{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BBXE7X2SKTF4HIPGD2ETOTAEO7","short_pith_number":"pith:BBXE7X2S","schema_version":"1.0","canonical_sha256":"086e4fdf5254cbc3a1e61e89374c0477d6c48976f90d4c74a5562e9d74b3441e","source":{"kind":"arxiv","id":"1507.07488","version":2},"attestation_state":"computed","paper":{"title":"Additional symmetries of the extended bigraded Toda hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"nlin.SI","authors_text":"Bojko Bakalov, William Wheeless","submitted_at":"2015-07-27T17:22:30Z","abstract_excerpt":"The extended bigraded Toda hierarchy (EBTH) is an integrable system satisfied by the total descendant potential of $\\mathbb{CP}^1$ with two orbifold points. We construct additional symmetries of the EBTH and describe explicitly their action on the Lax operator, wave operators, and tau-function of the hierarchy. In particular, we obtain infinitesimal symmetries of the EBTH that act on the tau-function as a subalgebra of the Virasoro algebra, generalizing those of Dubrovin and Zhang."},"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":"1507.07488","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-07-27T17:22:30Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"800ef27e81b7201997b0597ce32b7ecfefb1d93ab3349cfb618f5984a86d4e34","abstract_canon_sha256":"a74ecdd9633e0380771b9fd229a312f3ce902986d5d9a8d9c1621dad4af2d188"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:38.056650Z","signature_b64":"FpTrSal17y1DIokRbG61v/NH9p5xAme1rMmTqff3iTw0J+G8sBvRZXr0Ws5vVXerNO/eUTBFiceThv15ENOvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"086e4fdf5254cbc3a1e61e89374c0477d6c48976f90d4c74a5562e9d74b3441e","last_reissued_at":"2026-05-18T01:23:38.055835Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:38.055835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Additional symmetries of the extended bigraded Toda hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"nlin.SI","authors_text":"Bojko Bakalov, William Wheeless","submitted_at":"2015-07-27T17:22:30Z","abstract_excerpt":"The extended bigraded Toda hierarchy (EBTH) is an integrable system satisfied by the total descendant potential of $\\mathbb{CP}^1$ with two orbifold points. We construct additional symmetries of the EBTH and describe explicitly their action on the Lax operator, wave operators, and tau-function of the hierarchy. In particular, we obtain infinitesimal symmetries of the EBTH that act on the tau-function as a subalgebra of the Virasoro algebra, generalizing those of Dubrovin and Zhang."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07488","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":""},"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":"1507.07488","created_at":"2026-05-18T01:23:38.055964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.07488v2","created_at":"2026-05-18T01:23:38.055964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07488","created_at":"2026-05-18T01:23:38.055964+00:00"},{"alias_kind":"pith_short_12","alias_value":"BBXE7X2SKTF4","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BBXE7X2SKTF4HIPG","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BBXE7X2S","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7","json":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7.json","graph_json":"https://pith.science/api/pith-number/BBXE7X2SKTF4HIPGD2ETOTAEO7/graph.json","events_json":"https://pith.science/api/pith-number/BBXE7X2SKTF4HIPGD2ETOTAEO7/events.json","paper":"https://pith.science/paper/BBXE7X2S"},"agent_actions":{"view_html":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7","download_json":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7.json","view_paper":"https://pith.science/paper/BBXE7X2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.07488&json=true","fetch_graph":"https://pith.science/api/pith-number/BBXE7X2SKTF4HIPGD2ETOTAEO7/graph.json","fetch_events":"https://pith.science/api/pith-number/BBXE7X2SKTF4HIPGD2ETOTAEO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7/action/storage_attestation","attest_author":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7/action/author_attestation","sign_citation":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7/action/citation_signature","submit_replication":"https://pith.science/pith/BBXE7X2SKTF4HIPGD2ETOTAEO7/action/replication_record"}},"created_at":"2026-05-18T01:23:38.055964+00:00","updated_at":"2026-05-18T01:23:38.055964+00:00"}