{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:FRTUIJ42ZPHKVLGWYTX7ZL2H6A","short_pith_number":"pith:FRTUIJ42","canonical_record":{"source":{"id":"0806.1660","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-10T13:39:35Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"f474e57b9361bcab1bacb287c73bfd81831caece0526e1a907b93b9a22155f28","abstract_canon_sha256":"ba77b701bc9f56b2008c82e195ad90ffc2c6df98d861462c81045cbdefec983d"},"schema_version":"1.0"},"canonical_sha256":"2c6744279acbceaaacd6c4effcaf47f035417d4e6595140d3a737d3719434dfd","source":{"kind":"arxiv","id":"0806.1660","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.1660","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"0806.1660v6","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.1660","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"FRTUIJ42ZPHK","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"FRTUIJ42ZPHKVLGW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"FRTUIJ42","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:FRTUIJ42ZPHKVLGWYTX7ZL2H6A","target":"record","payload":{"canonical_record":{"source":{"id":"0806.1660","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-10T13:39:35Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"f474e57b9361bcab1bacb287c73bfd81831caece0526e1a907b93b9a22155f28","abstract_canon_sha256":"ba77b701bc9f56b2008c82e195ad90ffc2c6df98d861462c81045cbdefec983d"},"schema_version":"1.0"},"canonical_sha256":"2c6744279acbceaaacd6c4effcaf47f035417d4e6595140d3a737d3719434dfd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:42.920364Z","signature_b64":"1dISyn7GE6bOZeCWi+AkcwsrhDumUQ3vF10eKaJwZpcqkaZm4zQ2W7GoNOtLYYgqxjLYibJXYJEBLS80jTrrBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c6744279acbceaaacd6c4effcaf47f035417d4e6595140d3a737d3719434dfd","last_reissued_at":"2026-05-18T03:24:42.919804Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:42.919804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.1660","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LG6sYwXoBDaEBa5j3gHcqx05hXPGKLmatPUfbUjIdV0fHm3eZkUjYcCVNMrWtIo2i1q0ZmI3ywoXZ3yToUI9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:59:30.704962Z"},"content_sha256":"a0f267bce2ac73d207016861ee2faf034313d35e2ed4cdb260c6cf07f48a9de3","schema_version":"1.0","event_id":"sha256:a0f267bce2ac73d207016861ee2faf034313d35e2ed4cdb260c6cf07f48a9de3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:FRTUIJ42ZPHKVLGWYTX7ZL2H6A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uncertainty relations in terms of Tsallis entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"quant-ph","authors_text":"Grzegorz Wilk, Zbigniew Wlodarczyk","submitted_at":"2008-06-10T13:39:35Z","abstract_excerpt":"Uncertainty relations emerging from the Tsallis entropy are derived and discussed. In particular we found a positively defined function that saturates the so called entropic inequalities for entropies characterizing the physical states under consideration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.1660","kind":"arxiv","version":6},"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":"2026-05-18T03:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4vb5WFc0lRZPDf+aBNAyEU0E2sSDti40w1MrvhDV7UcDSI12I9eb3kd4Whnb4WNPBuzMHJlt+cgoA7d2afflBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:59:30.705643Z"},"content_sha256":"cee710c416ba24c0c8b9536ba710e6eec41e510c7bc06d95cdea81f722e769fe","schema_version":"1.0","event_id":"sha256:cee710c416ba24c0c8b9536ba710e6eec41e510c7bc06d95cdea81f722e769fe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A/bundle.json","state_url":"https://pith.science/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A/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":"2026-06-09T08:59:30Z","links":{"resolver":"https://pith.science/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A","bundle":"https://pith.science/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A/bundle.json","state":"https://pith.science/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRTUIJ42ZPHKVLGWYTX7ZL2H6A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:FRTUIJ42ZPHKVLGWYTX7ZL2H6A","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":"ba77b701bc9f56b2008c82e195ad90ffc2c6df98d861462c81045cbdefec983d","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-10T13:39:35Z","title_canon_sha256":"f474e57b9361bcab1bacb287c73bfd81831caece0526e1a907b93b9a22155f28"},"schema_version":"1.0","source":{"id":"0806.1660","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.1660","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"0806.1660v6","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.1660","created_at":"2026-05-18T03:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"FRTUIJ42ZPHK","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"FRTUIJ42ZPHKVLGW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"FRTUIJ42","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:cee710c416ba24c0c8b9536ba710e6eec41e510c7bc06d95cdea81f722e769fe","target":"graph","created_at":"2026-05-18T03:24:42Z","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":"Uncertainty relations emerging from the Tsallis entropy are derived and discussed. In particular we found a positively defined function that saturates the so called entropic inequalities for entropies characterizing the physical states under consideration.","authors_text":"Grzegorz Wilk, Zbigniew Wlodarczyk","cross_cats":["cond-mat.stat-mech","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-10T13:39:35Z","title":"Uncertainty relations in terms of Tsallis entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.1660","kind":"arxiv","version":6},"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:a0f267bce2ac73d207016861ee2faf034313d35e2ed4cdb260c6cf07f48a9de3","target":"record","created_at":"2026-05-18T03:24:42Z","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":"ba77b701bc9f56b2008c82e195ad90ffc2c6df98d861462c81045cbdefec983d","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-06-10T13:39:35Z","title_canon_sha256":"f474e57b9361bcab1bacb287c73bfd81831caece0526e1a907b93b9a22155f28"},"schema_version":"1.0","source":{"id":"0806.1660","kind":"arxiv","version":6}},"canonical_sha256":"2c6744279acbceaaacd6c4effcaf47f035417d4e6595140d3a737d3719434dfd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c6744279acbceaaacd6c4effcaf47f035417d4e6595140d3a737d3719434dfd","first_computed_at":"2026-05-18T03:24:42.919804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:42.919804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1dISyn7GE6bOZeCWi+AkcwsrhDumUQ3vF10eKaJwZpcqkaZm4zQ2W7GoNOtLYYgqxjLYibJXYJEBLS80jTrrBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:42.920364Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.1660","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0f267bce2ac73d207016861ee2faf034313d35e2ed4cdb260c6cf07f48a9de3","sha256:cee710c416ba24c0c8b9536ba710e6eec41e510c7bc06d95cdea81f722e769fe"],"state_sha256":"32b8bf19a9cfed76ad21777b5dfa6651196660d56564cf7b080fc24a33357b10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZrI/0X/GGQX1ybreSKrBDPNLQK+hJ04fTJmqAh4Cvb/1iRzf+70LI9h2/NkSVd30eR+3Fx8ll+7YP9HiUoaiBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:59:30.709943Z","bundle_sha256":"73a600a55d88a821773370d928f4c74d4dfd8a15e50a8bf5d4c4c977b8ca9646"}}