{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:S35HT34Z37VDO5US6TTV5LLFND","short_pith_number":"pith:S35HT34Z","schema_version":"1.0","canonical_sha256":"96fa79ef99dfea377692f4e75ead6568f887508f106c48efa45f238fd74d3303","source":{"kind":"arxiv","id":"hep-th/9909223","version":1},"attestation_state":"computed","paper":{"title":"Open group transformations within the Sp(2)-formalism","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Igor Batalin, Robert Marnelius","submitted_at":"1999-09-30T13:06:34Z","abstract_excerpt":"Previously we have shown that open groups whose generators are in arbitrary involutions may be quantized within a ghost extended framework in terms of the nilpotent BFV-BRST charge operator. Here we show that they may also be quantized within an Sp(2)-frame in which there are two odd anticommuting operators called Sp(2)-charges. Previous results for finite open group transformations are generalized to the Sp(2)-formalism. We show that in order to define open group transformations on the whole ghost extended space we need Sp(2)-charges in the nonminimal sector which contains dynamical Lagrange "},"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/9909223","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-09-30T13:06:34Z","cross_cats_sorted":[],"title_canon_sha256":"6f3fe16ba4640663719834df3b62df4f66e3b91589ae0400bff860094eb0a480","abstract_canon_sha256":"5f545064e844007152c21dc37bdbe545d9d13d4f29fbacbec70a86e7aeb3dfa6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:54.808746Z","signature_b64":"Hc+qEpAcE+bTFUslFmp7KZKwIVEWbu6na02j2lNBj8kUbWK4sj2+4hcrRdUI/iNF/7hauD2diC76Cast1TZTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96fa79ef99dfea377692f4e75ead6568f887508f106c48efa45f238fd74d3303","last_reissued_at":"2026-05-18T01:05:54.808203Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:54.808203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Open group transformations within the Sp(2)-formalism","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Igor Batalin, Robert Marnelius","submitted_at":"1999-09-30T13:06:34Z","abstract_excerpt":"Previously we have shown that open groups whose generators are in arbitrary involutions may be quantized within a ghost extended framework in terms of the nilpotent BFV-BRST charge operator. Here we show that they may also be quantized within an Sp(2)-frame in which there are two odd anticommuting operators called Sp(2)-charges. Previous results for finite open group transformations are generalized to the Sp(2)-formalism. We show that in order to define open group transformations on the whole ghost extended space we need Sp(2)-charges in the nonminimal sector which contains dynamical Lagrange "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9909223","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9909223","created_at":"2026-05-18T01:05:54.808280+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9909223v1","created_at":"2026-05-18T01:05:54.808280+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9909223","created_at":"2026-05-18T01:05:54.808280+00:00"},{"alias_kind":"pith_short_12","alias_value":"S35HT34Z37VD","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"S35HT34Z37VDO5US","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"S35HT34Z","created_at":"2026-05-18T12:25:49.631198+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/S35HT34Z37VDO5US6TTV5LLFND","json":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND.json","graph_json":"https://pith.science/api/pith-number/S35HT34Z37VDO5US6TTV5LLFND/graph.json","events_json":"https://pith.science/api/pith-number/S35HT34Z37VDO5US6TTV5LLFND/events.json","paper":"https://pith.science/paper/S35HT34Z"},"agent_actions":{"view_html":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND","download_json":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND.json","view_paper":"https://pith.science/paper/S35HT34Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9909223&json=true","fetch_graph":"https://pith.science/api/pith-number/S35HT34Z37VDO5US6TTV5LLFND/graph.json","fetch_events":"https://pith.science/api/pith-number/S35HT34Z37VDO5US6TTV5LLFND/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND/action/storage_attestation","attest_author":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND/action/author_attestation","sign_citation":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND/action/citation_signature","submit_replication":"https://pith.science/pith/S35HT34Z37VDO5US6TTV5LLFND/action/replication_record"}},"created_at":"2026-05-18T01:05:54.808280+00:00","updated_at":"2026-05-18T01:05:54.808280+00:00"}