{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:5V54HW64NV7ZUKHAKNXSJPRTWL","short_pith_number":"pith:5V54HW64","canonical_record":{"source":{"id":"hep-lat/0607021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2006-07-17T02:28:06Z","cross_cats_sorted":[],"title_canon_sha256":"515ba13d3755d9ce2976060c89da7388553114dffe2d077e47b1b25155fe96a5","abstract_canon_sha256":"6be7622d19a917923cb13604d244a105ddb208ae3db25b6fb55ee769228f22f3"},"schema_version":"1.0"},"canonical_sha256":"ed7bc3dbdc6d7f9a28e0536f24be33b2f157411014dac23da64c3fb652f7d4f5","source":{"kind":"arxiv","id":"hep-lat/0607021","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0607021","created_at":"2026-05-18T01:06:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0607021v2","created_at":"2026-05-18T01:06:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0607021","created_at":"2026-05-18T01:06:38Z"},{"alias_kind":"pith_short_12","alias_value":"5V54HW64NV7Z","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5V54HW64NV7ZUKHA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5V54HW64","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:5V54HW64NV7ZUKHAKNXSJPRTWL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/0607021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2006-07-17T02:28:06Z","cross_cats_sorted":[],"title_canon_sha256":"515ba13d3755d9ce2976060c89da7388553114dffe2d077e47b1b25155fe96a5","abstract_canon_sha256":"6be7622d19a917923cb13604d244a105ddb208ae3db25b6fb55ee769228f22f3"},"schema_version":"1.0"},"canonical_sha256":"ed7bc3dbdc6d7f9a28e0536f24be33b2f157411014dac23da64c3fb652f7d4f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:38.449622Z","signature_b64":"DQvwPi4IHySOGtMIdRzPB9poAToId9pHbmEs/tlTwW1zeeTQCxrf1NXjcWamYeQ84VI5+peRlgrBwkUJP6FgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed7bc3dbdc6d7f9a28e0536f24be33b2f157411014dac23da64c3fb652f7d4f5","last_reissued_at":"2026-05-18T01:06:38.448988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:38.448988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/0607021","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":"2026-05-18T01:06:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RPDVPPI1ux0+7pgvDWhdGxyj0/yZ3JnyprUqx01/aN7N8ZpZiqI0T7UhEhhRDi1l2b7ukd42iZP+63CiDJ5LBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:07:12.293602Z"},"content_sha256":"11033083a2407dbebeff8da7c6b9c8e4da5ee24e0f7c49d8afae2260bae7b780","schema_version":"1.0","event_id":"sha256:11033083a2407dbebeff8da7c6b9c8e4da5ee24e0f7c49d8afae2260bae7b780"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:5V54HW64NV7ZUKHAKNXSJPRTWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Chuan Liu, Wei Liu, Xin Li, Xu Feng","submitted_at":"2006-07-17T02:28:06Z","abstract_excerpt":"We formulate the massive domain wall fermions on anisotropic lattices.\n For the massive domain wall fermion, we find that the dispersion relation assumes the usual form in the low momentum region when the bare parameters are properly tuned. The quark self-energy and the quark field renormalization constants are calculated to one-loop in bare lattice perturbation theory. For light domain wall fermions, we verified that the chiral mode is stable against quantum fluctuations on anisotropic lattices. This calculation serves as a guidance for the tuning of the parameters in the quark action in futu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0607021","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":""},"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":"2026-05-18T01:06:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P7ZEj7/EyTdzJ9kXHAU3BC+2xap1e+9dFjK31eCSK2FTFmwxMayL473lyO5sgG5y3lmymy4b5REprES+Nd0sAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:07:12.294241Z"},"content_sha256":"d0e154c21c7810b1055c5486200dae42f2f397e97755d26ca949dbe4eca7d8f8","schema_version":"1.0","event_id":"sha256:d0e154c21c7810b1055c5486200dae42f2f397e97755d26ca949dbe4eca7d8f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5V54HW64NV7ZUKHAKNXSJPRTWL/bundle.json","state_url":"https://pith.science/pith/5V54HW64NV7ZUKHAKNXSJPRTWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5V54HW64NV7ZUKHAKNXSJPRTWL/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":"2026-06-09T07:07:12Z","links":{"resolver":"https://pith.science/pith/5V54HW64NV7ZUKHAKNXSJPRTWL","bundle":"https://pith.science/pith/5V54HW64NV7ZUKHAKNXSJPRTWL/bundle.json","state":"https://pith.science/pith/5V54HW64NV7ZUKHAKNXSJPRTWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5V54HW64NV7ZUKHAKNXSJPRTWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:5V54HW64NV7ZUKHAKNXSJPRTWL","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":"6be7622d19a917923cb13604d244a105ddb208ae3db25b6fb55ee769228f22f3","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2006-07-17T02:28:06Z","title_canon_sha256":"515ba13d3755d9ce2976060c89da7388553114dffe2d077e47b1b25155fe96a5"},"schema_version":"1.0","source":{"id":"hep-lat/0607021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0607021","created_at":"2026-05-18T01:06:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0607021v2","created_at":"2026-05-18T01:06:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0607021","created_at":"2026-05-18T01:06:38Z"},{"alias_kind":"pith_short_12","alias_value":"5V54HW64NV7Z","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"5V54HW64NV7ZUKHA","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"5V54HW64","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:d0e154c21c7810b1055c5486200dae42f2f397e97755d26ca949dbe4eca7d8f8","target":"graph","created_at":"2026-05-18T01:06:38Z","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 formulate the massive domain wall fermions on anisotropic lattices.\n For the massive domain wall fermion, we find that the dispersion relation assumes the usual form in the low momentum region when the bare parameters are properly tuned. The quark self-energy and the quark field renormalization constants are calculated to one-loop in bare lattice perturbation theory. For light domain wall fermions, we verified that the chiral mode is stable against quantum fluctuations on anisotropic lattices. This calculation serves as a guidance for the tuning of the parameters in the quark action in futu","authors_text":"Chuan Liu, Wei Liu, Xin Li, Xu Feng","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2006-07-17T02:28:06Z","title":"Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0607021","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":"sha256:11033083a2407dbebeff8da7c6b9c8e4da5ee24e0f7c49d8afae2260bae7b780","target":"record","created_at":"2026-05-18T01:06:38Z","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":"6be7622d19a917923cb13604d244a105ddb208ae3db25b6fb55ee769228f22f3","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2006-07-17T02:28:06Z","title_canon_sha256":"515ba13d3755d9ce2976060c89da7388553114dffe2d077e47b1b25155fe96a5"},"schema_version":"1.0","source":{"id":"hep-lat/0607021","kind":"arxiv","version":2}},"canonical_sha256":"ed7bc3dbdc6d7f9a28e0536f24be33b2f157411014dac23da64c3fb652f7d4f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed7bc3dbdc6d7f9a28e0536f24be33b2f157411014dac23da64c3fb652f7d4f5","first_computed_at":"2026-05-18T01:06:38.448988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:38.448988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DQvwPi4IHySOGtMIdRzPB9poAToId9pHbmEs/tlTwW1zeeTQCxrf1NXjcWamYeQ84VI5+peRlgrBwkUJP6FgBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:38.449622Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0607021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11033083a2407dbebeff8da7c6b9c8e4da5ee24e0f7c49d8afae2260bae7b780","sha256:d0e154c21c7810b1055c5486200dae42f2f397e97755d26ca949dbe4eca7d8f8"],"state_sha256":"a3b5dc6adf99b094e1255345bb93d30c43206f7ff0c6b39e6d276d66655288c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icDp8PBWjSHOudkXeVmceMp1eRczoQEAMrZASYsmce/QJ9ICOQyk7s+ewpxpKk/5/O0e4sfTFg4QiclGr7zXDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:07:12.297974Z","bundle_sha256":"04ad017180a3fac87ba4cbfbd2fc3cd9f4b92329163602ee6c13ad1d530c3c9d"}}