{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:TLPB7T3IWHSG3ANMM3FT7FWMU2","short_pith_number":"pith:TLPB7T3I","canonical_record":{"source":{"id":"q-alg/9506006","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1995-06-08T13:41:41Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"83337b762857498683b2707cb8392a8d374a050626b274834f05758f793a7806","abstract_canon_sha256":"1a2b5a789d67c5daa56ec95524f34f98918475e634ddcfcebd58ab4a74ebc556"},"schema_version":"1.0"},"canonical_sha256":"9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73","source":{"kind":"arxiv","id":"q-alg/9506006","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9506006","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9506006v4","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9506006","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"TLPB7T3IWHSG","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLPB7T3IWHSG3ANM","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLPB7T3I","created_at":"2026-07-04T23:56:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:TLPB7T3IWHSG3ANMM3FT7FWMU2","target":"record","payload":{"canonical_record":{"source":{"id":"q-alg/9506006","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1995-06-08T13:41:41Z","cross_cats_sorted":["hep-th","math.QA"],"title_canon_sha256":"83337b762857498683b2707cb8392a8d374a050626b274834f05758f793a7806","abstract_canon_sha256":"1a2b5a789d67c5daa56ec95524f34f98918475e634ddcfcebd58ab4a74ebc556"},"schema_version":"1.0"},"canonical_sha256":"9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:56:44.746876Z","signature_b64":"6bhRbTFIRvqIrN2clRb90Dk796gFV8kW/rm1guMTbni0EEZHAGhrPwf4Ofudr7YP4W/USDei+inAGIVFnYrTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73","last_reissued_at":"2026-07-04T23:56:44.746464Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:56:44.746464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"q-alg/9506006","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:56:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5pcaDvnpbOBV0eHRT/4b9LfWyyDwGjNpdBglwYxCw8V//XZMQ2vqlI6j3Qo7HUZM1bu+yYpoV6SiBXV7EgABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:19:38.466364Z"},"content_sha256":"f5c1f1d54e71e246b0a1c7e3892bb92654ab414a099b64835e9c57af17c7ea39","schema_version":"1.0","event_id":"sha256:f5c1f1d54e71e246b0a1c7e3892bb92654ab414a099b64835e9c57af17c7ea39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:TLPB7T3IWHSG3ANMM3FT7FWMU2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integral Representations of the Macdonald Symmetric Functions","license":"","headline":"","cross_cats":["hep-th","math.QA"],"primary_cat":"q-alg","authors_text":"Hidetoshi Awata, Jun'ichi Shiraishi, Satoru Odake","submitted_at":"1995-06-08T13:41:41Z","abstract_excerpt":"Multiple-integral representations of the (skew-)Macdonald symmetric functions are obtained. Some bosonization schemes for the integral representations are also constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9506006","kind":"arxiv","version":4},"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/q-alg/9506006/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":"2026-07-04T23:56:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g+al2zTn2ln2b6/ewADhGp8gxVt3p3fQR4BddejLxg+fMcjfXQjj7tQjcVeMc3K1a/6M/FiE1TnqbVWNhhn6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T15:19:38.467320Z"},"content_sha256":"f53f3c8e937b95d0c687b93e5ccd4ec833a75be166750be5230433132b1da016","schema_version":"1.0","event_id":"sha256:f53f3c8e937b95d0c687b93e5ccd4ec833a75be166750be5230433132b1da016"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2/bundle.json","state_url":"https://pith.science/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2/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":"2026-08-15T15:19:38Z","links":{"resolver":"https://pith.science/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2","bundle":"https://pith.science/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2/bundle.json","state":"https://pith.science/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLPB7T3IWHSG3ANMM3FT7FWMU2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:TLPB7T3IWHSG3ANMM3FT7FWMU2","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":"1a2b5a789d67c5daa56ec95524f34f98918475e634ddcfcebd58ab4a74ebc556","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1995-06-08T13:41:41Z","title_canon_sha256":"83337b762857498683b2707cb8392a8d374a050626b274834f05758f793a7806"},"schema_version":"1.0","source":{"id":"q-alg/9506006","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9506006","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9506006v4","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9506006","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"TLPB7T3IWHSG","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLPB7T3IWHSG3ANM","created_at":"2026-07-04T23:56:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLPB7T3I","created_at":"2026-07-04T23:56:44Z"}],"graph_snapshots":[{"event_id":"sha256:f53f3c8e937b95d0c687b93e5ccd4ec833a75be166750be5230433132b1da016","target":"graph","created_at":"2026-07-04T23:56:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/q-alg/9506006/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multiple-integral representations of the (skew-)Macdonald symmetric functions are obtained. Some bosonization schemes for the integral representations are also constructed.","authors_text":"Hidetoshi Awata, Jun'ichi Shiraishi, Satoru Odake","cross_cats":["hep-th","math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1995-06-08T13:41:41Z","title":"Integral Representations of the Macdonald Symmetric Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9506006","kind":"arxiv","version":4},"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:f5c1f1d54e71e246b0a1c7e3892bb92654ab414a099b64835e9c57af17c7ea39","target":"record","created_at":"2026-07-04T23:56:44Z","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":"1a2b5a789d67c5daa56ec95524f34f98918475e634ddcfcebd58ab4a74ebc556","cross_cats_sorted":["hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1995-06-08T13:41:41Z","title_canon_sha256":"83337b762857498683b2707cb8392a8d374a050626b274834f05758f793a7806"},"schema_version":"1.0","source":{"id":"q-alg/9506006","kind":"arxiv","version":4}},"canonical_sha256":"9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ade1fcf68b1e46d81ac66cb3f96cca6968267e079bf22391e6fd4f265baeb73","first_computed_at":"2026-07-04T23:56:44.746464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:56:44.746464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6bhRbTFIRvqIrN2clRb90Dk796gFV8kW/rm1guMTbni0EEZHAGhrPwf4Ofudr7YP4W/USDei+inAGIVFnYrTCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:56:44.746876Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9506006","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5c1f1d54e71e246b0a1c7e3892bb92654ab414a099b64835e9c57af17c7ea39","sha256:f53f3c8e937b95d0c687b93e5ccd4ec833a75be166750be5230433132b1da016"],"state_sha256":"e6fe9c6f4a3ee562d66db792a7a4fdefebb94b736ab2adf1f621c6f76b51405f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+MZVWcxEC5mn9bXDEt59GJTYbYh/Xt72o1TKP2f+UZTYL0yl9OxMXTR7REVWedp+yasV2O+X193as7+bqY74DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T15:19:38.472635Z","bundle_sha256":"24082d6eb1d2460097ea6e6ecc177ab30d56de86850f18667c9adfa9dfac5428"}}