{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:I2RRIQCU3HNEEQRFLGLYZKLSKE","short_pith_number":"pith:I2RRIQCU","canonical_record":{"source":{"id":"cond-mat/9506115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-26T16:19:51Z","cross_cats_sorted":[],"title_canon_sha256":"dc099e9d8264953dcc6a9d24d88b8ba824455cfd283930a0aa28c45f8c8a33a8","abstract_canon_sha256":"e07b63bd60857e927ed2c9618610e23094bd814f639adb97663b10878e8015a7"},"schema_version":"1.0"},"canonical_sha256":"46a3144054d9da42422559978ca9725134033bcede176aea0c6c3c23bb5e5938","source":{"kind":"arxiv","id":"cond-mat/9506115","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9506115","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9506115v1","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9506115","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"pith_short_12","alias_value":"I2RRIQCU3HNE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"I2RRIQCU3HNEEQRF","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"I2RRIQCU","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:I2RRIQCU3HNEEQRFLGLYZKLSKE","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9506115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-26T16:19:51Z","cross_cats_sorted":[],"title_canon_sha256":"dc099e9d8264953dcc6a9d24d88b8ba824455cfd283930a0aa28c45f8c8a33a8","abstract_canon_sha256":"e07b63bd60857e927ed2c9618610e23094bd814f639adb97663b10878e8015a7"},"schema_version":"1.0"},"canonical_sha256":"46a3144054d9da42422559978ca9725134033bcede176aea0c6c3c23bb5e5938","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:35.042801Z","signature_b64":"S3QZAACK6cOQSoouazWRn/QPUtsa6QKujTbh0uT1a+lUrlw8+eUw2hqFgboF/v39Owpp1FBo9cG+mjD21bP1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46a3144054d9da42422559978ca9725134033bcede176aea0c6c3c23bb5e5938","last_reissued_at":"2026-05-18T01:39:35.042104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:35.042104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9506115","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":"2026-05-18T01:39:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ScXy5RqTs38wTldxA7fYgcqeib2JAby01NqE/8qeUPgHq125dDGO1ZmB59653wgEAvoRFzsu6swHonQbziBoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T12:50:38.134488Z"},"content_sha256":"eb4c73712fa90ea3e6aab27b61155f57481489dda2b54e1e8f8796fc2f7b5489","schema_version":"1.0","event_id":"sha256:eb4c73712fa90ea3e6aab27b61155f57481489dda2b54e1e8f8796fc2f7b5489"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:I2RRIQCU3HNEEQRFLGLYZKLSKE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"J.M.F.Gunn, K.N.Ilinski","submitted_at":"1995-06-26T16:19:51Z","abstract_excerpt":"The discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case \\cite{IG} of $g=1/p$ for the statistical parameter to the case of rational $g=q/p$ with $q,p$-coprime positive integers. The corresponding statistical mechanics for a gas of such particles is constructed. This procedure is used to define the statistical mechanics for particles with irrational $g$. Applications to strongly correlated systems such as the Hubbard and $t-J$ models are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9506115","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":"2026-05-18T01:39:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4u66R9DlPPptcxNzuRqRdyPF4iK/cXYuKo+LAQ5q4+EouvqZOLWjYyc92asqpMNKhbgrRY/ovGY5o3tqycq+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T12:50:38.134827Z"},"content_sha256":"82b5fe076130d4e6d27a4775d2a183d0ba94063aab0294cbfac948d5ec7a488e","schema_version":"1.0","event_id":"sha256:82b5fe076130d4e6d27a4775d2a183d0ba94063aab0294cbfac948d5ec7a488e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE/bundle.json","state_url":"https://pith.science/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE/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":"2026-06-23T12:50:38Z","links":{"resolver":"https://pith.science/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE","bundle":"https://pith.science/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE/bundle.json","state":"https://pith.science/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2RRIQCU3HNEEQRFLGLYZKLSKE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:I2RRIQCU3HNEEQRFLGLYZKLSKE","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":"e07b63bd60857e927ed2c9618610e23094bd814f639adb97663b10878e8015a7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-26T16:19:51Z","title_canon_sha256":"dc099e9d8264953dcc6a9d24d88b8ba824455cfd283930a0aa28c45f8c8a33a8"},"schema_version":"1.0","source":{"id":"cond-mat/9506115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9506115","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9506115v1","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9506115","created_at":"2026-05-18T01:39:35Z"},{"alias_kind":"pith_short_12","alias_value":"I2RRIQCU3HNE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"I2RRIQCU3HNEEQRF","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"I2RRIQCU","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:82b5fe076130d4e6d27a4775d2a183d0ba94063aab0294cbfac948d5ec7a488e","target":"graph","created_at":"2026-05-18T01:39:35Z","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 discussion of Fractional dimensional Hilbert spaces in the context of Haldane exclusion statistics is extended from the case \\cite{IG} of $g=1/p$ for the statistical parameter to the case of rational $g=q/p$ with $q,p$-coprime positive integers. The corresponding statistical mechanics for a gas of such particles is constructed. This procedure is used to define the statistical mechanics for particles with irrational $g$. Applications to strongly correlated systems such as the Hubbard and $t-J$ models are discussed.","authors_text":"J.M.F.Gunn, K.N.Ilinski","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1995-06-26T16:19:51Z","title":"Fractional dimensional Fock space and Haldane's exclusion statistics. q/p case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9506115","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:eb4c73712fa90ea3e6aab27b61155f57481489dda2b54e1e8f8796fc2f7b5489","target":"record","created_at":"2026-05-18T01:39:35Z","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":"e07b63bd60857e927ed2c9618610e23094bd814f639adb97663b10878e8015a7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-26T16:19:51Z","title_canon_sha256":"dc099e9d8264953dcc6a9d24d88b8ba824455cfd283930a0aa28c45f8c8a33a8"},"schema_version":"1.0","source":{"id":"cond-mat/9506115","kind":"arxiv","version":1}},"canonical_sha256":"46a3144054d9da42422559978ca9725134033bcede176aea0c6c3c23bb5e5938","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46a3144054d9da42422559978ca9725134033bcede176aea0c6c3c23bb5e5938","first_computed_at":"2026-05-18T01:39:35.042104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:35.042104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S3QZAACK6cOQSoouazWRn/QPUtsa6QKujTbh0uT1a+lUrlw8+eUw2hqFgboF/v39Owpp1FBo9cG+mjD21bP1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:35.042801Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9506115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb4c73712fa90ea3e6aab27b61155f57481489dda2b54e1e8f8796fc2f7b5489","sha256:82b5fe076130d4e6d27a4775d2a183d0ba94063aab0294cbfac948d5ec7a488e"],"state_sha256":"9a4835dad9fb14bb833d9d1c106924e3cb58da3c54ba3cfcddd6ad9e55e97fdf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"crfSp4bZEmFziqC4o6qQfa1U7ByYpQgIUvRr9+KvaclGK83KlAAEfgu0j87dFhohOd/fww1G1soo01r3wCWuBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T12:50:38.136835Z","bundle_sha256":"f596d16f9d1c81e40e2923dc6d95cf7d6e7fba99b51424c170e079e03e322f9a"}}