{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:JBAINME254RVO5MPEBLFBICABI","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":"7e986c78a14570c04c3d38451b3c5288be8db193792678ff1111e20c2be766bf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T11:07:07Z","title_canon_sha256":"f1bfd2b7d76f64e383a39d88196e6ef718e49c7acbfb6b603f6a2096fbca08de"},"schema_version":"1.0","source":{"id":"hep-th/0004008","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0004008","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004008v1","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004008","created_at":"2026-05-18T04:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"JBAINME254RV","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"JBAINME254RVO5MP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"JBAINME2","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:8247792dffca8ee4c3ab76919759c72ddb931db915d770519272ed19ef286f27","target":"graph","created_at":"2026-05-18T04:13:17Z","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":"It is shown that next-nearest-neighbor interactions may lead to unusual paramagnetic or ferromagnetic phases which physical content is radically different from the standard phases. Actually there are several particles described by the same quantum field in a manner similar to the species doubling of the lattice fermions. We prove the renormalizability of the theory at the one loop level.","authors_text":"A. Berard, H. Mohrbach, P. Gosselin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T11:07:07Z","title":"Bosons Doubling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004008","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:f14f14f8e8da51b7508e3db873f9732a389a251ba258c4412ee215444146d238","target":"record","created_at":"2026-05-18T04:13:17Z","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":"7e986c78a14570c04c3d38451b3c5288be8db193792678ff1111e20c2be766bf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T11:07:07Z","title_canon_sha256":"f1bfd2b7d76f64e383a39d88196e6ef718e49c7acbfb6b603f6a2096fbca08de"},"schema_version":"1.0","source":{"id":"hep-th/0004008","kind":"arxiv","version":1}},"canonical_sha256":"484086b09aef2357758f205650a0400a204babcdb28fb9e4a47746c3eaaac63b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"484086b09aef2357758f205650a0400a204babcdb28fb9e4a47746c3eaaac63b","first_computed_at":"2026-05-18T04:13:17.106922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:17.106922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DErCQAeS4lpyqfkTkhdAH4LmNT+ngK2Yg5XxMGSfGBfLamcU46S4ygp/hub3EEkugc3FrVLnspxKrnStUqMZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:17.107360Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0004008","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f14f14f8e8da51b7508e3db873f9732a389a251ba258c4412ee215444146d238","sha256:8247792dffca8ee4c3ab76919759c72ddb931db915d770519272ed19ef286f27"],"state_sha256":"cbb5d935db28c1285ef0fce42ff07c2eacf0c2ddf59d3446b6629ee63b47922e"}