{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:M2YSPLB4BHUZBVYKRESN23MVG3","short_pith_number":"pith:M2YSPLB4","schema_version":"1.0","canonical_sha256":"66b127ac3c09e990d70a8924dd6d9536cc48a05f8ad80460f432e4d0c20cb7f6","source":{"kind":"arxiv","id":"hep-th/9405144","version":1},"attestation_state":"computed","paper":{"title":"Embeddings for Non-Critical Superstrings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nathan Berkovits, Nobuyoshi Ohta","submitted_at":"1994-05-22T14:24:00Z","abstract_excerpt":"It was previously shown that at critical central charge, $N$-extended superstrings can be embedded in $(N+1)$-extended superstrings. In other words, $(N=0,c=26)\\to (N=1,c=15)\\to (N=2,c=6)\\to (N=3,c=0) \\to (N=4,c=0) $. In this paper, we show that similar embeddings are also possible for $N$-extended superstrings at non-critical central charge. For any $x$, the embedding is $(N=0,c=26+x) \\to (N=1,c=15+x) \\to (N=2,c=6+x) \\to (N=3,c=x) \\to (N=4,c=x)$. As was conjectured by Vafa, the $(N=2,c=9) \\to (N=3,c=3)$ embedding can be used to prove that $N=0$ topological strings are special vaccua of N=1 to"},"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/9405144","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-05-22T14:24:00Z","cross_cats_sorted":[],"title_canon_sha256":"532b25f56202a841d58b82a80a75593009fb974f9db6d46b9a375bab98a03f51","abstract_canon_sha256":"2e1a1563c0ac4ec363648198b686d7680bd1214c2e767ce7ad54b798c934077b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:45.429399Z","signature_b64":"UR4ht97D0+qbfmMd0AReU5S1GniB+kPNx9LunSUHynK1bLXn8EsHQx6LvLOgXOAxbjHju8nZ6ISQpwbZy1BlBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66b127ac3c09e990d70a8924dd6d9536cc48a05f8ad80460f432e4d0c20cb7f6","last_reissued_at":"2026-07-04T15:57:45.429032Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:45.429032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embeddings for Non-Critical Superstrings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Nathan Berkovits, Nobuyoshi Ohta","submitted_at":"1994-05-22T14:24:00Z","abstract_excerpt":"It was previously shown that at critical central charge, $N$-extended superstrings can be embedded in $(N+1)$-extended superstrings. In other words, $(N=0,c=26)\\to (N=1,c=15)\\to (N=2,c=6)\\to (N=3,c=0) \\to (N=4,c=0) $. In this paper, we show that similar embeddings are also possible for $N$-extended superstrings at non-critical central charge. For any $x$, the embedding is $(N=0,c=26+x) \\to (N=1,c=15+x) \\to (N=2,c=6+x) \\to (N=3,c=x) \\to (N=4,c=x)$. As was conjectured by Vafa, the $(N=2,c=9) \\to (N=3,c=3)$ embedding can be used to prove that $N=0$ topological strings are special vaccua of N=1 to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9405144","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/9405144/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/9405144","created_at":"2026-07-04T15:57:45.429090+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9405144v1","created_at":"2026-07-04T15:57:45.429090+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9405144","created_at":"2026-07-04T15:57:45.429090+00:00"},{"alias_kind":"pith_short_12","alias_value":"M2YSPLB4BHUZ","created_at":"2026-07-04T15:57:45.429090+00:00"},{"alias_kind":"pith_short_16","alias_value":"M2YSPLB4BHUZBVYK","created_at":"2026-07-04T15:57:45.429090+00:00"},{"alias_kind":"pith_short_8","alias_value":"M2YSPLB4","created_at":"2026-07-04T15:57:45.429090+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/M2YSPLB4BHUZBVYKRESN23MVG3","json":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3.json","graph_json":"https://pith.science/api/pith-number/M2YSPLB4BHUZBVYKRESN23MVG3/graph.json","events_json":"https://pith.science/api/pith-number/M2YSPLB4BHUZBVYKRESN23MVG3/events.json","paper":"https://pith.science/paper/M2YSPLB4"},"agent_actions":{"view_html":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3","download_json":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3.json","view_paper":"https://pith.science/paper/M2YSPLB4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9405144&json=true","fetch_graph":"https://pith.science/api/pith-number/M2YSPLB4BHUZBVYKRESN23MVG3/graph.json","fetch_events":"https://pith.science/api/pith-number/M2YSPLB4BHUZBVYKRESN23MVG3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3/action/storage_attestation","attest_author":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3/action/author_attestation","sign_citation":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3/action/citation_signature","submit_replication":"https://pith.science/pith/M2YSPLB4BHUZBVYKRESN23MVG3/action/replication_record"}},"created_at":"2026-07-04T15:57:45.429090+00:00","updated_at":"2026-07-04T15:57:45.429090+00:00"}