{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HJDM5V2IBNKJINI6O4XXRE6AX5","short_pith_number":"pith:HJDM5V2I","canonical_record":{"source":{"id":"2201.09288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-01-23T15:10:11Z","cross_cats_sorted":[],"title_canon_sha256":"b653bb009f6f0f5732a84f609c7769e045ff8be8d182fe56f73f80858f7b2594","abstract_canon_sha256":"254048103303cde25e7ef8c87270a2b5683f0c206da88ddf324cfb683f4f5c33"},"schema_version":"1.0"},"canonical_sha256":"3a46ced7480b5494351e772f7893c0bf60392a5e884f2ec1d9e5cdf96b4b29a6","source":{"kind":"arxiv","id":"2201.09288","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.09288","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"arxiv_version","alias_value":"2201.09288v1","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.09288","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"pith_short_12","alias_value":"HJDM5V2IBNKJ","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"pith_short_16","alias_value":"HJDM5V2IBNKJINI6","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"pith_short_8","alias_value":"HJDM5V2I","created_at":"2026-07-05T04:22:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HJDM5V2IBNKJINI6O4XXRE6AX5","target":"record","payload":{"canonical_record":{"source":{"id":"2201.09288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-01-23T15:10:11Z","cross_cats_sorted":[],"title_canon_sha256":"b653bb009f6f0f5732a84f609c7769e045ff8be8d182fe56f73f80858f7b2594","abstract_canon_sha256":"254048103303cde25e7ef8c87270a2b5683f0c206da88ddf324cfb683f4f5c33"},"schema_version":"1.0"},"canonical_sha256":"3a46ced7480b5494351e772f7893c0bf60392a5e884f2ec1d9e5cdf96b4b29a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:22:02.609228Z","signature_b64":"cMB3JutrtNW49h/WKgmWhMdRaw0P0qdtFZ1pZ/AkJVKTFla1zgJEHZvYVdLYfHsjOSoESlNmwjCyJezJ/+NIBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a46ced7480b5494351e772f7893c0bf60392a5e884f2ec1d9e5cdf96b4b29a6","last_reissued_at":"2026-07-05T04:22:02.608748Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:22:02.608748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.09288","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":"2026-07-05T04:22:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VxC/BeeU/yBvVkUePJQkSiiMLiHRWEl+WBad4/rYymZZlhFlqsliabNK1utcapkg2aGvdmNz9qr1CoD00NrwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:08:17.459096Z"},"content_sha256":"4788a1d49150a08f730c06645eaa1689309f6973be8ba3260d2b9fe04b952e35","schema_version":"1.0","event_id":"sha256:4788a1d49150a08f730c06645eaa1689309f6973be8ba3260d2b9fe04b952e35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HJDM5V2IBNKJINI6O4XXRE6AX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The $\\beta$-function of supersymmetric theories from vacuum supergraphs: a three-loop example","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dmitry Kolupaev, Ivan Goriachuk, Konstantin Stepanyantz, Sergei Aleshin","submitted_at":"2022-01-23T15:10:11Z","abstract_excerpt":"We verify a method which allows to obtain the $\\beta$-function of supersymmetric theories regularized by higher covariant derivatives by calculating only specially modified vacuum supergraphs. With the help of this method for a general renormalizable ${\\cal N}=1$ supersymmetric gauge theory a part of the three-loop $\\beta$-function depending on the Yukawa couplings is constructed in the general $\\xi$-gauge. The result is written in the form of an integral of double total derivatives with respect to the loop momenta. It is demonstrated that all gauge dependent terms cancel each other in agreeme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.09288","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/2201.09288/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":"2026-07-05T04:22:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O1kfLe5ydUQzlcAca+xHJhq/+nFLDQ1BibHLyL9tElgKxX97W7k43XlgzFVdNxn4fMhIzSBT31mZchjBni1/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T11:08:17.459485Z"},"content_sha256":"c4afcc009685a11cad279c512baf0704df335072cd47c6faab999dcca56f23c6","schema_version":"1.0","event_id":"sha256:c4afcc009685a11cad279c512baf0704df335072cd47c6faab999dcca56f23c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJDM5V2IBNKJINI6O4XXRE6AX5/bundle.json","state_url":"https://pith.science/pith/HJDM5V2IBNKJINI6O4XXRE6AX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJDM5V2IBNKJINI6O4XXRE6AX5/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":"2026-07-07T11:08:17Z","links":{"resolver":"https://pith.science/pith/HJDM5V2IBNKJINI6O4XXRE6AX5","bundle":"https://pith.science/pith/HJDM5V2IBNKJINI6O4XXRE6AX5/bundle.json","state":"https://pith.science/pith/HJDM5V2IBNKJINI6O4XXRE6AX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJDM5V2IBNKJINI6O4XXRE6AX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HJDM5V2IBNKJINI6O4XXRE6AX5","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":"254048103303cde25e7ef8c87270a2b5683f0c206da88ddf324cfb683f4f5c33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-01-23T15:10:11Z","title_canon_sha256":"b653bb009f6f0f5732a84f609c7769e045ff8be8d182fe56f73f80858f7b2594"},"schema_version":"1.0","source":{"id":"2201.09288","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.09288","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"arxiv_version","alias_value":"2201.09288v1","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.09288","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"pith_short_12","alias_value":"HJDM5V2IBNKJ","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"pith_short_16","alias_value":"HJDM5V2IBNKJINI6","created_at":"2026-07-05T04:22:02Z"},{"alias_kind":"pith_short_8","alias_value":"HJDM5V2I","created_at":"2026-07-05T04:22:02Z"}],"graph_snapshots":[{"event_id":"sha256:c4afcc009685a11cad279c512baf0704df335072cd47c6faab999dcca56f23c6","target":"graph","created_at":"2026-07-05T04:22:02Z","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/2201.09288/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We verify a method which allows to obtain the $\\beta$-function of supersymmetric theories regularized by higher covariant derivatives by calculating only specially modified vacuum supergraphs. With the help of this method for a general renormalizable ${\\cal N}=1$ supersymmetric gauge theory a part of the three-loop $\\beta$-function depending on the Yukawa couplings is constructed in the general $\\xi$-gauge. The result is written in the form of an integral of double total derivatives with respect to the loop momenta. It is demonstrated that all gauge dependent terms cancel each other in agreeme","authors_text":"Dmitry Kolupaev, Ivan Goriachuk, Konstantin Stepanyantz, Sergei Aleshin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-01-23T15:10:11Z","title":"The $\\beta$-function of supersymmetric theories from vacuum supergraphs: a three-loop example"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.09288","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":"sha256:4788a1d49150a08f730c06645eaa1689309f6973be8ba3260d2b9fe04b952e35","target":"record","created_at":"2026-07-05T04:22:02Z","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":"254048103303cde25e7ef8c87270a2b5683f0c206da88ddf324cfb683f4f5c33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-01-23T15:10:11Z","title_canon_sha256":"b653bb009f6f0f5732a84f609c7769e045ff8be8d182fe56f73f80858f7b2594"},"schema_version":"1.0","source":{"id":"2201.09288","kind":"arxiv","version":1}},"canonical_sha256":"3a46ced7480b5494351e772f7893c0bf60392a5e884f2ec1d9e5cdf96b4b29a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a46ced7480b5494351e772f7893c0bf60392a5e884f2ec1d9e5cdf96b4b29a6","first_computed_at":"2026-07-05T04:22:02.608748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:22:02.608748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cMB3JutrtNW49h/WKgmWhMdRaw0P0qdtFZ1pZ/AkJVKTFla1zgJEHZvYVdLYfHsjOSoESlNmwjCyJezJ/+NIBw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:22:02.609228Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.09288","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4788a1d49150a08f730c06645eaa1689309f6973be8ba3260d2b9fe04b952e35","sha256:c4afcc009685a11cad279c512baf0704df335072cd47c6faab999dcca56f23c6"],"state_sha256":"524daf39c5f561f0eb6200b8102f40afff5c1ed9845d58e338c46288430fe39e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qgxlHjvxB9zmmPn8WsFGUSlawc3zqWR11ZVVTp5WI/MIvqeNv++EUjPBJVucKgRlsi4xm/chWFcKSfQnhUdfCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T11:08:17.461400Z","bundle_sha256":"e1b42ec8abefc0c53911959f1235cdbc22ea4f12711b68b3262da0e58e76d61c"}}