{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:3TV3N4VFJDXO4G2VE2JVRQHDV4","short_pith_number":"pith:3TV3N4VF","schema_version":"1.0","canonical_sha256":"dcebb6f2a548eeee1b55269358c0e3af3cacf29823b81f0fa235a09ffeaa2640","source":{"kind":"arxiv","id":"hep-th/0004025","version":1},"attestation_state":"computed","paper":{"title":"Symmetric products, permutation orbifolds and discrete torsion","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"P. Bantay","submitted_at":"2000-04-05T11:21:50Z","abstract_excerpt":"Symmetric product orbifolds, i.e. permutation orbifolds of the full symmetric group S_{n} are considered by applying the general techniques of permutation orbifolds. Generating functions for various quantities, e.g. the torus partition functions and the Klein-bottle amplitudes are presented, as well as a simple expression for the discrete torsion coefficients."},"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/0004025","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-04-05T11:21:50Z","cross_cats_sorted":[],"title_canon_sha256":"aeabc27cc9b997966ec39dc760e17af909f5a67ece7427baeb3d79b372f7aa53","abstract_canon_sha256":"47a5d544ccba0848b39888249270a41585f4d8c538459407e7ea1a23ebb88fb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:31:20.465533Z","signature_b64":"Yp+bDtX2DyDBC7+91G99f58MqyRf3DCP1nGt4TFhCgM6HnjAy1xqYDXmLLug3e7P4CoNlnXY6QMc4jjr5pWtCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcebb6f2a548eeee1b55269358c0e3af3cacf29823b81f0fa235a09ffeaa2640","last_reissued_at":"2026-07-04T14:31:20.465156Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:31:20.465156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric products, permutation orbifolds and discrete torsion","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"P. Bantay","submitted_at":"2000-04-05T11:21:50Z","abstract_excerpt":"Symmetric product orbifolds, i.e. permutation orbifolds of the full symmetric group S_{n} are considered by applying the general techniques of permutation orbifolds. Generating functions for various quantities, e.g. the torus partition functions and the Klein-bottle amplitudes are presented, as well as a simple expression for the discrete torsion coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004025","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/0004025/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/0004025","created_at":"2026-07-04T14:31:20.465211+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004025v1","created_at":"2026-07-04T14:31:20.465211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004025","created_at":"2026-07-04T14:31:20.465211+00:00"},{"alias_kind":"pith_short_12","alias_value":"3TV3N4VFJDXO","created_at":"2026-07-04T14:31:20.465211+00:00"},{"alias_kind":"pith_short_16","alias_value":"3TV3N4VFJDXO4G2V","created_at":"2026-07-04T14:31:20.465211+00:00"},{"alias_kind":"pith_short_8","alias_value":"3TV3N4VF","created_at":"2026-07-04T14:31:20.465211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.12265","citing_title":"Holographic Equidistribution","ref_index":86,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4","json":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4.json","graph_json":"https://pith.science/api/pith-number/3TV3N4VFJDXO4G2VE2JVRQHDV4/graph.json","events_json":"https://pith.science/api/pith-number/3TV3N4VFJDXO4G2VE2JVRQHDV4/events.json","paper":"https://pith.science/paper/3TV3N4VF"},"agent_actions":{"view_html":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4","download_json":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4.json","view_paper":"https://pith.science/paper/3TV3N4VF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0004025&json=true","fetch_graph":"https://pith.science/api/pith-number/3TV3N4VFJDXO4G2VE2JVRQHDV4/graph.json","fetch_events":"https://pith.science/api/pith-number/3TV3N4VFJDXO4G2VE2JVRQHDV4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4/action/storage_attestation","attest_author":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4/action/author_attestation","sign_citation":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4/action/citation_signature","submit_replication":"https://pith.science/pith/3TV3N4VFJDXO4G2VE2JVRQHDV4/action/replication_record"}},"created_at":"2026-07-04T14:31:20.465211+00:00","updated_at":"2026-07-04T14:31:20.465211+00:00"}