{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:7MZH7Q7GK2W7VTBCSVJPHBAELP","short_pith_number":"pith:7MZH7Q7G","schema_version":"1.0","canonical_sha256":"fb327fc3e656adfacc229552f384045bc7d1bfac713515c8e5e267b95ff0d8f2","source":{"kind":"arxiv","id":"1809.08209","version":3},"attestation_state":"computed","paper":{"title":"On Rigidity of 3d Asymptotic Symmetry Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Farahmand Parsa, H. R. Safari, M. M. Sheikh-Jabbari","submitted_at":"2018-09-21T17:01:03Z","abstract_excerpt":"We study rigidity and stability of infinite dimensional algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider algebras appearing as asymptotic symmetries of three dimensional spacetimes, the BMS3, u(1) Kac-Moody and Virasoro algebras. We construct and classify the family of algebras which appear as deformations of BMS3, u(1) Kac-Moody and their central extensions by direct computations and also by cohomological analysis. The Virasoro algebra appears as a specific member in this family of rigid algebras; for this case stabilization procedure is"},"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":"1809.08209","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-21T17:01:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e74997af258e91a9e57c17980b241c24f3a005d6659cfe6ce511d1e388b022a0","abstract_canon_sha256":"fb262d576afba89c4f5d7d8fc05f9089f15edd919a924f3de1e0679381cd3751"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:33.363009Z","signature_b64":"BVu6dnoc6zs/bqHKXTmAXp/TdacEHERYAjNBjZc+gPJK9o5PM4Rv6bqi+SN4dtRdl+u3/0T8/NllkQxsR91CBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb327fc3e656adfacc229552f384045bc7d1bfac713515c8e5e267b95ff0d8f2","last_reissued_at":"2026-05-17T23:49:33.362517Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:33.362517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Rigidity of 3d Asymptotic Symmetry Algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Farahmand Parsa, H. R. Safari, M. M. Sheikh-Jabbari","submitted_at":"2018-09-21T17:01:03Z","abstract_excerpt":"We study rigidity and stability of infinite dimensional algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider algebras appearing as asymptotic symmetries of three dimensional spacetimes, the BMS3, u(1) Kac-Moody and Virasoro algebras. We construct and classify the family of algebras which appear as deformations of BMS3, u(1) Kac-Moody and their central extensions by direct computations and also by cohomological analysis. The Virasoro algebra appears as a specific member in this family of rigid algebras; for this case stabilization procedure is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.08209","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":""},"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":"1809.08209","created_at":"2026-05-17T23:49:33.362595+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.08209v3","created_at":"2026-05-17T23:49:33.362595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.08209","created_at":"2026-05-17T23:49:33.362595+00:00"},{"alias_kind":"pith_short_12","alias_value":"7MZH7Q7GK2W7","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"7MZH7Q7GK2W7VTBC","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"7MZH7Q7G","created_at":"2026-05-18T12:32:11.075285+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.14866","citing_title":"BMS-like algebras: canonical realisations and BRST quantisation","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP","json":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP.json","graph_json":"https://pith.science/api/pith-number/7MZH7Q7GK2W7VTBCSVJPHBAELP/graph.json","events_json":"https://pith.science/api/pith-number/7MZH7Q7GK2W7VTBCSVJPHBAELP/events.json","paper":"https://pith.science/paper/7MZH7Q7G"},"agent_actions":{"view_html":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP","download_json":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP.json","view_paper":"https://pith.science/paper/7MZH7Q7G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.08209&json=true","fetch_graph":"https://pith.science/api/pith-number/7MZH7Q7GK2W7VTBCSVJPHBAELP/graph.json","fetch_events":"https://pith.science/api/pith-number/7MZH7Q7GK2W7VTBCSVJPHBAELP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP/action/storage_attestation","attest_author":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP/action/author_attestation","sign_citation":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP/action/citation_signature","submit_replication":"https://pith.science/pith/7MZH7Q7GK2W7VTBCSVJPHBAELP/action/replication_record"}},"created_at":"2026-05-17T23:49:33.362595+00:00","updated_at":"2026-05-17T23:49:33.362595+00:00"}