{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:X4CEQJ6C6IG227WEDFY2GGB6HB","short_pith_number":"pith:X4CEQJ6C","canonical_record":{"source":{"id":"2602.21705","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-02-25T09:11:02Z","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"title_canon_sha256":"93fb2eecd8a41d8b401c061d430bf55ba4c37075b023a59be706ebaec83dc94c","abstract_canon_sha256":"e42edf25ed3e75b9bca5f103a70df18f5569cc42b85f65dac1b75398f992522b"},"schema_version":"1.0"},"canonical_sha256":"bf044827c2f20dad7ec41971a3183e387455ff9b6fe32fc319c2c06010aed5a4","source":{"kind":"arxiv","id":"2602.21705","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.21705","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"2602.21705v2","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.21705","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"X4CEQJ6C6IG2","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"pith_short_16","alias_value":"X4CEQJ6C6IG227WE","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"pith_short_8","alias_value":"X4CEQJ6C","created_at":"2026-06-11T01:09:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:X4CEQJ6C6IG227WEDFY2GGB6HB","target":"record","payload":{"canonical_record":{"source":{"id":"2602.21705","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-02-25T09:11:02Z","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"title_canon_sha256":"93fb2eecd8a41d8b401c061d430bf55ba4c37075b023a59be706ebaec83dc94c","abstract_canon_sha256":"e42edf25ed3e75b9bca5f103a70df18f5569cc42b85f65dac1b75398f992522b"},"schema_version":"1.0"},"canonical_sha256":"bf044827c2f20dad7ec41971a3183e387455ff9b6fe32fc319c2c06010aed5a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:09:31.439247Z","signature_b64":"yVljG+sgLNJMzLpGlhV68pCWA459r9sXlG1Znjac1qH7L29XKwEvpgYk+GtutaczXH/i6cI2V30ouWPZWzDAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf044827c2f20dad7ec41971a3183e387455ff9b6fe32fc319c2c06010aed5a4","last_reissued_at":"2026-06-11T01:09:31.438237Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:09:31.438237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.21705","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":"2026-06-11T01:09:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EuR81gTrxKun88opG/qOmHe/gPXggIbu5zZfJxB4Zivptf8FTFcMEbZpKVI0/eJiT30nxnZRD86mjK0xn4nfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:28:11.611222Z"},"content_sha256":"3c0e19b15a6f17dd4bc047b540bd7e495069f431ac32d69b2dc3f443396fb53c","schema_version":"1.0","event_id":"sha256:3c0e19b15a6f17dd4bc047b540bd7e495069f431ac32d69b2dc3f443396fb53c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:X4CEQJ6C6IG227WEDFY2GGB6HB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","nucl-th"],"primary_cat":"hep-lat","authors_text":"Jian-Gang Kong, Shinichiro Akiyama, Tao Shi, Z. Y. Xie","submitted_at":"2026-02-25T09:11:02Z","abstract_excerpt":"We investigate the phase structure of the single-flavor Gross--Neveu model with Wilson fermions using the Grassmann corner transfer matrix renormalization group (CTMRG). The path integral is formulated as a two-dimensional Grassmann tensor network and approximately contracted by the Grassmann CTMRG algorithm. We investigate the phase diagram by varying the fermion mass and the four-fermion coupling, using the pseudoscalar condensate as an order parameter for the $\\mathbb{Z}_{2}$ parity symmetry breaking phase. The universality classes of the phase boundaries are identified through the central "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.21705","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/2602.21705/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":"2026-06-11T01:09:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qfU5+tuFMQdoyOYjrptBY7oJWLCs8dywEhaLhHP75a+Su2M/O5i0LKjeQ0rHa0W/vXUZ9XXbvLG3KCKSl4MNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:28:11.611770Z"},"content_sha256":"73336f041b882c63a1bd48d9ee80dac8df35d4f3aa01c57c49a1aa195ef7cefb","schema_version":"1.0","event_id":"sha256:73336f041b882c63a1bd48d9ee80dac8df35d4f3aa01c57c49a1aa195ef7cefb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X4CEQJ6C6IG227WEDFY2GGB6HB/bundle.json","state_url":"https://pith.science/pith/X4CEQJ6C6IG227WEDFY2GGB6HB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X4CEQJ6C6IG227WEDFY2GGB6HB/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":"2026-08-04T19:28:11Z","links":{"resolver":"https://pith.science/pith/X4CEQJ6C6IG227WEDFY2GGB6HB","bundle":"https://pith.science/pith/X4CEQJ6C6IG227WEDFY2GGB6HB/bundle.json","state":"https://pith.science/pith/X4CEQJ6C6IG227WEDFY2GGB6HB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X4CEQJ6C6IG227WEDFY2GGB6HB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:X4CEQJ6C6IG227WEDFY2GGB6HB","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":"e42edf25ed3e75b9bca5f103a70df18f5569cc42b85f65dac1b75398f992522b","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-02-25T09:11:02Z","title_canon_sha256":"93fb2eecd8a41d8b401c061d430bf55ba4c37075b023a59be706ebaec83dc94c"},"schema_version":"1.0","source":{"id":"2602.21705","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.21705","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"2602.21705v2","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.21705","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"X4CEQJ6C6IG2","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"pith_short_16","alias_value":"X4CEQJ6C6IG227WE","created_at":"2026-06-11T01:09:31Z"},{"alias_kind":"pith_short_8","alias_value":"X4CEQJ6C","created_at":"2026-06-11T01:09:31Z"}],"graph_snapshots":[{"event_id":"sha256:73336f041b882c63a1bd48d9ee80dac8df35d4f3aa01c57c49a1aa195ef7cefb","target":"graph","created_at":"2026-06-11T01:09:31Z","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/2602.21705/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the phase structure of the single-flavor Gross--Neveu model with Wilson fermions using the Grassmann corner transfer matrix renormalization group (CTMRG). The path integral is formulated as a two-dimensional Grassmann tensor network and approximately contracted by the Grassmann CTMRG algorithm. We investigate the phase diagram by varying the fermion mass and the four-fermion coupling, using the pseudoscalar condensate as an order parameter for the $\\mathbb{Z}_{2}$ parity symmetry breaking phase. The universality classes of the phase boundaries are identified through the central ","authors_text":"Jian-Gang Kong, Shinichiro Akiyama, Tao Shi, Z. Y. Xie","cross_cats":["cond-mat.str-el","nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-02-25T09:11:02Z","title":"Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.21705","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":"sha256:3c0e19b15a6f17dd4bc047b540bd7e495069f431ac32d69b2dc3f443396fb53c","target":"record","created_at":"2026-06-11T01:09:31Z","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":"e42edf25ed3e75b9bca5f103a70df18f5569cc42b85f65dac1b75398f992522b","cross_cats_sorted":["cond-mat.str-el","nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2026-02-25T09:11:02Z","title_canon_sha256":"93fb2eecd8a41d8b401c061d430bf55ba4c37075b023a59be706ebaec83dc94c"},"schema_version":"1.0","source":{"id":"2602.21705","kind":"arxiv","version":2}},"canonical_sha256":"bf044827c2f20dad7ec41971a3183e387455ff9b6fe32fc319c2c06010aed5a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf044827c2f20dad7ec41971a3183e387455ff9b6fe32fc319c2c06010aed5a4","first_computed_at":"2026-06-11T01:09:31.438237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:09:31.438237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yVljG+sgLNJMzLpGlhV68pCWA459r9sXlG1Znjac1qH7L29XKwEvpgYk+GtutaczXH/i6cI2V30ouWPZWzDAAg==","signature_status":"signed_v1","signed_at":"2026-06-11T01:09:31.439247Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.21705","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c0e19b15a6f17dd4bc047b540bd7e495069f431ac32d69b2dc3f443396fb53c","sha256:73336f041b882c63a1bd48d9ee80dac8df35d4f3aa01c57c49a1aa195ef7cefb"],"state_sha256":"76c2e25cedf915695c1f173ebcc16396d95c05e0222c6e5d034c622d876ee0f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y1WaORvs3MAfGHJUfYyJBb2ZoC/F1aVJghi+C2JERIAM1u5RIH82zwTNXX/6eNiyWESnIEhSMqiOL35G/1trDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T19:28:11.618113Z","bundle_sha256":"64a25750acf9507d7c32cabb97fbd70a9972db353bd6d3d9b56f87a3237e1ee2"}}