{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:RY7IQFDXYPTBJ3PWSZBTP63ENF","short_pith_number":"pith:RY7IQFDX","canonical_record":{"source":{"id":"cond-mat/0610015","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-30T14:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"f7f17a5e3f9e83f58374ad0e2256dff5a2107fdf96fb38e9ff8c7ab2f2831748","abstract_canon_sha256":"83393b0e97dcf6d70a86627388fc9551a97a16e763220f3a4949c5cc41ca03d1"},"schema_version":"1.0"},"canonical_sha256":"8e3e881477c3e614edf6964337fb64695dc233f0f087e78dc00eb77cff7e38b4","source":{"kind":"arxiv","id":"cond-mat/0610015","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0610015","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0610015v4","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0610015","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"RY7IQFDXYPTB","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RY7IQFDXYPTBJ3PW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RY7IQFDX","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:RY7IQFDXYPTBJ3PWSZBTP63ENF","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0610015","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-30T14:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"f7f17a5e3f9e83f58374ad0e2256dff5a2107fdf96fb38e9ff8c7ab2f2831748","abstract_canon_sha256":"83393b0e97dcf6d70a86627388fc9551a97a16e763220f3a4949c5cc41ca03d1"},"schema_version":"1.0"},"canonical_sha256":"8e3e881477c3e614edf6964337fb64695dc233f0f087e78dc00eb77cff7e38b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:38.460099Z","signature_b64":"bgVxTJ8WSft2GqqYKhe+gv9869uZF8DhvP6vVbMiE73YpOtDyDwkCjPGV4runUZigTks4bfFFzjoU3Z09z7/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3e881477c3e614edf6964337fb64695dc233f0f087e78dc00eb77cff7e38b4","last_reissued_at":"2026-05-18T04:14:38.459611Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:38.459611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0610015","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NbZ7EPXpZwJ6TCijk/4bLBN35ueIQxIv7DfP9snsP03+c0kw341MnZjFeihSOw6rgvr8jDPnrEl0oshhTXsuBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:53:29.577104Z"},"content_sha256":"0329772bb82b2cc32ff3653dce2f574773670647f5d4ac02c01b3854a65a4e44","schema_version":"1.0","event_id":"sha256:0329772bb82b2cc32ff3653dce2f574773670647f5d4ac02c01b3854a65a4e44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:RY7IQFDXYPTBJ3PWSZBTP63ENF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative renormalization of the Ginzburg-Landau model revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"J. Kaupuzs","submitted_at":"2006-09-30T14:17:42Z","abstract_excerpt":"The perturbative renormalization of the Ginzburg-Landau model is reconsidered based on the Feynman diagram technique. We derive renormalization group (RG) flow equations, exactly calculating all vertices appearing in the perturbative renormalization of the phi^4 model up to the epsilon^3 order of the epsilon-expansion. In this case, the phi^2, phi^4, phi^6, and phi^8 vertices appear. All these vertices are relevant. We have tested the expected basic properties of the RG flow, such as the semigroup property. Under repeated RG transformation R_s, appropriately represented RG flow on the critical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610015","kind":"arxiv","version":4},"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":"2026-05-18T04:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Mfw5dJiiW3f5ojqkSsG6bV56zEzKwsJ+1HsddxLADeJ3fEeDfoEtUwTRhcxMmIjGqE1XonCazh9k41fJj87AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T19:53:29.577467Z"},"content_sha256":"858690d57fe2bc6514c8ccd00e3cdf0f1ca9571dd0136a9a5d2622087df0bfd3","schema_version":"1.0","event_id":"sha256:858690d57fe2bc6514c8ccd00e3cdf0f1ca9571dd0136a9a5d2622087df0bfd3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF/bundle.json","state_url":"https://pith.science/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF/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":"2026-06-03T19:53:29Z","links":{"resolver":"https://pith.science/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF","bundle":"https://pith.science/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF/bundle.json","state":"https://pith.science/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RY7IQFDXYPTBJ3PWSZBTP63ENF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:RY7IQFDXYPTBJ3PWSZBTP63ENF","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":"83393b0e97dcf6d70a86627388fc9551a97a16e763220f3a4949c5cc41ca03d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-30T14:17:42Z","title_canon_sha256":"f7f17a5e3f9e83f58374ad0e2256dff5a2107fdf96fb38e9ff8c7ab2f2831748"},"schema_version":"1.0","source":{"id":"cond-mat/0610015","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0610015","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0610015v4","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0610015","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"RY7IQFDXYPTB","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RY7IQFDXYPTBJ3PW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RY7IQFDX","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:858690d57fe2bc6514c8ccd00e3cdf0f1ca9571dd0136a9a5d2622087df0bfd3","target":"graph","created_at":"2026-05-18T04:14:38Z","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":"The perturbative renormalization of the Ginzburg-Landau model is reconsidered based on the Feynman diagram technique. We derive renormalization group (RG) flow equations, exactly calculating all vertices appearing in the perturbative renormalization of the phi^4 model up to the epsilon^3 order of the epsilon-expansion. In this case, the phi^2, phi^4, phi^6, and phi^8 vertices appear. All these vertices are relevant. We have tested the expected basic properties of the RG flow, such as the semigroup property. Under repeated RG transformation R_s, appropriately represented RG flow on the critical","authors_text":"J. Kaupuzs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-30T14:17:42Z","title":"Perturbative renormalization of the Ginzburg-Landau model revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610015","kind":"arxiv","version":4},"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":"sha256:0329772bb82b2cc32ff3653dce2f574773670647f5d4ac02c01b3854a65a4e44","target":"record","created_at":"2026-05-18T04:14:38Z","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":"83393b0e97dcf6d70a86627388fc9551a97a16e763220f3a4949c5cc41ca03d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-09-30T14:17:42Z","title_canon_sha256":"f7f17a5e3f9e83f58374ad0e2256dff5a2107fdf96fb38e9ff8c7ab2f2831748"},"schema_version":"1.0","source":{"id":"cond-mat/0610015","kind":"arxiv","version":4}},"canonical_sha256":"8e3e881477c3e614edf6964337fb64695dc233f0f087e78dc00eb77cff7e38b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e3e881477c3e614edf6964337fb64695dc233f0f087e78dc00eb77cff7e38b4","first_computed_at":"2026-05-18T04:14:38.459611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:38.459611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bgVxTJ8WSft2GqqYKhe+gv9869uZF8DhvP6vVbMiE73YpOtDyDwkCjPGV4runUZigTks4bfFFzjoU3Z09z7/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:38.460099Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0610015","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0329772bb82b2cc32ff3653dce2f574773670647f5d4ac02c01b3854a65a4e44","sha256:858690d57fe2bc6514c8ccd00e3cdf0f1ca9571dd0136a9a5d2622087df0bfd3"],"state_sha256":"d3993974a78660dbabae1e3b110f2e65ac6cd65589877aa983833458ec150cde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfRc+ELZl2GXXVM9BirI+761RRW974znLKbh5Vzfcx+3wO7Bc/bBBDivjbyF9q9rImbIx6xgJ3VgPm7X8NS0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T19:53:29.579425Z","bundle_sha256":"26a7fd598b40da8fbfe2da703fde82d2bd3688f0117f27423d70747531f821fc"}}