{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FBRZYMFSMVBTNFOK57RY5VL5WY","short_pith_number":"pith:FBRZYMFS","canonical_record":{"source":{"id":"1302.3527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-14T19:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"20da4b3e8e527922a7a7ce148b71135e423dc38e3144726054a98e187c884495","abstract_canon_sha256":"c73143ab6706401eb030b713e541ba578a3405cf7aa4564f4279176d9f2dc422"},"schema_version":"1.0"},"canonical_sha256":"28639c30b265433695caefe38ed57db62179a92914d30a8fba9f0551b981fedb","source":{"kind":"arxiv","id":"1302.3527","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3527","created_at":"2026-05-18T03:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3527v2","created_at":"2026-05-18T03:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3527","created_at":"2026-05-18T03:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"FBRZYMFSMVBT","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FBRZYMFSMVBTNFOK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FBRZYMFS","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FBRZYMFSMVBTNFOK57RY5VL5WY","target":"record","payload":{"canonical_record":{"source":{"id":"1302.3527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-14T19:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"20da4b3e8e527922a7a7ce148b71135e423dc38e3144726054a98e187c884495","abstract_canon_sha256":"c73143ab6706401eb030b713e541ba578a3405cf7aa4564f4279176d9f2dc422"},"schema_version":"1.0"},"canonical_sha256":"28639c30b265433695caefe38ed57db62179a92914d30a8fba9f0551b981fedb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:08.872367Z","signature_b64":"+u/GTY4RLafRrYoAbwSa/HfuVQBwuKHmAq4Zw11MSj/lYG7KWiucbNznWK1DdQRI/LuDNnjP7tw0VJN6L7vCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28639c30b265433695caefe38ed57db62179a92914d30a8fba9f0551b981fedb","last_reissued_at":"2026-05-18T03:12:08.871707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:08.871707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.3527","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":"2026-05-18T03:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmbphiEm6gX2Ls+f87DoRQYC72v6jCPCjfekYM7MFX/KyGUv6mFELNmugrLWm42SHTti8ca76iNpWamx8M3uCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:25:00.086884Z"},"content_sha256":"65d34be705349b7a5944270f2b8cd7054e530f93ac8e59e302e70db5689f5954","schema_version":"1.0","event_id":"sha256:65d34be705349b7a5944270f2b8cd7054e530f93ac8e59e302e70db5689f5954"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FBRZYMFSMVBTNFOK57RY5VL5WY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Knot topology in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D.G. Pak, L.P. Zou, P.M. Zhang","submitted_at":"2013-02-14T19:48:42Z","abstract_excerpt":"We consider topological structure of classical vacuum solutions in quantum chromodynamics. Topologically non-equivalent vacuum configurations are classified by non-trivial second and third homotopy groups for coset of the color group SU(N) (N=2,3) under the action of maximal Abelian stability group. Starting with explicit vacuum knot configurations we study possible exact classical solutions as vacuum excitations. Exact analytic non-static knot solution in a simple CP^1 model in Euclidean space-time has been obtained. We construct an ansatz based on knot and monopole topological vacuum structu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3527","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":"2026-05-18T03:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2gMIazy1j620sIMdnzOE1dChkvNgj4pLURsrHhDWjbzVPq2WrhB97C7E7Twe97mC20/waOru0RuUv9IFZXTvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:25:00.087421Z"},"content_sha256":"d71816afafd56ea54779d75a02676fec6b5786f78d637d3323678aafc1f8aba6","schema_version":"1.0","event_id":"sha256:d71816afafd56ea54779d75a02676fec6b5786f78d637d3323678aafc1f8aba6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FBRZYMFSMVBTNFOK57RY5VL5WY/bundle.json","state_url":"https://pith.science/pith/FBRZYMFSMVBTNFOK57RY5VL5WY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FBRZYMFSMVBTNFOK57RY5VL5WY/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":"2026-05-27T09:25:00Z","links":{"resolver":"https://pith.science/pith/FBRZYMFSMVBTNFOK57RY5VL5WY","bundle":"https://pith.science/pith/FBRZYMFSMVBTNFOK57RY5VL5WY/bundle.json","state":"https://pith.science/pith/FBRZYMFSMVBTNFOK57RY5VL5WY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FBRZYMFSMVBTNFOK57RY5VL5WY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FBRZYMFSMVBTNFOK57RY5VL5WY","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":"c73143ab6706401eb030b713e541ba578a3405cf7aa4564f4279176d9f2dc422","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-14T19:48:42Z","title_canon_sha256":"20da4b3e8e527922a7a7ce148b71135e423dc38e3144726054a98e187c884495"},"schema_version":"1.0","source":{"id":"1302.3527","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3527","created_at":"2026-05-18T03:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3527v2","created_at":"2026-05-18T03:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3527","created_at":"2026-05-18T03:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"FBRZYMFSMVBT","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FBRZYMFSMVBTNFOK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FBRZYMFS","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:d71816afafd56ea54779d75a02676fec6b5786f78d637d3323678aafc1f8aba6","target":"graph","created_at":"2026-05-18T03:12:08Z","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":"We consider topological structure of classical vacuum solutions in quantum chromodynamics. Topologically non-equivalent vacuum configurations are classified by non-trivial second and third homotopy groups for coset of the color group SU(N) (N=2,3) under the action of maximal Abelian stability group. Starting with explicit vacuum knot configurations we study possible exact classical solutions as vacuum excitations. Exact analytic non-static knot solution in a simple CP^1 model in Euclidean space-time has been obtained. We construct an ansatz based on knot and monopole topological vacuum structu","authors_text":"D.G. Pak, L.P. Zou, P.M. Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-14T19:48:42Z","title":"Knot topology in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3527","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":"sha256:65d34be705349b7a5944270f2b8cd7054e530f93ac8e59e302e70db5689f5954","target":"record","created_at":"2026-05-18T03:12:08Z","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":"c73143ab6706401eb030b713e541ba578a3405cf7aa4564f4279176d9f2dc422","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-14T19:48:42Z","title_canon_sha256":"20da4b3e8e527922a7a7ce148b71135e423dc38e3144726054a98e187c884495"},"schema_version":"1.0","source":{"id":"1302.3527","kind":"arxiv","version":2}},"canonical_sha256":"28639c30b265433695caefe38ed57db62179a92914d30a8fba9f0551b981fedb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28639c30b265433695caefe38ed57db62179a92914d30a8fba9f0551b981fedb","first_computed_at":"2026-05-18T03:12:08.871707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:08.871707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+u/GTY4RLafRrYoAbwSa/HfuVQBwuKHmAq4Zw11MSj/lYG7KWiucbNznWK1DdQRI/LuDNnjP7tw0VJN6L7vCAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:08.872367Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3527","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65d34be705349b7a5944270f2b8cd7054e530f93ac8e59e302e70db5689f5954","sha256:d71816afafd56ea54779d75a02676fec6b5786f78d637d3323678aafc1f8aba6"],"state_sha256":"2c56071b57c838aef0836aeee9e84aea40ce6ea378e8b6649e6aaf2a41949e3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RIEnVX1Lv1wUuYvSFMOEwz0k+qQKSK6BeNy5LV3h/EASOx5YyK2+gJkj3GOMe+LI7mCsljUFFXPr++dwyUUdCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:25:00.091888Z","bundle_sha256":"ba653e2d696079999529dea835c13e4a707ef3d383ea1b56bfde957971128c82"}}