{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:THDZ3ID26T3I2CHEVZG7KCESZL","short_pith_number":"pith:THDZ3ID2","schema_version":"1.0","canonical_sha256":"99c79da07af4f68d08e4ae4df50892caf9f4dea3bea2cfd188fdf762ca312acb","source":{"kind":"arxiv","id":"1506.07475","version":3},"attestation_state":"computed","paper":{"title":"Relativistic and nonrelativistic annihilation of dark matter: a sanity check using an effective field theory approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"hep-ph","authors_text":"Mirco Cannoni","submitted_at":"2015-06-24T17:18:09Z","abstract_excerpt":"We find an exact formula for the thermally averaged cross section times the relative velocity $\\langle \\sigma v_{\\text{rel}} \\rangle$ with relativistic Maxwell-Boltzmann statistics. The formula is valid in the effective field theory approach when the masses of the annihilation products can be neglected compared with the dark matter mass and cut-off scale. The expansion at $x=m/T\\gg 1$ directly gives the nonrelativistic limit of $\\langle \\sigma v_{\\text{rel}}\\rangle$ which is usually used to compute the relic abundance for heavy particles that decouple when they are nonrelativistic. We compare "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.07475","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-24T17:18:09Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-th"],"title_canon_sha256":"147aae1741fbcffccb72426ec0c61307f848e114da5baca420dab62f558b02be","abstract_canon_sha256":"97a1f388bfb8f5917f0b39f8fd6ce0b8a1b579e044203c853124b4fc753a414a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:52.600819Z","signature_b64":"A2711bvan8aeBM2IyL+1rRVZYPM//ltcfIp9k5V36JsnNxGzTcwvNpk3PZdUz9QGHhbNZtwg+fdYXRTv5d3WCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99c79da07af4f68d08e4ae4df50892caf9f4dea3bea2cfd188fdf762ca312acb","last_reissued_at":"2026-05-18T01:18:52.600241Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:52.600241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relativistic and nonrelativistic annihilation of dark matter: a sanity check using an effective field theory approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-th"],"primary_cat":"hep-ph","authors_text":"Mirco Cannoni","submitted_at":"2015-06-24T17:18:09Z","abstract_excerpt":"We find an exact formula for the thermally averaged cross section times the relative velocity $\\langle \\sigma v_{\\text{rel}} \\rangle$ with relativistic Maxwell-Boltzmann statistics. The formula is valid in the effective field theory approach when the masses of the annihilation products can be neglected compared with the dark matter mass and cut-off scale. The expansion at $x=m/T\\gg 1$ directly gives the nonrelativistic limit of $\\langle \\sigma v_{\\text{rel}}\\rangle$ which is usually used to compute the relic abundance for heavy particles that decouple when they are nonrelativistic. We compare "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07475","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.07475","created_at":"2026-05-18T01:18:52.600336+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07475v3","created_at":"2026-05-18T01:18:52.600336+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07475","created_at":"2026-05-18T01:18:52.600336+00:00"},{"alias_kind":"pith_short_12","alias_value":"THDZ3ID26T3I","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"THDZ3ID26T3I2CHE","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"THDZ3ID2","created_at":"2026-05-18T12:29:42.218222+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.19636","citing_title":"Heavy neutral bosons and dark matter in the 3-3-1 model with axionlike particle","ref_index":54,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL","json":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL.json","graph_json":"https://pith.science/api/pith-number/THDZ3ID26T3I2CHEVZG7KCESZL/graph.json","events_json":"https://pith.science/api/pith-number/THDZ3ID26T3I2CHEVZG7KCESZL/events.json","paper":"https://pith.science/paper/THDZ3ID2"},"agent_actions":{"view_html":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL","download_json":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL.json","view_paper":"https://pith.science/paper/THDZ3ID2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07475&json=true","fetch_graph":"https://pith.science/api/pith-number/THDZ3ID26T3I2CHEVZG7KCESZL/graph.json","fetch_events":"https://pith.science/api/pith-number/THDZ3ID26T3I2CHEVZG7KCESZL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL/action/storage_attestation","attest_author":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL/action/author_attestation","sign_citation":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL/action/citation_signature","submit_replication":"https://pith.science/pith/THDZ3ID26T3I2CHEVZG7KCESZL/action/replication_record"}},"created_at":"2026-05-18T01:18:52.600336+00:00","updated_at":"2026-05-18T01:18:52.600336+00:00"}