{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:Y7BYSF5IV7ER7X5MR42YTYQBZI","short_pith_number":"pith:Y7BYSF5I","canonical_record":{"source":{"id":"hep-th/9512147","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-19T16:10:56Z","cross_cats_sorted":[],"title_canon_sha256":"8212416f700aa1bcf520cff54c57f78d07892d8e1d764ee5443163f6027c15d0","abstract_canon_sha256":"917e30212db3a86123bf6d6f50e2606022d1718043a9986dc66678f95663c4d1"},"schema_version":"1.0"},"canonical_sha256":"c7c38917a8afc91fdfac8f3589e201ca09c0761e0cc578f3c2a80d8a17719a39","source":{"kind":"arxiv","id":"hep-th/9512147","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9512147","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512147v2","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512147","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"Y7BYSF5IV7ER","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_16","alias_value":"Y7BYSF5IV7ER7X5M","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_8","alias_value":"Y7BYSF5I","created_at":"2026-07-04T15:59:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:Y7BYSF5IV7ER7X5MR42YTYQBZI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9512147","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-19T16:10:56Z","cross_cats_sorted":[],"title_canon_sha256":"8212416f700aa1bcf520cff54c57f78d07892d8e1d764ee5443163f6027c15d0","abstract_canon_sha256":"917e30212db3a86123bf6d6f50e2606022d1718043a9986dc66678f95663c4d1"},"schema_version":"1.0"},"canonical_sha256":"c7c38917a8afc91fdfac8f3589e201ca09c0761e0cc578f3c2a80d8a17719a39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:48.478235Z","signature_b64":"bTOG5hSDR7mSksv++lrb4LSdXtMjyVC5ZsFqDPoVVp/cXQwzE8y24Ri66pOcIVDVJdGMbhSL8I+GDEHoZFvQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7c38917a8afc91fdfac8f3589e201ca09c0761e0cc578f3c2a80d8a17719a39","last_reissued_at":"2026-07-04T15:59:48.477888Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:48.477888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9512147","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kX73qbiegvOfMGH/Aw2Aaqkc8+2Iv73M2QDZ2E2AWg5iQsRwVne8GAaAkdzdAo/wG2HG6vQ4nh6VTYjW7N0OBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:32:34.847925Z"},"content_sha256":"933c721f07547b0c693293096d3e171d29e0215d93f0f823eca4d4b569d29b11","schema_version":"1.0","event_id":"sha256:933c721f07547b0c693293096d3e171d29e0215d93f0f823eca4d4b569d29b11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:Y7BYSF5IV7ER7X5MR42YTYQBZI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective field theory of the matrix-vector model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Antal Jevicki, Jean Avan","submitted_at":"1995-12-19T16:10:56Z","abstract_excerpt":"We construct collective field theories associated with one-matrix plus $r$ vector models. Such field theories describe the continuum limit of spin Calogero Moser models. The invariant collective fields consist of a scalar density coupled to a set of fields in the adjoint representation of $U(r)$. Hermiticity conditions for the general quadratic Hamiltonians lead to a new type of extended non-linear algebra of differential operators acting on the Jacobian. It includes both Virasoro and $SU(r)$ (included in $sl(r, {\\bf C}) \\times sl(r, {\\bf C})$) current algebras. A systematic construction of ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512147","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9512147/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JsMZrfDyfR/UY69EYYuE/SDmAnH46Xuve/3bZJE+gCLgTWw534mOrOyl7BJZ8ZEBxP7Y3SRXZTMsr7qx2qz2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:32:34.848704Z"},"content_sha256":"639482e1c3172561f4cc8501df164874b8d2857b70e5ace891e0441e4875fd46","schema_version":"1.0","event_id":"sha256:639482e1c3172561f4cc8501df164874b8d2857b70e5ace891e0441e4875fd46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI/bundle.json","state_url":"https://pith.science/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI/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":"2026-08-17T07:32:34Z","links":{"resolver":"https://pith.science/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI","bundle":"https://pith.science/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI/bundle.json","state":"https://pith.science/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y7BYSF5IV7ER7X5MR42YTYQBZI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:Y7BYSF5IV7ER7X5MR42YTYQBZI","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":"917e30212db3a86123bf6d6f50e2606022d1718043a9986dc66678f95663c4d1","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-12-19T16:10:56Z","title_canon_sha256":"8212416f700aa1bcf520cff54c57f78d07892d8e1d764ee5443163f6027c15d0"},"schema_version":"1.0","source":{"id":"hep-th/9512147","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9512147","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512147v2","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512147","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"Y7BYSF5IV7ER","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_16","alias_value":"Y7BYSF5IV7ER7X5M","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_8","alias_value":"Y7BYSF5I","created_at":"2026-07-04T15:59:48Z"}],"graph_snapshots":[{"event_id":"sha256:639482e1c3172561f4cc8501df164874b8d2857b70e5ace891e0441e4875fd46","target":"graph","created_at":"2026-07-04T15:59:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9512147/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct collective field theories associated with one-matrix plus $r$ vector models. Such field theories describe the continuum limit of spin Calogero Moser models. The invariant collective fields consist of a scalar density coupled to a set of fields in the adjoint representation of $U(r)$. Hermiticity conditions for the general quadratic Hamiltonians lead to a new type of extended non-linear algebra of differential operators acting on the Jacobian. It includes both Virasoro and $SU(r)$ (included in $sl(r, {\\bf C}) \\times sl(r, {\\bf C})$) current algebras. A systematic construction of ex","authors_text":"Antal Jevicki, Jean Avan","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-12-19T16:10:56Z","title":"Collective field theory of the matrix-vector model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512147","kind":"arxiv","version":2},"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":"sha256:933c721f07547b0c693293096d3e171d29e0215d93f0f823eca4d4b569d29b11","target":"record","created_at":"2026-07-04T15:59:48Z","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":"917e30212db3a86123bf6d6f50e2606022d1718043a9986dc66678f95663c4d1","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-12-19T16:10:56Z","title_canon_sha256":"8212416f700aa1bcf520cff54c57f78d07892d8e1d764ee5443163f6027c15d0"},"schema_version":"1.0","source":{"id":"hep-th/9512147","kind":"arxiv","version":2}},"canonical_sha256":"c7c38917a8afc91fdfac8f3589e201ca09c0761e0cc578f3c2a80d8a17719a39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7c38917a8afc91fdfac8f3589e201ca09c0761e0cc578f3c2a80d8a17719a39","first_computed_at":"2026-07-04T15:59:48.477888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:48.477888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bTOG5hSDR7mSksv++lrb4LSdXtMjyVC5ZsFqDPoVVp/cXQwzE8y24Ri66pOcIVDVJdGMbhSL8I+GDEHoZFvQBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:48.478235Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9512147","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:933c721f07547b0c693293096d3e171d29e0215d93f0f823eca4d4b569d29b11","sha256:639482e1c3172561f4cc8501df164874b8d2857b70e5ace891e0441e4875fd46"],"state_sha256":"e29e9f6e4b9c782425a23ee35b9c534dd099c808d09d41d44b7797f5d66075cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c82BQjI7t9+u5LP/amY2lHjTKiVEyeaU2sZVSSBSrXgtiniGBYe0BSMcQtHKwi1oOvNskrxP5p8CsX2KrBqwAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T07:32:34.853436Z","bundle_sha256":"4b60283440f2948e5b7f7da2513aeec09df827dcb1ea8922cba71a93b2b37a6e"}}