{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HQHFKI2M7JKQLAKGTSSZ4M2U7R","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":"d4bc25e364a6e2d57d696d5ec58ad249a7654f836e5b5aa55c0bbda65d54c0e4","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-01-12T00:05:51Z","title_canon_sha256":"d37c3fcc71241c8296753fd4d7aa5d5f5ca829273eb4c59f3879953c6b839603"},"schema_version":"1.0","source":{"id":"1201.2445","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2445","created_at":"2026-05-18T01:58:52Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2445v2","created_at":"2026-05-18T01:58:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2445","created_at":"2026-05-18T01:58:52Z"},{"alias_kind":"pith_short_12","alias_value":"HQHFKI2M7JKQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HQHFKI2M7JKQLAKG","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HQHFKI2M","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:b5c1c21d92c85e0a5b86ccbf8aaed6275e2e2c90dc610ee3496aff2ddf5d5830","target":"graph","created_at":"2026-05-18T01:58:52Z","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":"Examples of normalizable zero modes of the Faddeev-Popov operator in SU(2) Euclidean Yang-Mills theories in the Landau gauge are constructed in d=2,3,4 dimensions.","authors_text":"D. G. Tedesco, M. A. L. Capri, M. S. Guimaraes, S. P. Sorella","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-01-12T00:05:51Z","title":"A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2445","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:ee8b185aeb434a360d61fa7b7835c0d91eadc91df5473eead459d5accb366b7d","target":"record","created_at":"2026-05-18T01:58:52Z","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":"d4bc25e364a6e2d57d696d5ec58ad249a7654f836e5b5aa55c0bbda65d54c0e4","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-01-12T00:05:51Z","title_canon_sha256":"d37c3fcc71241c8296753fd4d7aa5d5f5ca829273eb4c59f3879953c6b839603"},"schema_version":"1.0","source":{"id":"1201.2445","kind":"arxiv","version":2}},"canonical_sha256":"3c0e55234cfa550581469ca59e3354fc574b41c5fcbcc1c7c2de2711f9914623","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c0e55234cfa550581469ca59e3354fc574b41c5fcbcc1c7c2de2711f9914623","first_computed_at":"2026-05-18T01:58:52.438767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:52.438767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z3q1i8vIumgc/889CZrDNvnCOsNLvD+2xV7eRIZNpdnTVnCOWN8TOWQauZ5xdp6y1A2pI9LlMq+vAhMW3vQaAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:52.439364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2445","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee8b185aeb434a360d61fa7b7835c0d91eadc91df5473eead459d5accb366b7d","sha256:b5c1c21d92c85e0a5b86ccbf8aaed6275e2e2c90dc610ee3496aff2ddf5d5830"],"state_sha256":"bb68b3a5e95588c25ac18b9e5ccca572bd0aa3a8cb54184abf025f761c742fa3"}