{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4ZPFX2TJ6OXWIYGLM4OBZFBDZP","short_pith_number":"pith:4ZPFX2TJ","canonical_record":{"source":{"id":"1703.04202","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-13T00:08:30Z","cross_cats_sorted":[],"title_canon_sha256":"97ed952c845e26de22840e104c67cdb6c6583ad98ef6c03fcc9d18055d8bd798","abstract_canon_sha256":"daceca6b6816c739a6cc253c03ba7c7d818d52dac0ad4ac6151f8eb05145ef06"},"schema_version":"1.0"},"canonical_sha256":"e65e5bea69f3af6460cb671c1c9423cbc469c0b0f729e794e6474e51a6e1648f","source":{"kind":"arxiv","id":"1703.04202","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04202","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04202v2","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04202","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"pith_short_12","alias_value":"4ZPFX2TJ6OXW","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4ZPFX2TJ6OXWIYGL","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4ZPFX2TJ","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4ZPFX2TJ6OXWIYGLM4OBZFBDZP","target":"record","payload":{"canonical_record":{"source":{"id":"1703.04202","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-13T00:08:30Z","cross_cats_sorted":[],"title_canon_sha256":"97ed952c845e26de22840e104c67cdb6c6583ad98ef6c03fcc9d18055d8bd798","abstract_canon_sha256":"daceca6b6816c739a6cc253c03ba7c7d818d52dac0ad4ac6151f8eb05145ef06"},"schema_version":"1.0"},"canonical_sha256":"e65e5bea69f3af6460cb671c1c9423cbc469c0b0f729e794e6474e51a6e1648f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:56.251352Z","signature_b64":"qKgKDUCShYNCDoXc1yrWV6SZEnSjFDcr0F4vpMp0yA9Qm0Oclfbdsai3KCAlsX/ohOsE+bH0FxmAcHc4QNvuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e65e5bea69f3af6460cb671c1c9423cbc469c0b0f729e794e6474e51a6e1648f","last_reissued_at":"2026-05-18T00:28:56.250862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:56.250862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.04202","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":"2026-05-18T00:28:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QTpgsSzdFPRuQnppa2MDn8Z1lFrGakExLp/URULIlluTBfK8A+0TrQ23stFckGSEhHzoUzPbFROvpVodD9JdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:24:17.335902Z"},"content_sha256":"4a5c2e58280f0003a3deec9b164e7cad8e5c434673ed422fdf02f7a99a5568c7","schema_version":"1.0","event_id":"sha256:4a5c2e58280f0003a3deec9b164e7cad8e5c434673ed422fdf02f7a99a5568c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4ZPFX2TJ6OXWIYGLM4OBZFBDZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"O(N) and O(N) and O(N)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Brian Trundy, Christian Jepsen, Sarthak Parikh, Steven S. Gubser","submitted_at":"2017-03-13T00:08:30Z","abstract_excerpt":"Three related analyses of $\\phi^4$ theory with $O(N)$ symmetry are presented. In the first, we review the $O(N)$ model over the $p$-adic numbers and the discrete renormalization group transformations which can be understood as spin blocking in an ultrametric context. We demonstrate the existence of a Wilson-Fisher fixed point using an $\\epsilon$ expansion, and we show how to obtain leading order results for the anomalous dimensions of low dimension operators near the fixed point. Along the way, we note an important aspect of ultrametric field theories, which is a non-renormalization theorem fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04202","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":"2026-05-18T00:28:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WfDzJ6TcMDh90FlkFtDmVK1CSJPLmdrQT74sUQ8LQvai6fhYGAb+KEuEiLkSEwRvosvapX6VD1wJnjHr69RaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:24:17.336554Z"},"content_sha256":"f818476708ded3915e6c1b5147e6ee8775f296959aa4bd183a4cdbcdf0704c3f","schema_version":"1.0","event_id":"sha256:f818476708ded3915e6c1b5147e6ee8775f296959aa4bd183a4cdbcdf0704c3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP/bundle.json","state_url":"https://pith.science/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP/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":"2026-05-26T16:24:17Z","links":{"resolver":"https://pith.science/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP","bundle":"https://pith.science/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP/bundle.json","state":"https://pith.science/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4ZPFX2TJ6OXWIYGLM4OBZFBDZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4ZPFX2TJ6OXWIYGLM4OBZFBDZP","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":"daceca6b6816c739a6cc253c03ba7c7d818d52dac0ad4ac6151f8eb05145ef06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-13T00:08:30Z","title_canon_sha256":"97ed952c845e26de22840e104c67cdb6c6583ad98ef6c03fcc9d18055d8bd798"},"schema_version":"1.0","source":{"id":"1703.04202","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04202","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04202v2","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04202","created_at":"2026-05-18T00:28:56Z"},{"alias_kind":"pith_short_12","alias_value":"4ZPFX2TJ6OXW","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4ZPFX2TJ6OXWIYGL","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4ZPFX2TJ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:f818476708ded3915e6c1b5147e6ee8775f296959aa4bd183a4cdbcdf0704c3f","target":"graph","created_at":"2026-05-18T00:28:56Z","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":"Three related analyses of $\\phi^4$ theory with $O(N)$ symmetry are presented. In the first, we review the $O(N)$ model over the $p$-adic numbers and the discrete renormalization group transformations which can be understood as spin blocking in an ultrametric context. We demonstrate the existence of a Wilson-Fisher fixed point using an $\\epsilon$ expansion, and we show how to obtain leading order results for the anomalous dimensions of low dimension operators near the fixed point. Along the way, we note an important aspect of ultrametric field theories, which is a non-renormalization theorem fo","authors_text":"Brian Trundy, Christian Jepsen, Sarthak Parikh, Steven S. Gubser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-13T00:08:30Z","title":"O(N) and O(N) and O(N)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04202","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":"sha256:4a5c2e58280f0003a3deec9b164e7cad8e5c434673ed422fdf02f7a99a5568c7","target":"record","created_at":"2026-05-18T00:28:56Z","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":"daceca6b6816c739a6cc253c03ba7c7d818d52dac0ad4ac6151f8eb05145ef06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-13T00:08:30Z","title_canon_sha256":"97ed952c845e26de22840e104c67cdb6c6583ad98ef6c03fcc9d18055d8bd798"},"schema_version":"1.0","source":{"id":"1703.04202","kind":"arxiv","version":2}},"canonical_sha256":"e65e5bea69f3af6460cb671c1c9423cbc469c0b0f729e794e6474e51a6e1648f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e65e5bea69f3af6460cb671c1c9423cbc469c0b0f729e794e6474e51a6e1648f","first_computed_at":"2026-05-18T00:28:56.250862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:56.250862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qKgKDUCShYNCDoXc1yrWV6SZEnSjFDcr0F4vpMp0yA9Qm0Oclfbdsai3KCAlsX/ohOsE+bH0FxmAcHc4QNvuAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:56.251352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04202","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a5c2e58280f0003a3deec9b164e7cad8e5c434673ed422fdf02f7a99a5568c7","sha256:f818476708ded3915e6c1b5147e6ee8775f296959aa4bd183a4cdbcdf0704c3f"],"state_sha256":"2c8827f08e32b7337688be2fac3d0f398036802792bae57ecdaa34f5aead514c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BOVQPsfuPXAkd9gI5b0+IgG73uojUNsnwqZNWROnmDoVihpIlP/ALx0gkvn077Uen3rMJSEyXhuuQPoZ7RroBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:24:17.339820Z","bundle_sha256":"3f4dae12bed499fc6459846e6fbfe60df07300e85d1c648f256d12c3b8c121af"}}