{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LHS7NRLN2EWV3YQ45T5BVJCW24","short_pith_number":"pith:LHS7NRLN","canonical_record":{"source":{"id":"1207.6783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-29T16:11:34Z","cross_cats_sorted":["cond-mat.str-el","math.MP"],"title_canon_sha256":"9b552286115c4d87b7f364d8c053a85bb999140cd146203f89bea22aa64d0cd7","abstract_canon_sha256":"be1cb73fac8e62e336fca5d4bb20651d3c69cf3f3f3c9ccfc576783b479b20fa"},"schema_version":"1.0"},"canonical_sha256":"59e5f6c56dd12d5de21cecfa1aa456d71f1e4d733ee48f114c614ef73565cb38","source":{"kind":"arxiv","id":"1207.6783","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6783","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6783v1","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6783","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"pith_short_12","alias_value":"LHS7NRLN2EWV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LHS7NRLN2EWV3YQ4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LHS7NRLN","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LHS7NRLN2EWV3YQ45T5BVJCW24","target":"record","payload":{"canonical_record":{"source":{"id":"1207.6783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-29T16:11:34Z","cross_cats_sorted":["cond-mat.str-el","math.MP"],"title_canon_sha256":"9b552286115c4d87b7f364d8c053a85bb999140cd146203f89bea22aa64d0cd7","abstract_canon_sha256":"be1cb73fac8e62e336fca5d4bb20651d3c69cf3f3f3c9ccfc576783b479b20fa"},"schema_version":"1.0"},"canonical_sha256":"59e5f6c56dd12d5de21cecfa1aa456d71f1e4d733ee48f114c614ef73565cb38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:18.720521Z","signature_b64":"AcYNS2KYqIPPBD+lWOk6c/+EDFe78c6iPDxm0kV/bTgi+95WyBRUdjZLYnmyEN++f41G+eknKFuDprcZrwx/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59e5f6c56dd12d5de21cecfa1aa456d71f1e4d733ee48f114c614ef73565cb38","last_reissued_at":"2026-05-18T03:15:18.719937Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:18.719937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.6783","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":"2026-05-18T03:15:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4wzGsSBi7+hmZUIPk4xhsf2CbJH7b91WJXWxJdBEEv2bvGgj09PUf7kWvqdRDWUMzzMh9g53VmBprWY/DPvXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:31:10.599105Z"},"content_sha256":"d74f0164efe7f7958ff4375e69e1e3c9bdbfe390b1b6cde764607f22e9dbbb36","schema_version":"1.0","event_id":"sha256:d74f0164efe7f7958ff4375e69e1e3c9bdbfe390b1b6cde764607f22e9dbbb36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LHS7NRLN2EWV3YQ45T5BVJCW24","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermions in two dimensions, bosonization, and exactly solvable models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math.MP"],"primary_cat":"math-ph","authors_text":"Edwin Langmann, Jonas de Woul","submitted_at":"2012-07-29T16:11:34Z","abstract_excerpt":"We discuss interacting fermion models in two dimensions, and, in particular, such that can be solved exactly by bosonization. One solvable model of this kind was proposed by Mattis as an effective description of fermions on a square lattice. We review recent work on a specific relation between a variant of Mattis' model and such a lattice fermion system, as well as the exact solution of this model. The background for this work includes well-established results for one-dimensional systems and the high-Tc problem. We also mention exactly solvable extensions of Mattis' model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6783","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":"2026-05-18T03:15:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/y8EicIx6XIFUoo9w1M+RyTnwPoLoQqlZL7J2YW77tvSnZsHRFXKjmLlVaFaFKLnr9uYSj5RF6EAX59AFlT5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:31:10.599764Z"},"content_sha256":"4ea6675ec85c06ce3e4729a330158eebf8e1a0e11bc5651d499784a9fa3db6f4","schema_version":"1.0","event_id":"sha256:4ea6675ec85c06ce3e4729a330158eebf8e1a0e11bc5651d499784a9fa3db6f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LHS7NRLN2EWV3YQ45T5BVJCW24/bundle.json","state_url":"https://pith.science/pith/LHS7NRLN2EWV3YQ45T5BVJCW24/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LHS7NRLN2EWV3YQ45T5BVJCW24/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":"2026-05-28T16:31:10Z","links":{"resolver":"https://pith.science/pith/LHS7NRLN2EWV3YQ45T5BVJCW24","bundle":"https://pith.science/pith/LHS7NRLN2EWV3YQ45T5BVJCW24/bundle.json","state":"https://pith.science/pith/LHS7NRLN2EWV3YQ45T5BVJCW24/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LHS7NRLN2EWV3YQ45T5BVJCW24/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LHS7NRLN2EWV3YQ45T5BVJCW24","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":"be1cb73fac8e62e336fca5d4bb20651d3c69cf3f3f3c9ccfc576783b479b20fa","cross_cats_sorted":["cond-mat.str-el","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-29T16:11:34Z","title_canon_sha256":"9b552286115c4d87b7f364d8c053a85bb999140cd146203f89bea22aa64d0cd7"},"schema_version":"1.0","source":{"id":"1207.6783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6783","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6783v1","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6783","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"pith_short_12","alias_value":"LHS7NRLN2EWV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LHS7NRLN2EWV3YQ4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LHS7NRLN","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:4ea6675ec85c06ce3e4729a330158eebf8e1a0e11bc5651d499784a9fa3db6f4","target":"graph","created_at":"2026-05-18T03:15:18Z","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 discuss interacting fermion models in two dimensions, and, in particular, such that can be solved exactly by bosonization. One solvable model of this kind was proposed by Mattis as an effective description of fermions on a square lattice. We review recent work on a specific relation between a variant of Mattis' model and such a lattice fermion system, as well as the exact solution of this model. The background for this work includes well-established results for one-dimensional systems and the high-Tc problem. We also mention exactly solvable extensions of Mattis' model.","authors_text":"Edwin Langmann, Jonas de Woul","cross_cats":["cond-mat.str-el","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-29T16:11:34Z","title":"Fermions in two dimensions, bosonization, and exactly solvable models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6783","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:d74f0164efe7f7958ff4375e69e1e3c9bdbfe390b1b6cde764607f22e9dbbb36","target":"record","created_at":"2026-05-18T03:15:18Z","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":"be1cb73fac8e62e336fca5d4bb20651d3c69cf3f3f3c9ccfc576783b479b20fa","cross_cats_sorted":["cond-mat.str-el","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-29T16:11:34Z","title_canon_sha256":"9b552286115c4d87b7f364d8c053a85bb999140cd146203f89bea22aa64d0cd7"},"schema_version":"1.0","source":{"id":"1207.6783","kind":"arxiv","version":1}},"canonical_sha256":"59e5f6c56dd12d5de21cecfa1aa456d71f1e4d733ee48f114c614ef73565cb38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59e5f6c56dd12d5de21cecfa1aa456d71f1e4d733ee48f114c614ef73565cb38","first_computed_at":"2026-05-18T03:15:18.719937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:18.719937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AcYNS2KYqIPPBD+lWOk6c/+EDFe78c6iPDxm0kV/bTgi+95WyBRUdjZLYnmyEN++f41G+eknKFuDprcZrwx/DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:18.720521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6783","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d74f0164efe7f7958ff4375e69e1e3c9bdbfe390b1b6cde764607f22e9dbbb36","sha256:4ea6675ec85c06ce3e4729a330158eebf8e1a0e11bc5651d499784a9fa3db6f4"],"state_sha256":"320b5f5138eca87ebe91c232171abdd8a6cf03f85240989f3bec6972cda52fc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UCwtcKiyZPprspFz2y0HBO0Cj9f44JEeYvAt5LSvs9jxxapO8mI0wok3NBuAjPD7GJv9Lp0sURaULIhkNqubBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T16:31:10.602063Z","bundle_sha256":"0e988f4062c2ad9e619d31cbfdce18291cc62a16b7eace41d41ce979ed3de7f0"}}