{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:DJM2N6SOWJW723SMVGTJBNGPWR","short_pith_number":"pith:DJM2N6SO","canonical_record":{"source":{"id":"0806.0349","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-06-02T18:28:12Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a7a6aa4b59c2c75e53b45052601c88a7c51abddf103b3cf890c91ecab21f4723","abstract_canon_sha256":"e46851678c41e99ebafefebcc8020a5eeedfc14a32cc660a3847e4c59d8e7e7a"},"schema_version":"1.0"},"canonical_sha256":"1a59a6fa4eb26dfd6e4ca9a690b4cfb44f213eac6fc77ad5a993b1ac1d159c4c","source":{"kind":"arxiv","id":"0806.0349","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.0349","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"arxiv_version","alias_value":"0806.0349v1","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0349","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"pith_short_12","alias_value":"DJM2N6SOWJW7","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"DJM2N6SOWJW723SM","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"DJM2N6SO","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:DJM2N6SOWJW723SMVGTJBNGPWR","target":"record","payload":{"canonical_record":{"source":{"id":"0806.0349","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-06-02T18:28:12Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a7a6aa4b59c2c75e53b45052601c88a7c51abddf103b3cf890c91ecab21f4723","abstract_canon_sha256":"e46851678c41e99ebafefebcc8020a5eeedfc14a32cc660a3847e4c59d8e7e7a"},"schema_version":"1.0"},"canonical_sha256":"1a59a6fa4eb26dfd6e4ca9a690b4cfb44f213eac6fc77ad5a993b1ac1d159c4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:06.121350Z","signature_b64":"cBmEppAnlI1ywyUT9thW5Un+2IsD1qeGbqXo9YsFljQEjXyxWh39zRqoKwXMML5ghTo4Df0vFBglhfytKeszDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a59a6fa4eb26dfd6e4ca9a690b4cfb44f213eac6fc77ad5a993b1ac1d159c4c","last_reissued_at":"2026-05-18T00:37:06.120540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:06.120540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.0349","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTmlymm89BqZv7D2gKJ2oPyMHv7/NQA9PAdBEtTMlryKegzGVet4P3OH/L9Iw0HaUc8LNBYNaxq4jHn7dxy3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:09:31.569283Z"},"content_sha256":"00424b4c356e25e1186f115352a151104ce1865a1df9400aa78a738603c625fe","schema_version":"1.0","event_id":"sha256:00424b4c356e25e1186f115352a151104ce1865a1df9400aa78a738603c625fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:DJM2N6SOWJW723SMVGTJBNGPWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Detlev Buchholz, Stephen J. Summers","submitted_at":"2008-06-02T18:28:12Z","abstract_excerpt":"Recently, Grosse and Lechner introduced a novel deformation procedure for non-interacting quantum field theories, giving rise to interesting examples of wedge-localized quantum fields with a non-trivial scattering matrix. In the present article we outline an extension of this procedure to the general framework of quantum field theory by introducing the concept of warped convolutions: given a theory, this construction provides wedge-localized operators which commute at spacelike distances, transform covariantly under the underlying representation of the Poincare group and admit a scattering the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0349","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFoY3oWgL3Gj8BHvybZcnw5vJyMjw3FJeO0oeEs3oXq8lhzNrXyN4gD9bQC1tQewBKOCR9eGkVSCgxfgsBQGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:09:31.569651Z"},"content_sha256":"6d54d3db22a5463453b1e98cee2865d086221b2d28f18f8eb5d848d714192a9a","schema_version":"1.0","event_id":"sha256:6d54d3db22a5463453b1e98cee2865d086221b2d28f18f8eb5d848d714192a9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJM2N6SOWJW723SMVGTJBNGPWR/bundle.json","state_url":"https://pith.science/pith/DJM2N6SOWJW723SMVGTJBNGPWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJM2N6SOWJW723SMVGTJBNGPWR/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":"2026-05-31T05:09:31Z","links":{"resolver":"https://pith.science/pith/DJM2N6SOWJW723SMVGTJBNGPWR","bundle":"https://pith.science/pith/DJM2N6SOWJW723SMVGTJBNGPWR/bundle.json","state":"https://pith.science/pith/DJM2N6SOWJW723SMVGTJBNGPWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJM2N6SOWJW723SMVGTJBNGPWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:DJM2N6SOWJW723SMVGTJBNGPWR","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":"e46851678c41e99ebafefebcc8020a5eeedfc14a32cc660a3847e4c59d8e7e7a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-06-02T18:28:12Z","title_canon_sha256":"a7a6aa4b59c2c75e53b45052601c88a7c51abddf103b3cf890c91ecab21f4723"},"schema_version":"1.0","source":{"id":"0806.0349","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.0349","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"arxiv_version","alias_value":"0806.0349v1","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0349","created_at":"2026-05-18T00:37:06Z"},{"alias_kind":"pith_short_12","alias_value":"DJM2N6SOWJW7","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"DJM2N6SOWJW723SM","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"DJM2N6SO","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:6d54d3db22a5463453b1e98cee2865d086221b2d28f18f8eb5d848d714192a9a","target":"graph","created_at":"2026-05-18T00:37:06Z","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":"Recently, Grosse and Lechner introduced a novel deformation procedure for non-interacting quantum field theories, giving rise to interesting examples of wedge-localized quantum fields with a non-trivial scattering matrix. In the present article we outline an extension of this procedure to the general framework of quantum field theory by introducing the concept of warped convolutions: given a theory, this construction provides wedge-localized operators which commute at spacelike distances, transform covariantly under the underlying representation of the Poincare group and admit a scattering the","authors_text":"Detlev Buchholz, Stephen J. Summers","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-06-02T18:28:12Z","title":"Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0349","kind":"arxiv","version":1},"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":"sha256:00424b4c356e25e1186f115352a151104ce1865a1df9400aa78a738603c625fe","target":"record","created_at":"2026-05-18T00:37:06Z","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":"e46851678c41e99ebafefebcc8020a5eeedfc14a32cc660a3847e4c59d8e7e7a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-06-02T18:28:12Z","title_canon_sha256":"a7a6aa4b59c2c75e53b45052601c88a7c51abddf103b3cf890c91ecab21f4723"},"schema_version":"1.0","source":{"id":"0806.0349","kind":"arxiv","version":1}},"canonical_sha256":"1a59a6fa4eb26dfd6e4ca9a690b4cfb44f213eac6fc77ad5a993b1ac1d159c4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a59a6fa4eb26dfd6e4ca9a690b4cfb44f213eac6fc77ad5a993b1ac1d159c4c","first_computed_at":"2026-05-18T00:37:06.120540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:06.120540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cBmEppAnlI1ywyUT9thW5Un+2IsD1qeGbqXo9YsFljQEjXyxWh39zRqoKwXMML5ghTo4Df0vFBglhfytKeszDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:06.121350Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.0349","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00424b4c356e25e1186f115352a151104ce1865a1df9400aa78a738603c625fe","sha256:6d54d3db22a5463453b1e98cee2865d086221b2d28f18f8eb5d848d714192a9a"],"state_sha256":"68e3f1751ca5388cfff4e2fcf1d764bdeae58f87a22e3f725ffe626da930829a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMRKOR6vmvbH0CYN1NPaAh5CyVtzNalxFk59cWxRPqIg1ck/8J6Ug481YJ/RhZUC9BQcU6ZglCY3Gi3Xo+afAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:09:31.572075Z","bundle_sha256":"c91a15f6c353089dfea5bca936d7bfac5ed84f88f2a7db41a9088cf75235f63f"}}