{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:XO6VUGP4ZVUV62J5G42INZYCPY","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":"fa63e887775442df03edd30633d7a3b8d09057929ba9c3d04353bc6932a73dfe","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-07-08T10:06:00Z","title_canon_sha256":"4abd626cefdb0222444d834151dc7441c1520943c6cbebd4168efb1df718f2e7"},"schema_version":"1.0","source":{"id":"hep-th/9307055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9307055","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9307055v1","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9307055","created_at":"2026-05-18T01:38:42Z"},{"alias_kind":"pith_short_12","alias_value":"XO6VUGP4ZVUV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"XO6VUGP4ZVUV62J5","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"XO6VUGP4","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:ce0edfb22177f26316debf5e5f39902b72d2e9732cac950f3ec7432bfb73f521","target":"graph","created_at":"2026-05-18T01:38:42Z","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":"To entirely determine the resulting functions of one-loop integrals it is necessary to find the correct analytic continuation to all relevant kinematical regions. We argue that this continuation procedure may be performed in a general and mathematical accurate way by using the ${\\cal R}$ function notation of these integrals. The two- and three-point cases are discussed explicitly in this manner.","authors_text":"D. Kreimer, J. Franzkowski, L. Bruecher","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-07-08T10:06:00Z","title":"Loop Integrals, R Functions and their Analytic Continuation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9307055","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:d7bbd62b1111201af28e58d7821152e7c0a7784c9fd82e815ee7bc2f4ec8a1c3","target":"record","created_at":"2026-05-18T01:38:42Z","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":"fa63e887775442df03edd30633d7a3b8d09057929ba9c3d04353bc6932a73dfe","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-07-08T10:06:00Z","title_canon_sha256":"4abd626cefdb0222444d834151dc7441c1520943c6cbebd4168efb1df718f2e7"},"schema_version":"1.0","source":{"id":"hep-th/9307055","kind":"arxiv","version":1}},"canonical_sha256":"bbbd5a19fccd695f693d373486e7027e23c2e6afcea368031e2c3eed274421aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbbd5a19fccd695f693d373486e7027e23c2e6afcea368031e2c3eed274421aa","first_computed_at":"2026-05-18T01:38:42.566554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:42.566554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GZNohNM3w57VrCIrmEWWIfJtOsYPgkh1DKTYh+k6rehNXms74PriEdmG4nqbKz0VYRnYeblIPcVrldPPO7/aBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:42.567060Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9307055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7bbd62b1111201af28e58d7821152e7c0a7784c9fd82e815ee7bc2f4ec8a1c3","sha256:ce0edfb22177f26316debf5e5f39902b72d2e9732cac950f3ec7432bfb73f521"],"state_sha256":"4998b7e90793c0d4a3965674954a2a8c7394f038e36f31bcae1ad7913496bb2a"}