{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:J5GQSGTVH2TME4UDIP7LOPLWGE","short_pith_number":"pith:J5GQSGTV","canonical_record":{"source":{"id":"cond-mat/0410271","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-10-12T05:11:21Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"9028bf4b376994c9d615918db92004bf5172dabf7ac1527052ef3fb7561e832b","abstract_canon_sha256":"c3c2719e07cfb36a51cebd809790f0d981a46ea1f62e8a0b130373e17919e0c1"},"schema_version":"1.0"},"canonical_sha256":"4f4d091a753ea6c2728343feb73d76311cc46650ef924bb895885e16f2bc6894","source":{"kind":"arxiv","id":"cond-mat/0410271","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0410271","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0410271v2","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0410271","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"pith_short_12","alias_value":"J5GQSGTVH2TM","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"J5GQSGTVH2TME4UD","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"J5GQSGTV","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:J5GQSGTVH2TME4UDIP7LOPLWGE","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0410271","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-10-12T05:11:21Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"9028bf4b376994c9d615918db92004bf5172dabf7ac1527052ef3fb7561e832b","abstract_canon_sha256":"c3c2719e07cfb36a51cebd809790f0d981a46ea1f62e8a0b130373e17919e0c1"},"schema_version":"1.0"},"canonical_sha256":"4f4d091a753ea6c2728343feb73d76311cc46650ef924bb895885e16f2bc6894","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:22.398200Z","signature_b64":"/g9l0Fhl0UE9e9Q7OdxsVWzy0fEyK1i4erzWzs1+BqtCr+ocmB53zY5a/SJbi3B334O6Iug2Gm9worqC/ODrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4d091a753ea6c2728343feb73d76311cc46650ef924bb895885e16f2bc6894","last_reissued_at":"2026-05-18T04:32:22.397451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:22.397451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0410271","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ykt/28G+kx+FZwHuDew+Nb+Sp7ZDC66tKJJfjADys5eDAXANYXfbRRWevLwh1pOdfKU+aMN9EMZ94Iinpi7fBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:59:18.637986Z"},"content_sha256":"9ce6d8414b52f86b3c95bd3a3d7909939bc8d056385f057604d7905e4f88d6c1","schema_version":"1.0","event_id":"sha256:9ce6d8414b52f86b3c95bd3a3d7909939bc8d056385f057604d7905e4f88d6c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:J5GQSGTVH2TME4UDIP7LOPLWGE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalized Faddeev's axiom and the uniqueness theorem for Tsallis entropy","license":"","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cond-mat.stat-mech","authors_text":"Shigeru Furuichi","submitted_at":"2004-10-12T05:11:21Z","abstract_excerpt":"The uniequness theorem for the Tsallis entropy by introducing the generalized Faddeev's axiom is proven. Our result improves the recent result, the uniqueness theorem for Tsallis entropy by the generalized Shannon-Khinchin's axiom in \\cite{Suy}, in the sence that our axiom is simpler than his one, as similar that Faddeev's axiom is simpler than Shannon-Khinchin's one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0410271","kind":"arxiv","version":2},"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":"2026-05-18T04:32:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J1Ve49qk9nXWtfiydHCcZwnYLZgWDVUZgNj2/20n6posaGvEpzaD4VqIF+Mn4hhsbDrJA61C1VqzFYcYk9y1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:59:18.638348Z"},"content_sha256":"ee3cd98134dc49a5decf5a793b465664090c12afebde69ae18111779f5230822","schema_version":"1.0","event_id":"sha256:ee3cd98134dc49a5decf5a793b465664090c12afebde69ae18111779f5230822"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J5GQSGTVH2TME4UDIP7LOPLWGE/bundle.json","state_url":"https://pith.science/pith/J5GQSGTVH2TME4UDIP7LOPLWGE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J5GQSGTVH2TME4UDIP7LOPLWGE/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":"2026-06-23T03:59:18Z","links":{"resolver":"https://pith.science/pith/J5GQSGTVH2TME4UDIP7LOPLWGE","bundle":"https://pith.science/pith/J5GQSGTVH2TME4UDIP7LOPLWGE/bundle.json","state":"https://pith.science/pith/J5GQSGTVH2TME4UDIP7LOPLWGE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J5GQSGTVH2TME4UDIP7LOPLWGE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:J5GQSGTVH2TME4UDIP7LOPLWGE","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":"c3c2719e07cfb36a51cebd809790f0d981a46ea1f62e8a0b130373e17919e0c1","cross_cats_sorted":["cs.IT","math.IT"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-10-12T05:11:21Z","title_canon_sha256":"9028bf4b376994c9d615918db92004bf5172dabf7ac1527052ef3fb7561e832b"},"schema_version":"1.0","source":{"id":"cond-mat/0410271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0410271","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0410271v2","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0410271","created_at":"2026-05-18T04:32:22Z"},{"alias_kind":"pith_short_12","alias_value":"J5GQSGTVH2TM","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"J5GQSGTVH2TME4UD","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"J5GQSGTV","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:ee3cd98134dc49a5decf5a793b465664090c12afebde69ae18111779f5230822","target":"graph","created_at":"2026-05-18T04:32:22Z","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 uniequness theorem for the Tsallis entropy by introducing the generalized Faddeev's axiom is proven. Our result improves the recent result, the uniqueness theorem for Tsallis entropy by the generalized Shannon-Khinchin's axiom in \\cite{Suy}, in the sence that our axiom is simpler than his one, as similar that Faddeev's axiom is simpler than Shannon-Khinchin's one.","authors_text":"Shigeru Furuichi","cross_cats":["cs.IT","math.IT"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-10-12T05:11:21Z","title":"A generalized Faddeev's axiom and the uniqueness theorem for Tsallis entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0410271","kind":"arxiv","version":2},"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":"sha256:9ce6d8414b52f86b3c95bd3a3d7909939bc8d056385f057604d7905e4f88d6c1","target":"record","created_at":"2026-05-18T04:32:22Z","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":"c3c2719e07cfb36a51cebd809790f0d981a46ea1f62e8a0b130373e17919e0c1","cross_cats_sorted":["cs.IT","math.IT"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-10-12T05:11:21Z","title_canon_sha256":"9028bf4b376994c9d615918db92004bf5172dabf7ac1527052ef3fb7561e832b"},"schema_version":"1.0","source":{"id":"cond-mat/0410271","kind":"arxiv","version":2}},"canonical_sha256":"4f4d091a753ea6c2728343feb73d76311cc46650ef924bb895885e16f2bc6894","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f4d091a753ea6c2728343feb73d76311cc46650ef924bb895885e16f2bc6894","first_computed_at":"2026-05-18T04:32:22.397451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:22.397451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/g9l0Fhl0UE9e9Q7OdxsVWzy0fEyK1i4erzWzs1+BqtCr+ocmB53zY5a/SJbi3B334O6Iug2Gm9worqC/ODrDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:22.398200Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0410271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ce6d8414b52f86b3c95bd3a3d7909939bc8d056385f057604d7905e4f88d6c1","sha256:ee3cd98134dc49a5decf5a793b465664090c12afebde69ae18111779f5230822"],"state_sha256":"3744a9cc60498fd63abf5eb17cc547eacfcd0d783971c2ea73c51de272aafe44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbmANJMtuQXjZBEAHAhTOmdF5hv+4Grj7bK8opiv5fMN34waFGX3WjIwQKmfm0p1MOLrzKb98Ox0mWzIVHeJDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:59:18.640599Z","bundle_sha256":"65f9cecebc5819f2e8e674871b89985b91ac83f05ed8967749a058adf16b78b0"}}