{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:T7GMJWP5IWF7LESHF54CA6NDI7","short_pith_number":"pith:T7GMJWP5","canonical_record":{"source":{"id":"1304.2037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-07T18:23:50Z","cross_cats_sorted":[],"title_canon_sha256":"316ebaa616b90d04b83c3ca870f3fcde743517ae3ca0d5dfbc3c68e04b921626","abstract_canon_sha256":"97805a5a7c8a0290865801d5527bf0814139219228032e4f86aa5328d76824f5"},"schema_version":"1.0"},"canonical_sha256":"9fccc4d9fd458bf592472f782079a347e0ceb183f2092454e25a4f377eb3c5b0","source":{"kind":"arxiv","id":"1304.2037","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2037","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2037v1","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2037","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"T7GMJWP5IWF7","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7GMJWP5IWF7LESH","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7GMJWP5","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:T7GMJWP5IWF7LESHF54CA6NDI7","target":"record","payload":{"canonical_record":{"source":{"id":"1304.2037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-07T18:23:50Z","cross_cats_sorted":[],"title_canon_sha256":"316ebaa616b90d04b83c3ca870f3fcde743517ae3ca0d5dfbc3c68e04b921626","abstract_canon_sha256":"97805a5a7c8a0290865801d5527bf0814139219228032e4f86aa5328d76824f5"},"schema_version":"1.0"},"canonical_sha256":"9fccc4d9fd458bf592472f782079a347e0ceb183f2092454e25a4f377eb3c5b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:44.250400Z","signature_b64":"QHDrbafDiJ9OxQBLrZA8kEg1SY7SWgNmgpV3/wa/du17MytA2zgk9IFymg5E1brB4nxvnXnTW0apQJ/CPQeOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fccc4d9fd458bf592472f782079a347e0ceb183f2092454e25a4f377eb3c5b0","last_reissued_at":"2026-05-18T03:28:44.249570Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:44.249570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.2037","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":"2026-05-18T03:28:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4eA+9GPiOLRBV2kpTkgl0vRKHC2dY8/7z4dPEdOFR8YfS7jkZT/8dn7LiBjKuKPNhzd2iYkb+6GEkxVz0XXJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T00:30:25.530506Z"},"content_sha256":"ff9069d855b5692d433378ac744eaf42704045546f97e9fb006da951268c3d29","schema_version":"1.0","event_id":"sha256:ff9069d855b5692d433378ac744eaf42704045546f97e9fb006da951268c3d29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:T7GMJWP5IWF7LESHF54CA6NDI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extraordinary Invariants are Seeds that Grow Interacting Theories Out of Free Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. A. Dixon","submitted_at":"2013-04-07T18:23:50Z","abstract_excerpt":"Extraordinary Invariants are elements of the BRST Cohomology Space which are irrevocably dependent on Zinn sources. The existence of an Extraordinary Invariant means that the symmetry is broken in that sector, and that the field equations can almost rescue the invariance. Adding the Extraordinary Invariant to the action results in a new theory with constraints on the starting theory. So Extraordinary Invariants are seeds from which a theory can grow.\n  For a simple example, it is shown in this paper how Yang Mills theory is implicitly contained in the BRST Cohomology of Free Gauge Theory. It c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2037","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":"2026-05-18T03:28:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6apG33y15ktbjHDrfNc6neyuCjtMnNYQa8DHKAbh5VTlnwoxa+GJdZGCzQkgbgeA+od6p29I+GzF34fvU8ZPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T00:30:25.530851Z"},"content_sha256":"1b34cc3ee0bfadc1211a6e7eb9d5b4dcb5c55d38d16e5e221a3b2536351c4ade","schema_version":"1.0","event_id":"sha256:1b34cc3ee0bfadc1211a6e7eb9d5b4dcb5c55d38d16e5e221a3b2536351c4ade"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7GMJWP5IWF7LESHF54CA6NDI7/bundle.json","state_url":"https://pith.science/pith/T7GMJWP5IWF7LESHF54CA6NDI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7GMJWP5IWF7LESHF54CA6NDI7/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":"2026-06-09T00:30:25Z","links":{"resolver":"https://pith.science/pith/T7GMJWP5IWF7LESHF54CA6NDI7","bundle":"https://pith.science/pith/T7GMJWP5IWF7LESHF54CA6NDI7/bundle.json","state":"https://pith.science/pith/T7GMJWP5IWF7LESHF54CA6NDI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7GMJWP5IWF7LESHF54CA6NDI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T7GMJWP5IWF7LESHF54CA6NDI7","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":"97805a5a7c8a0290865801d5527bf0814139219228032e4f86aa5328d76824f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-07T18:23:50Z","title_canon_sha256":"316ebaa616b90d04b83c3ca870f3fcde743517ae3ca0d5dfbc3c68e04b921626"},"schema_version":"1.0","source":{"id":"1304.2037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2037","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2037v1","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2037","created_at":"2026-05-18T03:28:44Z"},{"alias_kind":"pith_short_12","alias_value":"T7GMJWP5IWF7","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7GMJWP5IWF7LESH","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7GMJWP5","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:1b34cc3ee0bfadc1211a6e7eb9d5b4dcb5c55d38d16e5e221a3b2536351c4ade","target":"graph","created_at":"2026-05-18T03:28:44Z","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":"Extraordinary Invariants are elements of the BRST Cohomology Space which are irrevocably dependent on Zinn sources. The existence of an Extraordinary Invariant means that the symmetry is broken in that sector, and that the field equations can almost rescue the invariance. Adding the Extraordinary Invariant to the action results in a new theory with constraints on the starting theory. So Extraordinary Invariants are seeds from which a theory can grow.\n  For a simple example, it is shown in this paper how Yang Mills theory is implicitly contained in the BRST Cohomology of Free Gauge Theory. It c","authors_text":"J. A. Dixon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-07T18:23:50Z","title":"Extraordinary Invariants are Seeds that Grow Interacting Theories Out of Free Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2037","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:ff9069d855b5692d433378ac744eaf42704045546f97e9fb006da951268c3d29","target":"record","created_at":"2026-05-18T03:28:44Z","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":"97805a5a7c8a0290865801d5527bf0814139219228032e4f86aa5328d76824f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-07T18:23:50Z","title_canon_sha256":"316ebaa616b90d04b83c3ca870f3fcde743517ae3ca0d5dfbc3c68e04b921626"},"schema_version":"1.0","source":{"id":"1304.2037","kind":"arxiv","version":1}},"canonical_sha256":"9fccc4d9fd458bf592472f782079a347e0ceb183f2092454e25a4f377eb3c5b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fccc4d9fd458bf592472f782079a347e0ceb183f2092454e25a4f377eb3c5b0","first_computed_at":"2026-05-18T03:28:44.249570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:44.249570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QHDrbafDiJ9OxQBLrZA8kEg1SY7SWgNmgpV3/wa/du17MytA2zgk9IFymg5E1brB4nxvnXnTW0apQJ/CPQeOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:44.250400Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff9069d855b5692d433378ac744eaf42704045546f97e9fb006da951268c3d29","sha256:1b34cc3ee0bfadc1211a6e7eb9d5b4dcb5c55d38d16e5e221a3b2536351c4ade"],"state_sha256":"6722093641297e103ffe17b5851f07365869512ab4cdb3b73618d9caf8b37218"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X3Luvw51VTjd3piKt1QU+MBulD8cFFxebEgwUnGB2lfWzWGWtfojMwgHEB6/7XMHsgGmfJGUn62CcuUEB24TBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T00:30:25.532740Z","bundle_sha256":"ff036999b00f8d676a84b0a756e5772d7cbc673e945ed1e0c0096333d212185d"}}