{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QDL53HXMW4QR4TIGIKORNAU2OW","short_pith_number":"pith:QDL53HXM","schema_version":"1.0","canonical_sha256":"80d7dd9eecb7211e4d06429d16829a75baab7fdb9d5c16bc7e875b954e1dc570","source":{"kind":"arxiv","id":"1706.08527","version":1},"attestation_state":"computed","paper":{"title":"Combinatorics and Topology of Kawai-Lewellen-Tye Relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.CO","math.MP"],"primary_cat":"hep-th","authors_text":"Sebastian Mizera","submitted_at":"2017-06-26T18:00:02Z","abstract_excerpt":"We revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the underlying algebro-topological identities known as the twisted period relations. In order to do so, we formulate tree-level string theory amplitudes in the language of twisted de Rham theory. There, open string amplitudes are understood as pairings between twisted cycles and cocycles. Similarly, closed string amplitudes are given as a pairing between two twisted cocycles. Finally, objects relating the two types of string amplitudes are th"},"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":"1706.08527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-06-26T18:00:02Z","cross_cats_sorted":["math-ph","math.AG","math.CO","math.MP"],"title_canon_sha256":"b956fbd0b08ad4f02d94cb61900a40067079c2eaee32c737dbae17deb294957a","abstract_canon_sha256":"878f48e736325d79e40e64bd4c996bcb6e2d5336f1a832e097027e0256ddbf8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:47.317897Z","signature_b64":"wZbo4pApKL80ykz8qusMpgj+lf+fKVov+Ef9EAT5c4rvgQNJGExUgH5pRireIBLyWNA6XEaq7urgiZF6aaHCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80d7dd9eecb7211e4d06429d16829a75baab7fdb9d5c16bc7e875b954e1dc570","last_reissued_at":"2026-05-18T00:36:47.317236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:47.317236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combinatorics and Topology of Kawai-Lewellen-Tye Relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.CO","math.MP"],"primary_cat":"hep-th","authors_text":"Sebastian Mizera","submitted_at":"2017-06-26T18:00:02Z","abstract_excerpt":"We revisit the relations between open and closed string scattering amplitudes discovered by Kawai, Lewellen, and Tye (KLT). We show that they emerge from the underlying algebro-topological identities known as the twisted period relations. In order to do so, we formulate tree-level string theory amplitudes in the language of twisted de Rham theory. There, open string amplitudes are understood as pairings between twisted cycles and cocycles. Similarly, closed string amplitudes are given as a pairing between two twisted cocycles. Finally, objects relating the two types of string amplitudes are th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08527","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":"1706.08527","created_at":"2026-05-18T00:36:47.317326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08527v1","created_at":"2026-05-18T00:36:47.317326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08527","created_at":"2026-05-18T00:36:47.317326+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDL53HXMW4QR","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDL53HXMW4QR4TIG","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDL53HXM","created_at":"2026-05-18T12:31:37.085036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.23699","citing_title":"Twisted de Rham theory for string double copy in AdS","ref_index":47,"is_internal_anchor":true},{"citing_arxiv_id":"2604.07444","citing_title":"Resurgence of high-energy string amplitudes","ref_index":77,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW","json":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW.json","graph_json":"https://pith.science/api/pith-number/QDL53HXMW4QR4TIGIKORNAU2OW/graph.json","events_json":"https://pith.science/api/pith-number/QDL53HXMW4QR4TIGIKORNAU2OW/events.json","paper":"https://pith.science/paper/QDL53HXM"},"agent_actions":{"view_html":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW","download_json":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW.json","view_paper":"https://pith.science/paper/QDL53HXM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08527&json=true","fetch_graph":"https://pith.science/api/pith-number/QDL53HXMW4QR4TIGIKORNAU2OW/graph.json","fetch_events":"https://pith.science/api/pith-number/QDL53HXMW4QR4TIGIKORNAU2OW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW/action/storage_attestation","attest_author":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW/action/author_attestation","sign_citation":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW/action/citation_signature","submit_replication":"https://pith.science/pith/QDL53HXMW4QR4TIGIKORNAU2OW/action/replication_record"}},"created_at":"2026-05-18T00:36:47.317326+00:00","updated_at":"2026-05-18T00:36:47.317326+00:00"}