{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:Q7JWM2ENN7K352642XRQWQSNGK","short_pith_number":"pith:Q7JWM2EN","canonical_record":{"source":{"id":"2209.02734","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-09-06T18:00:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4769e2324cf7395f702b5d772b9a7a5efcd477a0e0bbd237101cdc4623a53077","abstract_canon_sha256":"8a482062d6e501e1dd7fed788117a21e916590d9268aabb6a15b397054da97eb"},"schema_version":"1.0"},"canonical_sha256":"87d366688d6fd5beebdcd5e30b424d32acfb67c2ad682452d151756c47f24c98","source":{"kind":"arxiv","id":"2209.02734","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.02734","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"2209.02734v2","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.02734","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"Q7JWM2ENN7K3","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"pith_short_16","alias_value":"Q7JWM2ENN7K35264","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"pith_short_8","alias_value":"Q7JWM2EN","created_at":"2026-07-05T06:16:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:Q7JWM2ENN7K352642XRQWQSNGK","target":"record","payload":{"canonical_record":{"source":{"id":"2209.02734","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-09-06T18:00:16Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"4769e2324cf7395f702b5d772b9a7a5efcd477a0e0bbd237101cdc4623a53077","abstract_canon_sha256":"8a482062d6e501e1dd7fed788117a21e916590d9268aabb6a15b397054da97eb"},"schema_version":"1.0"},"canonical_sha256":"87d366688d6fd5beebdcd5e30b424d32acfb67c2ad682452d151756c47f24c98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:16:11.612167Z","signature_b64":"74kiSpE65a2bda9yHfEd+roloCUjfNQKvxdLzJdLP5qZoT/+ynx5pZKsz0lon5dRRmhiTuutBhUNuIDxEDgKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87d366688d6fd5beebdcd5e30b424d32acfb67c2ad682452d151756c47f24c98","last_reissued_at":"2026-07-05T06:16:11.611716Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:16:11.611716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.02734","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":"2026-07-05T06:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wA2Pss627lb/EFSQYWETubsojNtZ+O25K2AKOJJmFHruReAQ2mj5+I3YAJmc0QHxw+9Pq5agpoQe/hnL65tGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:15:32.181289Z"},"content_sha256":"21eb93cae4ab2094fc8d9717b14a0045af7e7b545ed5430f32b69b5cab7b064d","schema_version":"1.0","event_id":"sha256:21eb93cae4ab2094fc8d9717b14a0045af7e7b545ed5430f32b69b5cab7b064d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:Q7JWM2ENN7K352642XRQWQSNGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gross-Neveu-Heisenberg criticality from $2+\\boldsymbol{\\epsilon}$ expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Konstantinos Ladovrechis, Lukas Janssen, Shouryya Ray, Tobias Meng","submitted_at":"2022-09-06T18:00:16Z","abstract_excerpt":"The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points have originally been discussed in the context of Hubbard models on $\\pi$-flux and honeycomb lattices, but more recently also in Bernal-stacked bilayer models, of potential relevance for bilayer graphene. Here, we demonstrate how the critical behavior of this fermionic universality class can be computed within an $\\epsilon$ expansion around the lower critical space-time dimension of two. This approach is compleme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.02734","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/2209.02734/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":"2026-07-05T06:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZW/K6nwijTsXs5ix184x/lftdhzVlN0BCoZQHz2Ydot12ELtDM/ATAqXHbrhPTeBCAtxK3Qycyd5EeLYETrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:15:32.182117Z"},"content_sha256":"86442f3b99271915085e242008a780eff8bc0f0b845c63922b01bbb4bc8ebc5f","schema_version":"1.0","event_id":"sha256:86442f3b99271915085e242008a780eff8bc0f0b845c63922b01bbb4bc8ebc5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q7JWM2ENN7K352642XRQWQSNGK/bundle.json","state_url":"https://pith.science/pith/Q7JWM2ENN7K352642XRQWQSNGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q7JWM2ENN7K352642XRQWQSNGK/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":"2026-08-04T05:15:32Z","links":{"resolver":"https://pith.science/pith/Q7JWM2ENN7K352642XRQWQSNGK","bundle":"https://pith.science/pith/Q7JWM2ENN7K352642XRQWQSNGK/bundle.json","state":"https://pith.science/pith/Q7JWM2ENN7K352642XRQWQSNGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q7JWM2ENN7K352642XRQWQSNGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:Q7JWM2ENN7K352642XRQWQSNGK","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":"8a482062d6e501e1dd7fed788117a21e916590d9268aabb6a15b397054da97eb","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-09-06T18:00:16Z","title_canon_sha256":"4769e2324cf7395f702b5d772b9a7a5efcd477a0e0bbd237101cdc4623a53077"},"schema_version":"1.0","source":{"id":"2209.02734","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.02734","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"2209.02734v2","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.02734","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"Q7JWM2ENN7K3","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"pith_short_16","alias_value":"Q7JWM2ENN7K35264","created_at":"2026-07-05T06:16:11Z"},{"alias_kind":"pith_short_8","alias_value":"Q7JWM2EN","created_at":"2026-07-05T06:16:11Z"}],"graph_snapshots":[{"event_id":"sha256:86442f3b99271915085e242008a780eff8bc0f0b845c63922b01bbb4bc8ebc5f","target":"graph","created_at":"2026-07-05T06:16:11Z","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/2209.02734/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points have originally been discussed in the context of Hubbard models on $\\pi$-flux and honeycomb lattices, but more recently also in Bernal-stacked bilayer models, of potential relevance for bilayer graphene. Here, we demonstrate how the critical behavior of this fermionic universality class can be computed within an $\\epsilon$ expansion around the lower critical space-time dimension of two. This approach is compleme","authors_text":"Konstantinos Ladovrechis, Lukas Janssen, Shouryya Ray, Tobias Meng","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-09-06T18:00:16Z","title":"Gross-Neveu-Heisenberg criticality from $2+\\boldsymbol{\\epsilon}$ expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.02734","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":"sha256:21eb93cae4ab2094fc8d9717b14a0045af7e7b545ed5430f32b69b5cab7b064d","target":"record","created_at":"2026-07-05T06:16:11Z","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":"8a482062d6e501e1dd7fed788117a21e916590d9268aabb6a15b397054da97eb","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-09-06T18:00:16Z","title_canon_sha256":"4769e2324cf7395f702b5d772b9a7a5efcd477a0e0bbd237101cdc4623a53077"},"schema_version":"1.0","source":{"id":"2209.02734","kind":"arxiv","version":2}},"canonical_sha256":"87d366688d6fd5beebdcd5e30b424d32acfb67c2ad682452d151756c47f24c98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87d366688d6fd5beebdcd5e30b424d32acfb67c2ad682452d151756c47f24c98","first_computed_at":"2026-07-05T06:16:11.611716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:16:11.611716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"74kiSpE65a2bda9yHfEd+roloCUjfNQKvxdLzJdLP5qZoT/+ynx5pZKsz0lon5dRRmhiTuutBhUNuIDxEDgKCA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:16:11.612167Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.02734","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21eb93cae4ab2094fc8d9717b14a0045af7e7b545ed5430f32b69b5cab7b064d","sha256:86442f3b99271915085e242008a780eff8bc0f0b845c63922b01bbb4bc8ebc5f"],"state_sha256":"a206a2734a572621d551610ee75f566e04b7d06a688714f3d62e11a21fb3ac2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yode0ktFy0hkZegjlwstAIfM0p5TULEibakd8j8jbUfUcEEZVx+sRqB6ibgnhjtEc0ck5q2kPoOgoLlMcOm9Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:15:32.187041Z","bundle_sha256":"0984dfa6a6737e622d01f0969bcecc6439984303a0c43e31e5ce3d2717273759"}}