{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UDX23HUV5VM3UYALMUTKS3ZCJR","short_pith_number":"pith:UDX23HUV","canonical_record":{"source":{"id":"1006.1631","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T18:24:43Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"fb260c5ecb7d7248cf330dd2d6773fde6d0086dc24f5ba73b15972c7e6acf0d7","abstract_canon_sha256":"26d891a3fabee9258acf1844c8a1abe239eed7fb7d7a674713a8d185b21880fa"},"schema_version":"1.0"},"canonical_sha256":"a0efad9e95ed59ba600b6526a96f224c769028f05bc9be37a88a90955964cb5e","source":{"kind":"arxiv","id":"1006.1631","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1631","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1631v3","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1631","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"UDX23HUV5VM3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UDX23HUV5VM3UYAL","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UDX23HUV","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UDX23HUV5VM3UYALMUTKS3ZCJR","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1631","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T18:24:43Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"fb260c5ecb7d7248cf330dd2d6773fde6d0086dc24f5ba73b15972c7e6acf0d7","abstract_canon_sha256":"26d891a3fabee9258acf1844c8a1abe239eed7fb7d7a674713a8d185b21880fa"},"schema_version":"1.0"},"canonical_sha256":"a0efad9e95ed59ba600b6526a96f224c769028f05bc9be37a88a90955964cb5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:43.701359Z","signature_b64":"GM1OA5a893a3sDN0w+veZveytw53EGsLNjQsb1cfzDYxaU1jez7LUlkORRgAHKKImrBf2aSu3loLY1wAT3J+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0efad9e95ed59ba600b6526a96f224c769028f05bc9be37a88a90955964cb5e","last_reissued_at":"2026-05-18T04:03:43.700603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:43.700603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1631","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DKLe4XEkrXvYoU6I6VSK+dOeHHbKtrtInO0sHW5uoNBAZsHM90iTMXefbJhUhg37ngDKB29Ty4uQFIuUm5DcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:01:57.279645Z"},"content_sha256":"55e78a35626d423e409bc4e646c7828fcc1b36fb8cb681e823408c7e0f4c7c3a","schema_version":"1.0","event_id":"sha256:55e78a35626d423e409bc4e646c7828fcc1b36fb8cb681e823408c7e0f4c7c3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UDX23HUV5VM3UYALMUTKS3ZCJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Landau-Ginzburg Chern-Simons model with Ue(1)xUg(1) Gauge Symmetry and Internal Pseudo-Photons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"P. Castelo Ferreira","submitted_at":"2010-06-08T18:24:43Z","abstract_excerpt":"In this article it is studied, at variational level, a mathematical setup given by the Landau-Ginzburg Chern-Simons model for anyons in 2+1-dimensions within the framework of dimensional reduced Ue(1)xUg(1) extended electromagnetism with both vector gauge fields (photons) and pseudo-vector gauge fields (pseudo-photons) such that both magnetic and electric vortexes coexist in the planar system. This model exhibits explicit planar P and T discrete symmetries being the Hall conductivity consistently a tensor and the Dirac quantization on the electric and magnetic coupling constants is equivalent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1631","kind":"arxiv","version":3},"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":"2026-05-18T04:03:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MthmkI9yab2DffFh0xbeCHn2lJfCw8WrmnxkKQX4jF6t6U5epPS8d5JcW3iUqjrQfZqLhEW8Ns/47MaDNdYnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:01:57.279991Z"},"content_sha256":"6557230a9bd4e13204c2530cbde629572cfbc4767abaa30158514c711732f351","schema_version":"1.0","event_id":"sha256:6557230a9bd4e13204c2530cbde629572cfbc4767abaa30158514c711732f351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDX23HUV5VM3UYALMUTKS3ZCJR/bundle.json","state_url":"https://pith.science/pith/UDX23HUV5VM3UYALMUTKS3ZCJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDX23HUV5VM3UYALMUTKS3ZCJR/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":"2026-06-29T02:01:57Z","links":{"resolver":"https://pith.science/pith/UDX23HUV5VM3UYALMUTKS3ZCJR","bundle":"https://pith.science/pith/UDX23HUV5VM3UYALMUTKS3ZCJR/bundle.json","state":"https://pith.science/pith/UDX23HUV5VM3UYALMUTKS3ZCJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDX23HUV5VM3UYALMUTKS3ZCJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UDX23HUV5VM3UYALMUTKS3ZCJR","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":"26d891a3fabee9258acf1844c8a1abe239eed7fb7d7a674713a8d185b21880fa","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T18:24:43Z","title_canon_sha256":"fb260c5ecb7d7248cf330dd2d6773fde6d0086dc24f5ba73b15972c7e6acf0d7"},"schema_version":"1.0","source":{"id":"1006.1631","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1631","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1631v3","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1631","created_at":"2026-05-18T04:03:43Z"},{"alias_kind":"pith_short_12","alias_value":"UDX23HUV5VM3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UDX23HUV5VM3UYAL","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UDX23HUV","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:6557230a9bd4e13204c2530cbde629572cfbc4767abaa30158514c711732f351","target":"graph","created_at":"2026-05-18T04:03:43Z","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":"In this article it is studied, at variational level, a mathematical setup given by the Landau-Ginzburg Chern-Simons model for anyons in 2+1-dimensions within the framework of dimensional reduced Ue(1)xUg(1) extended electromagnetism with both vector gauge fields (photons) and pseudo-vector gauge fields (pseudo-photons) such that both magnetic and electric vortexes coexist in the planar system. This model exhibits explicit planar P and T discrete symmetries being the Hall conductivity consistently a tensor and the Dirac quantization on the electric and magnetic coupling constants is equivalent ","authors_text":"P. Castelo Ferreira","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T18:24:43Z","title":"Landau-Ginzburg Chern-Simons model with Ue(1)xUg(1) Gauge Symmetry and Internal Pseudo-Photons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1631","kind":"arxiv","version":3},"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":"sha256:55e78a35626d423e409bc4e646c7828fcc1b36fb8cb681e823408c7e0f4c7c3a","target":"record","created_at":"2026-05-18T04:03:43Z","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":"26d891a3fabee9258acf1844c8a1abe239eed7fb7d7a674713a8d185b21880fa","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T18:24:43Z","title_canon_sha256":"fb260c5ecb7d7248cf330dd2d6773fde6d0086dc24f5ba73b15972c7e6acf0d7"},"schema_version":"1.0","source":{"id":"1006.1631","kind":"arxiv","version":3}},"canonical_sha256":"a0efad9e95ed59ba600b6526a96f224c769028f05bc9be37a88a90955964cb5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0efad9e95ed59ba600b6526a96f224c769028f05bc9be37a88a90955964cb5e","first_computed_at":"2026-05-18T04:03:43.700603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:43.700603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GM1OA5a893a3sDN0w+veZveytw53EGsLNjQsb1cfzDYxaU1jez7LUlkORRgAHKKImrBf2aSu3loLY1wAT3J+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:43.701359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1631","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55e78a35626d423e409bc4e646c7828fcc1b36fb8cb681e823408c7e0f4c7c3a","sha256:6557230a9bd4e13204c2530cbde629572cfbc4767abaa30158514c711732f351"],"state_sha256":"abf705364a71191ea12f7f5bd17f25dc340a8057cd896eefa609811c0c660dd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HuxachBVNLE8Rtkp75N2xZdPtqdt/UjmZWPIg1QVKOwHk0YEswS+O5wAmgiiKG/ewZoMqit/TSpaw0s6mG71DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T02:01:57.281862Z","bundle_sha256":"e03e150e98f957e49b7170bf74ecb40e104a2856018c04f0789bb8c0d9f18a64"}}