{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6GS5J4KBES47MGPYMX7CRHX3AW","short_pith_number":"pith:6GS5J4KB","canonical_record":{"source":{"id":"1908.01696","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T15:41:54Z","cross_cats_sorted":["cs.IT","math.IT","math.MP"],"title_canon_sha256":"4716e32e98641804a389856114d31dc5f7b56a0cc20d764fb68a779f42015264","abstract_canon_sha256":"41650744c482ee16afb55ebc96d456e14163dc22a27f35f68b3e9b72029d1c7a"},"schema_version":"1.0"},"canonical_sha256":"f1a5d4f14124b9f619f865fe289efb059fac40be2b87c085fa76d72e87cc17d9","source":{"kind":"arxiv","id":"1908.01696","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01696","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01696v3","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01696","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"pith_short_12","alias_value":"6GS5J4KBES47","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"pith_short_16","alias_value":"6GS5J4KBES47MGPY","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"pith_short_8","alias_value":"6GS5J4KB","created_at":"2026-07-05T08:13:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6GS5J4KBES47MGPYMX7CRHX3AW","target":"record","payload":{"canonical_record":{"source":{"id":"1908.01696","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T15:41:54Z","cross_cats_sorted":["cs.IT","math.IT","math.MP"],"title_canon_sha256":"4716e32e98641804a389856114d31dc5f7b56a0cc20d764fb68a779f42015264","abstract_canon_sha256":"41650744c482ee16afb55ebc96d456e14163dc22a27f35f68b3e9b72029d1c7a"},"schema_version":"1.0"},"canonical_sha256":"f1a5d4f14124b9f619f865fe289efb059fac40be2b87c085fa76d72e87cc17d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:13:56.583390Z","signature_b64":"H8l/zHgiP1RTmakAeRoeiO80qNensVl69yHKtLs31fjbbwx03MK77qiUJ71A1EwKezE26hIzfyx2tOG/JEKcBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1a5d4f14124b9f619f865fe289efb059fac40be2b87c085fa76d72e87cc17d9","last_reissued_at":"2026-07-05T08:13:56.582955Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:13:56.582955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.01696","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:13:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NS/TU0/ztB6IF/y57sLKnt4Zv1kikjK5nZHloGJiHDE0i2ANkfx8vc3URAtT6YAOpP7jAhWWTbzNy0l1GhUPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T09:03:36.283662Z"},"content_sha256":"e5e6c108c30f99953c43eb7661c5537ab2cf6fd0dd2231f7b8e721d17190bd06","schema_version":"1.0","event_id":"sha256:e5e6c108c30f99953c43eb7661c5537ab2cf6fd0dd2231f7b8e721d17190bd06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6GS5J4KBES47MGPYMX7CRHX3AW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A two-parameter entropy and its fundamental properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","math.MP"],"primary_cat":"math-ph","authors_text":"Partha Guha, Shigeru Furuichi, Supriyo Dutta","submitted_at":"2019-08-05T15:41:54Z","abstract_excerpt":"This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics of the new generalized entropy and compare them with the properties of the Tsallis and the Shannon ent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01696","kind":"arxiv","version":3},"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/1908.01696/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":"2026-07-05T08:13:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7tqZ1PU/wv6bmpscFAjNvwq8/lQv1Dxzr8ANQ2oN6hlBbIJr9DOf4jBKPHW3CqdIt/GqmtPZ/A+e/2wW30wAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T09:03:36.289266Z"},"content_sha256":"1d0ea15d42e227cd7baa8a21ea56167c5f074ba749fdd3818c8fe4a83c657a61","schema_version":"1.0","event_id":"sha256:1d0ea15d42e227cd7baa8a21ea56167c5f074ba749fdd3818c8fe4a83c657a61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6GS5J4KBES47MGPYMX7CRHX3AW/bundle.json","state_url":"https://pith.science/pith/6GS5J4KBES47MGPYMX7CRHX3AW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6GS5J4KBES47MGPYMX7CRHX3AW/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":"2026-08-16T09:03:36Z","links":{"resolver":"https://pith.science/pith/6GS5J4KBES47MGPYMX7CRHX3AW","bundle":"https://pith.science/pith/6GS5J4KBES47MGPYMX7CRHX3AW/bundle.json","state":"https://pith.science/pith/6GS5J4KBES47MGPYMX7CRHX3AW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6GS5J4KBES47MGPYMX7CRHX3AW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6GS5J4KBES47MGPYMX7CRHX3AW","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":"41650744c482ee16afb55ebc96d456e14163dc22a27f35f68b3e9b72029d1c7a","cross_cats_sorted":["cs.IT","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T15:41:54Z","title_canon_sha256":"4716e32e98641804a389856114d31dc5f7b56a0cc20d764fb68a779f42015264"},"schema_version":"1.0","source":{"id":"1908.01696","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.01696","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"arxiv_version","alias_value":"1908.01696v3","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01696","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"pith_short_12","alias_value":"6GS5J4KBES47","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"pith_short_16","alias_value":"6GS5J4KBES47MGPY","created_at":"2026-07-05T08:13:56Z"},{"alias_kind":"pith_short_8","alias_value":"6GS5J4KB","created_at":"2026-07-05T08:13:56Z"}],"graph_snapshots":[{"event_id":"sha256:1d0ea15d42e227cd7baa8a21ea56167c5f074ba749fdd3818c8fe4a83c657a61","target":"graph","created_at":"2026-07-05T08:13:56Z","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/1908.01696/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics of the new generalized entropy and compare them with the properties of the Tsallis and the Shannon ent","authors_text":"Partha Guha, Shigeru Furuichi, Supriyo Dutta","cross_cats":["cs.IT","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T15:41:54Z","title":"A two-parameter entropy and its fundamental properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01696","kind":"arxiv","version":3},"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:e5e6c108c30f99953c43eb7661c5537ab2cf6fd0dd2231f7b8e721d17190bd06","target":"record","created_at":"2026-07-05T08:13:56Z","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":"41650744c482ee16afb55ebc96d456e14163dc22a27f35f68b3e9b72029d1c7a","cross_cats_sorted":["cs.IT","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-08-05T15:41:54Z","title_canon_sha256":"4716e32e98641804a389856114d31dc5f7b56a0cc20d764fb68a779f42015264"},"schema_version":"1.0","source":{"id":"1908.01696","kind":"arxiv","version":3}},"canonical_sha256":"f1a5d4f14124b9f619f865fe289efb059fac40be2b87c085fa76d72e87cc17d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1a5d4f14124b9f619f865fe289efb059fac40be2b87c085fa76d72e87cc17d9","first_computed_at":"2026-07-05T08:13:56.582955Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:13:56.582955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H8l/zHgiP1RTmakAeRoeiO80qNensVl69yHKtLs31fjbbwx03MK77qiUJ71A1EwKezE26hIzfyx2tOG/JEKcBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:13:56.583390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.01696","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5e6c108c30f99953c43eb7661c5537ab2cf6fd0dd2231f7b8e721d17190bd06","sha256:1d0ea15d42e227cd7baa8a21ea56167c5f074ba749fdd3818c8fe4a83c657a61"],"state_sha256":"fc3bb1bdf443a5eea877b05a8d6f86a3ad90e3bc76bedf13cf1a751858e71c9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CFK38/dhToUwSUnUeLtGErZSlf0dJoSrCnHad/vdtctgvsWsPQVAHxDlUbhIyhqCrGLdcYEMPu5eYL4RMi4VBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T09:03:36.299325Z","bundle_sha256":"ea9c7cb62ba38a005bd77f8c8b3a027a61d9bad98751d9ffc9d532a4ae6e3553"}}