{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WPCMG2ZXHAAH3HECRCIHBQDOVQ","short_pith_number":"pith:WPCMG2ZX","canonical_record":{"source":{"id":"1002.1497","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-08T17:29:14Z","cross_cats_sorted":[],"title_canon_sha256":"5fdc99de8a00b9b2703600f8cc58b436422770fbcb77125a28b4eb70c6828001","abstract_canon_sha256":"dac81474b3c04d83db25a0a3a3539c0521300b54bd04a251c2425ec631f93500"},"schema_version":"1.0"},"canonical_sha256":"b3c4c36b3738007d9c82889070c06eac03ee0a48884b31d50252471c6400922a","source":{"kind":"arxiv","id":"1002.1497","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1497","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1497v5","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1497","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"pith_short_12","alias_value":"WPCMG2ZXHAAH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WPCMG2ZXHAAH3HEC","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WPCMG2ZX","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WPCMG2ZXHAAH3HECRCIHBQDOVQ","target":"record","payload":{"canonical_record":{"source":{"id":"1002.1497","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-08T17:29:14Z","cross_cats_sorted":[],"title_canon_sha256":"5fdc99de8a00b9b2703600f8cc58b436422770fbcb77125a28b4eb70c6828001","abstract_canon_sha256":"dac81474b3c04d83db25a0a3a3539c0521300b54bd04a251c2425ec631f93500"},"schema_version":"1.0"},"canonical_sha256":"b3c4c36b3738007d9c82889070c06eac03ee0a48884b31d50252471c6400922a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:02.715916Z","signature_b64":"37qbIHZwPGIsyP6Z05iYxo5Fotv8OFab13CV1xTbktaxXA8yERtA6Yx9Em8wN0Td2ipDhH/iYec1zheQhG9ZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3c4c36b3738007d9c82889070c06eac03ee0a48884b31d50252471c6400922a","last_reissued_at":"2026-05-18T00:15:02.714994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:02.714994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.1497","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UMgl7Bh5mcYjIjGObpvppfOrkFp/6GogpgNcybtBVaPcepUFQJUQhcjI36MF0CPmvGzQzNP6fbSlNFuRPIXxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:05:51.062705Z"},"content_sha256":"fbd0a9024600176aa5e26f1ff7aff50ebfa3b3e004fa9c2663c4c46dd481a6d9","schema_version":"1.0","event_id":"sha256:fbd0a9024600176aa5e26f1ff7aff50ebfa3b3e004fa9c2663c4c46dd481a6d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WPCMG2ZXHAAH3HECRCIHBQDOVQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards a unified theory of ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Furey","submitted_at":"2010-02-08T17:29:14Z","abstract_excerpt":"Unified field theories act to merge the internal symmetries of the standard model into a single group. Here we lay out something different. That is, instead of aiming to unify the internal symmetries, we demonstrate a sense in which the group transformations may be unified with the quarks and leptons that they act on. Similarly, the (3+1) Lorentz transformations may be united with the scalars, spinors, four-vectors and field strength tensors that they act on. These simplifications occur because the representations can be found in the form of an algebra acting on itself. The approach described "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1497","kind":"arxiv","version":5},"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":"2026-05-18T00:15:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+VqBwjnbYacpH114WNauGa1eswZTV9U5/0ZwM2pZxmNTw1Q5OR21tgXceZdysO8ZYWiWgJcL4t/4haMZpzeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T21:05:51.063134Z"},"content_sha256":"389c6476c9cda432af14657e868476970ffa283d4caf08cfa2fd736be446a434","schema_version":"1.0","event_id":"sha256:389c6476c9cda432af14657e868476970ffa283d4caf08cfa2fd736be446a434"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ/bundle.json","state_url":"https://pith.science/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ/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":"2026-06-09T21:05:51Z","links":{"resolver":"https://pith.science/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ","bundle":"https://pith.science/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ/bundle.json","state":"https://pith.science/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPCMG2ZXHAAH3HECRCIHBQDOVQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WPCMG2ZXHAAH3HECRCIHBQDOVQ","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":"dac81474b3c04d83db25a0a3a3539c0521300b54bd04a251c2425ec631f93500","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-08T17:29:14Z","title_canon_sha256":"5fdc99de8a00b9b2703600f8cc58b436422770fbcb77125a28b4eb70c6828001"},"schema_version":"1.0","source":{"id":"1002.1497","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1497","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1497v5","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1497","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"pith_short_12","alias_value":"WPCMG2ZXHAAH","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WPCMG2ZXHAAH3HEC","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WPCMG2ZX","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:389c6476c9cda432af14657e868476970ffa283d4caf08cfa2fd736be446a434","target":"graph","created_at":"2026-05-18T00:15:02Z","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":"Unified field theories act to merge the internal symmetries of the standard model into a single group. Here we lay out something different. That is, instead of aiming to unify the internal symmetries, we demonstrate a sense in which the group transformations may be unified with the quarks and leptons that they act on. Similarly, the (3+1) Lorentz transformations may be united with the scalars, spinors, four-vectors and field strength tensors that they act on. These simplifications occur because the representations can be found in the form of an algebra acting on itself. The approach described ","authors_text":"C. Furey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-08T17:29:14Z","title":"Towards a unified theory of ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1497","kind":"arxiv","version":5},"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:fbd0a9024600176aa5e26f1ff7aff50ebfa3b3e004fa9c2663c4c46dd481a6d9","target":"record","created_at":"2026-05-18T00:15:02Z","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":"dac81474b3c04d83db25a0a3a3539c0521300b54bd04a251c2425ec631f93500","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-08T17:29:14Z","title_canon_sha256":"5fdc99de8a00b9b2703600f8cc58b436422770fbcb77125a28b4eb70c6828001"},"schema_version":"1.0","source":{"id":"1002.1497","kind":"arxiv","version":5}},"canonical_sha256":"b3c4c36b3738007d9c82889070c06eac03ee0a48884b31d50252471c6400922a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3c4c36b3738007d9c82889070c06eac03ee0a48884b31d50252471c6400922a","first_computed_at":"2026-05-18T00:15:02.714994Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:02.714994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"37qbIHZwPGIsyP6Z05iYxo5Fotv8OFab13CV1xTbktaxXA8yERtA6Yx9Em8wN0Td2ipDhH/iYec1zheQhG9ZBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:02.715916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.1497","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbd0a9024600176aa5e26f1ff7aff50ebfa3b3e004fa9c2663c4c46dd481a6d9","sha256:389c6476c9cda432af14657e868476970ffa283d4caf08cfa2fd736be446a434"],"state_sha256":"acda4f4c99a6305805c8e8ebf488493770c0df2b5b15e7719ad547f9f3804844"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7uKGymk2a9PQGWQnQKfdyElc20nFEh5usp7yBmv7BLsV4J2h6GlcrqNKIPPDOgACdWWU7f0pFMmIJFpynonAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T21:05:51.065892Z","bundle_sha256":"974b029547da3c31066f1842c0eeebfcc53826423be4ca2a70a1a54eb37654a8"}}