{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:CJLZJECRYOC7F3SO33AHCP5RPV","short_pith_number":"pith:CJLZJECR","schema_version":"1.0","canonical_sha256":"1257949051c385f2ee4edec0713fb17d558d387a311967c5f6a0518fe5d5ee3b","source":{"kind":"arxiv","id":"1211.1014","version":2},"attestation_state":"computed","paper":{"title":"$Z_3$ Scalar Singlet Dark Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"hep-ph","authors_text":"Alexander Pukhov, Genevi\\`eve B\\'elanger, Kristjan Kannike, Martti Raidal","submitted_at":"2012-11-05T21:00:01Z","abstract_excerpt":"We consider the minimal scalar singlet dark matter stabilised by a $Z_3$ symmetry. Due to the cubic term in the scalar potential, semi-annihilations, besides annihilations, contribute to the dark matter relic density. Unlike in the $Z_2$ case, the dark matter spin independent direct detection cross section is no more linked to the annihilation cross section. We study the extrema of the potential and show that a too large cubic term would break the $Z_3$ symmetry spontaneously, implying a lower bound on the direct detection cross section, and allowing the whole parameter space to be tested by X"},"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":"1211.1014","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-11-05T21:00:01Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"32e4eaa63b9859a6a95df3f2525e63f84192042d1e6336a123752f3aac48756f","abstract_canon_sha256":"013df97580758dca9836e6f497bcf461033095a47ac92085bc1a047a07478642"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:25.573338Z","signature_b64":"9k1XQ9HdGJ66l23bBtupfNsrgcMO17ZNKKcd/KvXjKBtb2ovDINAD8RVFKrpbWjv6/PuLZC087CPeg9QBtRxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1257949051c385f2ee4edec0713fb17d558d387a311967c5f6a0518fe5d5ee3b","last_reissued_at":"2026-05-18T01:53:25.572625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:25.572625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$Z_3$ Scalar Singlet Dark Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"hep-ph","authors_text":"Alexander Pukhov, Genevi\\`eve B\\'elanger, Kristjan Kannike, Martti Raidal","submitted_at":"2012-11-05T21:00:01Z","abstract_excerpt":"We consider the minimal scalar singlet dark matter stabilised by a $Z_3$ symmetry. Due to the cubic term in the scalar potential, semi-annihilations, besides annihilations, contribute to the dark matter relic density. Unlike in the $Z_2$ case, the dark matter spin independent direct detection cross section is no more linked to the annihilation cross section. We study the extrema of the potential and show that a too large cubic term would break the $Z_3$ symmetry spontaneously, implying a lower bound on the direct detection cross section, and allowing the whole parameter space to be tested by X"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1014","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.1014","created_at":"2026-05-18T01:53:25.572752+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.1014v2","created_at":"2026-05-18T01:53:25.572752+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1014","created_at":"2026-05-18T01:53:25.572752+00:00"},{"alias_kind":"pith_short_12","alias_value":"CJLZJECRYOC7","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"CJLZJECRYOC7F3SO","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"CJLZJECR","created_at":"2026-05-18T12:27:01.376967+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2601.07670","citing_title":"Tachyonic gravitational dark matter production after inflation","ref_index":131,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV","json":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV.json","graph_json":"https://pith.science/api/pith-number/CJLZJECRYOC7F3SO33AHCP5RPV/graph.json","events_json":"https://pith.science/api/pith-number/CJLZJECRYOC7F3SO33AHCP5RPV/events.json","paper":"https://pith.science/paper/CJLZJECR"},"agent_actions":{"view_html":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV","download_json":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV.json","view_paper":"https://pith.science/paper/CJLZJECR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.1014&json=true","fetch_graph":"https://pith.science/api/pith-number/CJLZJECRYOC7F3SO33AHCP5RPV/graph.json","fetch_events":"https://pith.science/api/pith-number/CJLZJECRYOC7F3SO33AHCP5RPV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV/action/storage_attestation","attest_author":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV/action/author_attestation","sign_citation":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV/action/citation_signature","submit_replication":"https://pith.science/pith/CJLZJECRYOC7F3SO33AHCP5RPV/action/replication_record"}},"created_at":"2026-05-18T01:53:25.572752+00:00","updated_at":"2026-05-18T01:53:25.572752+00:00"}