{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:QCGDX277FYLLINV36KZASGDTWX","short_pith_number":"pith:QCGDX277","canonical_record":{"source":{"id":"hep-th/9903262","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-03-31T13:06:47Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"9ad63fcd99a5f16bd3cf2f46f559da4ebcd8d76c754d06853755953cb9c6e2ea","abstract_canon_sha256":"1ce94fd3a1122418ffeb1dc4780ed52514f8a1e7f627cb41e9888884b6fbdf8d"},"schema_version":"1.0"},"canonical_sha256":"808c3bebff2e16b436bbf2b2091873b5db38c30a95d18b76cd12d4d1de36edfd","source":{"kind":"arxiv","id":"hep-th/9903262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9903262","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9903262v1","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9903262","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"pith_short_12","alias_value":"QCGDX277FYLL","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"QCGDX277FYLLINV3","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"QCGDX277","created_at":"2026-07-04T15:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:QCGDX277FYLLINV36KZASGDTWX","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9903262","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-03-31T13:06:47Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"9ad63fcd99a5f16bd3cf2f46f559da4ebcd8d76c754d06853755953cb9c6e2ea","abstract_canon_sha256":"1ce94fd3a1122418ffeb1dc4780ed52514f8a1e7f627cb41e9888884b6fbdf8d"},"schema_version":"1.0"},"canonical_sha256":"808c3bebff2e16b436bbf2b2091873b5db38c30a95d18b76cd12d4d1de36edfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:27:32.075725Z","signature_b64":"CD7uHnS1j0Uts1W2DQwwzZ6Iqy7r3SEPzEmpkVx5RuZ5cg/dUlUFNZ0/+9Nj9KRuZ9P5i64+u3+Q9BMwBNchAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"808c3bebff2e16b436bbf2b2091873b5db38c30a95d18b76cd12d4d1de36edfd","last_reissued_at":"2026-07-04T15:27:32.075244Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:27:32.075244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9903262","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":"2026-07-04T15:27:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmMPl6f4GAwAiQFM0mohStJMLPLyAlCgCbkeS+04ZcV6Lu3Helvp3MI0+bW00Cj1qrLnu2E6/3eKtLllC2P6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:57:10.609630Z"},"content_sha256":"6c61f81cef948254b03fb6e0dc0254480960a16fa37fc7e7aaedcf220f5c5096","schema_version":"1.0","event_id":"sha256:6c61f81cef948254b03fb6e0dc0254480960a16fa37fc7e7aaedcf220f5c5096"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:QCGDX277FYLLINV36KZASGDTWX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chiral Observables and Modular Invariants","license":"","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"hep-th","authors_text":"K.-H. Rehren (Univ. Goettingen)","submitted_at":"1999-03-31T13:06:47Z","abstract_excerpt":"Various definitions of chiral observables in a given Moebius covariant two-dimensional theory are shown to be equivalent. Their representation theory in the vacuum Hilbert space of the 2D theory is studied. It shares the general characteristics of modular invariant partition functions, although SL(2,Z) transformation properties are not assumed. First steps towards classification are made."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9903262","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9903262/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":"2026-07-04T15:27:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgKVtiJx0HGejLRfAXVg8k6bXXZvgrC3M6SwZqW9Ts83W0UZSHq64G8Ffe3fS7Vkcvgs1cMrpk6UisusufttAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:57:10.610339Z"},"content_sha256":"021aaa714d718319eaef0d7029835c675ab9a998dd31c2cf495bc91290c40d57","schema_version":"1.0","event_id":"sha256:021aaa714d718319eaef0d7029835c675ab9a998dd31c2cf495bc91290c40d57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QCGDX277FYLLINV36KZASGDTWX/bundle.json","state_url":"https://pith.science/pith/QCGDX277FYLLINV36KZASGDTWX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QCGDX277FYLLINV36KZASGDTWX/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":"2026-08-10T14:57:10Z","links":{"resolver":"https://pith.science/pith/QCGDX277FYLLINV36KZASGDTWX","bundle":"https://pith.science/pith/QCGDX277FYLLINV36KZASGDTWX/bundle.json","state":"https://pith.science/pith/QCGDX277FYLLINV36KZASGDTWX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QCGDX277FYLLINV36KZASGDTWX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:QCGDX277FYLLINV36KZASGDTWX","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":"1ce94fd3a1122418ffeb1dc4780ed52514f8a1e7f627cb41e9888884b6fbdf8d","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"","primary_cat":"hep-th","submitted_at":"1999-03-31T13:06:47Z","title_canon_sha256":"9ad63fcd99a5f16bd3cf2f46f559da4ebcd8d76c754d06853755953cb9c6e2ea"},"schema_version":"1.0","source":{"id":"hep-th/9903262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9903262","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9903262v1","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9903262","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"pith_short_12","alias_value":"QCGDX277FYLL","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"QCGDX277FYLLINV3","created_at":"2026-07-04T15:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"QCGDX277","created_at":"2026-07-04T15:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:021aaa714d718319eaef0d7029835c675ab9a998dd31c2cf495bc91290c40d57","target":"graph","created_at":"2026-07-04T15:27:32Z","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/hep-th/9903262/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Various definitions of chiral observables in a given Moebius covariant two-dimensional theory are shown to be equivalent. Their representation theory in the vacuum Hilbert space of the 2D theory is studied. It shares the general characteristics of modular invariant partition functions, although SL(2,Z) transformation properties are not assumed. First steps towards classification are made.","authors_text":"K.-H. Rehren (Univ. Goettingen)","cross_cats":["math-ph","math.MP","math.OA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-03-31T13:06:47Z","title":"Chiral Observables and Modular Invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9903262","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":"sha256:6c61f81cef948254b03fb6e0dc0254480960a16fa37fc7e7aaedcf220f5c5096","target":"record","created_at":"2026-07-04T15:27:32Z","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":"1ce94fd3a1122418ffeb1dc4780ed52514f8a1e7f627cb41e9888884b6fbdf8d","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"","primary_cat":"hep-th","submitted_at":"1999-03-31T13:06:47Z","title_canon_sha256":"9ad63fcd99a5f16bd3cf2f46f559da4ebcd8d76c754d06853755953cb9c6e2ea"},"schema_version":"1.0","source":{"id":"hep-th/9903262","kind":"arxiv","version":1}},"canonical_sha256":"808c3bebff2e16b436bbf2b2091873b5db38c30a95d18b76cd12d4d1de36edfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"808c3bebff2e16b436bbf2b2091873b5db38c30a95d18b76cd12d4d1de36edfd","first_computed_at":"2026-07-04T15:27:32.075244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:27:32.075244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CD7uHnS1j0Uts1W2DQwwzZ6Iqy7r3SEPzEmpkVx5RuZ5cg/dUlUFNZ0/+9Nj9KRuZ9P5i64+u3+Q9BMwBNchAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:27:32.075725Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9903262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c61f81cef948254b03fb6e0dc0254480960a16fa37fc7e7aaedcf220f5c5096","sha256:021aaa714d718319eaef0d7029835c675ab9a998dd31c2cf495bc91290c40d57"],"state_sha256":"73cf6b85dfcac1333bab031ea0e34812dc28ec5f7488561984d948241a3cf97d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgqzFTO5UgQHLZ2Pgg79uPZKEZtWEsrP1YlAqj2iivkNJABdsE5lILxi1/+EB3X6XQm5g0o3NVbORBzYuE3tBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T14:57:10.615930Z","bundle_sha256":"256d259f860467f1f157d08e31aea9d2138184ff2a024fdc9ffca5fdb1ffdae5"}}