{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KC4RCHKA47SGGZCLFL7QOEBFET","short_pith_number":"pith:KC4RCHKA","canonical_record":{"source":{"id":"1309.4043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-16T17:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"6d7320a0f3d64834e2905022c3bab60b45e745c3e84e3a378d151198369ed693","abstract_canon_sha256":"4535382fcad77d2914ae502bc3d36486e2978b50a1043528c478f967122bd459"},"schema_version":"1.0"},"canonical_sha256":"50b9111d40e7e463644b2aff07102524d0a08853cfe66fcbe05ce96b379bcd81","source":{"kind":"arxiv","id":"1309.4043","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4043","created_at":"2026-05-18T01:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4043v1","created_at":"2026-05-18T01:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4043","created_at":"2026-05-18T01:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"KC4RCHKA47SG","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KC4RCHKA47SGGZCL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KC4RCHKA","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KC4RCHKA47SGGZCLFL7QOEBFET","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-16T17:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"6d7320a0f3d64834e2905022c3bab60b45e745c3e84e3a378d151198369ed693","abstract_canon_sha256":"4535382fcad77d2914ae502bc3d36486e2978b50a1043528c478f967122bd459"},"schema_version":"1.0"},"canonical_sha256":"50b9111d40e7e463644b2aff07102524d0a08853cfe66fcbe05ce96b379bcd81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:41.384157Z","signature_b64":"KJIIlzTpa8Ex9VsPf+GuySUXHLG1mzZ3QxWV4b7y6CXIZ7rUQ4iZ7RjSY/bOcbDK6csHHc/0YwrTWlEkmQPMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50b9111d40e7e463644b2aff07102524d0a08853cfe66fcbe05ce96b379bcd81","last_reissued_at":"2026-05-18T01:47:41.383643Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:41.383643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4043","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:47:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RAmOc1+MGwSzLkyPxGaeDu6Zt5J9rl+VZqPzrxio1sgrH0ODgndtgI01OoeRbVmBVqtD9n7dntzk6kQwsVorDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:27:27.984337Z"},"content_sha256":"6d6bb66705bd0c483d41400f291ce483dca9b374bf0463fd980b052d32142d14","schema_version":"1.0","event_id":"sha256:6d6bb66705bd0c483d41400f291ce483dca9b374bf0463fd980b052d32142d14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KC4RCHKA47SGGZCLFL7QOEBFET","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. G. Tedesco, M. A. L. Capri, M. S. Guimaraes, S. P. Sorella, V. E. R. Lemes","submitted_at":"2013-09-16T17:31:11Z","abstract_excerpt":"A study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge is presented in the case of the gauge group SU(2) and for different Euclidean space-time dimensions. Explicit examples of classes of normalizable zero modes and corresponding gauge field configurations are constructed by taking into account two boundary conditions, namely: i) the finite Euclidean Yang-Mills action, ii) the finite Hilbert norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4043","kind":"arxiv","version":1},"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":"2026-05-18T01:47:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2t/DWB4Te6t+2CEUpMu5vEb7d/w9tHKtZ9wqCRyomQiOeEO5BBtj1u7jEc9mK019JwCjWwQr332Ym+HytxGrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:27:27.984987Z"},"content_sha256":"83a59ec86d9e22e5184310642ed9475578caf3934007dae48250f438234685fe","schema_version":"1.0","event_id":"sha256:83a59ec86d9e22e5184310642ed9475578caf3934007dae48250f438234685fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KC4RCHKA47SGGZCLFL7QOEBFET/bundle.json","state_url":"https://pith.science/pith/KC4RCHKA47SGGZCLFL7QOEBFET/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KC4RCHKA47SGGZCLFL7QOEBFET/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":"2026-05-27T18:27:27Z","links":{"resolver":"https://pith.science/pith/KC4RCHKA47SGGZCLFL7QOEBFET","bundle":"https://pith.science/pith/KC4RCHKA47SGGZCLFL7QOEBFET/bundle.json","state":"https://pith.science/pith/KC4RCHKA47SGGZCLFL7QOEBFET/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KC4RCHKA47SGGZCLFL7QOEBFET/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KC4RCHKA47SGGZCLFL7QOEBFET","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":"4535382fcad77d2914ae502bc3d36486e2978b50a1043528c478f967122bd459","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-16T17:31:11Z","title_canon_sha256":"6d7320a0f3d64834e2905022c3bab60b45e745c3e84e3a378d151198369ed693"},"schema_version":"1.0","source":{"id":"1309.4043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4043","created_at":"2026-05-18T01:47:41Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4043v1","created_at":"2026-05-18T01:47:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4043","created_at":"2026-05-18T01:47:41Z"},{"alias_kind":"pith_short_12","alias_value":"KC4RCHKA47SG","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"KC4RCHKA47SGGZCL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"KC4RCHKA","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:83a59ec86d9e22e5184310642ed9475578caf3934007dae48250f438234685fe","target":"graph","created_at":"2026-05-18T01:47:41Z","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":"A study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge is presented in the case of the gauge group SU(2) and for different Euclidean space-time dimensions. Explicit examples of classes of normalizable zero modes and corresponding gauge field configurations are constructed by taking into account two boundary conditions, namely: i) the finite Euclidean Yang-Mills action, ii) the finite Hilbert norm.","authors_text":"D. G. Tedesco, M. A. L. Capri, M. S. Guimaraes, S. P. Sorella, V. E. R. Lemes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-16T17:31:11Z","title":"Study of the zero modes of the Faddeev-Popov operator in the maximal Abelian gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4043","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":"sha256:6d6bb66705bd0c483d41400f291ce483dca9b374bf0463fd980b052d32142d14","target":"record","created_at":"2026-05-18T01:47:41Z","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":"4535382fcad77d2914ae502bc3d36486e2978b50a1043528c478f967122bd459","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-16T17:31:11Z","title_canon_sha256":"6d7320a0f3d64834e2905022c3bab60b45e745c3e84e3a378d151198369ed693"},"schema_version":"1.0","source":{"id":"1309.4043","kind":"arxiv","version":1}},"canonical_sha256":"50b9111d40e7e463644b2aff07102524d0a08853cfe66fcbe05ce96b379bcd81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50b9111d40e7e463644b2aff07102524d0a08853cfe66fcbe05ce96b379bcd81","first_computed_at":"2026-05-18T01:47:41.383643Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:41.383643Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KJIIlzTpa8Ex9VsPf+GuySUXHLG1mzZ3QxWV4b7y6CXIZ7rUQ4iZ7RjSY/bOcbDK6csHHc/0YwrTWlEkmQPMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:41.384157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d6bb66705bd0c483d41400f291ce483dca9b374bf0463fd980b052d32142d14","sha256:83a59ec86d9e22e5184310642ed9475578caf3934007dae48250f438234685fe"],"state_sha256":"e6501431b12b3d3c6869dbfe1ac253e5f18dd4349ca00c7654905f83509c4acb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0De3ZCstwjVB/aZyYy0XIPfnZL0PQQ0iXLsTs73kgYrSrVZXuXOTJmYt9Vcvxd5RtMRArvcMCFuEjkQaBVd+Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:27:27.988413Z","bundle_sha256":"6671d2df67df23ef9994e566522bfe384a86107a355755ab4caff39b6e2e5767"}}