{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AZXNZVHYUTT7TBCRF5ZJHCIHMW","short_pith_number":"pith:AZXNZVHY","canonical_record":{"source":{"id":"1302.6059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-25T11:42:12Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"fe59fe12f17f83ad31ceada0d27a8a3ad2b7f50c0bd6f9fb82ed0a58dea83773","abstract_canon_sha256":"0c7be8f71971cf548d158b59da581412f85c7c6a04802490e5a1add216339ff4"},"schema_version":"1.0"},"canonical_sha256":"066edcd4f8a4e7f984512f72938907659a9e0c90d5c0c0229782d0e2ff7d19b1","source":{"kind":"arxiv","id":"1302.6059","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6059","created_at":"2026-05-18T03:31:06Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6059v2","created_at":"2026-05-18T03:31:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6059","created_at":"2026-05-18T03:31:06Z"},{"alias_kind":"pith_short_12","alias_value":"AZXNZVHYUTT7","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AZXNZVHYUTT7TBCR","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AZXNZVHY","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AZXNZVHYUTT7TBCRF5ZJHCIHMW","target":"record","payload":{"canonical_record":{"source":{"id":"1302.6059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-25T11:42:12Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"fe59fe12f17f83ad31ceada0d27a8a3ad2b7f50c0bd6f9fb82ed0a58dea83773","abstract_canon_sha256":"0c7be8f71971cf548d158b59da581412f85c7c6a04802490e5a1add216339ff4"},"schema_version":"1.0"},"canonical_sha256":"066edcd4f8a4e7f984512f72938907659a9e0c90d5c0c0229782d0e2ff7d19b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:06.188849Z","signature_b64":"p0cH45HZZxihPVxMEUmnKdRUMDzlrKfIbKZC0gWjy9QeJ8APXd83xD1GU9/jQzXB9JXVLSq7GiYJSYayxcKUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"066edcd4f8a4e7f984512f72938907659a9e0c90d5c0c0229782d0e2ff7d19b1","last_reissued_at":"2026-05-18T03:31:06.188078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:06.188078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.6059","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"go+ctKkxzYujQYFks+2c24WClYAw6kO6vYaYl/Qawwvv4YVXXajKr4QwfXl7r4A+GqFkpOYBCzpru8igZIyhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:34:49.161990Z"},"content_sha256":"80f3566de560ecc1a16b93d71a9b94752c94daa9f3dbebee767c92a7f21e3585","schema_version":"1.0","event_id":"sha256:80f3566de560ecc1a16b93d71a9b94752c94daa9f3dbebee767c92a7f21e3585"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AZXNZVHYUTT7TBCRF5ZJHCIHMW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic form of the effective potential in the large N limit of a real scalar theory in four dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Hidenori Sonoda","submitted_at":"2013-02-25T11:42:12Z","abstract_excerpt":"We give the large N limit of the effective potential for the O(N) linear sigma model in four dimensions in terms of the Lambert W function. The effective potential is fully consistent with the renormalization group, and it admits an asymptotic expansion in powers of a small positive coupling parameter. Careful consideration of the UV cutoff present in the model validates the physics of the large N limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6059","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:31:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/4ePtSccQ3FQYbwxgYGSfFsiqx/rDAAIvlxjfl8FTWzgG2zL2oIcwJ710Xg/DvHSxtGIlD1ET6yI67uAdv9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:34:49.162670Z"},"content_sha256":"69395fb09b28cf5df3fbcda3615c3dc2dc49e8d52df01f7de51d755f4c1adb2a","schema_version":"1.0","event_id":"sha256:69395fb09b28cf5df3fbcda3615c3dc2dc49e8d52df01f7de51d755f4c1adb2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW/bundle.json","state_url":"https://pith.science/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T00:34:49Z","links":{"resolver":"https://pith.science/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW","bundle":"https://pith.science/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW/bundle.json","state":"https://pith.science/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZXNZVHYUTT7TBCRF5ZJHCIHMW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AZXNZVHYUTT7TBCRF5ZJHCIHMW","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":"0c7be8f71971cf548d158b59da581412f85c7c6a04802490e5a1add216339ff4","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-25T11:42:12Z","title_canon_sha256":"fe59fe12f17f83ad31ceada0d27a8a3ad2b7f50c0bd6f9fb82ed0a58dea83773"},"schema_version":"1.0","source":{"id":"1302.6059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6059","created_at":"2026-05-18T03:31:06Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6059v2","created_at":"2026-05-18T03:31:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6059","created_at":"2026-05-18T03:31:06Z"},{"alias_kind":"pith_short_12","alias_value":"AZXNZVHYUTT7","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AZXNZVHYUTT7TBCR","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AZXNZVHY","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:69395fb09b28cf5df3fbcda3615c3dc2dc49e8d52df01f7de51d755f4c1adb2a","target":"graph","created_at":"2026-05-18T03:31:06Z","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":"We give the large N limit of the effective potential for the O(N) linear sigma model in four dimensions in terms of the Lambert W function. The effective potential is fully consistent with the renormalization group, and it admits an asymptotic expansion in powers of a small positive coupling parameter. Careful consideration of the UV cutoff present in the model validates the physics of the large N limit.","authors_text":"Hidenori Sonoda","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-25T11:42:12Z","title":"Analytic form of the effective potential in the large N limit of a real scalar theory in four dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6059","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":"sha256:80f3566de560ecc1a16b93d71a9b94752c94daa9f3dbebee767c92a7f21e3585","target":"record","created_at":"2026-05-18T03:31:06Z","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":"0c7be8f71971cf548d158b59da581412f85c7c6a04802490e5a1add216339ff4","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-25T11:42:12Z","title_canon_sha256":"fe59fe12f17f83ad31ceada0d27a8a3ad2b7f50c0bd6f9fb82ed0a58dea83773"},"schema_version":"1.0","source":{"id":"1302.6059","kind":"arxiv","version":2}},"canonical_sha256":"066edcd4f8a4e7f984512f72938907659a9e0c90d5c0c0229782d0e2ff7d19b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"066edcd4f8a4e7f984512f72938907659a9e0c90d5c0c0229782d0e2ff7d19b1","first_computed_at":"2026-05-18T03:31:06.188078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:06.188078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0cH45HZZxihPVxMEUmnKdRUMDzlrKfIbKZC0gWjy9QeJ8APXd83xD1GU9/jQzXB9JXVLSq7GiYJSYayxcKUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:06.188849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80f3566de560ecc1a16b93d71a9b94752c94daa9f3dbebee767c92a7f21e3585","sha256:69395fb09b28cf5df3fbcda3615c3dc2dc49e8d52df01f7de51d755f4c1adb2a"],"state_sha256":"bd796aa4e529efd2b6f2c217f207fd6b28bc7e218c8aca618fe1e1c97e845065"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkY4M6vbn0lPDMg3oacYTJAHa30dSjRYjfpy10ayTwakWzdveY58tjCLF4/d2K5R0synF8cQlbQ6Tedu9hW6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:34:49.165151Z","bundle_sha256":"538ed4672aac700f0b947c66302cf29445d9bc8146d3f72a25e78b28aee8afea"}}