{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:5RKCDJKFQBDBOZ4JKX33JFCKDK","short_pith_number":"pith:5RKCDJKF","schema_version":"1.0","canonical_sha256":"ec5421a545804617678955f7b4944a1abc1208d4423ed9ab40df7da2e93ff101","source":{"kind":"arxiv","id":"2504.12044","version":2},"attestation_state":"computed","paper":{"title":"Anatomy of the simplest renormalon","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marcos Marino","submitted_at":"2025-04-16T13:00:45Z","abstract_excerpt":"Perhaps the simplest IR renormalon occurs in the ground state energy of a superrenormalizable model, the scalar $O(N)$ theory in two dimensions with a quartic potential and negative squared mass. We show that this renormalon, found previously in perturbation theory at next-to-leading order (NLO) in the $1/N$ expansion, gives indeed the correct asymptotic expansion of the exact large $N$ solution of the model, and we determine explicitly the complete trans-series of non-perturbative corrections to the perturbative result. We also use this framework to study the $O(N)$-invariant two-point functi"},"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":"2504.12044","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-16T13:00:45Z","cross_cats_sorted":[],"title_canon_sha256":"7cc027f166ddff056ed99387ce2db9dabdf34c2245547f021620b9fa36b125dd","abstract_canon_sha256":"e5b049f874a5b70eb36f2e97eb263bdbda59ae7f95058b4f08b1d20dc4a5b701"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:03.524476Z","signature_b64":"XV2Mninc/qnmyffZZD0hzi+fxJMtr3B7FkE2UjIuX38HJA78V18CLYen19zyM2AzjwzkcL6qUY+UI4Ix3UFhAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec5421a545804617678955f7b4944a1abc1208d4423ed9ab40df7da2e93ff101","last_reissued_at":"2026-05-25T02:01:03.523925Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:03.523925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anatomy of the simplest renormalon","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marcos Marino","submitted_at":"2025-04-16T13:00:45Z","abstract_excerpt":"Perhaps the simplest IR renormalon occurs in the ground state energy of a superrenormalizable model, the scalar $O(N)$ theory in two dimensions with a quartic potential and negative squared mass. We show that this renormalon, found previously in perturbation theory at next-to-leading order (NLO) in the $1/N$ expansion, gives indeed the correct asymptotic expansion of the exact large $N$ solution of the model, and we determine explicitly the complete trans-series of non-perturbative corrections to the perturbative result. We also use this framework to study the $O(N)$-invariant two-point functi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.12044","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.12044/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2504.12044","created_at":"2026-05-25T02:01:03.523991+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.12044v2","created_at":"2026-05-25T02:01:03.523991+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.12044","created_at":"2026-05-25T02:01:03.523991+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RKCDJKFQBDB","created_at":"2026-05-25T02:01:03.523991+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RKCDJKFQBDBOZ4J","created_at":"2026-05-25T02:01:03.523991+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RKCDJKF","created_at":"2026-05-25T02:01:03.523991+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2507.02605","citing_title":"Trans-series from condensates in the non-linear sigma model","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2605.05307","citing_title":"Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model","ref_index":67,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK","json":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK.json","graph_json":"https://pith.science/api/pith-number/5RKCDJKFQBDBOZ4JKX33JFCKDK/graph.json","events_json":"https://pith.science/api/pith-number/5RKCDJKFQBDBOZ4JKX33JFCKDK/events.json","paper":"https://pith.science/paper/5RKCDJKF"},"agent_actions":{"view_html":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK","download_json":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK.json","view_paper":"https://pith.science/paper/5RKCDJKF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.12044&json=true","fetch_graph":"https://pith.science/api/pith-number/5RKCDJKFQBDBOZ4JKX33JFCKDK/graph.json","fetch_events":"https://pith.science/api/pith-number/5RKCDJKFQBDBOZ4JKX33JFCKDK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK/action/storage_attestation","attest_author":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK/action/author_attestation","sign_citation":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK/action/citation_signature","submit_replication":"https://pith.science/pith/5RKCDJKFQBDBOZ4JKX33JFCKDK/action/replication_record"}},"created_at":"2026-05-25T02:01:03.523991+00:00","updated_at":"2026-05-25T02:01:03.523991+00:00"}