record","payload":{"canonical_record":{"source":{"id":"2312.05221","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-08T18:13:01Z","cross_cats_sorted":[],"title_canon_sha256":"cb3354d3fc5d917eb3d322e36d6d4b259777ace5c8d7c3789af71f936b8fa491","abstract_canon_sha256":"0b50e76dbcaee50e93c02caa15293b2387d3da436c9ae04525388268e71fe40d"},"schema_version":"1.0"},"canonical_sha256":"1025ace78880f97f8332fc5eed5e4b980de2b95b07747b3439afb2e473232b17","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:30:06.574782Z","signature_b64":"PuSbp9dIxuS7qA2OmwhT9RE3VsCC/l7qtb/Spqm6R9APzv6UnlhuCqBNCLofyAJFLrXhKhzyY29eLAYho/hbBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1025ace78880f97f8332fc5eed5e4b980de2b95b07747b3439afb2e473232b17","last_reissued_at":"2026-07-05T08:30:06.574275Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:30:06.574275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.05221","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":"2026-07-05T08:30:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OkqmMbfgz4rwbGEwOQqXzWoYnGvTZltG91UkpI5x3kFUe5VAoCOnRrAkZjvhuDQYXmqd/YnotYaqM0ExTKhgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:07:00.578984Z"},"content_sha256":"0841a96291ed38c7e071ffcee8e3d2666485c32396d0c081f99cbe01054fa6ee","schema_version":"1.0","event_id":"sha256:0841a96291ed38c7e071ffcee8e3d2666485c32396d0c081f99cbe01054fa6ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CAS2ZZ4IQD4X7AZS7RPO2XSLTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic bootstrap for magnetic impurities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Aleix Gimenez-Grau, Davide Bonomi, Elia de Sabbata, Lorenzo Bianchi","submitted_at":"2023-12-08T18:13:01Z","abstract_excerpt":"We study the $O(3)$ critical model and the free theory of a scalar triplet in the presence of a magnetic impurity. We use analytic bootstrap techniques to extract results in the $\\varepsilon$-expansion. First, we extend by one order in perturbation theory the computation of the beta function for the defect coupling in the free theory. Then, we analyze in detail the low-lying spectrum of defect operators, focusing on their perturbative realization when the defect is constructed as a path-ordered exponential. After this, we consider two different bulk two-point functions and we compute them usin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.05221","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/2312.05221/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":"2026-07-05T08:30:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vugDUWn/Oie6rMGRRkTRAqPh0sLpFlFaW6/6ZOJLT4WtPBz7LOrrtE/+pHaV66ixI1HPkZsqBdEk2y0gNRyVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:07:00.579526Z"},"content_sha256":"b6c558cca2ed672134b04b6e90d4eb1ea0dfa0387ff4985f300074d3844209f8","schema_version":"1.0","event_id":"sha256:b6c558cca2ed672134b04b6e90d4eb1ea0dfa0387ff4985f300074d3844209f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA/bundle.json","state_url":"https://pith.science/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA/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":"2026-08-11T19:07:00Z","links":{"resolver":"https://pith.science/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA","bundle":"https://pith.science/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA/bundle.json","state":"https://pith.science/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CAS2ZZ4IQD4X7AZS7RPO2XSLTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CAS2ZZ4IQD4X7AZS7RPO2XSLTA","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":"0b50e76dbcaee50e93c02caa15293b2387d3da436c9ae04525388268e71fe40d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-08T18:13:01Z","title_canon_sha256":"cb3354d3fc5d917eb3d322e36d6d4b259777ace5c8d7c3789af71f936b8fa491"},"schema_version":"1.0","source":{"id":"2312.05221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.05221","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"arxiv_version","alias_value":"2312.05221v2","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.05221","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"pith_short_12","alias_value":"CAS2ZZ4IQD4X","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"pith_short_16","alias_value":"CAS2ZZ4IQD4X7AZS","created_at":"2026-07-05T08:30:06Z"},{"alias_kind":"pith_short_8","alias_value":"CAS2ZZ4I","created_at":"2026-07-05T08:30:06Z"}],"graph_snapshots":[{"event_id":"sha256:b6c558cca2ed672134b04b6e90d4eb1ea0dfa0387ff4985f300074d3844209f8","target":"graph","created_at":"2026-07-05T08:30:06Z","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/2312.05221/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the $O(3)$ critical model and the free theory of a scalar triplet in the presence of a magnetic impurity. We use analytic bootstrap techniques to extract results in the $\\varepsilon$-expansion. First, we extend by one order in perturbation theory the computation of the beta function for the defect coupling in the free theory. Then, we analyze in detail the low-lying spectrum of defect operators, focusing on their perturbative realization when the defect is constructed as a path-ordered exponential. After this, we consider two different bulk two-point functions and we compute them usin","authors_text":"Aleix Gimenez-Grau, Davide Bonomi, Elia de Sabbata, Lorenzo Bianchi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-08T18:13:01Z","title":"Analytic bootstrap for magnetic impurities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.05221","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":"sha256:0841a96291ed38c7e071ffcee8e3d2666485c32396d0c081f99cbe01054fa6ee","target":"record","created_at":"2026-07-05T08:30:06Z","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":"0b50e76dbcaee50e93c02caa15293b2387d3da436c9ae04525388268e71fe40d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-08T18:13:01Z","title_canon_sha256":"cb3354d3fc5d917eb3d322e36d6d4b259777ace5c8d7c3789af71f936b8fa491"},"schema_version":"1.0","source":{"id":"2312.05221","kind":"arxiv","version":2}},"canonical_sha256":"1025ace78880f97f8332fc5eed5e4b980de2b95b07747b3439afb2e473232b17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1025ace78880f97f8332fc5eed5e4b980de2b95b07747b3439afb2e473232b17","first_computed_at":"2026-07-05T08:30:06.574275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:30:06.574275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PuSbp9dIxuS7qA2OmwhT9RE3VsCC/l7qtb/Spqm6R9APzv6UnlhuCqBNCLofyAJFLrXhKhzyY29eLAYho/hbBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:30:06.574782Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.05221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0841a96291ed38c7e071ffcee8e3d2666485c32396d0c081f99cbe01054fa6ee","sha256:b6c558cca2ed672134b04b6e90d4eb1ea0dfa0387ff4985f300074d3844209f8"],"state_sha256":"e745bb8a0f84a92d16ddc7d532460e7f803e6265ef6a00cdff22b674305409da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mr02zK/+Dpz/jkKJ7Lg1jOxwHQLNwpqihgDYsRjKdxY6mbvgVwYarzreTBroAHk3pfkM/2XR+QbztowaXIXiAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:07:00.588227Z","bundle_sha256":"18f60f979a8b31f7e3a3824b6cf1d7a2d588dead8d9bc1698c4a43b50336be43"}}