{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:K6XJSGQPRKSIKAVLHO4XSJDXTV","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":"936a9d5e14b451fa70bf4ae8e123778ee838d267b3d9cf452017a0b980cebf1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-01T07:35:36Z","title_canon_sha256":"8b059dcdf26a91a9306fcab42eafe681e28dc144f70007b2ccf88f3d8b323a0f"},"schema_version":"1.0","source":{"id":"1505.00109","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00109","created_at":"2026-05-18T01:37:44Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00109v2","created_at":"2026-05-18T01:37:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00109","created_at":"2026-05-18T01:37:44Z"},{"alias_kind":"pith_short_12","alias_value":"K6XJSGQPRKSI","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K6XJSGQPRKSIKAVL","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K6XJSGQP","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:d8af6ed1900d3b941d1d1abd6e6f6f5037b0a3318c629b09e64fd72f9c87578c","target":"graph","created_at":"2026-05-18T01:37:44Z","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":"If dark matter couples directly to a light force mediator, then it may form bound states in the early universe and in the non-relativistic environment of haloes today. In this work, we establish a field-theoretic framework for the computation of bound-state formation cross-sections, de-excitation and decay rates, in theories with long-range interactions. Using this formalism, we carry out specific computations for scalar particles interacting either via a light scalar or vector mediator. At low relative velocities of the interacting particles, the formation of bound states is enhanced by the S","authors_text":"Kalliopi Petraki, Marieke Postma, Michael Wiechers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-01T07:35:36Z","title":"Dark-matter bound states from Feynman diagrams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00109","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":"sha256:3aaa692fec07630dccbf4cd75009546fee2745c5a618686eb054bb5a713e7f80","target":"record","created_at":"2026-05-18T01:37:44Z","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":"936a9d5e14b451fa70bf4ae8e123778ee838d267b3d9cf452017a0b980cebf1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-01T07:35:36Z","title_canon_sha256":"8b059dcdf26a91a9306fcab42eafe681e28dc144f70007b2ccf88f3d8b323a0f"},"schema_version":"1.0","source":{"id":"1505.00109","kind":"arxiv","version":2}},"canonical_sha256":"57ae991a0f8aa48502ab3bb97924779d4d1dec91add72f2b6a5e669faefadcf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57ae991a0f8aa48502ab3bb97924779d4d1dec91add72f2b6a5e669faefadcf6","first_computed_at":"2026-05-18T01:37:44.251300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:44.251300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u7kqjRy9lVXq/RlZFLMAn9DHrEHnyumHBoqlGq6dFl+3l1vjbLYgV+AyHdEHUKkxPHsiRJ01nOMYyDp0qUb2DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:44.251978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00109","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3aaa692fec07630dccbf4cd75009546fee2745c5a618686eb054bb5a713e7f80","sha256:d8af6ed1900d3b941d1d1abd6e6f6f5037b0a3318c629b09e64fd72f9c87578c"],"state_sha256":"d48d0be87efa694d54b54f08cf2c1c1aafc7b9de29edb5e538bac598fabe9347"}