{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:7SKM5Q2KZTTNDS3MYK23XXZFX6","short_pith_number":"pith:7SKM5Q2K","canonical_record":{"source":{"id":"hep-th/9207088","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-07-27T14:51:39Z","cross_cats_sorted":[],"title_canon_sha256":"6a79729cb843ceff2b0d374a456e51750a08b00abe33caaa03472b2f95a77ff0","abstract_canon_sha256":"8a6b095b829aae4b7df6f1b15535ba3de317f1a2427134e009499e46cd52317b"},"schema_version":"1.0"},"canonical_sha256":"fc94cec34acce6d1cb6cc2b5bbdf25bf9ca1775188f03827a665a9a832a8671f","source":{"kind":"arxiv","id":"hep-th/9207088","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9207088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9207088v1","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9207088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"7SKM5Q2KZTTN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7SKM5Q2KZTTNDS3M","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7SKM5Q2K","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:7SKM5Q2KZTTNDS3MYK23XXZFX6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9207088","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-07-27T14:51:39Z","cross_cats_sorted":[],"title_canon_sha256":"6a79729cb843ceff2b0d374a456e51750a08b00abe33caaa03472b2f95a77ff0","abstract_canon_sha256":"8a6b095b829aae4b7df6f1b15535ba3de317f1a2427134e009499e46cd52317b"},"schema_version":"1.0"},"canonical_sha256":"fc94cec34acce6d1cb6cc2b5bbdf25bf9ca1775188f03827a665a9a832a8671f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:05.158615Z","signature_b64":"IdlzjgOaZOjIMDsVg143pSZsA5ukGiXIMvoefIbIfVW/cdR/aM8U86o0y12wHyn0hGTElpJbJS8lyHd7K/PsAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc94cec34acce6d1cb6cc2b5bbdf25bf9ca1775188f03827a665a9a832a8671f","last_reissued_at":"2026-05-18T01:06:05.157934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:05.157934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9207088","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":"2026-05-18T01:06:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zMEvzVqSPtKXnSSMVoSVbk7air8K7TZel9yQCaMPPHlIudTbMl/F0dfr9StZGSfkuIswQV99Kqt+aDkB10sPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T10:20:11.517185Z"},"content_sha256":"a8e9373b9aec4d9584ca826a11f9194b7e827649646ffebda9551f66bb69369a","schema_version":"1.0","event_id":"sha256:a8e9373b9aec4d9584ca826a11f9194b7e827649646ffebda9551f66bb69369a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:7SKM5Q2KZTTNDS3MYK23XXZFX6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"String branchings and complex tori and algebraic representations of generalized Krichever-Novikov algebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andreas Ruffing, Martin Schlichenmaier, Thomas Deck","submitted_at":"1992-07-27T14:51:39Z","abstract_excerpt":"The propagation differential for bosonic strings on a complex torus with three symmetric punctures is investigated. We study deformation aspects between two point and three point differentials as well as the behaviour of the corresponding Krichever-Novikov algebras. The structure constants are calculated and from this we derive a central extension of the Krichever-Novikov algebras by means of b-c systems. The defining cocycle for this central extension deforms to the well known Virasoro cocycle for certain kinds of degenerations of the torus.\n  AMS subject classification (1991): 17B66, 17B90, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9207088","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":""},"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":"2026-05-18T01:06:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4hHrRTSYNQaV00aS4MHpp2Hny9Rxd1F3qQTn7ScDd3hSRP99XLt5PLQrXKEsoHuy0TAnnEoa3pOoqKC06Og+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T10:20:11.517531Z"},"content_sha256":"e52cd1b755b4abd8549ddc45480e55d027ac853826947c1619bac94bbd3df337","schema_version":"1.0","event_id":"sha256:e52cd1b755b4abd8549ddc45480e55d027ac853826947c1619bac94bbd3df337"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6/bundle.json","state_url":"https://pith.science/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6/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":"2026-06-29T10:20:11Z","links":{"resolver":"https://pith.science/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6","bundle":"https://pith.science/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6/bundle.json","state":"https://pith.science/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7SKM5Q2KZTTNDS3MYK23XXZFX6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:7SKM5Q2KZTTNDS3MYK23XXZFX6","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":"8a6b095b829aae4b7df6f1b15535ba3de317f1a2427134e009499e46cd52317b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-07-27T14:51:39Z","title_canon_sha256":"6a79729cb843ceff2b0d374a456e51750a08b00abe33caaa03472b2f95a77ff0"},"schema_version":"1.0","source":{"id":"hep-th/9207088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9207088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9207088v1","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9207088","created_at":"2026-05-18T01:06:05Z"},{"alias_kind":"pith_short_12","alias_value":"7SKM5Q2KZTTN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7SKM5Q2KZTTNDS3M","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7SKM5Q2K","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:e52cd1b755b4abd8549ddc45480e55d027ac853826947c1619bac94bbd3df337","target":"graph","created_at":"2026-05-18T01:06:05Z","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"},"paper":{"abstract_excerpt":"The propagation differential for bosonic strings on a complex torus with three symmetric punctures is investigated. We study deformation aspects between two point and three point differentials as well as the behaviour of the corresponding Krichever-Novikov algebras. The structure constants are calculated and from this we derive a central extension of the Krichever-Novikov algebras by means of b-c systems. The defining cocycle for this central extension deforms to the well known Virasoro cocycle for certain kinds of degenerations of the torus.\n  AMS subject classification (1991): 17B66, 17B90, ","authors_text":"Andreas Ruffing, Martin Schlichenmaier, Thomas Deck","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-07-27T14:51:39Z","title":"String branchings and complex tori and algebraic representations of generalized Krichever-Novikov algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9207088","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:a8e9373b9aec4d9584ca826a11f9194b7e827649646ffebda9551f66bb69369a","target":"record","created_at":"2026-05-18T01:06:05Z","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":"8a6b095b829aae4b7df6f1b15535ba3de317f1a2427134e009499e46cd52317b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-07-27T14:51:39Z","title_canon_sha256":"6a79729cb843ceff2b0d374a456e51750a08b00abe33caaa03472b2f95a77ff0"},"schema_version":"1.0","source":{"id":"hep-th/9207088","kind":"arxiv","version":1}},"canonical_sha256":"fc94cec34acce6d1cb6cc2b5bbdf25bf9ca1775188f03827a665a9a832a8671f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc94cec34acce6d1cb6cc2b5bbdf25bf9ca1775188f03827a665a9a832a8671f","first_computed_at":"2026-05-18T01:06:05.157934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:05.157934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IdlzjgOaZOjIMDsVg143pSZsA5ukGiXIMvoefIbIfVW/cdR/aM8U86o0y12wHyn0hGTElpJbJS8lyHd7K/PsAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:05.158615Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9207088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8e9373b9aec4d9584ca826a11f9194b7e827649646ffebda9551f66bb69369a","sha256:e52cd1b755b4abd8549ddc45480e55d027ac853826947c1619bac94bbd3df337"],"state_sha256":"0bf30b9b718e2fcce7d3d112b3a476df45bae23b929e7b3d57991da7e2962d74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GK6Y7SoZXdSKiZjsWzoO4oXYydzEpWNj/VLEyo3rlQWNHILHJbgqy9K0h9f/EkszTVC4eAng+Zl882FFScelBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T10:20:11.519542Z","bundle_sha256":"98c61d742557a5dd4508553c018dbb92ebf14e6c1bc8f04385decbc78e861748"}}