{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GXXC7RDPJN4I4R745TSJPQYS4Z","short_pith_number":"pith:GXXC7RDP","canonical_record":{"source":{"id":"1502.03349","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-02-11T15:58:58Z","cross_cats_sorted":[],"title_canon_sha256":"07f10bf0235a9152a2fc4841067d2f707ecfb0e90fa6787001bc4517b395adf8","abstract_canon_sha256":"383e045245466ea08fa54f26dbc1853436886a25f1004fb664abd685d58ba2d2"},"schema_version":"1.0"},"canonical_sha256":"35ee2fc46f4b788e47fcece497c312e674f0e846aee88b0835f96bdb514c3b15","source":{"kind":"arxiv","id":"1502.03349","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03349","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03349v2","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03349","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"GXXC7RDPJN4I","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GXXC7RDPJN4I4R74","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GXXC7RDP","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GXXC7RDPJN4I4R745TSJPQYS4Z","target":"record","payload":{"canonical_record":{"source":{"id":"1502.03349","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-02-11T15:58:58Z","cross_cats_sorted":[],"title_canon_sha256":"07f10bf0235a9152a2fc4841067d2f707ecfb0e90fa6787001bc4517b395adf8","abstract_canon_sha256":"383e045245466ea08fa54f26dbc1853436886a25f1004fb664abd685d58ba2d2"},"schema_version":"1.0"},"canonical_sha256":"35ee2fc46f4b788e47fcece497c312e674f0e846aee88b0835f96bdb514c3b15","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:56.812172Z","signature_b64":"fabUIu8o3a3meGRivRHFjOriq8+05y2zSddU1IVNuAUx089eQLH2YJO3gLVy0fzTzwmXmjIK6M45rANBNoiZBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35ee2fc46f4b788e47fcece497c312e674f0e846aee88b0835f96bdb514c3b15","last_reissued_at":"2026-05-18T01:35:56.811652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:56.811652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.03349","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":"2026-05-18T01:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LWJonM90hQcNNMEaWDilOHgxWWesh42wNNoqGKjqOPViPU4+1vWpJD+eJ/10Dtglo1heN1XcoE/QDLJOks9DAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:14:37.379867Z"},"content_sha256":"ea2e75923c3b67457cd2fb1c29b2969660423a8ef377c9766bbbf479ef6a98d4","schema_version":"1.0","event_id":"sha256:ea2e75923c3b67457cd2fb1c29b2969660423a8ef377c9766bbbf479ef6a98d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GXXC7RDPJN4I4R745TSJPQYS4Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wilson fermion doubling phenomenon on irregular lattice: the similarity and difference with the case of regular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"S.N. Vergeles","submitted_at":"2015-02-11T15:58:58Z","abstract_excerpt":"It is shown that the Wilson fermion doubling phenomenon on irregular lattices (simplicial complexes) does exist. This means that the irregular (not smooth) zero or soft modes exist. The statement is proved on 4 Dimensional lattice by means of the Atiyah-Singer index theorem, then it is extended easily into the cases $D<4$. But there is a fundamental difference between doubled quanta on regular and irregular lattices: in the latter case the propagator decreases exponentially. This means that the doubled quanta on irregular lattice are \"bad\" quasiparticles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03349","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":"2026-05-18T01:35:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DuEqh4GvXIINLwu4ipO2Ab4GT6JykkjW/3XcpOTg5dq0kaQyQPtWSxjNnAAoBwW3xdEhPyD22ceIJYOuPwxfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:14:37.380319Z"},"content_sha256":"0481cf6937f6fd390f0077918751ed6b95f1084c0d5f0ec2719ac351379d1f97","schema_version":"1.0","event_id":"sha256:0481cf6937f6fd390f0077918751ed6b95f1084c0d5f0ec2719ac351379d1f97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GXXC7RDPJN4I4R745TSJPQYS4Z/bundle.json","state_url":"https://pith.science/pith/GXXC7RDPJN4I4R745TSJPQYS4Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GXXC7RDPJN4I4R745TSJPQYS4Z/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":"2026-08-16T20:14:37Z","links":{"resolver":"https://pith.science/pith/GXXC7RDPJN4I4R745TSJPQYS4Z","bundle":"https://pith.science/pith/GXXC7RDPJN4I4R745TSJPQYS4Z/bundle.json","state":"https://pith.science/pith/GXXC7RDPJN4I4R745TSJPQYS4Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GXXC7RDPJN4I4R745TSJPQYS4Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GXXC7RDPJN4I4R745TSJPQYS4Z","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":"383e045245466ea08fa54f26dbc1853436886a25f1004fb664abd685d58ba2d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-02-11T15:58:58Z","title_canon_sha256":"07f10bf0235a9152a2fc4841067d2f707ecfb0e90fa6787001bc4517b395adf8"},"schema_version":"1.0","source":{"id":"1502.03349","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03349","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03349v2","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03349","created_at":"2026-05-18T01:35:56Z"},{"alias_kind":"pith_short_12","alias_value":"GXXC7RDPJN4I","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GXXC7RDPJN4I4R74","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GXXC7RDP","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:0481cf6937f6fd390f0077918751ed6b95f1084c0d5f0ec2719ac351379d1f97","target":"graph","created_at":"2026-05-18T01:35:56Z","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 the Wilson fermion doubling phenomenon on irregular lattices (simplicial complexes) does exist. This means that the irregular (not smooth) zero or soft modes exist. The statement is proved on 4 Dimensional lattice by means of the Atiyah-Singer index theorem, then it is extended easily into the cases $D<4$. But there is a fundamental difference between doubled quanta on regular and irregular lattices: in the latter case the propagator decreases exponentially. This means that the doubled quanta on irregular lattice are \"bad\" quasiparticles.","authors_text":"S.N. Vergeles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-02-11T15:58:58Z","title":"Wilson fermion doubling phenomenon on irregular lattice: the similarity and difference with the case of regular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03349","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:ea2e75923c3b67457cd2fb1c29b2969660423a8ef377c9766bbbf479ef6a98d4","target":"record","created_at":"2026-05-18T01:35:56Z","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":"383e045245466ea08fa54f26dbc1853436886a25f1004fb664abd685d58ba2d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-02-11T15:58:58Z","title_canon_sha256":"07f10bf0235a9152a2fc4841067d2f707ecfb0e90fa6787001bc4517b395adf8"},"schema_version":"1.0","source":{"id":"1502.03349","kind":"arxiv","version":2}},"canonical_sha256":"35ee2fc46f4b788e47fcece497c312e674f0e846aee88b0835f96bdb514c3b15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35ee2fc46f4b788e47fcece497c312e674f0e846aee88b0835f96bdb514c3b15","first_computed_at":"2026-05-18T01:35:56.811652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:56.811652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fabUIu8o3a3meGRivRHFjOriq8+05y2zSddU1IVNuAUx089eQLH2YJO3gLVy0fzTzwmXmjIK6M45rANBNoiZBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:56.812172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03349","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea2e75923c3b67457cd2fb1c29b2969660423a8ef377c9766bbbf479ef6a98d4","sha256:0481cf6937f6fd390f0077918751ed6b95f1084c0d5f0ec2719ac351379d1f97"],"state_sha256":"a15d08f55e6c150ea08398ca67e8cec5861e68a57c43f32b1153a127cdf3c9c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PN7RRT9RQh5AjWC3uF3YHiByrLPOFCc5NZxHWr8h0rDV2B3zs3o9imSujLz13A2ib6txdgRZ2XAV+HEQ3DBDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T20:14:37.384945Z","bundle_sha256":"7adc46ee03b8a800367d935849d935a40f3e5f899435ff02b19f59ed5a7772df"}}