{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:2RR4HJIB2VUJ7AZRKHPKRS3G2A","short_pith_number":"pith:2RR4HJIB","canonical_record":{"source":{"id":"2112.02302","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-12-04T10:36:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"31a7ea8d016fd7fa6bd719c06bf214ad2ee47fef72ee4a51f54ad14847a1262c","abstract_canon_sha256":"13b2d4f1c2e15885a2cbe762e809304ac881a8d0441f184dcde94de4ac6fdb7b"},"schema_version":"1.0"},"canonical_sha256":"d463c3a501d5689f833151dea8cb66d021cfb987f099335d2d18510b8bdd92dc","source":{"kind":"arxiv","id":"2112.02302","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.02302","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"arxiv_version","alias_value":"2112.02302v1","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.02302","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"pith_short_12","alias_value":"2RR4HJIB2VUJ","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"pith_short_16","alias_value":"2RR4HJIB2VUJ7AZR","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"pith_short_8","alias_value":"2RR4HJIB","created_at":"2026-07-05T04:35:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:2RR4HJIB2VUJ7AZRKHPKRS3G2A","target":"record","payload":{"canonical_record":{"source":{"id":"2112.02302","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-12-04T10:36:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"31a7ea8d016fd7fa6bd719c06bf214ad2ee47fef72ee4a51f54ad14847a1262c","abstract_canon_sha256":"13b2d4f1c2e15885a2cbe762e809304ac881a8d0441f184dcde94de4ac6fdb7b"},"schema_version":"1.0"},"canonical_sha256":"d463c3a501d5689f833151dea8cb66d021cfb987f099335d2d18510b8bdd92dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:35:40.422973Z","signature_b64":"eKzHHf9aO5esxRasR7m91oah2vHjR/9gWprnLx/0FG1//OOV0tW8ZWrM3QQbbmeI/BoW+Aow2SR9q2pZjWisAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d463c3a501d5689f833151dea8cb66d021cfb987f099335d2d18510b8bdd92dc","last_reissued_at":"2026-07-05T04:35:40.422530Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:35:40.422530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2112.02302","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":"2026-07-05T04:35:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bkEP3B0RoZQPmLaG1I8isfPPuZ+sQC/VzLHViHwoIJdvZTc+U4+yB4TaTfQRaKEhnBsHaFT/S7OOf55u+MljDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:10:09.133511Z"},"content_sha256":"95a3a4737fab2e770bb6e44c21f3e415441729b37e9669ab92c810b9fc32eb2c","schema_version":"1.0","event_id":"sha256:95a3a4737fab2e770bb6e44c21f3e415441729b37e9669ab92c810b9fc32eb2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:2RR4HJIB2VUJ7AZRKHPKRS3G2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Four-fermion operators at dimension 6: dispersion relations and UV completions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Aleksandr Azatov, Amartya Harsh Singh, Diptimoy Ghosh","submitted_at":"2021-12-04T10:36:01Z","abstract_excerpt":"A major task in phenomenology today is constraining the parameter space of SMEFT and constructing models of fundamental physics that the SM derives from. To this effect, we report an exhaustive list of sum rules for 4-fermion operators of dimension 6, connecting low energy Wilson coefficients to cross-sections in the UV. Unlike their dimension 8 counterparts which are amenable to a positivity bound, the discussion here is more involved due to the weaker convergence and indefinite signs of the dispersion integrals. We illustrate this by providing examples with weakly coupled UV completions lead"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.02302","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/2112.02302/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:35:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oPtUssEdZ4xF40KJ2fQPdBjbVcqlDd87pXxb4NJ/7w1Q2mZBSmee7hhlLzaf+eKbXSbXkVnHDzdtqnlZuTSXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T09:10:09.134430Z"},"content_sha256":"64c1d33c40c274de33960f5ab9849b74d4f01f0c9fa9b04e08c4dfb0b33e1392","schema_version":"1.0","event_id":"sha256:64c1d33c40c274de33960f5ab9849b74d4f01f0c9fa9b04e08c4dfb0b33e1392"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A/bundle.json","state_url":"https://pith.science/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A/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":"2026-08-17T09:10:09Z","links":{"resolver":"https://pith.science/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A","bundle":"https://pith.science/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A/bundle.json","state":"https://pith.science/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2RR4HJIB2VUJ7AZRKHPKRS3G2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:2RR4HJIB2VUJ7AZRKHPKRS3G2A","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":"13b2d4f1c2e15885a2cbe762e809304ac881a8d0441f184dcde94de4ac6fdb7b","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-12-04T10:36:01Z","title_canon_sha256":"31a7ea8d016fd7fa6bd719c06bf214ad2ee47fef72ee4a51f54ad14847a1262c"},"schema_version":"1.0","source":{"id":"2112.02302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.02302","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"arxiv_version","alias_value":"2112.02302v1","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.02302","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"pith_short_12","alias_value":"2RR4HJIB2VUJ","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"pith_short_16","alias_value":"2RR4HJIB2VUJ7AZR","created_at":"2026-07-05T04:35:40Z"},{"alias_kind":"pith_short_8","alias_value":"2RR4HJIB","created_at":"2026-07-05T04:35:40Z"}],"graph_snapshots":[{"event_id":"sha256:64c1d33c40c274de33960f5ab9849b74d4f01f0c9fa9b04e08c4dfb0b33e1392","target":"graph","created_at":"2026-07-05T04:35:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.02302/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A major task in phenomenology today is constraining the parameter space of SMEFT and constructing models of fundamental physics that the SM derives from. To this effect, we report an exhaustive list of sum rules for 4-fermion operators of dimension 6, connecting low energy Wilson coefficients to cross-sections in the UV. Unlike their dimension 8 counterparts which are amenable to a positivity bound, the discussion here is more involved due to the weaker convergence and indefinite signs of the dispersion integrals. We illustrate this by providing examples with weakly coupled UV completions lead","authors_text":"Aleksandr Azatov, Amartya Harsh Singh, Diptimoy Ghosh","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-12-04T10:36:01Z","title":"Four-fermion operators at dimension 6: dispersion relations and UV completions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.02302","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":"sha256:95a3a4737fab2e770bb6e44c21f3e415441729b37e9669ab92c810b9fc32eb2c","target":"record","created_at":"2026-07-05T04:35:40Z","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":"13b2d4f1c2e15885a2cbe762e809304ac881a8d0441f184dcde94de4ac6fdb7b","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-12-04T10:36:01Z","title_canon_sha256":"31a7ea8d016fd7fa6bd719c06bf214ad2ee47fef72ee4a51f54ad14847a1262c"},"schema_version":"1.0","source":{"id":"2112.02302","kind":"arxiv","version":1}},"canonical_sha256":"d463c3a501d5689f833151dea8cb66d021cfb987f099335d2d18510b8bdd92dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d463c3a501d5689f833151dea8cb66d021cfb987f099335d2d18510b8bdd92dc","first_computed_at":"2026-07-05T04:35:40.422530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:35:40.422530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eKzHHf9aO5esxRasR7m91oah2vHjR/9gWprnLx/0FG1//OOV0tW8ZWrM3QQbbmeI/BoW+Aow2SR9q2pZjWisAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:35:40.422973Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.02302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a3a4737fab2e770bb6e44c21f3e415441729b37e9669ab92c810b9fc32eb2c","sha256:64c1d33c40c274de33960f5ab9849b74d4f01f0c9fa9b04e08c4dfb0b33e1392"],"state_sha256":"431ed0c0595acb65b7c71c5c3523a1c0bc11a48cfbacbf64b6d8ce8f7499c931"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKPYPRM3Y/jdHzTt9SZ1puKQDN+/6Rkc1XlX/9xT+3H9rAvgOv7zrpmPHNolBtY21QHrG5TRRHfa2YVK/0cSDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T09:10:09.140709Z","bundle_sha256":"61d406a53641ac729fd7271c3e8d799e823e7a3fe16eabeec032d3cfe7b467ed"}}