{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OM4A3PLUB65NRDIDDAL26KFU7A","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":"6e78b17d0974e7c545fba45844ba3545729013ac8b3a0e7a14809e3a68f49953","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-13T14:33:28Z","title_canon_sha256":"1590f92ef38cb0a385ff8d575487ae0863c234d91c4d337185e4ba576835a7f3"},"schema_version":"1.0","source":{"id":"1301.2779","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2779","created_at":"2026-05-18T03:31:42Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2779v2","created_at":"2026-05-18T03:31:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2779","created_at":"2026-05-18T03:31:42Z"},{"alias_kind":"pith_short_12","alias_value":"OM4A3PLUB65N","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OM4A3PLUB65NRDID","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OM4A3PLU","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:2222faa48db5c5f7255feaa223aa1d15d3d801748207486b14ee30f0938db224","target":"graph","created_at":"2026-05-18T03:31:42Z","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":"A two parameter generalization of Boltzmann-Gibbs-Shannon entropy based on natural logarithm is introduced. The generalization of the Shannon-Kinchinn axioms corresponding to the two parameter entropy is proposed and verified. We present the relative entropy, Jensen-Shannon divergence measure and check their properties. The Fisher information measure, relative Fisher information and the Jensen-Fisher information corresponding to this entropy are also derived. The canonical distribution maximizing this entropy is derived and is found to be in terms of the Lambert's W function. Also the Lesche s","authors_text":"C. Ravikumar, J. Segar, R. Chandrashekar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-13T14:33:28Z","title":"A Fractional entropy in Fractal phase space: properties and characterization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2779","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":"sha256:3927a677fb6cd841b8ef5dcbf4a89d67431ab592b4860ab0dc51bb0cf1374de9","target":"record","created_at":"2026-05-18T03:31:42Z","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":"6e78b17d0974e7c545fba45844ba3545729013ac8b3a0e7a14809e3a68f49953","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-01-13T14:33:28Z","title_canon_sha256":"1590f92ef38cb0a385ff8d575487ae0863c234d91c4d337185e4ba576835a7f3"},"schema_version":"1.0","source":{"id":"1301.2779","kind":"arxiv","version":2}},"canonical_sha256":"73380dbd740fbad88d031817af28b4f8030d64f83ade37b1ed222e9b3763d9a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73380dbd740fbad88d031817af28b4f8030d64f83ade37b1ed222e9b3763d9a7","first_computed_at":"2026-05-18T03:31:42.960122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:42.960122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AMF5tywsVTjTBCcrb3DNVfZd9qN0c7ApsGFfTiDsFMxLOPW735aAYxvJWZJ0tPzwOmsO5Q+9SeipJhgwJj3GDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:42.960864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2779","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3927a677fb6cd841b8ef5dcbf4a89d67431ab592b4860ab0dc51bb0cf1374de9","sha256:2222faa48db5c5f7255feaa223aa1d15d3d801748207486b14ee30f0938db224"],"state_sha256":"686e82fae13b8ad24520c59e2e2e9e2b20badaa74357490108255ceb57ebc817"}