{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QKMB7E5B2RW4MOJFLVNTNECX2F","short_pith_number":"pith:QKMB7E5B","canonical_record":{"source":{"id":"1706.06118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-06-19T18:01:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"aeb9ce2338a4ae8cab1aa3fe822d886d7ec0fd7798ceea9ac7b8bcf54f131dad","abstract_canon_sha256":"66702411fd43b51fd2d9855e79d4e9607f8af7e150ef0f54b1c4635cf966b2b1"},"schema_version":"1.0"},"canonical_sha256":"82981f93a1d46dc639255d5b369057d14def06a16dd8bdb4d7403329880603ab","source":{"kind":"arxiv","id":"1706.06118","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06118","created_at":"2026-05-18T00:35:41Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06118v2","created_at":"2026-05-18T00:35:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06118","created_at":"2026-05-18T00:35:41Z"},{"alias_kind":"pith_short_12","alias_value":"QKMB7E5B2RW4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QKMB7E5B2RW4MOJF","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QKMB7E5B","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QKMB7E5B2RW4MOJFLVNTNECX2F","target":"record","payload":{"canonical_record":{"source":{"id":"1706.06118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-06-19T18:01:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"aeb9ce2338a4ae8cab1aa3fe822d886d7ec0fd7798ceea9ac7b8bcf54f131dad","abstract_canon_sha256":"66702411fd43b51fd2d9855e79d4e9607f8af7e150ef0f54b1c4635cf966b2b1"},"schema_version":"1.0"},"canonical_sha256":"82981f93a1d46dc639255d5b369057d14def06a16dd8bdb4d7403329880603ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:41.111007Z","signature_b64":"G/Z4OOaoHh56HYj9nz20fFxKC4OTWbTrWQavmwwPNTw9R7BSrenkkNESWfxoCLUhYfD6RdhRqsBhiWcOQ6UDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82981f93a1d46dc639255d5b369057d14def06a16dd8bdb4d7403329880603ab","last_reissued_at":"2026-05-18T00:35:41.110307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:41.110307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.06118","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":"2026-05-18T00:35:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Kab5V+l/o5Rf1BqxPa6bTc/E9I0+vnDfQTo/rSMnEVXopONKmpoOMfb7avkz7MnUgXEyv/dIwm7BXyPbjH0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:24:05.536329Z"},"content_sha256":"807657acfb7a21b2127045b28c2116292a5b4416cc8cec5e1c283e49dda45f1b","schema_version":"1.0","event_id":"sha256:807657acfb7a21b2127045b28c2116292a5b4416cc8cec5e1c283e49dda45f1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QKMB7E5B2RW4MOJFLVNTNECX2F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-body Unitarity with Isobars Revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"nucl-th","authors_text":"A. Pilloni, A. Szczepaniak, B. Hu, M. Doring, M. Mai","submitted_at":"2017-06-19T18:01:10Z","abstract_excerpt":"The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. This property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06118","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":""},"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":"2026-05-18T00:35:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmqCzAwHqzppyIHn6vMvRY2eU5bKixj4pZl8Ek0krchqHp6LHzPUgAS32GGPS3RwrucLWDdlk4iNnqLEDTLiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:24:05.536983Z"},"content_sha256":"ba2ad708810d6d4d169f8bb80cfbc5f435b781e233ff58f6ef23a7b78be27b3b","schema_version":"1.0","event_id":"sha256:ba2ad708810d6d4d169f8bb80cfbc5f435b781e233ff58f6ef23a7b78be27b3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QKMB7E5B2RW4MOJFLVNTNECX2F/bundle.json","state_url":"https://pith.science/pith/QKMB7E5B2RW4MOJFLVNTNECX2F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QKMB7E5B2RW4MOJFLVNTNECX2F/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":"2026-05-26T07:24:05Z","links":{"resolver":"https://pith.science/pith/QKMB7E5B2RW4MOJFLVNTNECX2F","bundle":"https://pith.science/pith/QKMB7E5B2RW4MOJFLVNTNECX2F/bundle.json","state":"https://pith.science/pith/QKMB7E5B2RW4MOJFLVNTNECX2F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QKMB7E5B2RW4MOJFLVNTNECX2F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QKMB7E5B2RW4MOJFLVNTNECX2F","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":"66702411fd43b51fd2d9855e79d4e9607f8af7e150ef0f54b1c4635cf966b2b1","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-06-19T18:01:10Z","title_canon_sha256":"aeb9ce2338a4ae8cab1aa3fe822d886d7ec0fd7798ceea9ac7b8bcf54f131dad"},"schema_version":"1.0","source":{"id":"1706.06118","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06118","created_at":"2026-05-18T00:35:41Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06118v2","created_at":"2026-05-18T00:35:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06118","created_at":"2026-05-18T00:35:41Z"},{"alias_kind":"pith_short_12","alias_value":"QKMB7E5B2RW4","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QKMB7E5B2RW4MOJF","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QKMB7E5B","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:ba2ad708810d6d4d169f8bb80cfbc5f435b781e233ff58f6ef23a7b78be27b3b","target":"graph","created_at":"2026-05-18T00:35:41Z","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":"The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. This property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.","authors_text":"A. Pilloni, A. Szczepaniak, B. Hu, M. Doring, M. Mai","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-06-19T18:01:10Z","title":"Three-body Unitarity with Isobars Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06118","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":"sha256:807657acfb7a21b2127045b28c2116292a5b4416cc8cec5e1c283e49dda45f1b","target":"record","created_at":"2026-05-18T00:35:41Z","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":"66702411fd43b51fd2d9855e79d4e9607f8af7e150ef0f54b1c4635cf966b2b1","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2017-06-19T18:01:10Z","title_canon_sha256":"aeb9ce2338a4ae8cab1aa3fe822d886d7ec0fd7798ceea9ac7b8bcf54f131dad"},"schema_version":"1.0","source":{"id":"1706.06118","kind":"arxiv","version":2}},"canonical_sha256":"82981f93a1d46dc639255d5b369057d14def06a16dd8bdb4d7403329880603ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82981f93a1d46dc639255d5b369057d14def06a16dd8bdb4d7403329880603ab","first_computed_at":"2026-05-18T00:35:41.110307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:41.110307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G/Z4OOaoHh56HYj9nz20fFxKC4OTWbTrWQavmwwPNTw9R7BSrenkkNESWfxoCLUhYfD6RdhRqsBhiWcOQ6UDCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:41.111007Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.06118","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:807657acfb7a21b2127045b28c2116292a5b4416cc8cec5e1c283e49dda45f1b","sha256:ba2ad708810d6d4d169f8bb80cfbc5f435b781e233ff58f6ef23a7b78be27b3b"],"state_sha256":"3cb0b41c397807362a2886773baf89788e3fe22bb47eaf97a71fac3a92234ce4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0W7CxXJHRPs0QuO3vhEg24pmBT502x13De3iz/6WxfYKILt2UvknTZlafYHjK7x1ch/GBmfRZ7bKfPO7TdDVCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:24:05.540220Z","bundle_sha256":"ab150da2d5ef6454aa1c56ff7d3f0e45bf95de86c5031bd0ef9ce60850df4bc2"}}