{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6EF4G4DNOQ5MHU6XFSZSUXGQVH","short_pith_number":"pith:6EF4G4DN","canonical_record":{"source":{"id":"2304.00624","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-04-02T20:49:41Z","cross_cats_sorted":[],"title_canon_sha256":"c8ff0a13b3af08407a2b12f6a9a37f5a7d6d8a3afee5906a12e5837252cd1d02","abstract_canon_sha256":"f3530d3c5570be2c9164d31953c9bd9b892f36dcca3efb53cd4e1f34146bac51"},"schema_version":"1.0"},"canonical_sha256":"f10bc3706d743ac3d3d72cb32a5cd0a9f6dfe85d27f6db82980752d2acff0268","source":{"kind":"arxiv","id":"2304.00624","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.00624","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"arxiv_version","alias_value":"2304.00624v2","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.00624","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"pith_short_12","alias_value":"6EF4G4DNOQ5M","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"pith_short_16","alias_value":"6EF4G4DNOQ5MHU6X","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"pith_short_8","alias_value":"6EF4G4DN","created_at":"2026-07-05T06:37:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6EF4G4DNOQ5MHU6XFSZSUXGQVH","target":"record","payload":{"canonical_record":{"source":{"id":"2304.00624","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-04-02T20:49:41Z","cross_cats_sorted":[],"title_canon_sha256":"c8ff0a13b3af08407a2b12f6a9a37f5a7d6d8a3afee5906a12e5837252cd1d02","abstract_canon_sha256":"f3530d3c5570be2c9164d31953c9bd9b892f36dcca3efb53cd4e1f34146bac51"},"schema_version":"1.0"},"canonical_sha256":"f10bc3706d743ac3d3d72cb32a5cd0a9f6dfe85d27f6db82980752d2acff0268","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:37:13.408775Z","signature_b64":"EseIkMdRQn/yCaVxld5JQBaAWu/N6XdpA5ZitUttTku6J+HfYDKv6MbwD6NCli16TqN80LR8wsMsAYIrvQtaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f10bc3706d743ac3d3d72cb32a5cd0a9f6dfe85d27f6db82980752d2acff0268","last_reissued_at":"2026-07-05T06:37:13.408333Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:37:13.408333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.00624","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":"2026-07-05T06:37:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e2lJiD1909B6EpXeoXazhIdcoKH8k21trk6chVDldoqe8L4EH9dwAbR3nhSNUKJwYUFJOBjFTYbWFaTXhxJQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:59:28.224039Z"},"content_sha256":"10c041df9834732d93be23e971a09939474f4a82eba862d3db1271fc0e5ca469","schema_version":"1.0","event_id":"sha256:10c041df9834732d93be23e971a09939474f4a82eba862d3db1271fc0e5ca469"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6EF4G4DNOQ5MHU6XFSZSUXGQVH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Banana integrals in configuration space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Henri Epstein, Sergio Luigi Cacciatori, Ugo Moschella","submitted_at":"2023-04-02T20:49:41Z","abstract_excerpt":"We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need to resort to differential equations, and we include the analytic extension of the diagram in the space of complex masses. We also determine explicitly the $\\varepsilon$ expansion of the two loop banana integrals, for $d=j-2\\varepsilon$, $j=2,3,4$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.00624","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2304.00624/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":"2026-07-05T06:37:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Su8Mu2mnPrPs69bUoGgUh2KrmBcsFhrq6QHK9iKJDZDyK+9Pk3Z/By3y08+Belu3WFI9zIPOWgVYZyTmUEUHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:59:28.224412Z"},"content_sha256":"068261d088e572fdb8ec3ee78b268221561cfc3cfa8a4ebc031d8bb83353949c","schema_version":"1.0","event_id":"sha256:068261d088e572fdb8ec3ee78b268221561cfc3cfa8a4ebc031d8bb83353949c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH/bundle.json","state_url":"https://pith.science/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH/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":"2026-08-04T11:59:28Z","links":{"resolver":"https://pith.science/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH","bundle":"https://pith.science/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH/bundle.json","state":"https://pith.science/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EF4G4DNOQ5MHU6XFSZSUXGQVH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6EF4G4DNOQ5MHU6XFSZSUXGQVH","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":"f3530d3c5570be2c9164d31953c9bd9b892f36dcca3efb53cd4e1f34146bac51","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-04-02T20:49:41Z","title_canon_sha256":"c8ff0a13b3af08407a2b12f6a9a37f5a7d6d8a3afee5906a12e5837252cd1d02"},"schema_version":"1.0","source":{"id":"2304.00624","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.00624","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"arxiv_version","alias_value":"2304.00624v2","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.00624","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"pith_short_12","alias_value":"6EF4G4DNOQ5M","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"pith_short_16","alias_value":"6EF4G4DNOQ5MHU6X","created_at":"2026-07-05T06:37:13Z"},{"alias_kind":"pith_short_8","alias_value":"6EF4G4DN","created_at":"2026-07-05T06:37:13Z"}],"graph_snapshots":[{"event_id":"sha256:068261d088e572fdb8ec3ee78b268221561cfc3cfa8a4ebc031d8bb83353949c","target":"graph","created_at":"2026-07-05T06:37:13Z","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/2304.00624/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need to resort to differential equations, and we include the analytic extension of the diagram in the space of complex masses. We also determine explicitly the $\\varepsilon$ expansion of the two loop banana integrals, for $d=j-2\\varepsilon$, $j=2,3,4$.","authors_text":"Henri Epstein, Sergio Luigi Cacciatori, Ugo Moschella","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-04-02T20:49:41Z","title":"Banana integrals in configuration space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.00624","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":"sha256:10c041df9834732d93be23e971a09939474f4a82eba862d3db1271fc0e5ca469","target":"record","created_at":"2026-07-05T06:37:13Z","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":"f3530d3c5570be2c9164d31953c9bd9b892f36dcca3efb53cd4e1f34146bac51","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-04-02T20:49:41Z","title_canon_sha256":"c8ff0a13b3af08407a2b12f6a9a37f5a7d6d8a3afee5906a12e5837252cd1d02"},"schema_version":"1.0","source":{"id":"2304.00624","kind":"arxiv","version":2}},"canonical_sha256":"f10bc3706d743ac3d3d72cb32a5cd0a9f6dfe85d27f6db82980752d2acff0268","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f10bc3706d743ac3d3d72cb32a5cd0a9f6dfe85d27f6db82980752d2acff0268","first_computed_at":"2026-07-05T06:37:13.408333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:13.408333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EseIkMdRQn/yCaVxld5JQBaAWu/N6XdpA5ZitUttTku6J+HfYDKv6MbwD6NCli16TqN80LR8wsMsAYIrvQtaAg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:13.408775Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.00624","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10c041df9834732d93be23e971a09939474f4a82eba862d3db1271fc0e5ca469","sha256:068261d088e572fdb8ec3ee78b268221561cfc3cfa8a4ebc031d8bb83353949c"],"state_sha256":"f499d5a7361a1d68723b32fc79135fd3ddb359c2a2dd6fa360701380ac6c084a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ynnjBerLUkJuOg+0bWhL2NzMuaeSOT7X7VNeySLhPIn3Vn50xyEB1sdzGBBeisn4ml4vjoEIXkNtmtkX6vGACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:59:28.227120Z","bundle_sha256":"412156576c3e1231d91c9e88ab1b2364834dd343abae26f01e2246944bd8e91f"}}