{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VHQUEPS24W3MFQWRZKFJUEYIWQ","short_pith_number":"pith:VHQUEPS2","canonical_record":{"source":{"id":"1108.2381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-11T12:05:09Z","cross_cats_sorted":[],"title_canon_sha256":"13b8d00643226c6011a9d78dd21355fcf008287ae07881659d7925a5819d40cd","abstract_canon_sha256":"3d787c899423ef755b3bf9abc3dcad5ecb88b76f48a9c368b08c70043af5177c"},"schema_version":"1.0"},"canonical_sha256":"a9e1423e5ae5b6c2c2d1ca8a9a1308b400e57f72717e027b73050d5254b935cc","source":{"kind":"arxiv","id":"1108.2381","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2381","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2381v2","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2381","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"VHQUEPS24W3M","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VHQUEPS24W3MFQWR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VHQUEPS2","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VHQUEPS24W3MFQWRZKFJUEYIWQ","target":"record","payload":{"canonical_record":{"source":{"id":"1108.2381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-11T12:05:09Z","cross_cats_sorted":[],"title_canon_sha256":"13b8d00643226c6011a9d78dd21355fcf008287ae07881659d7925a5819d40cd","abstract_canon_sha256":"3d787c899423ef755b3bf9abc3dcad5ecb88b76f48a9c368b08c70043af5177c"},"schema_version":"1.0"},"canonical_sha256":"a9e1423e5ae5b6c2c2d1ca8a9a1308b400e57f72717e027b73050d5254b935cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:55.286590Z","signature_b64":"EuELxz/VzTT8XKmbqHSE17qTvlYkr9/7MoCYFpZwJG/L5Rq2CNtjAZEh0dOZ3La/Pw3kLGf/rBM3BPM2/4uzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9e1423e5ae5b6c2c2d1ca8a9a1308b400e57f72717e027b73050d5254b935cc","last_reissued_at":"2026-05-18T02:00:55.285989Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:55.285989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.2381","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mgoA0XZunAcMD1cP3OGs2/2jEB5mqvlOj/T20Ybz0uo3WhIJ0GATzb9Q+W9Vdo9+1ylCbZop2XPwcP+slcgyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:23:16.940815Z"},"content_sha256":"fa855d9b81b5baa43f72f364d05002d50721ad6468f1c3106efe66b5424d522e","schema_version":"1.0","event_id":"sha256:fa855d9b81b5baa43f72f364d05002d50721ad6468f1c3106efe66b5424d522e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VHQUEPS24W3MFQWRZKFJUEYIWQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observations on Open and Closed String Scattering Amplitudes at High Energies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pawel Caputa, Shinji Hirano","submitted_at":"2011-08-11T12:05:09Z","abstract_excerpt":"We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of minus minimal surface areas whose boundaries are cusped closed loops formed by lightlike momentum vectors. We show further that the closed string amplitudes are obtained by gluing two copies of minimal surfaces along their cusped lightlike boundaries. This can be thought of as a manifestation of the Kawai-Lewellen-Tye (KLT) relation at high energies. We also dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2381","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xbtEDADxJCvRMgQVdlCMMUaKxRrvCHeT0h6sQ45n968En513PbCifkHWW/ydqbZfPY9kGZD8AxsmQ6FzcIhsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:23:16.941575Z"},"content_sha256":"79a600479e0e55519f2dcd8e83502712540f44eeaf213a1440f1abaac5e93d3a","schema_version":"1.0","event_id":"sha256:79a600479e0e55519f2dcd8e83502712540f44eeaf213a1440f1abaac5e93d3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ/bundle.json","state_url":"https://pith.science/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T21:23:16Z","links":{"resolver":"https://pith.science/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ","bundle":"https://pith.science/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ/bundle.json","state":"https://pith.science/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHQUEPS24W3MFQWRZKFJUEYIWQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VHQUEPS24W3MFQWRZKFJUEYIWQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3d787c899423ef755b3bf9abc3dcad5ecb88b76f48a9c368b08c70043af5177c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-11T12:05:09Z","title_canon_sha256":"13b8d00643226c6011a9d78dd21355fcf008287ae07881659d7925a5819d40cd"},"schema_version":"1.0","source":{"id":"1108.2381","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.2381","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1108.2381v2","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.2381","created_at":"2026-05-18T02:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"VHQUEPS24W3M","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VHQUEPS24W3MFQWR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VHQUEPS2","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:79a600479e0e55519f2dcd8e83502712540f44eeaf213a1440f1abaac5e93d3a","target":"graph","created_at":"2026-05-18T02:00:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of minus minimal surface areas whose boundaries are cusped closed loops formed by lightlike momentum vectors. We show further that the closed string amplitudes are obtained by gluing two copies of minimal surfaces along their cusped lightlike boundaries. This can be thought of as a manifestation of the Kawai-Lewellen-Tye (KLT) relation at high energies. We also dis","authors_text":"Pawel Caputa, Shinji Hirano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-11T12:05:09Z","title":"Observations on Open and Closed String Scattering Amplitudes at High Energies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2381","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fa855d9b81b5baa43f72f364d05002d50721ad6468f1c3106efe66b5424d522e","target":"record","created_at":"2026-05-18T02:00:55Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3d787c899423ef755b3bf9abc3dcad5ecb88b76f48a9c368b08c70043af5177c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-11T12:05:09Z","title_canon_sha256":"13b8d00643226c6011a9d78dd21355fcf008287ae07881659d7925a5819d40cd"},"schema_version":"1.0","source":{"id":"1108.2381","kind":"arxiv","version":2}},"canonical_sha256":"a9e1423e5ae5b6c2c2d1ca8a9a1308b400e57f72717e027b73050d5254b935cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9e1423e5ae5b6c2c2d1ca8a9a1308b400e57f72717e027b73050d5254b935cc","first_computed_at":"2026-05-18T02:00:55.285989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:55.285989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EuELxz/VzTT8XKmbqHSE17qTvlYkr9/7MoCYFpZwJG/L5Rq2CNtjAZEh0dOZ3La/Pw3kLGf/rBM3BPM2/4uzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:55.286590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.2381","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa855d9b81b5baa43f72f364d05002d50721ad6468f1c3106efe66b5424d522e","sha256:79a600479e0e55519f2dcd8e83502712540f44eeaf213a1440f1abaac5e93d3a"],"state_sha256":"88b9bd13249cc599c7f60ba7c209a3ee0fa576629cda5bccfa031bb898f6f5c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kh2pH51VCkX6gSJWKBi33Dd5gJ/GJZsOQjBcjwu0I498nHwLSHk3CZ7xwTLdCN3/BBO/lTuKwqDTONHeP8e4CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:23:16.945550Z","bundle_sha256":"4859aa0f832e2494d15aab1334f1441bbc0ca867fedbf9b37d9a1974c47c4716"}}