{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:OOFFM6NQIOMQQGDIODGKSXWQRB","short_pith_number":"pith:OOFFM6NQ","schema_version":"1.0","canonical_sha256":"738a5679b0439908186870cca95ed0886d98e61a523d08e9fcf9f05c8e594f1f","source":{"kind":"arxiv","id":"2211.01795","version":2},"attestation_state":"computed","paper":{"title":"Nonrelativistic Approximations of Closed Bosonic String Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Emil Have, Jelle Hartong","submitted_at":"2022-11-03T13:27:30Z","abstract_excerpt":"We further develop the string $1/c^2$ expansion of closed bosonic string theory, where $c$ is the speed of light. The expansion will be performed up to and including the next-to-next-to-leading order (NNLO). We show that the next-to-leading order (NLO) theory is equal to the Gomis--Ooguri string, generalised to a curved target space, provided the target space geometry admits a certain class of co-dimension-2 foliations. We compute the energy of the string up to NNLO for a flat target space with a circle that must be wound by the string, and we show that it agrees with the $1/c^2$ expansion of "},"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":"2211.01795","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-03T13:27:30Z","cross_cats_sorted":[],"title_canon_sha256":"4314acdfe07e29fe548836bdeefa6d0964e1b8b10dc7514f9edf58de0cd6bb57","abstract_canon_sha256":"12f787fd19d38623bc22ad23c50f655eeb6b47cd210ea3c8fd2937ffbec11009"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:43:16.960577Z","signature_b64":"Ojat89dhG+VvQCQWPaS15jr7W+42IQMTOHXB/UFDF1BIYhhwE1J9gLKvcfMROO+oy87ypg6aNGT7/gVRNp3sAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738a5679b0439908186870cca95ed0886d98e61a523d08e9fcf9f05c8e594f1f","last_reissued_at":"2026-07-05T05:43:16.960098Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:43:16.960098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonrelativistic Approximations of Closed Bosonic String Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Emil Have, Jelle Hartong","submitted_at":"2022-11-03T13:27:30Z","abstract_excerpt":"We further develop the string $1/c^2$ expansion of closed bosonic string theory, where $c$ is the speed of light. The expansion will be performed up to and including the next-to-next-to-leading order (NNLO). We show that the next-to-leading order (NLO) theory is equal to the Gomis--Ooguri string, generalised to a curved target space, provided the target space geometry admits a certain class of co-dimension-2 foliations. We compute the energy of the string up to NNLO for a flat target space with a circle that must be wound by the string, and we show that it agrees with the $1/c^2$ expansion of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.01795","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.01795/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":"2211.01795","created_at":"2026-07-05T05:43:16.960164+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.01795v2","created_at":"2026-07-05T05:43:16.960164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.01795","created_at":"2026-07-05T05:43:16.960164+00:00"},{"alias_kind":"pith_short_12","alias_value":"OOFFM6NQIOMQ","created_at":"2026-07-05T05:43:16.960164+00:00"},{"alias_kind":"pith_short_16","alias_value":"OOFFM6NQIOMQQGDI","created_at":"2026-07-05T05:43:16.960164+00:00"},{"alias_kind":"pith_short_8","alias_value":"OOFFM6NQ","created_at":"2026-07-05T05:43:16.960164+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2311.10565","citing_title":"Worldsheet Formalism for Decoupling Limits in String Theory","ref_index":147,"is_internal_anchor":false},{"citing_arxiv_id":"2510.16104","citing_title":"Strings near BTZ black holes: A Carrollian Chronicle","ref_index":63,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB","json":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB.json","graph_json":"https://pith.science/api/pith-number/OOFFM6NQIOMQQGDIODGKSXWQRB/graph.json","events_json":"https://pith.science/api/pith-number/OOFFM6NQIOMQQGDIODGKSXWQRB/events.json","paper":"https://pith.science/paper/OOFFM6NQ"},"agent_actions":{"view_html":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB","download_json":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB.json","view_paper":"https://pith.science/paper/OOFFM6NQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.01795&json=true","fetch_graph":"https://pith.science/api/pith-number/OOFFM6NQIOMQQGDIODGKSXWQRB/graph.json","fetch_events":"https://pith.science/api/pith-number/OOFFM6NQIOMQQGDIODGKSXWQRB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB/action/storage_attestation","attest_author":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB/action/author_attestation","sign_citation":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB/action/citation_signature","submit_replication":"https://pith.science/pith/OOFFM6NQIOMQQGDIODGKSXWQRB/action/replication_record"}},"created_at":"2026-07-05T05:43:16.960164+00:00","updated_at":"2026-07-05T05:43:16.960164+00:00"}