{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:G63P73XFS55P4XDULYWJJDCSYR","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":"3fa4f1c4e3e605cef5ce27873dd65fe3a48b563ad1fa2a838ec7cd04a139190a","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-22T13:35:45Z","title_canon_sha256":"5a30f0cc788b0c75b264b6ec3d71da77a0b18860e1477745a07473a9e44ecd39"},"schema_version":"1.0","source":{"id":"1903.09503","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09503","created_at":"2026-07-05T05:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09503v4","created_at":"2026-07-05T05:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09503","created_at":"2026-07-05T05:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"G63P73XFS55P","created_at":"2026-07-05T05:16:29Z"},{"alias_kind":"pith_short_16","alias_value":"G63P73XFS55P4XDU","created_at":"2026-07-05T05:16:29Z"},{"alias_kind":"pith_short_8","alias_value":"G63P73XF","created_at":"2026-07-05T05:16:29Z"}],"graph_snapshots":[{"event_id":"sha256:29963dc15279fb465cf8dffd3ff1a1b41007123a7e3ed21d9a31725cc0bdd5db","target":"graph","created_at":"2026-07-05T05:16:29Z","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/1903.09503/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (FRG). We investigate the $O(N)$-model in the large $N$ limit. It is shown that the flow equation for the effective potential can be cast into a conservative form. We discuss results for the Riemann problem, as well as initial conditions leading to a first and second order phase transition. In particular, we unravel the mechanism underlying first order phase transitions, based on the formation of a shock in the derivative of the effective potential.","authors_text":"Eduardo Grossi, Nicolas Wink","cross_cats":["cond-mat.stat-mech","hep-ph","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-22T13:35:45Z","title":"Resolving phase transitions with Discontinuous Galerkin methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09503","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":"sha256:525da827df9ef69220da5465577cc6b8c983d5cf1459298b4db5702c817b8910","target":"record","created_at":"2026-07-05T05:16:29Z","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":"3fa4f1c4e3e605cef5ce27873dd65fe3a48b563ad1fa2a838ec7cd04a139190a","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-22T13:35:45Z","title_canon_sha256":"5a30f0cc788b0c75b264b6ec3d71da77a0b18860e1477745a07473a9e44ecd39"},"schema_version":"1.0","source":{"id":"1903.09503","kind":"arxiv","version":4}},"canonical_sha256":"37b6ffeee5977afe5c745e2c948c52c44511c35e4e4e799137806b3e948bf5c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37b6ffeee5977afe5c745e2c948c52c44511c35e4e4e799137806b3e948bf5c3","first_computed_at":"2026-07-05T05:16:29.333311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:16:29.333311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Io4ksW79ok6jroHpTfpjiTNZtErSc/w4ydhelLvLLpvAU4x0z+MukEr+IIbSFnWdKZFWz9xdq6ztXLXYNdw3CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:16:29.333870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09503","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:525da827df9ef69220da5465577cc6b8c983d5cf1459298b4db5702c817b8910","sha256:29963dc15279fb465cf8dffd3ff1a1b41007123a7e3ed21d9a31725cc0bdd5db"],"state_sha256":"5af3c70f6223cce0a0a626a3feb56e4970a64a21262ae1d8caf8015dfd4fe3bc"}