{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WIWHMRF6GJCP3UZYHXSNJC2H4J","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":"e5efaa007e7ed203bd2efc4008d83cfad0ee2cb3606b5c4a5dd92f6d978cba87","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T07:38:57Z","title_canon_sha256":"8d85fb1c3ac1e9681163f0aab0bae64f6fd96a083a2a8afb0637c126764c6e31"},"schema_version":"1.0","source":{"id":"1401.4812","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.4812","created_at":"2026-05-18T01:45:19Z"},{"alias_kind":"arxiv_version","alias_value":"1401.4812v1","created_at":"2026-05-18T01:45:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4812","created_at":"2026-05-18T01:45:19Z"},{"alias_kind":"pith_short_12","alias_value":"WIWHMRF6GJCP","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WIWHMRF6GJCP3UZY","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WIWHMRF6","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:35b5282b9a3238628021fa84fa2fc1bb54e1940cb7dc2eb72e55163164e79b6e","target":"graph","created_at":"2026-05-18T01:45:19Z","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 investigate metric independent, gauge invariant and closed forms in the generalized YM theory. These forms are polynomial on the corresponding fields strength tensors - curvature forms and are analogous to the Pontryagin-Chern densities in the YM gauge theory. The corresponding secondary characteristic classes have been expressed in integral form in analogy with the Chern-Simons form. Because they are not unique, the secondary forms can be dramatically simplified by the addition of properly chosen differentials of one-step-lower-order forms. Their gauge variation can also be found yielding ","authors_text":"George Savvidy, Spyros Konitopoulos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T07:38:57Z","title":"Extension of Chern-Simons forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4812","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:f5d99bac53f67cf53e2c2f68f8214e954b01929d6bd5f3fc819c67091d713b24","target":"record","created_at":"2026-05-18T01:45:19Z","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":"e5efaa007e7ed203bd2efc4008d83cfad0ee2cb3606b5c4a5dd92f6d978cba87","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-20T07:38:57Z","title_canon_sha256":"8d85fb1c3ac1e9681163f0aab0bae64f6fd96a083a2a8afb0637c126764c6e31"},"schema_version":"1.0","source":{"id":"1401.4812","kind":"arxiv","version":1}},"canonical_sha256":"b22c7644be3244fdd3383de4d48b47e267ffb86c50b63a9ebc6dc8a06fe9ff64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b22c7644be3244fdd3383de4d48b47e267ffb86c50b63a9ebc6dc8a06fe9ff64","first_computed_at":"2026-05-18T01:45:19.125172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:19.125172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eAOi1i4lp6RZ+hCYnKujLS3VWd/tDeKLA8jaqWgBIAAX8IflNK4LM1uTrrlCAT5hRt9WReO0T6SRrJBzovgwDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:19.125595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.4812","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5d99bac53f67cf53e2c2f68f8214e954b01929d6bd5f3fc819c67091d713b24","sha256:35b5282b9a3238628021fa84fa2fc1bb54e1940cb7dc2eb72e55163164e79b6e"],"state_sha256":"6dabf71ab9d8bd696730a336613fed859db315af3a0cd228a434b3cdb9806fd8"}