{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BS2EBKX7XMBJVN6MIN2PBX4Q3X","short_pith_number":"pith:BS2EBKX7","canonical_record":{"source":{"id":"1710.08137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-10-23T08:15:07Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"140ab6b6333ee2716216936755c1b22869f345d06ee556497a9fe493a043fd6b","abstract_canon_sha256":"7e0b68ffad39a64c80842e0548826c1f58cd30afbd77d03511a6e4d164805528"},"schema_version":"1.0"},"canonical_sha256":"0cb440aaffbb029ab7cc4374f0df90ddd6bcd46ff31b1212e231a2dc8c346a50","source":{"kind":"arxiv","id":"1710.08137","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08137","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08137v1","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08137","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"pith_short_12","alias_value":"BS2EBKX7XMBJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BS2EBKX7XMBJVN6M","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BS2EBKX7","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BS2EBKX7XMBJVN6MIN2PBX4Q3X","target":"record","payload":{"canonical_record":{"source":{"id":"1710.08137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-10-23T08:15:07Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"140ab6b6333ee2716216936755c1b22869f345d06ee556497a9fe493a043fd6b","abstract_canon_sha256":"7e0b68ffad39a64c80842e0548826c1f58cd30afbd77d03511a6e4d164805528"},"schema_version":"1.0"},"canonical_sha256":"0cb440aaffbb029ab7cc4374f0df90ddd6bcd46ff31b1212e231a2dc8c346a50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:49.081431Z","signature_b64":"8qZQATyNWmpdy+abzuEGKutV9m0YiPpokZxipyHbAMAMUpkBRmMCc3JpbBh2LF7N26Ft9JEd8Y3/kmVUsmOhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cb440aaffbb029ab7cc4374f0df90ddd6bcd46ff31b1212e231a2dc8c346a50","last_reissued_at":"2026-05-18T00:19:49.080675Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:49.080675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.08137","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":"2026-05-18T00:19:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJOGDhrMd6M/rKdZ29tXLWDAZ6uK+1ZlAYmRAgnIK/xds+NmB4Ocmq6ews+FYjqmFeodSArRBMHSXklHWA5yDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:15:03.386730Z"},"content_sha256":"874ff401e5629d89ae4baefb3019befc550cf3e769222afa09d008125e19c462","schema_version":"1.0","event_id":"sha256:874ff401e5629d89ae4baefb3019befc550cf3e769222afa09d008125e19c462"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BS2EBKX7XMBJVN6MIN2PBX4Q3X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phases of a strongly coupled four-fermion theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-lat","authors_text":"David Schaich, Simon Catterall","submitted_at":"2017-10-23T08:15:07Z","abstract_excerpt":"We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant four-fermion interaction. As in previous studies of four-fermion and Higgs--Yukawa models with different lattice fermion discretizations, we observe a strong-coupling phase in which the system develops a mass gap without breaking any lattice symmetry. This symmetric strong-coupling phase is separated from the symmetric weak-coupling phase by a narrow region of four-fermi coupling in which the system exhibits long-range correlations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08137","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":""},"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":"2026-05-18T00:19:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4cm1Git+8X+NkFfsJd71/IKzj6ZNEZnqJH60EhbMS3fsMAAhegIPwqxmTQPojOmhao/Ugg8gx6VMm4CesHRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:15:03.387454Z"},"content_sha256":"6da2096171df28802decbbf58056dbc1cf1f4bf086a7814e7bb1478a5ce0ab91","schema_version":"1.0","event_id":"sha256:6da2096171df28802decbbf58056dbc1cf1f4bf086a7814e7bb1478a5ce0ab91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X/bundle.json","state_url":"https://pith.science/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X/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":"2026-06-07T16:15:03Z","links":{"resolver":"https://pith.science/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X","bundle":"https://pith.science/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X/bundle.json","state":"https://pith.science/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BS2EBKX7XMBJVN6MIN2PBX4Q3X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BS2EBKX7XMBJVN6MIN2PBX4Q3X","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":"7e0b68ffad39a64c80842e0548826c1f58cd30afbd77d03511a6e4d164805528","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-10-23T08:15:07Z","title_canon_sha256":"140ab6b6333ee2716216936755c1b22869f345d06ee556497a9fe493a043fd6b"},"schema_version":"1.0","source":{"id":"1710.08137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08137","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08137v1","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08137","created_at":"2026-05-18T00:19:49Z"},{"alias_kind":"pith_short_12","alias_value":"BS2EBKX7XMBJ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BS2EBKX7XMBJVN6M","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BS2EBKX7","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:6da2096171df28802decbbf58056dbc1cf1f4bf086a7814e7bb1478a5ce0ab91","target":"graph","created_at":"2026-05-18T00:19:49Z","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"},"paper":{"abstract_excerpt":"We present ongoing investigations of a four-dimensional lattice field theory with four massless reduced staggered fermions coupled through an SU(4)-invariant four-fermion interaction. As in previous studies of four-fermion and Higgs--Yukawa models with different lattice fermion discretizations, we observe a strong-coupling phase in which the system develops a mass gap without breaking any lattice symmetry. This symmetric strong-coupling phase is separated from the symmetric weak-coupling phase by a narrow region of four-fermi coupling in which the system exhibits long-range correlations.","authors_text":"David Schaich, Simon Catterall","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-10-23T08:15:07Z","title":"Phases of a strongly coupled four-fermion theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08137","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":"sha256:874ff401e5629d89ae4baefb3019befc550cf3e769222afa09d008125e19c462","target":"record","created_at":"2026-05-18T00:19:49Z","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":"7e0b68ffad39a64c80842e0548826c1f58cd30afbd77d03511a6e4d164805528","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-10-23T08:15:07Z","title_canon_sha256":"140ab6b6333ee2716216936755c1b22869f345d06ee556497a9fe493a043fd6b"},"schema_version":"1.0","source":{"id":"1710.08137","kind":"arxiv","version":1}},"canonical_sha256":"0cb440aaffbb029ab7cc4374f0df90ddd6bcd46ff31b1212e231a2dc8c346a50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cb440aaffbb029ab7cc4374f0df90ddd6bcd46ff31b1212e231a2dc8c346a50","first_computed_at":"2026-05-18T00:19:49.080675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:49.080675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8qZQATyNWmpdy+abzuEGKutV9m0YiPpokZxipyHbAMAMUpkBRmMCc3JpbBh2LF7N26Ft9JEd8Y3/kmVUsmOhAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:49.081431Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:874ff401e5629d89ae4baefb3019befc550cf3e769222afa09d008125e19c462","sha256:6da2096171df28802decbbf58056dbc1cf1f4bf086a7814e7bb1478a5ce0ab91"],"state_sha256":"2af993c0f50584887686d154fc377019868c67b7c402465b279845b965fc58e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6EQo3Be9CeL6Dw/o0TlmvlBBWH7sq+dWaoWQ8yq89W3t3zDgTijZDpsOw0k9OcVSjpE51/iE6t5zNeopKI01Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:15:03.392341Z","bundle_sha256":"8f3708846c8a97e1d2fba5133af017ffd4acd22e9e253450809b834ab35d7b59"}}