{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:V34IROE2X24YMTHIXAYECRK2NI","short_pith_number":"pith:V34IROE2","schema_version":"1.0","canonical_sha256":"aef888b89abeb9864ce8b83041455a6a1f7ed6f76e09622f0a2da96a4f3da230","source":{"kind":"arxiv","id":"hep-th/9608082","version":1},"attestation_state":"computed","paper":{"title":"Conformal internal symmetry of $2d$ $\\sigma$-models coupled to gravity and a dilaton","license":"","headline":"","cross_cats":["gr-qc","nlin.SI","solv-int"],"primary_cat":"hep-th","authors_text":"B. Julia, H. Nicolai","submitted_at":"1996-08-13T14:22:58Z","abstract_excerpt":"General Relativity reduced to two dimensions possesses a large group of symmetries that exchange classical solutions. The associated Lie algebra is known to contain the affine Kac-Moody algebra $A_1^{(1)}$ and half of a real Witt algebra. In this paper we exhibit the full symmetry under the semi-direct product of $\\Lie{A_1^{(1)}}$ by the Witt algebra $\\Lie{\\Wir}$. Furthermore we exhibit the corresponding hidden gauge symmetries. We show that the theory can be understood in terms of an infinite dimensional potential space involving all degrees of freedom: the dilaton as well as matter and gravi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/9608082","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-08-13T14:22:58Z","cross_cats_sorted":["gr-qc","nlin.SI","solv-int"],"title_canon_sha256":"83a6d438860e8b09666778456d39dbedb8f54c089d04fecfa96ca2e70e1d6b05","abstract_canon_sha256":"c2c6910e5f032469463c5f5398a6e425cd0e392dabe442528d0cc30b06761428"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:02:20.965071Z","signature_b64":"yezlgC0652Mwa0Qro5wmqHbcAblx5X8Ea76WGUXnZphLC2zyE/uqY8H0NwaL6SUkOxi6mY02HWoOqEDyj/GxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aef888b89abeb9864ce8b83041455a6a1f7ed6f76e09622f0a2da96a4f3da230","last_reissued_at":"2026-07-04T16:02:20.964724Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:02:20.964724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal internal symmetry of $2d$ $\\sigma$-models coupled to gravity and a dilaton","license":"","headline":"","cross_cats":["gr-qc","nlin.SI","solv-int"],"primary_cat":"hep-th","authors_text":"B. Julia, H. Nicolai","submitted_at":"1996-08-13T14:22:58Z","abstract_excerpt":"General Relativity reduced to two dimensions possesses a large group of symmetries that exchange classical solutions. The associated Lie algebra is known to contain the affine Kac-Moody algebra $A_1^{(1)}$ and half of a real Witt algebra. In this paper we exhibit the full symmetry under the semi-direct product of $\\Lie{A_1^{(1)}}$ by the Witt algebra $\\Lie{\\Wir}$. Furthermore we exhibit the corresponding hidden gauge symmetries. We show that the theory can be understood in terms of an infinite dimensional potential space involving all degrees of freedom: the dilaton as well as matter and gravi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9608082","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/9608082/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9608082","created_at":"2026-07-04T16:02:20.964787+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9608082v1","created_at":"2026-07-04T16:02:20.964787+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9608082","created_at":"2026-07-04T16:02:20.964787+00:00"},{"alias_kind":"pith_short_12","alias_value":"V34IROE2X24Y","created_at":"2026-07-04T16:02:20.964787+00:00"},{"alias_kind":"pith_short_16","alias_value":"V34IROE2X24YMTHI","created_at":"2026-07-04T16:02:20.964787+00:00"},{"alias_kind":"pith_short_8","alias_value":"V34IROE2","created_at":"2026-07-04T16:02:20.964787+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.01750","citing_title":"Integrable deformations of dimensionally reduced gravity","ref_index":52,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI","json":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI.json","graph_json":"https://pith.science/api/pith-number/V34IROE2X24YMTHIXAYECRK2NI/graph.json","events_json":"https://pith.science/api/pith-number/V34IROE2X24YMTHIXAYECRK2NI/events.json","paper":"https://pith.science/paper/V34IROE2"},"agent_actions":{"view_html":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI","download_json":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI.json","view_paper":"https://pith.science/paper/V34IROE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9608082&json=true","fetch_graph":"https://pith.science/api/pith-number/V34IROE2X24YMTHIXAYECRK2NI/graph.json","fetch_events":"https://pith.science/api/pith-number/V34IROE2X24YMTHIXAYECRK2NI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI/action/storage_attestation","attest_author":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI/action/author_attestation","sign_citation":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI/action/citation_signature","submit_replication":"https://pith.science/pith/V34IROE2X24YMTHIXAYECRK2NI/action/replication_record"}},"created_at":"2026-07-04T16:02:20.964787+00:00","updated_at":"2026-07-04T16:02:20.964787+00:00"}