{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:UYCCHIUVGOTYOGP7YUMPPRG3HW","short_pith_number":"pith:UYCCHIUV","canonical_record":{"source":{"id":"hep-th/9202026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-02-07T17:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"cf6fb9e4b5d76a1d3197432bf9b7693f6a9a8375191a9b481efab0704d3ded23","abstract_canon_sha256":"c84ed12d87169abcd1d780b8c668ea0286e6a48069f0dfc71963a8205413a0bf"},"schema_version":"1.0"},"canonical_sha256":"a60423a29533a78719ffc518f7c4db3d9baba83c237498d5d9d4a459dd6fab4c","source":{"kind":"arxiv","id":"hep-th/9202026","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9202026","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9202026v1","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9202026","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"pith_short_12","alias_value":"UYCCHIUVGOTY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"UYCCHIUVGOTYOGP7","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"UYCCHIUV","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:UYCCHIUVGOTYOGP7YUMPPRG3HW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9202026","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-02-07T17:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"cf6fb9e4b5d76a1d3197432bf9b7693f6a9a8375191a9b481efab0704d3ded23","abstract_canon_sha256":"c84ed12d87169abcd1d780b8c668ea0286e6a48069f0dfc71963a8205413a0bf"},"schema_version":"1.0"},"canonical_sha256":"a60423a29533a78719ffc518f7c4db3d9baba83c237498d5d9d4a459dd6fab4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:44.997595Z","signature_b64":"yNfFmdXSs8d3EftqIQAvQxHQ1kMOQe9g78UbNP5D+sq0bksqD6qoSQTB/bX0HHfKvUccOvsk9rAqeUTSCV/IDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a60423a29533a78719ffc518f7c4db3d9baba83c237498d5d9d4a459dd6fab4c","last_reissued_at":"2026-05-18T01:38:44.997046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:44.997046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9202026","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":"2026-05-18T01:38:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lG6UWQa59bRwjgTgCHfMGEWbXGAUjMwosMkdvxN6KGMYohE5CHhWVXXNoacOCSxqwIwlHo+tiiK7jUIwfakhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:32:40.389571Z"},"content_sha256":"f4a03594908f2a3d559d7056342ed7e813eff530e5ed5b999d09a3d7c9299592","schema_version":"1.0","event_id":"sha256:f4a03594908f2a3d559d7056342ed7e813eff530e5ed5b999d09a3d7c9299592"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:UYCCHIUVGOTYOGP7YUMPPRG3HW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$CP^N$ Model With a Chern-Simons Term","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G. Ferretti, S.G. Rajeev","submitted_at":"1992-02-07T17:43:00Z","abstract_excerpt":"The $CP^N$ model in three euclidean dimensions is studied in the presence of a Chern-Simons term using the $1/N$ expansion. The $\\beta$-function for the CS coefficient $\\theta$ is found to be zero to order $1/N$ in the unbroken phase by an explicit calculation. It is argued to be zero to all orders. Some remarks on the $\\theta$ dependence of the critical exponents are also made."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9202026","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":"2026-05-18T01:38:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sWSzfbAJCcNlE8jSrspc76qLMmUbkrLirAP0Z6XLfXs1YisQS5EvPQw3DVbdTFQ4G3iLFP8bxjzaQcc3LXdqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:32:40.389908Z"},"content_sha256":"18d7bc3a038de51b758afc19926cb80de4e4458d4ff3261d811d09d40b3abd30","schema_version":"1.0","event_id":"sha256:18d7bc3a038de51b758afc19926cb80de4e4458d4ff3261d811d09d40b3abd30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW/bundle.json","state_url":"https://pith.science/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW/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":"2026-06-02T02:32:40Z","links":{"resolver":"https://pith.science/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW","bundle":"https://pith.science/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW/bundle.json","state":"https://pith.science/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UYCCHIUVGOTYOGP7YUMPPRG3HW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:UYCCHIUVGOTYOGP7YUMPPRG3HW","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":"c84ed12d87169abcd1d780b8c668ea0286e6a48069f0dfc71963a8205413a0bf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-02-07T17:43:00Z","title_canon_sha256":"cf6fb9e4b5d76a1d3197432bf9b7693f6a9a8375191a9b481efab0704d3ded23"},"schema_version":"1.0","source":{"id":"hep-th/9202026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9202026","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9202026v1","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9202026","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"pith_short_12","alias_value":"UYCCHIUVGOTY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"UYCCHIUVGOTYOGP7","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"UYCCHIUV","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:18d7bc3a038de51b758afc19926cb80de4e4458d4ff3261d811d09d40b3abd30","target":"graph","created_at":"2026-05-18T01:38:44Z","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":"The $CP^N$ model in three euclidean dimensions is studied in the presence of a Chern-Simons term using the $1/N$ expansion. The $\\beta$-function for the CS coefficient $\\theta$ is found to be zero to order $1/N$ in the unbroken phase by an explicit calculation. It is argued to be zero to all orders. Some remarks on the $\\theta$ dependence of the critical exponents are also made.","authors_text":"G. Ferretti, S.G. Rajeev","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-02-07T17:43:00Z","title":"$CP^N$ Model With a Chern-Simons Term"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9202026","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:f4a03594908f2a3d559d7056342ed7e813eff530e5ed5b999d09a3d7c9299592","target":"record","created_at":"2026-05-18T01:38:44Z","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":"c84ed12d87169abcd1d780b8c668ea0286e6a48069f0dfc71963a8205413a0bf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-02-07T17:43:00Z","title_canon_sha256":"cf6fb9e4b5d76a1d3197432bf9b7693f6a9a8375191a9b481efab0704d3ded23"},"schema_version":"1.0","source":{"id":"hep-th/9202026","kind":"arxiv","version":1}},"canonical_sha256":"a60423a29533a78719ffc518f7c4db3d9baba83c237498d5d9d4a459dd6fab4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a60423a29533a78719ffc518f7c4db3d9baba83c237498d5d9d4a459dd6fab4c","first_computed_at":"2026-05-18T01:38:44.997046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:44.997046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yNfFmdXSs8d3EftqIQAvQxHQ1kMOQe9g78UbNP5D+sq0bksqD6qoSQTB/bX0HHfKvUccOvsk9rAqeUTSCV/IDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:44.997595Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9202026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4a03594908f2a3d559d7056342ed7e813eff530e5ed5b999d09a3d7c9299592","sha256:18d7bc3a038de51b758afc19926cb80de4e4458d4ff3261d811d09d40b3abd30"],"state_sha256":"bd0274e3b49a390ae584954372277476e9ac003af9e574b89be65e53427eca04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFLe0wBjDXRdY/9bnD05uqXRFcuRsSUpgtLGzBIhAk7sUUFWI8wGvCTOu5DOW4zyD+jT96pts1ZEYonfOHWCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:32:40.391762Z","bundle_sha256":"484e8b2d2f7705f5dca4dc900127d60c94c38793d456030a3c4b0fb5d0e082a3"}}