{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MGNTHLRJUT5O3QN6ZOLQ3EDBX4","short_pith_number":"pith:MGNTHLRJ","schema_version":"1.0","canonical_sha256":"619b33ae29a4faedc1becb970d9061bf34fe9a5b13ea1ff8088b6f511a2161e6","source":{"kind":"arxiv","id":"1102.4939","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic behavior in the scalar field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"V.E. Rochev","submitted_at":"2011-02-24T09:31:37Z","abstract_excerpt":"An asymptotic solution of the system of Schwinger-Dyson equations for four-dimensional Euclidean scalar field theory with interaction $\\frac{\\lambda}{2}(\\phi^*\\phi)^2$ is obtained. For $\\lambda>\\lambda_{cr}=16\\pi^2$ the two-particle amplitude has the pathology-free asymptotic behavior at large momenta. For $\\lambda<\\lambda_{cr}$ the amplitude possesses Landau-type singularity."},"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":"1102.4939","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-24T09:31:37Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"d110bd324dfa3f1d44c6215cc8c5d6886600545fcedae8031e406fb67a417f08","abstract_canon_sha256":"53e1fc2e6912be5e176dad6f4cee0457032a10c777dba1181b641120b67da245"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:05.571073Z","signature_b64":"8EVNsmxUF38hZTj7pUtG1onT0QEfraPqLFnuvQuskBrsbvpjKGc+OYQbNZJq/0ZS1HaWzCMzVz/YqCchH5NeAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"619b33ae29a4faedc1becb970d9061bf34fe9a5b13ea1ff8088b6f511a2161e6","last_reissued_at":"2026-05-18T02:03:05.570553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:05.570553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic behavior in the scalar field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"V.E. Rochev","submitted_at":"2011-02-24T09:31:37Z","abstract_excerpt":"An asymptotic solution of the system of Schwinger-Dyson equations for four-dimensional Euclidean scalar field theory with interaction $\\frac{\\lambda}{2}(\\phi^*\\phi)^2$ is obtained. For $\\lambda>\\lambda_{cr}=16\\pi^2$ the two-particle amplitude has the pathology-free asymptotic behavior at large momenta. For $\\lambda<\\lambda_{cr}$ the amplitude possesses Landau-type singularity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4939","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":"1102.4939","created_at":"2026-05-18T02:03:05.570638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.4939v2","created_at":"2026-05-18T02:03:05.570638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4939","created_at":"2026-05-18T02:03:05.570638+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGNTHLRJUT5O","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGNTHLRJUT5O3QN6","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGNTHLRJ","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4","json":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4.json","graph_json":"https://pith.science/api/pith-number/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/graph.json","events_json":"https://pith.science/api/pith-number/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/events.json","paper":"https://pith.science/paper/MGNTHLRJ"},"agent_actions":{"view_html":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4","download_json":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4.json","view_paper":"https://pith.science/paper/MGNTHLRJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.4939&json=true","fetch_graph":"https://pith.science/api/pith-number/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/graph.json","fetch_events":"https://pith.science/api/pith-number/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/action/storage_attestation","attest_author":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/action/author_attestation","sign_citation":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/action/citation_signature","submit_replication":"https://pith.science/pith/MGNTHLRJUT5O3QN6ZOLQ3EDBX4/action/replication_record"}},"created_at":"2026-05-18T02:03:05.570638+00:00","updated_at":"2026-05-18T02:03:05.570638+00:00"}