{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BTDMFWGEK72YPHYROSAHD5GCP4","short_pith_number":"pith:BTDMFWGE","canonical_record":{"source":{"id":"2412.15048","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-19T16:53:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"dc781e599d288b72e3f088dd87a8d475162648d5ffb93a587abd7fa699dd54a3","abstract_canon_sha256":"0012457dfa483a5211b0f705424b5ef5cadc46da49d1bf498e12d4d8d54079e4"},"schema_version":"1.0"},"canonical_sha256":"0cc6c2d8c457f5879f11748071f4c27f19876ad9b4d64e81ac4cefff79afa3ad","source":{"kind":"arxiv","id":"2412.15048","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.15048","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"arxiv_version","alias_value":"2412.15048v3","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15048","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"pith_short_12","alias_value":"BTDMFWGEK72Y","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"pith_short_16","alias_value":"BTDMFWGEK72YPHYR","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"pith_short_8","alias_value":"BTDMFWGE","created_at":"2026-07-05T11:26:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BTDMFWGEK72YPHYROSAHD5GCP4","target":"record","payload":{"canonical_record":{"source":{"id":"2412.15048","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-19T16:53:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"dc781e599d288b72e3f088dd87a8d475162648d5ffb93a587abd7fa699dd54a3","abstract_canon_sha256":"0012457dfa483a5211b0f705424b5ef5cadc46da49d1bf498e12d4d8d54079e4"},"schema_version":"1.0"},"canonical_sha256":"0cc6c2d8c457f5879f11748071f4c27f19876ad9b4d64e81ac4cefff79afa3ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:26:25.259423Z","signature_b64":"JhzSsI9FTkbnOc7TrcTE/N58mdo8l4EMqgQD2PeibbCO0P+Cvzc3/nDwgJRZkbqFP8fF2goQ33GMcJf1nFgPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cc6c2d8c457f5879f11748071f4c27f19876ad9b4d64e81ac4cefff79afa3ad","last_reissued_at":"2026-07-05T11:26:25.258934Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:26:25.258934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.15048","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:26:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sD5bjLWQ2UpmceUpy+JxwgqLzt8O6vLj4r4CvGW+UJ/J+oz713KBZxOmFhg8UoSGXov2SeQdh2kIJ/qsfsNBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:00:57.778649Z"},"content_sha256":"0b0dbd2a5e45ca6e645cbaf76b20c6a6a8cd436b17aada96894b034cb86dff15","schema_version":"1.0","event_id":"sha256:0b0dbd2a5e45ca6e645cbaf76b20c6a6a8cd436b17aada96894b034cb86dff15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BTDMFWGEK72YPHYROSAHD5GCP4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surface Defects in $A$-type Little String Theories","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Baptiste Filoche, Stefan Hohenegger, Taro Kimura","submitted_at":"2024-12-19T16:53:59Z","abstract_excerpt":"$A$-type Little String Theories (LSTs) are engineered from parallel M5-branes on a circle $\\mathbb{S}_\\perp^1$, probing a transverse $\\mathbb{R}^4/\\mathbb{Z}_M$ background. Below the scale of the radius of $\\mathbb{S}_\\perp^1$, these theories resemble a circular quiver gauge theory with $M$ nodes of gauge group $U(N)$ and matter in the bifundamental representation (or adjoint in the case of $M=1$). In this paper, we study these LSTs in the presence of a surface defect, which is introduced through the action of a $\\mathbb{Z}_N$ orbifold that breaks the gauge groups into $[U(1)]^N$. We provide a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.15048","kind":"arxiv","version":3},"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/2412.15048/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":"2026-07-05T11:26:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJDmXlYpNV8OuWZ6WqdxuE8tNgksyWckQo5bWgEFKnVehflTbJ27ySsWpDQ5NezGItZLwJppHAJhcXl1qS1kBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:00:57.779832Z"},"content_sha256":"9c102cda6507494fd2464b9b41d6502ee0680888257b4bfe2674a4baf374a72b","schema_version":"1.0","event_id":"sha256:9c102cda6507494fd2464b9b41d6502ee0680888257b4bfe2674a4baf374a72b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTDMFWGEK72YPHYROSAHD5GCP4/bundle.json","state_url":"https://pith.science/pith/BTDMFWGEK72YPHYROSAHD5GCP4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTDMFWGEK72YPHYROSAHD5GCP4/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":"2026-08-11T19:00:57Z","links":{"resolver":"https://pith.science/pith/BTDMFWGEK72YPHYROSAHD5GCP4","bundle":"https://pith.science/pith/BTDMFWGEK72YPHYROSAHD5GCP4/bundle.json","state":"https://pith.science/pith/BTDMFWGEK72YPHYROSAHD5GCP4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTDMFWGEK72YPHYROSAHD5GCP4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BTDMFWGEK72YPHYROSAHD5GCP4","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":"0012457dfa483a5211b0f705424b5ef5cadc46da49d1bf498e12d4d8d54079e4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-19T16:53:59Z","title_canon_sha256":"dc781e599d288b72e3f088dd87a8d475162648d5ffb93a587abd7fa699dd54a3"},"schema_version":"1.0","source":{"id":"2412.15048","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.15048","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"arxiv_version","alias_value":"2412.15048v3","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15048","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"pith_short_12","alias_value":"BTDMFWGEK72Y","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"pith_short_16","alias_value":"BTDMFWGEK72YPHYR","created_at":"2026-07-05T11:26:25Z"},{"alias_kind":"pith_short_8","alias_value":"BTDMFWGE","created_at":"2026-07-05T11:26:25Z"}],"graph_snapshots":[{"event_id":"sha256:9c102cda6507494fd2464b9b41d6502ee0680888257b4bfe2674a4baf374a72b","target":"graph","created_at":"2026-07-05T11:26:25Z","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/2412.15048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"$A$-type Little String Theories (LSTs) are engineered from parallel M5-branes on a circle $\\mathbb{S}_\\perp^1$, probing a transverse $\\mathbb{R}^4/\\mathbb{Z}_M$ background. Below the scale of the radius of $\\mathbb{S}_\\perp^1$, these theories resemble a circular quiver gauge theory with $M$ nodes of gauge group $U(N)$ and matter in the bifundamental representation (or adjoint in the case of $M=1$). In this paper, we study these LSTs in the presence of a surface defect, which is introduced through the action of a $\\mathbb{Z}_N$ orbifold that breaks the gauge groups into $[U(1)]^N$. We provide a","authors_text":"Baptiste Filoche, Stefan Hohenegger, Taro Kimura","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-19T16:53:59Z","title":"Surface Defects in $A$-type Little String Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.15048","kind":"arxiv","version":3},"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":"sha256:0b0dbd2a5e45ca6e645cbaf76b20c6a6a8cd436b17aada96894b034cb86dff15","target":"record","created_at":"2026-07-05T11:26:25Z","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":"0012457dfa483a5211b0f705424b5ef5cadc46da49d1bf498e12d4d8d54079e4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-12-19T16:53:59Z","title_canon_sha256":"dc781e599d288b72e3f088dd87a8d475162648d5ffb93a587abd7fa699dd54a3"},"schema_version":"1.0","source":{"id":"2412.15048","kind":"arxiv","version":3}},"canonical_sha256":"0cc6c2d8c457f5879f11748071f4c27f19876ad9b4d64e81ac4cefff79afa3ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cc6c2d8c457f5879f11748071f4c27f19876ad9b4d64e81ac4cefff79afa3ad","first_computed_at":"2026-07-05T11:26:25.258934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:26:25.258934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JhzSsI9FTkbnOc7TrcTE/N58mdo8l4EMqgQD2PeibbCO0P+Cvzc3/nDwgJRZkbqFP8fF2goQ33GMcJf1nFgPAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:26:25.259423Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.15048","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b0dbd2a5e45ca6e645cbaf76b20c6a6a8cd436b17aada96894b034cb86dff15","sha256:9c102cda6507494fd2464b9b41d6502ee0680888257b4bfe2674a4baf374a72b"],"state_sha256":"186ca0d33e3c68421fcf79c87ebb275788efa24cdd485a7bdd1d71755762c12f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xn4MJV3SqYA/dnrmvSmo0MvTIBMDKhxr1LAnc3SOIgPns0ny+c8Yh6lKmqysvGgPOclAKzE2ruY7IlRckdqADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:00:57.786275Z","bundle_sha256":"96fb1d763692327370c3fe749d6e5f9c2eec7110676efa0c9b40495eb364083e"}}