{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XEAWZEN5GSV7ESAKXR234KAFXY","short_pith_number":"pith:XEAWZEN5","canonical_record":{"source":{"id":"1303.3015","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-12T20:10:23Z","cross_cats_sorted":[],"title_canon_sha256":"1b5cd30de9e8c3862ecb99951a2840737a191ab1b6cf555495bfa07b3bf30287","abstract_canon_sha256":"571edfa94f778e4fc2b24b237f0e3a95f68968f62de62d909f51f2b18c083806"},"schema_version":"1.0"},"canonical_sha256":"b9016c91bd34abf2480abc75be2805be2e926ae939f58b1b0b2bc322a9ce8ea2","source":{"kind":"arxiv","id":"1303.3015","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3015","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3015v3","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3015","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"XEAWZEN5GSV7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XEAWZEN5GSV7ESAK","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XEAWZEN5","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XEAWZEN5GSV7ESAKXR234KAFXY","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3015","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-12T20:10:23Z","cross_cats_sorted":[],"title_canon_sha256":"1b5cd30de9e8c3862ecb99951a2840737a191ab1b6cf555495bfa07b3bf30287","abstract_canon_sha256":"571edfa94f778e4fc2b24b237f0e3a95f68968f62de62d909f51f2b18c083806"},"schema_version":"1.0"},"canonical_sha256":"b9016c91bd34abf2480abc75be2805be2e926ae939f58b1b0b2bc322a9ce8ea2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:52.150837Z","signature_b64":"CI1DVxE944rb8FaR6JpUlpsdAcmbwgfEWtZN74ddNCoOC4bvlU6ZhdthMiNIcgH9lHBekQOrSgFl1jjfGYqtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9016c91bd34abf2480abc75be2805be2e926ae939f58b1b0b2bc322a9ce8ea2","last_reissued_at":"2026-05-18T02:37:52.150153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:52.150153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3015","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PxDBjwit0spSaLdwQLOwJKQA781Ni5285kPV7c9iJD4oZ4sxZh5Xx5Mq1CA8+jfJ8cyCOP9TS6b9uo13iSHtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:03:28.693293Z"},"content_sha256":"1ce93c37c239621c636123b764abbf5e7f54ea638b3eaa848cd9bb1bad35a90f","schema_version":"1.0","event_id":"sha256:1ce93c37c239621c636123b764abbf5e7f54ea638b3eaa848cd9bb1bad35a90f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XEAWZEN5GSV7ESAKXR234KAFXY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two Dimensional Renormalization Group Flows in Next to Leading Order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Rubik Poghossian","submitted_at":"2013-03-12T20:10:23Z","abstract_excerpt":"Zamolodchikov's famous analysis of the RG trajectory connecting successive minimal CFT models $M_p$ and $M_{p-1}$ for $p\\gg 1$, is improved by including second order in coupling constant corrections. This allows to compute IR quantities with next to leading order accuracy of the $1/p$ expansion. We compute in particular, the beta function and the anomalous dimensions for certain classes of fields. As a result we are able to identify with a greater accuracy the IR limit of these fields with certain linear combination of the IR theory $M_{p-1}$. We discuss the relation of these results with Gaot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3015","kind":"arxiv","version":3},"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":"2026-05-18T02:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ktFjY+VWa0iDVGFvCVca5Io/7YSuoZX3UtMIDgW2GFLxKV91li0gPsAXw67gKMw7ovJ5POVLdwm9ZctigNkFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T05:03:28.693956Z"},"content_sha256":"2954d71eec359e71734a4c9093b7af11b08a8114468c594534e3755e88ccaf44","schema_version":"1.0","event_id":"sha256:2954d71eec359e71734a4c9093b7af11b08a8114468c594534e3755e88ccaf44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEAWZEN5GSV7ESAKXR234KAFXY/bundle.json","state_url":"https://pith.science/pith/XEAWZEN5GSV7ESAKXR234KAFXY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEAWZEN5GSV7ESAKXR234KAFXY/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":"2026-05-23T05:03:28Z","links":{"resolver":"https://pith.science/pith/XEAWZEN5GSV7ESAKXR234KAFXY","bundle":"https://pith.science/pith/XEAWZEN5GSV7ESAKXR234KAFXY/bundle.json","state":"https://pith.science/pith/XEAWZEN5GSV7ESAKXR234KAFXY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEAWZEN5GSV7ESAKXR234KAFXY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XEAWZEN5GSV7ESAKXR234KAFXY","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":"571edfa94f778e4fc2b24b237f0e3a95f68968f62de62d909f51f2b18c083806","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-12T20:10:23Z","title_canon_sha256":"1b5cd30de9e8c3862ecb99951a2840737a191ab1b6cf555495bfa07b3bf30287"},"schema_version":"1.0","source":{"id":"1303.3015","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3015","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3015v3","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3015","created_at":"2026-05-18T02:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"XEAWZEN5GSV7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XEAWZEN5GSV7ESAK","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XEAWZEN5","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:2954d71eec359e71734a4c9093b7af11b08a8114468c594534e3755e88ccaf44","target":"graph","created_at":"2026-05-18T02:37:52Z","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":"Zamolodchikov's famous analysis of the RG trajectory connecting successive minimal CFT models $M_p$ and $M_{p-1}$ for $p\\gg 1$, is improved by including second order in coupling constant corrections. This allows to compute IR quantities with next to leading order accuracy of the $1/p$ expansion. We compute in particular, the beta function and the anomalous dimensions for certain classes of fields. As a result we are able to identify with a greater accuracy the IR limit of these fields with certain linear combination of the IR theory $M_{p-1}$. We discuss the relation of these results with Gaot","authors_text":"Rubik Poghossian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-12T20:10:23Z","title":"Two Dimensional Renormalization Group Flows in Next to Leading Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3015","kind":"arxiv","version":3},"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":"sha256:1ce93c37c239621c636123b764abbf5e7f54ea638b3eaa848cd9bb1bad35a90f","target":"record","created_at":"2026-05-18T02:37:52Z","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":"571edfa94f778e4fc2b24b237f0e3a95f68968f62de62d909f51f2b18c083806","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-12T20:10:23Z","title_canon_sha256":"1b5cd30de9e8c3862ecb99951a2840737a191ab1b6cf555495bfa07b3bf30287"},"schema_version":"1.0","source":{"id":"1303.3015","kind":"arxiv","version":3}},"canonical_sha256":"b9016c91bd34abf2480abc75be2805be2e926ae939f58b1b0b2bc322a9ce8ea2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9016c91bd34abf2480abc75be2805be2e926ae939f58b1b0b2bc322a9ce8ea2","first_computed_at":"2026-05-18T02:37:52.150153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:52.150153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CI1DVxE944rb8FaR6JpUlpsdAcmbwgfEWtZN74ddNCoOC4bvlU6ZhdthMiNIcgH9lHBekQOrSgFl1jjfGYqtAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:52.150837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3015","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ce93c37c239621c636123b764abbf5e7f54ea638b3eaa848cd9bb1bad35a90f","sha256:2954d71eec359e71734a4c9093b7af11b08a8114468c594534e3755e88ccaf44"],"state_sha256":"78d76136c21990cfbf8cc408d86c9d4c95097d41d23849842086e1132c284a9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B9VL73H/Ld+2tHL3srmgBu2q1ToS03iLl591VAqC9fgpI2ZEsCH0sLeLEfDrVLln8eyPvuzK2vGhF6hwhsn1Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T05:03:28.697821Z","bundle_sha256":"13167f58b30629c7ed2d8aff86105a866f5baffde6ec4c98369f41427cf2dcd4"}}