{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:RLX26RJP26K3JDR4NP6TSHMV5F","short_pith_number":"pith:RLX26RJP","canonical_record":{"source":{"id":"hep-th/0004012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T18:22:35Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"a76ab969a17b7494971429d000fa74a0e4e2aaa7ce271ba23a2ca6c47a4e0401","abstract_canon_sha256":"e83297d24091adf78c1673a75bdde77602709be932fe8a09e7c0bd51814d7c8d"},"schema_version":"1.0"},"canonical_sha256":"8aefaf452fd795b48e3c6bfd391d95e962a87e8ce993ebb252c1e39ee9f48ed5","source":{"kind":"arxiv","id":"hep-th/0004012","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0004012","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004012v1","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004012","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"pith_short_12","alias_value":"RLX26RJP26K3","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"pith_short_16","alias_value":"RLX26RJP26K3JDR4","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"pith_short_8","alias_value":"RLX26RJP","created_at":"2026-07-04T16:20:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:RLX26RJP26K3JDR4NP6TSHMV5F","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0004012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T18:22:35Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"a76ab969a17b7494971429d000fa74a0e4e2aaa7ce271ba23a2ca6c47a4e0401","abstract_canon_sha256":"e83297d24091adf78c1673a75bdde77602709be932fe8a09e7c0bd51814d7c8d"},"schema_version":"1.0"},"canonical_sha256":"8aefaf452fd795b48e3c6bfd391d95e962a87e8ce993ebb252c1e39ee9f48ed5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:20:43.473937Z","signature_b64":"QgQVBumgQq/w9s82DAKPa30Y+eQz7HhgQeJ02rG77IyNx0wrPGcNXM9ua3U+GiKZaQ2Rud7l/7VbbjM6kfb9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8aefaf452fd795b48e3c6bfd391d95e962a87e8ce993ebb252c1e39ee9f48ed5","last_reissued_at":"2026-07-04T16:20:43.473527Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:20:43.473527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0004012","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":"2026-07-04T16:20:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sSdzM2FgkF4Btwzys0+TxiqWbrbSeq+2ZzDDFFkTTGjRTG9MNmvzufeKffLwuuGIAOmVn4By2WsCRvXPuGNgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T01:02:52.025652Z"},"content_sha256":"cc2b7668002a121a64e82192110027cf5589e9fc1f8494b87c76b627c93cfa04","schema_version":"1.0","event_id":"sha256:cc2b7668002a121a64e82192110027cf5589e9fc1f8494b87c76b627c93cfa04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:RLX26RJP26K3JDR4NP6TSHMV5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Berry Phase and Monopoles in Non-Abelian Gauge Theories","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"F.V.Gubarev, V.I.Zakharov","submitted_at":"2000-04-03T18:22:35Z","abstract_excerpt":"We consider the quantum mechanical notion of the geometrical (Berry) phase in SU(2) gauge theory, both in the continuum and on the lattice. It is shown that in the coherent state basis eigenvalues of the Wilson loop operator naturally decompose into the geometrical and dynamical phase factors. Moreover, for each Wilson loop there is a unique choice of U(1) gauge rotations which do not change the value of the Berry phase. Determining this U(1) locally in terms of infinitesimal Wilson loops we define monopole-like defects and study their properties in numerical simulations on the lattice. The co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0004012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:20:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HJcLnPY80JW/EvLtkfLvoedMZy+yMuhxhzU3zTOEl1x0me2kgyX0A7GjjySo8yZ2o6u9KN935BEdk5K3nYEACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T01:02:52.026043Z"},"content_sha256":"a75106567763079387affc2416be90aa4ae7a11e5200e0d040c079059f163ae8","schema_version":"1.0","event_id":"sha256:a75106567763079387affc2416be90aa4ae7a11e5200e0d040c079059f163ae8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLX26RJP26K3JDR4NP6TSHMV5F/bundle.json","state_url":"https://pith.science/pith/RLX26RJP26K3JDR4NP6TSHMV5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLX26RJP26K3JDR4NP6TSHMV5F/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":"2026-07-05T01:02:52Z","links":{"resolver":"https://pith.science/pith/RLX26RJP26K3JDR4NP6TSHMV5F","bundle":"https://pith.science/pith/RLX26RJP26K3JDR4NP6TSHMV5F/bundle.json","state":"https://pith.science/pith/RLX26RJP26K3JDR4NP6TSHMV5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLX26RJP26K3JDR4NP6TSHMV5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:RLX26RJP26K3JDR4NP6TSHMV5F","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":"e83297d24091adf78c1673a75bdde77602709be932fe8a09e7c0bd51814d7c8d","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T18:22:35Z","title_canon_sha256":"a76ab969a17b7494971429d000fa74a0e4e2aaa7ce271ba23a2ca6c47a4e0401"},"schema_version":"1.0","source":{"id":"hep-th/0004012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0004012","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0004012v1","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0004012","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"pith_short_12","alias_value":"RLX26RJP26K3","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"pith_short_16","alias_value":"RLX26RJP26K3JDR4","created_at":"2026-07-04T16:20:43Z"},{"alias_kind":"pith_short_8","alias_value":"RLX26RJP","created_at":"2026-07-04T16:20:43Z"}],"graph_snapshots":[{"event_id":"sha256:a75106567763079387affc2416be90aa4ae7a11e5200e0d040c079059f163ae8","target":"graph","created_at":"2026-07-04T16:20:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0004012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the quantum mechanical notion of the geometrical (Berry) phase in SU(2) gauge theory, both in the continuum and on the lattice. It is shown that in the coherent state basis eigenvalues of the Wilson loop operator naturally decompose into the geometrical and dynamical phase factors. Moreover, for each Wilson loop there is a unique choice of U(1) gauge rotations which do not change the value of the Berry phase. Determining this U(1) locally in terms of infinitesimal Wilson loops we define monopole-like defects and study their properties in numerical simulations on the lattice. The co","authors_text":"F.V.Gubarev, V.I.Zakharov","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T18:22:35Z","title":"The Berry Phase and Monopoles in Non-Abelian Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0004012","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:cc2b7668002a121a64e82192110027cf5589e9fc1f8494b87c76b627c93cfa04","target":"record","created_at":"2026-07-04T16:20:43Z","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":"e83297d24091adf78c1673a75bdde77602709be932fe8a09e7c0bd51814d7c8d","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2000-04-03T18:22:35Z","title_canon_sha256":"a76ab969a17b7494971429d000fa74a0e4e2aaa7ce271ba23a2ca6c47a4e0401"},"schema_version":"1.0","source":{"id":"hep-th/0004012","kind":"arxiv","version":1}},"canonical_sha256":"8aefaf452fd795b48e3c6bfd391d95e962a87e8ce993ebb252c1e39ee9f48ed5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8aefaf452fd795b48e3c6bfd391d95e962a87e8ce993ebb252c1e39ee9f48ed5","first_computed_at":"2026-07-04T16:20:43.473527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:43.473527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QgQVBumgQq/w9s82DAKPa30Y+eQz7HhgQeJ02rG77IyNx0wrPGcNXM9ua3U+GiKZaQ2Rud7l/7VbbjM6kfb9Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:43.473937Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0004012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc2b7668002a121a64e82192110027cf5589e9fc1f8494b87c76b627c93cfa04","sha256:a75106567763079387affc2416be90aa4ae7a11e5200e0d040c079059f163ae8"],"state_sha256":"b88022401d705c953472f121050defee59edf3ed4eab30ba5e841a8b1c9a3148"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yW/phL8bmzSXpjgTg0q7p7yAR5yG67ogRvXEunkjr0SqSCt/NlfsuVQXQIXwAD6poMXhxW1Q2TN3cZ+d/7KcDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T01:02:52.027991Z","bundle_sha256":"46b3647f03d2066275c3f5485bf7c79916f02a0dae6cc7bffca4e97568527366"}}