{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:YOTYZXG2SNSZZG7RGGSELPOA7U","short_pith_number":"pith:YOTYZXG2","canonical_record":{"source":{"id":"hep-th/9510210","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-10-29T18:31:59Z","cross_cats_sorted":["hep-ph","math.QA","q-alg"],"title_canon_sha256":"fb87b8e26ddcd1d8f696b1db9a3ad0d1345fc08b831592c487ad00fb5edb5bac","abstract_canon_sha256":"624a2cf0c2d2217139a305bedcdda01f54aa9671a819acdd8198ac3cb2f7542a"},"schema_version":"1.0"},"canonical_sha256":"c3a78cdcda93659c9bf131a445bdc0fd2e872da2bbafde1273beba5e33bfdfda","source":{"kind":"arxiv","id":"hep-th/9510210","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9510210","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9510210v3","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9510210","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"YOTYZXG2SNSZ","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"pith_short_16","alias_value":"YOTYZXG2SNSZZG7R","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"pith_short_8","alias_value":"YOTYZXG2","created_at":"2026-07-04T15:59:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:YOTYZXG2SNSZZG7RGGSELPOA7U","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9510210","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-10-29T18:31:59Z","cross_cats_sorted":["hep-ph","math.QA","q-alg"],"title_canon_sha256":"fb87b8e26ddcd1d8f696b1db9a3ad0d1345fc08b831592c487ad00fb5edb5bac","abstract_canon_sha256":"624a2cf0c2d2217139a305bedcdda01f54aa9671a819acdd8198ac3cb2f7542a"},"schema_version":"1.0"},"canonical_sha256":"c3a78cdcda93659c9bf131a445bdc0fd2e872da2bbafde1273beba5e33bfdfda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:45.701346Z","signature_b64":"p3+9qMNDrOMDEku1lwQJzzsTwIjJg673m2qNPzpzJqpZbPwpoBxG8OgzPyOdcbwSImLxz8RclE2VkIlR4j1mBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3a78cdcda93659c9bf131a445bdc0fd2e872da2bbafde1273beba5e33bfdfda","last_reissued_at":"2026-07-04T15:59:45.700980Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:45.700980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9510210","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":"2026-07-04T15:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WwRPoMiPOQIvMSlNWjiNIbGsZEocxc5sfdL6wgT6v67zS4BdF3jwkRvMHHLSmzvvxV0CJxCqUoEfPTLCiADbAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T02:30:27.057359Z"},"content_sha256":"6c80dc79407221c354223b7ac5d3efed2cd6f604c32007fac6222bb78e082333","schema_version":"1.0","event_id":"sha256:6c80dc79407221c354223b7ac5d3efed2cd6f604c32007fac6222bb78e082333"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:YOTYZXG2SNSZZG7RGGSELPOA7U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Master Field for QCD and $q$-Deformed Quantum Field Theory","license":"","headline":"","cross_cats":["hep-ph","math.QA","q-alg"],"primary_cat":"hep-th","authors_text":"I.V.Volovich, I.Ya.Aref'eva","submitted_at":"1995-10-29T18:31:59Z","abstract_excerpt":"The master fields for the large $N$ limit of matrix models and gauge theory are constructed. The master fields satisfy to standard equations of relativistic field theory but fields are quantized according to a new rule. To define the master field we use the Yang-Feldman equation with a free field quantized in the Boltzmannian Fock space. The master field for gauge theory does not take values in a finite-dimensional Lie algebra however there is a non-Abelian gauge symmetry. For the construction of the master field it is essential to work in Minkowski space-time and to use the Wightman correlati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9510210","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9510210/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":"2026-07-04T15:59:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wle9FqXB2UD3AieCK48EvbO4nmW7XVSmjEaW7qBi9sm6StHJM73oKzVLgxNkscMMA9F03T0nd3jwqUeF48WVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T02:30:27.058295Z"},"content_sha256":"36f69031a288943860811c3a8449be4edd12166595ed6a2186e966143863e5ed","schema_version":"1.0","event_id":"sha256:36f69031a288943860811c3a8449be4edd12166595ed6a2186e966143863e5ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YOTYZXG2SNSZZG7RGGSELPOA7U/bundle.json","state_url":"https://pith.science/pith/YOTYZXG2SNSZZG7RGGSELPOA7U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YOTYZXG2SNSZZG7RGGSELPOA7U/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":"2026-08-07T02:30:27Z","links":{"resolver":"https://pith.science/pith/YOTYZXG2SNSZZG7RGGSELPOA7U","bundle":"https://pith.science/pith/YOTYZXG2SNSZZG7RGGSELPOA7U/bundle.json","state":"https://pith.science/pith/YOTYZXG2SNSZZG7RGGSELPOA7U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YOTYZXG2SNSZZG7RGGSELPOA7U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:YOTYZXG2SNSZZG7RGGSELPOA7U","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":"624a2cf0c2d2217139a305bedcdda01f54aa9671a819acdd8198ac3cb2f7542a","cross_cats_sorted":["hep-ph","math.QA","q-alg"],"license":"","primary_cat":"hep-th","submitted_at":"1995-10-29T18:31:59Z","title_canon_sha256":"fb87b8e26ddcd1d8f696b1db9a3ad0d1345fc08b831592c487ad00fb5edb5bac"},"schema_version":"1.0","source":{"id":"hep-th/9510210","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9510210","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9510210v3","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9510210","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"YOTYZXG2SNSZ","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"pith_short_16","alias_value":"YOTYZXG2SNSZZG7R","created_at":"2026-07-04T15:59:45Z"},{"alias_kind":"pith_short_8","alias_value":"YOTYZXG2","created_at":"2026-07-04T15:59:45Z"}],"graph_snapshots":[{"event_id":"sha256:36f69031a288943860811c3a8449be4edd12166595ed6a2186e966143863e5ed","target":"graph","created_at":"2026-07-04T15:59:45Z","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/9510210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The master fields for the large $N$ limit of matrix models and gauge theory are constructed. The master fields satisfy to standard equations of relativistic field theory but fields are quantized according to a new rule. To define the master field we use the Yang-Feldman equation with a free field quantized in the Boltzmannian Fock space. The master field for gauge theory does not take values in a finite-dimensional Lie algebra however there is a non-Abelian gauge symmetry. For the construction of the master field it is essential to work in Minkowski space-time and to use the Wightman correlati","authors_text":"I.V.Volovich, I.Ya.Aref'eva","cross_cats":["hep-ph","math.QA","q-alg"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-10-29T18:31:59Z","title":"The Master Field for QCD and $q$-Deformed Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9510210","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":"sha256:6c80dc79407221c354223b7ac5d3efed2cd6f604c32007fac6222bb78e082333","target":"record","created_at":"2026-07-04T15:59:45Z","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":"624a2cf0c2d2217139a305bedcdda01f54aa9671a819acdd8198ac3cb2f7542a","cross_cats_sorted":["hep-ph","math.QA","q-alg"],"license":"","primary_cat":"hep-th","submitted_at":"1995-10-29T18:31:59Z","title_canon_sha256":"fb87b8e26ddcd1d8f696b1db9a3ad0d1345fc08b831592c487ad00fb5edb5bac"},"schema_version":"1.0","source":{"id":"hep-th/9510210","kind":"arxiv","version":3}},"canonical_sha256":"c3a78cdcda93659c9bf131a445bdc0fd2e872da2bbafde1273beba5e33bfdfda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3a78cdcda93659c9bf131a445bdc0fd2e872da2bbafde1273beba5e33bfdfda","first_computed_at":"2026-07-04T15:59:45.700980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:45.700980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p3+9qMNDrOMDEku1lwQJzzsTwIjJg673m2qNPzpzJqpZbPwpoBxG8OgzPyOdcbwSImLxz8RclE2VkIlR4j1mBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:45.701346Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9510210","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c80dc79407221c354223b7ac5d3efed2cd6f604c32007fac6222bb78e082333","sha256:36f69031a288943860811c3a8449be4edd12166595ed6a2186e966143863e5ed"],"state_sha256":"513861cc15ff742c7fc11c46ebd2fb79c25774779a5916def15585b75a2de84c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UbKHbvqCOQ5kpHyfiIoyBHAY/6Dy8kDa6gYcBoIbLg4wzPGnUv67bviwXCxh6kNjCSbRzT3PfohfS7UPmKQKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T02:30:27.064625Z","bundle_sha256":"09929b3684dc543f0a8d1755ccd088ca520804ae1fe5dbcd7b78f37019a0e0d5"}}