{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LHLJ2SMJNBLTHD2BCJBTSBWUUM","short_pith_number":"pith:LHLJ2SMJ","canonical_record":{"source":{"id":"1306.3918","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-17T16:24:31Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c98e5460c5ee53f56bbe73d4f7beecd52c1f5de9c947c5e6ae981684f2803e8e","abstract_canon_sha256":"f296ab6dce98c096b9662fbe3a752b11c36d387c60051a8a85d0f7f3c4429682"},"schema_version":"1.0"},"canonical_sha256":"59d69d49896857338f4112433906d4a3170f97ffec0133dd2b6571e2d5ec5dca","source":{"kind":"arxiv","id":"1306.3918","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3918","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3918v2","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3918","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"pith_short_12","alias_value":"LHLJ2SMJNBLT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LHLJ2SMJNBLTHD2B","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LHLJ2SMJ","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LHLJ2SMJNBLTHD2BCJBTSBWUUM","target":"record","payload":{"canonical_record":{"source":{"id":"1306.3918","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-17T16:24:31Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c98e5460c5ee53f56bbe73d4f7beecd52c1f5de9c947c5e6ae981684f2803e8e","abstract_canon_sha256":"f296ab6dce98c096b9662fbe3a752b11c36d387c60051a8a85d0f7f3c4429682"},"schema_version":"1.0"},"canonical_sha256":"59d69d49896857338f4112433906d4a3170f97ffec0133dd2b6571e2d5ec5dca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:37.164667Z","signature_b64":"bC7i7F+hbZuOnuUSQX8n3H2tiaz+I0/eANyk8xlPr8Hdi69Q6B+f96sPIL5vm1d65PzKFl+QPFMfqBj2uyMSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59d69d49896857338f4112433906d4a3170f97ffec0133dd2b6571e2d5ec5dca","last_reissued_at":"2026-05-18T03:08:37.164049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:37.164049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.3918","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":"2026-05-18T03:08:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y03ajpSPWba7RQpVL5FksmJP5/Z87su/99NUhJVenWERq35posjdeHCgkJ+xgzTSoLcaSji5GnDmmCb5XHYgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:11:23.909890Z"},"content_sha256":"d2254977eac5020113b7e9962d741878f91b96e0c3270531c21715908b3b82cb","schema_version":"1.0","event_id":"sha256:d2254977eac5020113b7e9962d741878f91b96e0c3270531c21715908b3b82cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LHLJ2SMJNBLTHD2BCJBTSBWUUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional renormalization of N scalars with O(N) invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"M. Safari, R. Percacci","submitted_at":"2013-06-17T16:24:31Z","abstract_excerpt":"We discuss general theories of N scalar fields with O(N) symmetry. In addition to the standard case of linearly realized symmetry there are also examples that carry nonlinear realizations, with the topology of a cylinder $R\\times S^{N-1}$ or a sphere $S^N$. We write flow equations for the theory in the second order of the derivative expansion in the background field and discuss the properties of scaling solutions with vanishing potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3918","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":"2026-05-18T03:08:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/4g+18ozYWIivLmLY/zJDj4R9KtvibXUpDULM/lSpSx/xGSguY/D2E6v/yceMlYplgKt8+igyBv+resckUHrCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T17:11:23.910563Z"},"content_sha256":"1276f09fc276b051c78ea99c1e26cfa4108ce88e71a12c323bdea031bc73ab83","schema_version":"1.0","event_id":"sha256:1276f09fc276b051c78ea99c1e26cfa4108ce88e71a12c323bdea031bc73ab83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM/bundle.json","state_url":"https://pith.science/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM/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":"2026-06-09T17:11:23Z","links":{"resolver":"https://pith.science/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM","bundle":"https://pith.science/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM/bundle.json","state":"https://pith.science/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LHLJ2SMJNBLTHD2BCJBTSBWUUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LHLJ2SMJNBLTHD2BCJBTSBWUUM","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":"f296ab6dce98c096b9662fbe3a752b11c36d387c60051a8a85d0f7f3c4429682","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-17T16:24:31Z","title_canon_sha256":"c98e5460c5ee53f56bbe73d4f7beecd52c1f5de9c947c5e6ae981684f2803e8e"},"schema_version":"1.0","source":{"id":"1306.3918","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3918","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3918v2","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3918","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"pith_short_12","alias_value":"LHLJ2SMJNBLT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LHLJ2SMJNBLTHD2B","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LHLJ2SMJ","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:1276f09fc276b051c78ea99c1e26cfa4108ce88e71a12c323bdea031bc73ab83","target":"graph","created_at":"2026-05-18T03:08:37Z","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 discuss general theories of N scalar fields with O(N) symmetry. In addition to the standard case of linearly realized symmetry there are also examples that carry nonlinear realizations, with the topology of a cylinder $R\\times S^{N-1}$ or a sphere $S^N$. We write flow equations for the theory in the second order of the derivative expansion in the background field and discuss the properties of scaling solutions with vanishing potential.","authors_text":"M. Safari, R. Percacci","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-17T16:24:31Z","title":"Functional renormalization of N scalars with O(N) invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3918","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:d2254977eac5020113b7e9962d741878f91b96e0c3270531c21715908b3b82cb","target":"record","created_at":"2026-05-18T03:08:37Z","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":"f296ab6dce98c096b9662fbe3a752b11c36d387c60051a8a85d0f7f3c4429682","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-17T16:24:31Z","title_canon_sha256":"c98e5460c5ee53f56bbe73d4f7beecd52c1f5de9c947c5e6ae981684f2803e8e"},"schema_version":"1.0","source":{"id":"1306.3918","kind":"arxiv","version":2}},"canonical_sha256":"59d69d49896857338f4112433906d4a3170f97ffec0133dd2b6571e2d5ec5dca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59d69d49896857338f4112433906d4a3170f97ffec0133dd2b6571e2d5ec5dca","first_computed_at":"2026-05-18T03:08:37.164049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:37.164049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bC7i7F+hbZuOnuUSQX8n3H2tiaz+I0/eANyk8xlPr8Hdi69Q6B+f96sPIL5vm1d65PzKFl+QPFMfqBj2uyMSAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:37.164667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3918","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2254977eac5020113b7e9962d741878f91b96e0c3270531c21715908b3b82cb","sha256:1276f09fc276b051c78ea99c1e26cfa4108ce88e71a12c323bdea031bc73ab83"],"state_sha256":"dac87425b120f7e515c583aa42b42668eca9a89819fd88b231608f7f20337f2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"39NzL5GubC6dCdvorq/UVKz8jP5iBHt8vULwgWBWhv5+ovaqZNywpSXmRRxew5LaRhEnO0e4H6bwwYH55O5CDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T17:11:23.914301Z","bundle_sha256":"728f06a918dcc02bbbc9c518dda88318466f46a9a1a6876dbed4e3d0e364da49"}}