{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:YQXCTQ6XDHGQXUKM2VYPM3JEON","short_pith_number":"pith:YQXCTQ6X","canonical_record":{"source":{"id":"1006.0248","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-01T20:31:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3f70a2158e2e356acb5b65792e121fbaff8382018fbe56724ae6f80f1b16380c","abstract_canon_sha256":"ba3b1f42c3a0b992fb591505ebf1d03d3a12b46635d290b53277ff4721085005"},"schema_version":"1.0"},"canonical_sha256":"c42e29c3d719cd0bd14cd570f66d247350cdc847fcc717ec5835b5ca6cb248b3","source":{"kind":"arxiv","id":"1006.0248","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0248","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0248v2","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0248","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"YQXCTQ6XDHGQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YQXCTQ6XDHGQXUKM","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YQXCTQ6X","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:YQXCTQ6XDHGQXUKM2VYPM3JEON","target":"record","payload":{"canonical_record":{"source":{"id":"1006.0248","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-01T20:31:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3f70a2158e2e356acb5b65792e121fbaff8382018fbe56724ae6f80f1b16380c","abstract_canon_sha256":"ba3b1f42c3a0b992fb591505ebf1d03d3a12b46635d290b53277ff4721085005"},"schema_version":"1.0"},"canonical_sha256":"c42e29c3d719cd0bd14cd570f66d247350cdc847fcc717ec5835b5ca6cb248b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:28.355618Z","signature_b64":"jzRbAQWohTLww3Hg53b8TbLDDL+gYyWuWREpjKXVUUYTAOFaWuJ2BdI+cwRkMfWL/5+op4wFGgL1N9xaR6QPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c42e29c3d719cd0bd14cd570f66d247350cdc847fcc717ec5835b5ca6cb248b3","last_reissued_at":"2026-05-18T04:25:28.354994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:28.354994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.0248","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":"2026-05-18T04:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmVn0Gch1zxO5CR53WTudm85hIbGdecMR0kiaCPe5T35xXJ20y7c/8b7jwmxyGbNGEUs8ND6S8EY+eEOdpjDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:11:04.208097Z"},"content_sha256":"0df5303353b7f3a77de34029943b79e70996de674ec5d947eca8db441aa4f72e","schema_version":"1.0","event_id":"sha256:0df5303353b7f3a77de34029943b79e70996de674ec5d947eca8db441aa4f72e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:YQXCTQ6XDHGQXUKM2VYPM3JEON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weyl group, CP and the kink-like field configurations in the effective SU(3) gauge theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"2), (2) Department of Theoretical Physics, B.V. Galilo (1, International University ''Dubna''), Joint Institute for Nuclear Research, S.N. Nedelko (1) ((1) BLTP","submitted_at":"2010-06-01T20:31:36Z","abstract_excerpt":"Effective Lagrangian for pure Yang-Mills gauge fields invariant under the standard space-time and local gauge SU(3) transformations is considered. It is demonstrated that a set of twelve degenerated minima exists as soon as a nonzero gluon condensate is postulated. The minima are connected to each other by the parity transformations and Weyl group transformations associated with the color su(3) algebra. The presence of degenerated discrete minima in the effective potential leads to the solutions of the effective Euclidean equations of motion in the form of the kink-like gauge field configurati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0248","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":"2026-05-18T04:25:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zg8cFiQ/MRHXCy2Dq0w2VQHXHXe4SHWbj4yKjbXepX9DGgY6wgtdYUqUI+7aH7Y6KVnoYbDYqexlFJk6sQf+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T18:11:04.208458Z"},"content_sha256":"5e00092c7e329a586f9b01291d5d6a54498b008269b187c7a1eece911fbbe6a8","schema_version":"1.0","event_id":"sha256:5e00092c7e329a586f9b01291d5d6a54498b008269b187c7a1eece911fbbe6a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON/bundle.json","state_url":"https://pith.science/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON/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":"2026-06-01T18:11:04Z","links":{"resolver":"https://pith.science/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON","bundle":"https://pith.science/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON/bundle.json","state":"https://pith.science/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YQXCTQ6XDHGQXUKM2VYPM3JEON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YQXCTQ6XDHGQXUKM2VYPM3JEON","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":"ba3b1f42c3a0b992fb591505ebf1d03d3a12b46635d290b53277ff4721085005","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-01T20:31:36Z","title_canon_sha256":"3f70a2158e2e356acb5b65792e121fbaff8382018fbe56724ae6f80f1b16380c"},"schema_version":"1.0","source":{"id":"1006.0248","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0248","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0248v2","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0248","created_at":"2026-05-18T04:25:28Z"},{"alias_kind":"pith_short_12","alias_value":"YQXCTQ6XDHGQ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YQXCTQ6XDHGQXUKM","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YQXCTQ6X","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:5e00092c7e329a586f9b01291d5d6a54498b008269b187c7a1eece911fbbe6a8","target":"graph","created_at":"2026-05-18T04:25:28Z","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":"Effective Lagrangian for pure Yang-Mills gauge fields invariant under the standard space-time and local gauge SU(3) transformations is considered. It is demonstrated that a set of twelve degenerated minima exists as soon as a nonzero gluon condensate is postulated. The minima are connected to each other by the parity transformations and Weyl group transformations associated with the color su(3) algebra. The presence of degenerated discrete minima in the effective potential leads to the solutions of the effective Euclidean equations of motion in the form of the kink-like gauge field configurati","authors_text":"2), (2) Department of Theoretical Physics, B.V. Galilo (1, International University ''Dubna''), Joint Institute for Nuclear Research, S.N. Nedelko (1) ((1) BLTP","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-01T20:31:36Z","title":"Weyl group, CP and the kink-like field configurations in the effective SU(3) gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0248","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":"sha256:0df5303353b7f3a77de34029943b79e70996de674ec5d947eca8db441aa4f72e","target":"record","created_at":"2026-05-18T04:25:28Z","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":"ba3b1f42c3a0b992fb591505ebf1d03d3a12b46635d290b53277ff4721085005","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-01T20:31:36Z","title_canon_sha256":"3f70a2158e2e356acb5b65792e121fbaff8382018fbe56724ae6f80f1b16380c"},"schema_version":"1.0","source":{"id":"1006.0248","kind":"arxiv","version":2}},"canonical_sha256":"c42e29c3d719cd0bd14cd570f66d247350cdc847fcc717ec5835b5ca6cb248b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c42e29c3d719cd0bd14cd570f66d247350cdc847fcc717ec5835b5ca6cb248b3","first_computed_at":"2026-05-18T04:25:28.354994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:28.354994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jzRbAQWohTLww3Hg53b8TbLDDL+gYyWuWREpjKXVUUYTAOFaWuJ2BdI+cwRkMfWL/5+op4wFGgL1N9xaR6QPAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:28.355618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0248","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0df5303353b7f3a77de34029943b79e70996de674ec5d947eca8db441aa4f72e","sha256:5e00092c7e329a586f9b01291d5d6a54498b008269b187c7a1eece911fbbe6a8"],"state_sha256":"dadb72b9a9f18b58e4eb723fd6a77befae110b4dc2b0230f43b187e3317bf882"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXK/6gmBRjwbUeGOX8bDUgoV5pDFyFkQ8npDz0pQwI5GSaxX/hqT8ac8el0LoqQJnAt3FLKHMUL6c6sfFby6AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T18:11:04.210416Z","bundle_sha256":"4ca3538c1f1c04b37bc5b8cffcefc676cb26d93391094ab33346b4a4e6b33b0a"}}