{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:5JDGSJCCM25B6QYP3QHCIM6YDY","short_pith_number":"pith:5JDGSJCC","canonical_record":{"source":{"id":"0907.1371","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-08T09:46:56Z","cross_cats_sorted":[],"title_canon_sha256":"247c0112a1c6ca64c624319519220566b1daaac4e5c9b1a50e4bb79ccf614717","abstract_canon_sha256":"cacb53d4f2626486f735e0505c9417aea5eabea96df1691fd1b70863b4269bc0"},"schema_version":"1.0"},"canonical_sha256":"ea4669244266ba1f430fdc0e2433d81e130bd0f9af0a425364e3e4d5f4bbe55f","source":{"kind":"arxiv","id":"0907.1371","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1371","created_at":"2026-05-18T02:34:39Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1371v3","created_at":"2026-05-18T02:34:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1371","created_at":"2026-05-18T02:34:39Z"},{"alias_kind":"pith_short_12","alias_value":"5JDGSJCCM25B","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5JDGSJCCM25B6QYP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5JDGSJCC","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:5JDGSJCCM25B6QYP3QHCIM6YDY","target":"record","payload":{"canonical_record":{"source":{"id":"0907.1371","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-08T09:46:56Z","cross_cats_sorted":[],"title_canon_sha256":"247c0112a1c6ca64c624319519220566b1daaac4e5c9b1a50e4bb79ccf614717","abstract_canon_sha256":"cacb53d4f2626486f735e0505c9417aea5eabea96df1691fd1b70863b4269bc0"},"schema_version":"1.0"},"canonical_sha256":"ea4669244266ba1f430fdc0e2433d81e130bd0f9af0a425364e3e4d5f4bbe55f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:39.016311Z","signature_b64":"ebDspZQyEn3hoRfrv0t2HpEt0FfYLOmE/2YpBw6XbQUAUSEPviLSFdlSRPGg7qFXXdAVUKGUqnbR1+QTPxXhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea4669244266ba1f430fdc0e2433d81e130bd0f9af0a425364e3e4d5f4bbe55f","last_reissued_at":"2026-05-18T02:34:39.015855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:39.015855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.1371","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:34:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xu8Ox94/aB2pXya/Y4ePuO/ltQbifI+iSPlJVUYlWy1eEsUBDtVIf/zlbuYUp3pXuGSs7jm/qLK0rM0ALUCVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:38:55.446491Z"},"content_sha256":"dca7058e173db5fc2ea2e299bf297dc052ca3dcc9c132a83b6fd7f90e9a80b00","schema_version":"1.0","event_id":"sha256:dca7058e173db5fc2ea2e299bf297dc052ca3dcc9c132a83b6fd7f90e9a80b00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:5JDGSJCCM25B6QYP3QHCIM6YDY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characters of Lattice Fermions Based on the Hyperdiamond Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Taro Kimura, Tatsuhiro Misumi","submitted_at":"2009-07-08T09:46:56Z","abstract_excerpt":"We study minimal-doubling fermion actions on hyperdiamond and deformed hyperdiamond lattices, with emphasis on the real-space construction of them and Lorentz covariance of excitations from fermion poles. We propose the improved spatial construction of Creutz fermion action on a deformed hyperdiamond lattice, and discuss conditions for a hyperdiamond-lattice action to produce Lorentz-covariant excitations from poles of fermion propagators. It is pointed out that the non-nearest-site hoppings are essential for the correct excitations. We propose a class of minimal-doubling actions defined on a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1371","kind":"arxiv","version":3},"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":"2026-05-18T02:34:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"md0CqUb+cCbZ77cEIVjyMdsa0eXHI7CfrCjHqWHcjABGNx0c4wZhLRE9/LXgKbFJ3ffQHdaKRVqQYRA+om9XBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:38:55.447225Z"},"content_sha256":"387e18d0cdcb5f431ecc315d535898e6a2d28b3a83b8f9cada11d419a4ec974b","schema_version":"1.0","event_id":"sha256:387e18d0cdcb5f431ecc315d535898e6a2d28b3a83b8f9cada11d419a4ec974b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5JDGSJCCM25B6QYP3QHCIM6YDY/bundle.json","state_url":"https://pith.science/pith/5JDGSJCCM25B6QYP3QHCIM6YDY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5JDGSJCCM25B6QYP3QHCIM6YDY/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":"2026-06-12T00:38:55Z","links":{"resolver":"https://pith.science/pith/5JDGSJCCM25B6QYP3QHCIM6YDY","bundle":"https://pith.science/pith/5JDGSJCCM25B6QYP3QHCIM6YDY/bundle.json","state":"https://pith.science/pith/5JDGSJCCM25B6QYP3QHCIM6YDY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5JDGSJCCM25B6QYP3QHCIM6YDY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5JDGSJCCM25B6QYP3QHCIM6YDY","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":"cacb53d4f2626486f735e0505c9417aea5eabea96df1691fd1b70863b4269bc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-08T09:46:56Z","title_canon_sha256":"247c0112a1c6ca64c624319519220566b1daaac4e5c9b1a50e4bb79ccf614717"},"schema_version":"1.0","source":{"id":"0907.1371","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1371","created_at":"2026-05-18T02:34:39Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1371v3","created_at":"2026-05-18T02:34:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1371","created_at":"2026-05-18T02:34:39Z"},{"alias_kind":"pith_short_12","alias_value":"5JDGSJCCM25B","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5JDGSJCCM25B6QYP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5JDGSJCC","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:387e18d0cdcb5f431ecc315d535898e6a2d28b3a83b8f9cada11d419a4ec974b","target":"graph","created_at":"2026-05-18T02:34:39Z","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 study minimal-doubling fermion actions on hyperdiamond and deformed hyperdiamond lattices, with emphasis on the real-space construction of them and Lorentz covariance of excitations from fermion poles. We propose the improved spatial construction of Creutz fermion action on a deformed hyperdiamond lattice, and discuss conditions for a hyperdiamond-lattice action to produce Lorentz-covariant excitations from poles of fermion propagators. It is pointed out that the non-nearest-site hoppings are essential for the correct excitations. We propose a class of minimal-doubling actions defined on a ","authors_text":"Taro Kimura, Tatsuhiro Misumi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-08T09:46:56Z","title":"Characters of Lattice Fermions Based on the Hyperdiamond Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1371","kind":"arxiv","version":3},"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:dca7058e173db5fc2ea2e299bf297dc052ca3dcc9c132a83b6fd7f90e9a80b00","target":"record","created_at":"2026-05-18T02:34:39Z","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":"cacb53d4f2626486f735e0505c9417aea5eabea96df1691fd1b70863b4269bc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-08T09:46:56Z","title_canon_sha256":"247c0112a1c6ca64c624319519220566b1daaac4e5c9b1a50e4bb79ccf614717"},"schema_version":"1.0","source":{"id":"0907.1371","kind":"arxiv","version":3}},"canonical_sha256":"ea4669244266ba1f430fdc0e2433d81e130bd0f9af0a425364e3e4d5f4bbe55f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea4669244266ba1f430fdc0e2433d81e130bd0f9af0a425364e3e4d5f4bbe55f","first_computed_at":"2026-05-18T02:34:39.015855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:39.015855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebDspZQyEn3hoRfrv0t2HpEt0FfYLOmE/2YpBw6XbQUAUSEPviLSFdlSRPGg7qFXXdAVUKGUqnbR1+QTPxXhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:39.016311Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.1371","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dca7058e173db5fc2ea2e299bf297dc052ca3dcc9c132a83b6fd7f90e9a80b00","sha256:387e18d0cdcb5f431ecc315d535898e6a2d28b3a83b8f9cada11d419a4ec974b"],"state_sha256":"4f952739482953c27c4af9b0cb361d9864e5152bff144b659a2aa9f224577be0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JdxIVlBXuqDgaUULoK/OzpjPGmxauBrPjHSh1+XJnKaAGZLE3PcszRlaSDJ+Lf8bTo8NsKRYbbj1pRz4zTQWCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:38:55.451420Z","bundle_sha256":"fd4a52a4e7448ad26d65aa6227e0e7677efff14f339222e0464423f690a410be"}}