{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WCOOSU6C5EWSMA6UQLFEEYP376","short_pith_number":"pith:WCOOSU6C","canonical_record":{"source":{"id":"2608.02280","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-03T14:14:36Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"0c5c2c7b973eab40c0872f03261c0339ebad5fc04431611b6df3bd6a3207484e","abstract_canon_sha256":"04b3741ebcf52ba00a8ebd196e5b6bb0dbb83c978cb3c7f2234c8f950eadcb2a"},"schema_version":"1.0"},"canonical_sha256":"b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40","source":{"kind":"arxiv","id":"2608.02280","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02280","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02280v1","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02280","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"WCOOSU6C5EWS","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"pith_short_16","alias_value":"WCOOSU6C5EWSMA6U","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"pith_short_8","alias_value":"WCOOSU6C","created_at":"2026-08-04T02:11:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WCOOSU6C5EWSMA6UQLFEEYP376","target":"record","payload":{"canonical_record":{"source":{"id":"2608.02280","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-03T14:14:36Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"0c5c2c7b973eab40c0872f03261c0339ebad5fc04431611b6df3bd6a3207484e","abstract_canon_sha256":"04b3741ebcf52ba00a8ebd196e5b6bb0dbb83c978cb3c7f2234c8f950eadcb2a"},"schema_version":"1.0"},"canonical_sha256":"b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:11:43.426902Z","signature_b64":"OKfQwoIFj4YCXACDs5aDVm7rUyAy0z5PwGs0d2DVNGaTweR2+1eBJ5GrLy8FoLm7Hwe5n8wB2sorX9uUnXBrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40","last_reissued_at":"2026-08-04T02:11:43.425378Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:11:43.425378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.02280","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-04T02:11:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H8Ko8wNONh/7OZnpMhgh2nyEP9a+26W9jRfvYv+LOD1bSRu7+yfDnluXOsuxGtLpX7HnnRXAl2m5HNMvQu/rBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:44:50.679512Z"},"content_sha256":"ab82dd226335631d7ce5329e7aceb718dad6d8affa690b2b4d186a7afa55ec87","schema_version":"1.0","event_id":"sha256:ab82dd226335631d7ce5329e7aceb718dad6d8affa690b2b4d186a7afa55ec87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WCOOSU6C5EWSMA6UQLFEEYP376","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The $(2+1)$-dimensional Gross-Neveu-Yukawa model at finite temperature, density, and magnetic field within the Functional Renormalization Group","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Dirk H. Rischke, Justin L.P. Mauldin","submitted_at":"2026-08-03T14:14:36Z","abstract_excerpt":"We investigate the phase diagram of the (2+1)-dimensional Gross-Neveu-Yukawa (GNY) model at finite temperature, density, and magnetic field beyond mean-field, using the Functional Renormalization Group (FRG) in the local potential approximation. Large magnetic fields result in magnetic catalysis, a dimensional reduction of the system, and enhancement of chiral symmetry breaking. We employ a hydrodynamical algorithm to solve the FRG flow equation for the effective potential, which allows for go further into the infrared region than with previously used methods. We find that the chiral condensat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02280","kind":"arxiv","version":1},"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/2608.02280/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":"2026-08-04T02:11:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4S+LqAeL3W7hfIydz+lPR1Xi25sAz01BCB/Wiev6xztiywN0COdsshfWUu3nz9pggZjls9N4HEcLZEOCHGADBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:44:50.680033Z"},"content_sha256":"dcb58790158213a44dd10410eb46e2eaf569b2d8037ec79c331e50164b39ebad","schema_version":"1.0","event_id":"sha256:dcb58790158213a44dd10410eb46e2eaf569b2d8037ec79c331e50164b39ebad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WCOOSU6C5EWSMA6UQLFEEYP376/bundle.json","state_url":"https://pith.science/pith/WCOOSU6C5EWSMA6UQLFEEYP376/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WCOOSU6C5EWSMA6UQLFEEYP376/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":"2026-08-04T14:44:50Z","links":{"resolver":"https://pith.science/pith/WCOOSU6C5EWSMA6UQLFEEYP376","bundle":"https://pith.science/pith/WCOOSU6C5EWSMA6UQLFEEYP376/bundle.json","state":"https://pith.science/pith/WCOOSU6C5EWSMA6UQLFEEYP376/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WCOOSU6C5EWSMA6UQLFEEYP376/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WCOOSU6C5EWSMA6UQLFEEYP376","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":"04b3741ebcf52ba00a8ebd196e5b6bb0dbb83c978cb3c7f2234c8f950eadcb2a","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-03T14:14:36Z","title_canon_sha256":"0c5c2c7b973eab40c0872f03261c0339ebad5fc04431611b6df3bd6a3207484e"},"schema_version":"1.0","source":{"id":"2608.02280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02280","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02280v1","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02280","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"WCOOSU6C5EWS","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"pith_short_16","alias_value":"WCOOSU6C5EWSMA6U","created_at":"2026-08-04T02:11:43Z"},{"alias_kind":"pith_short_8","alias_value":"WCOOSU6C","created_at":"2026-08-04T02:11:43Z"}],"graph_snapshots":[{"event_id":"sha256:dcb58790158213a44dd10410eb46e2eaf569b2d8037ec79c331e50164b39ebad","target":"graph","created_at":"2026-08-04T02:11:43Z","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/2608.02280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the phase diagram of the (2+1)-dimensional Gross-Neveu-Yukawa (GNY) model at finite temperature, density, and magnetic field beyond mean-field, using the Functional Renormalization Group (FRG) in the local potential approximation. Large magnetic fields result in magnetic catalysis, a dimensional reduction of the system, and enhancement of chiral symmetry breaking. We employ a hydrodynamical algorithm to solve the FRG flow equation for the effective potential, which allows for go further into the infrared region than with previously used methods. We find that the chiral condensat","authors_text":"Dirk H. Rischke, Justin L.P. Mauldin","cross_cats":["hep-th","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-03T14:14:36Z","title":"The $(2+1)$-dimensional Gross-Neveu-Yukawa model at finite temperature, density, and magnetic field within the Functional Renormalization Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02280","kind":"arxiv","version":1},"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:ab82dd226335631d7ce5329e7aceb718dad6d8affa690b2b4d186a7afa55ec87","target":"record","created_at":"2026-08-04T02:11:43Z","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":"04b3741ebcf52ba00a8ebd196e5b6bb0dbb83c978cb3c7f2234c8f950eadcb2a","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-08-03T14:14:36Z","title_canon_sha256":"0c5c2c7b973eab40c0872f03261c0339ebad5fc04431611b6df3bd6a3207484e"},"schema_version":"1.0","source":{"id":"2608.02280","kind":"arxiv","version":1}},"canonical_sha256":"b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b09ce953c2e92d2603d482ca4261fbff8b95f20e1948f2a2a39659eb5d157a40","first_computed_at":"2026-08-04T02:11:43.425378Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:11:43.425378Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OKfQwoIFj4YCXACDs5aDVm7rUyAy0z5PwGs0d2DVNGaTweR2+1eBJ5GrLy8FoLm7Hwe5n8wB2sorX9uUnXBrBA==","signature_status":"signed_v1","signed_at":"2026-08-04T02:11:43.426902Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab82dd226335631d7ce5329e7aceb718dad6d8affa690b2b4d186a7afa55ec87","sha256:dcb58790158213a44dd10410eb46e2eaf569b2d8037ec79c331e50164b39ebad"],"state_sha256":"0d37cc480073843ae434e521f97eb3225c50dffaf9daf24688ef55f44bbb3684"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ayF1QCUgu0Tf57/z8xuYDvqS5NcI36/G8ClA+Nu9YS5Kpst5AOAHHXTeLVi9u3Kz2LSdjsD7o7F/gH0Q35xABg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T14:44:50.689218Z","bundle_sha256":"dbe26da1933561ef18047dcc26a220eb1fffc5fa549b8a923079c97a6b85060d"}}