{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2YCOVHRLQZB2R6EORVZOYUJ2XI","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":"05616d799152cf41ac3df71d231408249ccde329ffe427dd2406819bb6886644","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-05T17:56:56Z","title_canon_sha256":"b4d1cfa5739c0b5eea10719e84c05b2c165af43f692a035085c08d83ccc3b93c"},"schema_version":"1.0","source":{"id":"1806.01842","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01842","created_at":"2026-07-05T00:36:14Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01842v2","created_at":"2026-07-05T00:36:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01842","created_at":"2026-07-05T00:36:14Z"},{"alias_kind":"pith_short_12","alias_value":"2YCOVHRLQZB2","created_at":"2026-07-05T00:36:14Z"},{"alias_kind":"pith_short_16","alias_value":"2YCOVHRLQZB2R6EO","created_at":"2026-07-05T00:36:14Z"},{"alias_kind":"pith_short_8","alias_value":"2YCOVHRL","created_at":"2026-07-05T00:36:14Z"}],"graph_snapshots":[{"event_id":"sha256:9994191d0c40d212e155e40c623975851f41cfa380d1171dcd368e6198a386ee","target":"graph","created_at":"2026-07-05T00:36:14Z","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/1806.01842/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We recently proposed the Halohedron to be the 1-loop Amplituhedron for planar $\\phi^3$ theory. Here we prove this claim by showing how it is possible to extract the integrand for the partial amplitude $m^1_n(1,\\dots,n|1,\\dots,n)$ from the canonical form of an Halohedron which lives in an abstract space. This space is just a step away from ordinary kinematical space at 1-loop, because it is composed by abstract variables associated to propagators of 1-loop Feynman diagrams. Such variables, however, are unbound from momentum conservation relations that would give problems such as double poles. A","authors_text":"Giulio Salvatori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-05T17:56:56Z","title":"1-loop Amplitudes from the Halohedron"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01842","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":"sha256:22a8c072f95f7dcf4a41b0135d6c9446bc73532aef3bbc23a904533aa569461e","target":"record","created_at":"2026-07-05T00:36:14Z","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":"05616d799152cf41ac3df71d231408249ccde329ffe427dd2406819bb6886644","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-05T17:56:56Z","title_canon_sha256":"b4d1cfa5739c0b5eea10719e84c05b2c165af43f692a035085c08d83ccc3b93c"},"schema_version":"1.0","source":{"id":"1806.01842","kind":"arxiv","version":2}},"canonical_sha256":"d604ea9e2b8643a8f88e8d72ec513aba0d4330f20d8e5a2318fa2e4d28ef994e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d604ea9e2b8643a8f88e8d72ec513aba0d4330f20d8e5a2318fa2e4d28ef994e","first_computed_at":"2026-07-05T00:36:14.462278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:36:14.462278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3BnW79oQNrlHxoyxXsSQz2QwU/0Itzn8a7x1ybrwe0PtZy1Rs8UrzGYUsYenWtFY38zfhgAhYy0Ka+mEiGp8Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:36:14.462771Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01842","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22a8c072f95f7dcf4a41b0135d6c9446bc73532aef3bbc23a904533aa569461e","sha256:9994191d0c40d212e155e40c623975851f41cfa380d1171dcd368e6198a386ee"],"state_sha256":"70c4bea07b95f0cac708e8cdf562348d52dc00aac1161dc73c2268cb0cb03772"}