{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:PEN3UGIPH555UDW6KRXC47HAI3","short_pith_number":"pith:PEN3UGIP","canonical_record":{"source":{"id":"2103.08434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-03-15T15:04:39Z","cross_cats_sorted":[],"title_canon_sha256":"ed0490e488cd8395174d07a4a8488e31b61fee500ada18abaa8e12341edaeaf4","abstract_canon_sha256":"1ada83f22aad5f5effb093114b78dbb131fb11e876927ca14c58e1a54b39c776"},"schema_version":"1.0"},"canonical_sha256":"791bba190f3f7bda0ede546e2e7ce046deab9b47403395f404e9ac629f638fda","source":{"kind":"arxiv","id":"2103.08434","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.08434","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"2103.08434v2","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.08434","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"PEN3UGIPH555","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_16","alias_value":"PEN3UGIPH555UDW6","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_8","alias_value":"PEN3UGIP","created_at":"2026-07-05T02:57:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:PEN3UGIPH555UDW6KRXC47HAI3","target":"record","payload":{"canonical_record":{"source":{"id":"2103.08434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-03-15T15:04:39Z","cross_cats_sorted":[],"title_canon_sha256":"ed0490e488cd8395174d07a4a8488e31b61fee500ada18abaa8e12341edaeaf4","abstract_canon_sha256":"1ada83f22aad5f5effb093114b78dbb131fb11e876927ca14c58e1a54b39c776"},"schema_version":"1.0"},"canonical_sha256":"791bba190f3f7bda0ede546e2e7ce046deab9b47403395f404e9ac629f638fda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:57:44.288943Z","signature_b64":"/G4efP2Q4hTeulR7IQrdrzShSmvJnmRWzG3Sk2fY64cyCxp2bINtAb6/WoMZhgXdShifLjvqaZsxHxBtQzpZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"791bba190f3f7bda0ede546e2e7ce046deab9b47403395f404e9ac629f638fda","last_reissued_at":"2026-07-05T02:57:44.288589Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:57:44.288589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.08434","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":"2026-07-05T02:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xtc1h+BzXufcpai6yC3REqHdZzak5nqKKVtRqSWSVB8g9i80LiQV9Ei+KieUl1REyqji62PyrkQvLCb+WJe2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:50:45.641441Z"},"content_sha256":"8c487146c504b5961acb10bdab468a0a0f71d4bd3208333c6f2fe36add46a61b","schema_version":"1.0","event_id":"sha256:8c487146c504b5961acb10bdab468a0a0f71d4bd3208333c6f2fe36add46a61b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:PEN3UGIPH555UDW6KRXC47HAI3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gross-Neveu Heisenberg criticality: dynamical generation of quantum spin Hall masses","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fakher F. Assaad, Toshihiro Sato, Wenan Guo, Yuhai Liu, Zhenjiu Wang","submitted_at":"2021-03-15T15:04:39Z","abstract_excerpt":"We consider fermions on a honeycomb lattice supplemented by a spin invariant interaction that dynamically generates a quantum spin Hall insulator. This lattice model provides an instance of Gross-Neveu Heisenberg criticality, as realized for example by the Hubbard model on the honeycomb lattice. Using auxiliary field quantum Monte Carlo simulations we show that we can compute with unprecedented precision susceptibilities of the order parameter. In O(N) Gross-Neveu transitions, the anomalous dimension of the bosonic mode grows as a function of N such that in the large-N limit it is of particula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.08434","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/2103.08434/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":"2026-07-05T02:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g9LzVAdpl4ZcuHqCNF/SSa69kLHw4UbuUGbE9RHjvVKzj8/ViNX3BISoDHirfL0FsOf1EKi0K7vDfH89dLJzDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:50:45.642066Z"},"content_sha256":"37f67232236fecc6a1380b45ac802c0b94ee2c57301b4437ed499332ddc84158","schema_version":"1.0","event_id":"sha256:37f67232236fecc6a1380b45ac802c0b94ee2c57301b4437ed499332ddc84158"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PEN3UGIPH555UDW6KRXC47HAI3/bundle.json","state_url":"https://pith.science/pith/PEN3UGIPH555UDW6KRXC47HAI3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PEN3UGIPH555UDW6KRXC47HAI3/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":"2026-07-06T20:50:45Z","links":{"resolver":"https://pith.science/pith/PEN3UGIPH555UDW6KRXC47HAI3","bundle":"https://pith.science/pith/PEN3UGIPH555UDW6KRXC47HAI3/bundle.json","state":"https://pith.science/pith/PEN3UGIPH555UDW6KRXC47HAI3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PEN3UGIPH555UDW6KRXC47HAI3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PEN3UGIPH555UDW6KRXC47HAI3","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":"1ada83f22aad5f5effb093114b78dbb131fb11e876927ca14c58e1a54b39c776","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-03-15T15:04:39Z","title_canon_sha256":"ed0490e488cd8395174d07a4a8488e31b61fee500ada18abaa8e12341edaeaf4"},"schema_version":"1.0","source":{"id":"2103.08434","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.08434","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"2103.08434v2","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.08434","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"PEN3UGIPH555","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_16","alias_value":"PEN3UGIPH555UDW6","created_at":"2026-07-05T02:57:44Z"},{"alias_kind":"pith_short_8","alias_value":"PEN3UGIP","created_at":"2026-07-05T02:57:44Z"}],"graph_snapshots":[{"event_id":"sha256:37f67232236fecc6a1380b45ac802c0b94ee2c57301b4437ed499332ddc84158","target":"graph","created_at":"2026-07-05T02:57:44Z","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/2103.08434/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider fermions on a honeycomb lattice supplemented by a spin invariant interaction that dynamically generates a quantum spin Hall insulator. This lattice model provides an instance of Gross-Neveu Heisenberg criticality, as realized for example by the Hubbard model on the honeycomb lattice. Using auxiliary field quantum Monte Carlo simulations we show that we can compute with unprecedented precision susceptibilities of the order parameter. In O(N) Gross-Neveu transitions, the anomalous dimension of the bosonic mode grows as a function of N such that in the large-N limit it is of particula","authors_text":"Fakher F. Assaad, Toshihiro Sato, Wenan Guo, Yuhai Liu, Zhenjiu Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-03-15T15:04:39Z","title":"Gross-Neveu Heisenberg criticality: dynamical generation of quantum spin Hall masses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.08434","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":"sha256:8c487146c504b5961acb10bdab468a0a0f71d4bd3208333c6f2fe36add46a61b","target":"record","created_at":"2026-07-05T02:57:44Z","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":"1ada83f22aad5f5effb093114b78dbb131fb11e876927ca14c58e1a54b39c776","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-03-15T15:04:39Z","title_canon_sha256":"ed0490e488cd8395174d07a4a8488e31b61fee500ada18abaa8e12341edaeaf4"},"schema_version":"1.0","source":{"id":"2103.08434","kind":"arxiv","version":2}},"canonical_sha256":"791bba190f3f7bda0ede546e2e7ce046deab9b47403395f404e9ac629f638fda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"791bba190f3f7bda0ede546e2e7ce046deab9b47403395f404e9ac629f638fda","first_computed_at":"2026-07-05T02:57:44.288589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:57:44.288589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/G4efP2Q4hTeulR7IQrdrzShSmvJnmRWzG3Sk2fY64cyCxp2bINtAb6/WoMZhgXdShifLjvqaZsxHxBtQzpZDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:57:44.288943Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.08434","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c487146c504b5961acb10bdab468a0a0f71d4bd3208333c6f2fe36add46a61b","sha256:37f67232236fecc6a1380b45ac802c0b94ee2c57301b4437ed499332ddc84158"],"state_sha256":"c4e451c90634b869b9d0afb3185ddcf55206c3f1632f69b18e111859c785156b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShfF7g7Hk1mN2ot3a8wIuzB0kmWCCRJzcPXhJsQfebcnUCOAz99I+StF3Vg5X1eobEBq29sqt8Bg1ehKv3+1Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:50:45.643983Z","bundle_sha256":"d28f97bc27080af058b49a8ea0c4dbe7b6b3970fcad5cf7dbb1fe726e60883ba"}}