{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:2WS5YBHD7TAQELHHBLCUUKAZE2","short_pith_number":"pith:2WS5YBHD","canonical_record":{"source":{"id":"hep-th/9410141","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-10-19T16:53:31Z","cross_cats_sorted":["cond-mat","hep-lat"],"title_canon_sha256":"1e2342d726b02311a2ca14db7ebb677c8d666df851c2dc54b6692ff97fa70f83","abstract_canon_sha256":"35f69fe7e07e2ab18d60ce918606218901606f18b7dbea5b4ef18addf1bee593"},"schema_version":"1.0"},"canonical_sha256":"d5a5dc04e3fcc1022ce70ac54a281926b7deffeaaac71da91dd2acfbd47b565a","source":{"kind":"arxiv","id":"hep-th/9410141","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9410141","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9410141v2","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9410141","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"2WS5YBHD7TAQ","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"pith_short_16","alias_value":"2WS5YBHD7TAQELHH","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"pith_short_8","alias_value":"2WS5YBHD","created_at":"2026-07-04T15:57:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:2WS5YBHD7TAQELHHBLCUUKAZE2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9410141","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-10-19T16:53:31Z","cross_cats_sorted":["cond-mat","hep-lat"],"title_canon_sha256":"1e2342d726b02311a2ca14db7ebb677c8d666df851c2dc54b6692ff97fa70f83","abstract_canon_sha256":"35f69fe7e07e2ab18d60ce918606218901606f18b7dbea5b4ef18addf1bee593"},"schema_version":"1.0"},"canonical_sha256":"d5a5dc04e3fcc1022ce70ac54a281926b7deffeaaac71da91dd2acfbd47b565a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:52.300781Z","signature_b64":"4NIJFqCMJb00ofofACEkRagy5keqFtn4lcRd7LhQx2oP8irWu5bBeSYiwlJVnJVoIRlD2QF3x2l9Vh+0BmCiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5a5dc04e3fcc1022ce70ac54a281926b7deffeaaac71da91dd2acfbd47b565a","last_reissued_at":"2026-07-04T15:57:52.300416Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:52.300416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9410141","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":"2026-07-04T15:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SYsI9dQrEiybPbJZ+xmAze6wd87bfGdSJ22F+zoZx75aVSW2cRMqpXtsFjJ4GtZty8/YoLDIQyKaZWE9i59PBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T07:47:55.147843Z"},"content_sha256":"e2347fd636aa1ef0f8f3c614fc40896836e043af2e7ab47e56ff54096fdba04b","schema_version":"1.0","event_id":"sha256:e2347fd636aa1ef0f8f3c614fc40896836e043af2e7ab47e56ff54096fdba04b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:2WS5YBHD7TAQELHHBLCUUKAZE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Renormalization Group and Two Dimensional Multicritical Effective Scalar Field Theory","license":"","headline":"","cross_cats":["cond-mat","hep-lat"],"primary_cat":"hep-th","authors_text":"Tim R. Morris","submitted_at":"1994-10-19T16:53:31Z","abstract_excerpt":"Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate non-perturbative methods. We apply a derivative expansion of the exact RG (Renormalization Group) equations in a form which allows the corresponding FP equations to appear as non-linear eigenvalue equations for the anomalous scaling dimension $\\eta$. At zeroth order, only continuum limits based on critical sine-Gordon models, are accessible. At second order in de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9410141","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/hep-th/9410141/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hiy3JKT4cCBjduu7g33Xbl02rVr1kEelPrwkBPLdqxKQKbQacJdTucYnYWaYA8rTZZr4DdBrwogndJrpk57cDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T07:47:55.148747Z"},"content_sha256":"f5339b2dcdec3c2657f4488137687e34b83e4db2d9bbe141cf3a8696b4491582","schema_version":"1.0","event_id":"sha256:f5339b2dcdec3c2657f4488137687e34b83e4db2d9bbe141cf3a8696b4491582"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2WS5YBHD7TAQELHHBLCUUKAZE2/bundle.json","state_url":"https://pith.science/pith/2WS5YBHD7TAQELHHBLCUUKAZE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2WS5YBHD7TAQELHHBLCUUKAZE2/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":"2026-08-03T07:47:55Z","links":{"resolver":"https://pith.science/pith/2WS5YBHD7TAQELHHBLCUUKAZE2","bundle":"https://pith.science/pith/2WS5YBHD7TAQELHHBLCUUKAZE2/bundle.json","state":"https://pith.science/pith/2WS5YBHD7TAQELHHBLCUUKAZE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2WS5YBHD7TAQELHHBLCUUKAZE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:2WS5YBHD7TAQELHHBLCUUKAZE2","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":"35f69fe7e07e2ab18d60ce918606218901606f18b7dbea5b4ef18addf1bee593","cross_cats_sorted":["cond-mat","hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"1994-10-19T16:53:31Z","title_canon_sha256":"1e2342d726b02311a2ca14db7ebb677c8d666df851c2dc54b6692ff97fa70f83"},"schema_version":"1.0","source":{"id":"hep-th/9410141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9410141","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9410141v2","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9410141","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"2WS5YBHD7TAQ","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"pith_short_16","alias_value":"2WS5YBHD7TAQELHH","created_at":"2026-07-04T15:57:52Z"},{"alias_kind":"pith_short_8","alias_value":"2WS5YBHD","created_at":"2026-07-04T15:57:52Z"}],"graph_snapshots":[{"event_id":"sha256:f5339b2dcdec3c2657f4488137687e34b83e4db2d9bbe141cf3a8696b4491582","target":"graph","created_at":"2026-07-04T15:57:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9410141/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate non-perturbative methods. We apply a derivative expansion of the exact RG (Renormalization Group) equations in a form which allows the corresponding FP equations to appear as non-linear eigenvalue equations for the anomalous scaling dimension $\\eta$. At zeroth order, only continuum limits based on critical sine-Gordon models, are accessible. At second order in de","authors_text":"Tim R. Morris","cross_cats":["cond-mat","hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-10-19T16:53:31Z","title":"The Renormalization Group and Two Dimensional Multicritical Effective Scalar Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9410141","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:e2347fd636aa1ef0f8f3c614fc40896836e043af2e7ab47e56ff54096fdba04b","target":"record","created_at":"2026-07-04T15:57:52Z","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":"35f69fe7e07e2ab18d60ce918606218901606f18b7dbea5b4ef18addf1bee593","cross_cats_sorted":["cond-mat","hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"1994-10-19T16:53:31Z","title_canon_sha256":"1e2342d726b02311a2ca14db7ebb677c8d666df851c2dc54b6692ff97fa70f83"},"schema_version":"1.0","source":{"id":"hep-th/9410141","kind":"arxiv","version":2}},"canonical_sha256":"d5a5dc04e3fcc1022ce70ac54a281926b7deffeaaac71da91dd2acfbd47b565a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5a5dc04e3fcc1022ce70ac54a281926b7deffeaaac71da91dd2acfbd47b565a","first_computed_at":"2026-07-04T15:57:52.300416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:57:52.300416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4NIJFqCMJb00ofofACEkRagy5keqFtn4lcRd7LhQx2oP8irWu5bBeSYiwlJVnJVoIRlD2QF3x2l9Vh+0BmCiAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:57:52.300781Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9410141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2347fd636aa1ef0f8f3c614fc40896836e043af2e7ab47e56ff54096fdba04b","sha256:f5339b2dcdec3c2657f4488137687e34b83e4db2d9bbe141cf3a8696b4491582"],"state_sha256":"96f813c861c18c18a6a8838a30b11a17e33b45ec9237276a69b934b1c0f9f11e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VxtbprME/a8d3gnyNmr+mCQs0LohNgDPzTcofwN6JB9nqJDZZ0gD3Z7J8vNyES3cGsQWsonRve1giC9tO3FGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T07:47:55.159971Z","bundle_sha256":"b88884d228f9df841220992821234637d7c943dc2fb2d6be09d4ec79b860ff79"}}