{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:EVNBPFKNXHR6F42NH5OHLLZ6MM","short_pith_number":"pith:EVNBPFKN","canonical_record":{"source":{"id":"1904.07843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-16T17:48:14Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d4b03e090c091bdef609d6e2410462306a33c0ac9b01843ead4b8af3673d1f65","abstract_canon_sha256":"cd759c8a485ca2c9c9d4cdd6082a25aed9ce92a7cc3b41ece125734f48c22051"},"schema_version":"1.0"},"canonical_sha256":"255a17954db9e3e2f34d3f5c75af3e632024bfda672702c0a8918aab821300bc","source":{"kind":"arxiv","id":"1904.07843","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.07843","created_at":"2026-05-17T23:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.07843v1","created_at":"2026-05-17T23:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.07843","created_at":"2026-05-17T23:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"EVNBPFKNXHR6","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"EVNBPFKNXHR6F42N","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"EVNBPFKN","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:EVNBPFKNXHR6F42NH5OHLLZ6MM","target":"record","payload":{"canonical_record":{"source":{"id":"1904.07843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-16T17:48:14Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d4b03e090c091bdef609d6e2410462306a33c0ac9b01843ead4b8af3673d1f65","abstract_canon_sha256":"cd759c8a485ca2c9c9d4cdd6082a25aed9ce92a7cc3b41ece125734f48c22051"},"schema_version":"1.0"},"canonical_sha256":"255a17954db9e3e2f34d3f5c75af3e632024bfda672702c0a8918aab821300bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:24.077467Z","signature_b64":"NwDyg358lgvH7DyuuxE5ykcrPFStnUZaii0wajIG1wP4vyPHGbi0m6znDT3Kn071dOsj+oMP1+55e9p8CKyuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"255a17954db9e3e2f34d3f5c75af3e632024bfda672702c0a8918aab821300bc","last_reissued_at":"2026-05-17T23:48:24.076854Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:24.076854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.07843","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":"2026-05-17T23:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3QbCS/s753/56fv1uHK6TbIxzTPb2n5bweH9qvN+skyZXwCg/85HMQ6/IQFlxLuyyafmNkq9K9dg/PU5ajIIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:19:17.831106Z"},"content_sha256":"5c5605ddd0a4294fc39168acf73dd1499b05777af9386f0c44a4ae46c00c6d94","schema_version":"1.0","event_id":"sha256:5c5605ddd0a4294fc39168acf73dd1499b05777af9386f0c44a4ae46c00c6d94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:EVNBPFKNXHR6F42NH5OHLLZ6MM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hybrid deformed algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andre A. Marinho, Francisco A. Brito","submitted_at":"2019-04-16T17:48:14Z","abstract_excerpt":"By considering $p,q$-deformed and $\\mu$-deformed algebras we propose an association of them to form a hybrid deformed algebra. The increased number of available parameters can provide us with a richer tool to investigate new scenarios within hybrid deformed statistics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.07843","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":"2026-05-17T23:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h0ASAWCP4WouCo6C8KHsbOG2G/z45Pa+UFTIYZgHHipWfiF822noxVqASisvjUmT8YvF0nV2ITEmsyBUX2xuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:19:17.831467Z"},"content_sha256":"f9a3a312e2c56fa4a2dec5373ae70f4244e44a09f94292fa2c83c285c33197bf","schema_version":"1.0","event_id":"sha256:f9a3a312e2c56fa4a2dec5373ae70f4244e44a09f94292fa2c83c285c33197bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM/bundle.json","state_url":"https://pith.science/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM/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":"2026-06-03T23:19:17Z","links":{"resolver":"https://pith.science/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM","bundle":"https://pith.science/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM/bundle.json","state":"https://pith.science/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EVNBPFKNXHR6F42NH5OHLLZ6MM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EVNBPFKNXHR6F42NH5OHLLZ6MM","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":"cd759c8a485ca2c9c9d4cdd6082a25aed9ce92a7cc3b41ece125734f48c22051","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-16T17:48:14Z","title_canon_sha256":"d4b03e090c091bdef609d6e2410462306a33c0ac9b01843ead4b8af3673d1f65"},"schema_version":"1.0","source":{"id":"1904.07843","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.07843","created_at":"2026-05-17T23:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.07843v1","created_at":"2026-05-17T23:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.07843","created_at":"2026-05-17T23:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"EVNBPFKNXHR6","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"EVNBPFKNXHR6F42N","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"EVNBPFKN","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:f9a3a312e2c56fa4a2dec5373ae70f4244e44a09f94292fa2c83c285c33197bf","target":"graph","created_at":"2026-05-17T23:48:24Z","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":"By considering $p,q$-deformed and $\\mu$-deformed algebras we propose an association of them to form a hybrid deformed algebra. The increased number of available parameters can provide us with a richer tool to investigate new scenarios within hybrid deformed statistics.","authors_text":"Andre A. Marinho, Francisco A. Brito","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-16T17:48:14Z","title":"Hybrid deformed algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.07843","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":"sha256:5c5605ddd0a4294fc39168acf73dd1499b05777af9386f0c44a4ae46c00c6d94","target":"record","created_at":"2026-05-17T23:48:24Z","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":"cd759c8a485ca2c9c9d4cdd6082a25aed9ce92a7cc3b41ece125734f48c22051","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-04-16T17:48:14Z","title_canon_sha256":"d4b03e090c091bdef609d6e2410462306a33c0ac9b01843ead4b8af3673d1f65"},"schema_version":"1.0","source":{"id":"1904.07843","kind":"arxiv","version":1}},"canonical_sha256":"255a17954db9e3e2f34d3f5c75af3e632024bfda672702c0a8918aab821300bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"255a17954db9e3e2f34d3f5c75af3e632024bfda672702c0a8918aab821300bc","first_computed_at":"2026-05-17T23:48:24.076854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:24.076854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NwDyg358lgvH7DyuuxE5ykcrPFStnUZaii0wajIG1wP4vyPHGbi0m6znDT3Kn071dOsj+oMP1+55e9p8CKyuDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:24.077467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.07843","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c5605ddd0a4294fc39168acf73dd1499b05777af9386f0c44a4ae46c00c6d94","sha256:f9a3a312e2c56fa4a2dec5373ae70f4244e44a09f94292fa2c83c285c33197bf"],"state_sha256":"9d2aebe005a144f888bb470d17d9e82f3f9b0b5b83f158139512bce5566ea03f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jHykxY7NAB1eTrtgVIoJm9uA6pynSGMbhImk6pqlow8ONQA8Hro/n0jsztaJ27FmKGm4HrKpCY4ZR2Bi3gjZAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T23:19:17.833441Z","bundle_sha256":"fb2912910aecb42dddbbdcfaee490498c6ad40321ea17c5693f49c141ad2e023"}}