{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:KQHVCB4LN7OQQXFN2KGDIC7HIE","short_pith_number":"pith:KQHVCB4L","canonical_record":{"source":{"id":"math-ph/0303054","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-03-24T11:38:24Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c9adfa5e6e97e9e3bb3a226e6572641d88ccc96de6ec74b7827b8362ca9bb62c","abstract_canon_sha256":"ffeef431ce2d0b366589e4e29c57faee1e101b8fc2bd1fbd5c5c78ceaf71b988"},"schema_version":"1.0"},"canonical_sha256":"540f51078b6fdd085cadd28c340be74136e5943b458cde60cfe9c09d2d1c4c99","source":{"kind":"arxiv","id":"math-ph/0303054","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0303054","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0303054v2","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0303054","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"pith_short_12","alias_value":"KQHVCB4LN7OQ","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"pith_short_16","alias_value":"KQHVCB4LN7OQQXFN","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"pith_short_8","alias_value":"KQHVCB4L","created_at":"2026-07-04T16:41:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:KQHVCB4LN7OQQXFN2KGDIC7HIE","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0303054","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-03-24T11:38:24Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c9adfa5e6e97e9e3bb3a226e6572641d88ccc96de6ec74b7827b8362ca9bb62c","abstract_canon_sha256":"ffeef431ce2d0b366589e4e29c57faee1e101b8fc2bd1fbd5c5c78ceaf71b988"},"schema_version":"1.0"},"canonical_sha256":"540f51078b6fdd085cadd28c340be74136e5943b458cde60cfe9c09d2d1c4c99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:38.016487Z","signature_b64":"StfOmBLMEQi7K90nzYk0S/WGcqbetg9wPHgEN7Z2kkLAGOJhAvFQA28AdWgqlR1P+HUcQ5ZC1HWRua5K4T7wBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"540f51078b6fdd085cadd28c340be74136e5943b458cde60cfe9c09d2d1c4c99","last_reissued_at":"2026-07-04T16:41:38.016089Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:38.016089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0303054","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":"2026-07-04T16:41:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GRolqSHKS1hkwwMRSo1WYIcmK5aD4x24ZCt8NBah+3wvLyw77wzdfICPXpieElLowSyo3QZNbxpJXWSGpHiXCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:31:11.221971Z"},"content_sha256":"0532e3b6586825acf592d57c6f01c524d5452135e46acbe40868127bccc54eb5","schema_version":"1.0","event_id":"sha256:0532e3b6586825acf592d57c6f01c524d5452135e46acbe40868127bccc54eb5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:KQHVCB4LN7OQQXFN2KGDIC7HIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Nature of Coset Models","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Soeren Koester","submitted_at":"2003-03-24T11:38:24Z","abstract_excerpt":"The local algebras of the maximal Coset model C_max associated with a chiral conformal subtheory A\\subset B are shown to coincide with the local relative commutants of A in B, provided A contains a stress energy tensor.\n  Making the same assumption, the adjoint action of the unique inner-implementing representation U^A associated with A\\subset B on the local observables in B is found to define net-endomorphisms of B. This property is exploited for constructing from B a conformally covariant holographic image in 1+1 dimensions which proves useful as a geometric picture for the joint inclusion A"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0303054","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/math-ph/0303054/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":"2026-07-04T16:41:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DD+OvC6+JH2sECONFnQ8n4/RA/QQN+FCcg/ce0DN+gmeYQ2u8vwG9WaJDva5mwU70ljkPlJHPn9avA8JGLsVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T12:31:11.222581Z"},"content_sha256":"8be5d1a57b921c7d6aea890f890affae2457100cb2e21f850be540928d02c5de","schema_version":"1.0","event_id":"sha256:8be5d1a57b921c7d6aea890f890affae2457100cb2e21f850be540928d02c5de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE/bundle.json","state_url":"https://pith.science/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE/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":"2026-07-05T12:31:11Z","links":{"resolver":"https://pith.science/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE","bundle":"https://pith.science/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE/bundle.json","state":"https://pith.science/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KQHVCB4LN7OQQXFN2KGDIC7HIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:KQHVCB4LN7OQQXFN2KGDIC7HIE","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":"ffeef431ce2d0b366589e4e29c57faee1e101b8fc2bd1fbd5c5c78ceaf71b988","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2003-03-24T11:38:24Z","title_canon_sha256":"c9adfa5e6e97e9e3bb3a226e6572641d88ccc96de6ec74b7827b8362ca9bb62c"},"schema_version":"1.0","source":{"id":"math-ph/0303054","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0303054","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0303054v2","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0303054","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"pith_short_12","alias_value":"KQHVCB4LN7OQ","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"pith_short_16","alias_value":"KQHVCB4LN7OQQXFN","created_at":"2026-07-04T16:41:38Z"},{"alias_kind":"pith_short_8","alias_value":"KQHVCB4L","created_at":"2026-07-04T16:41:38Z"}],"graph_snapshots":[{"event_id":"sha256:8be5d1a57b921c7d6aea890f890affae2457100cb2e21f850be540928d02c5de","target":"graph","created_at":"2026-07-04T16:41:38Z","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/math-ph/0303054/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The local algebras of the maximal Coset model C_max associated with a chiral conformal subtheory A\\subset B are shown to coincide with the local relative commutants of A in B, provided A contains a stress energy tensor.\n  Making the same assumption, the adjoint action of the unique inner-implementing representation U^A associated with A\\subset B on the local observables in B is found to define net-endomorphisms of B. This property is exploited for constructing from B a conformally covariant holographic image in 1+1 dimensions which proves useful as a geometric picture for the joint inclusion A","authors_text":"Soeren Koester","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2003-03-24T11:38:24Z","title":"Local Nature of Coset Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0303054","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":"sha256:0532e3b6586825acf592d57c6f01c524d5452135e46acbe40868127bccc54eb5","target":"record","created_at":"2026-07-04T16:41:38Z","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":"ffeef431ce2d0b366589e4e29c57faee1e101b8fc2bd1fbd5c5c78ceaf71b988","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2003-03-24T11:38:24Z","title_canon_sha256":"c9adfa5e6e97e9e3bb3a226e6572641d88ccc96de6ec74b7827b8362ca9bb62c"},"schema_version":"1.0","source":{"id":"math-ph/0303054","kind":"arxiv","version":2}},"canonical_sha256":"540f51078b6fdd085cadd28c340be74136e5943b458cde60cfe9c09d2d1c4c99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"540f51078b6fdd085cadd28c340be74136e5943b458cde60cfe9c09d2d1c4c99","first_computed_at":"2026-07-04T16:41:38.016089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:38.016089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"StfOmBLMEQi7K90nzYk0S/WGcqbetg9wPHgEN7Z2kkLAGOJhAvFQA28AdWgqlR1P+HUcQ5ZC1HWRua5K4T7wBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:38.016487Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0303054","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0532e3b6586825acf592d57c6f01c524d5452135e46acbe40868127bccc54eb5","sha256:8be5d1a57b921c7d6aea890f890affae2457100cb2e21f850be540928d02c5de"],"state_sha256":"f5d5b63bc3e1d34ce792aac3933c3638e9048ee0ae4984062af10092974a4bcc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nUfITCs6EwRfYKGdyA/LaXAz8Xha89hYEj74HqymJAojqRl+waoVW9jdUYMQFGUrxKKJs5F736tW/UQ+qoi2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T12:31:11.225400Z","bundle_sha256":"c5db921618abe476c33dd2f5b5a6fe9f1f8385280bdeacf76134ae55de2670ae"}}