{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:6ZBM4FQKTCWUU5WUMSVNQL5OLS","short_pith_number":"pith:6ZBM4FQK","canonical_record":{"source":{"id":"1010.2699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2010-10-13T16:43:57Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"6a4ce52a42d7b480d65feb9b0d3345cc706e9e3e24d55ff0a5cbfa2eb1f89c7a","abstract_canon_sha256":"42fa120ef4e6cf439a8bc60eb9912d946b6cbfc1a8a30826c39d7b49208aa7a5"},"schema_version":"1.0"},"canonical_sha256":"f642ce160a98ad4a76d464aad82fae5cb3a5661d52e60dfb24c063917068ff43","source":{"kind":"arxiv","id":"1010.2699","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2699","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2699v1","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2699","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"pith_short_12","alias_value":"6ZBM4FQKTCWU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6ZBM4FQKTCWUU5WU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6ZBM4FQK","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:6ZBM4FQKTCWUU5WUMSVNQL5OLS","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2010-10-13T16:43:57Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"6a4ce52a42d7b480d65feb9b0d3345cc706e9e3e24d55ff0a5cbfa2eb1f89c7a","abstract_canon_sha256":"42fa120ef4e6cf439a8bc60eb9912d946b6cbfc1a8a30826c39d7b49208aa7a5"},"schema_version":"1.0"},"canonical_sha256":"f642ce160a98ad4a76d464aad82fae5cb3a5661d52e60dfb24c063917068ff43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:26.571677Z","signature_b64":"QG1F4o/8p5oHNQQp4xL9WJjkQGwnxvNqq9CUSTxzGxJC4DI1SDVTbIwaa4THHi6+xTBPnutooVh/M0S5Wr4HAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f642ce160a98ad4a76d464aad82fae5cb3a5661d52e60dfb24c063917068ff43","last_reissued_at":"2026-05-18T04:27:26.571265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:26.571265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2699","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":"2026-05-18T04:27:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JD4uR98xa/BkKrp1tVBRHZgtNddg6Q3SmP1oA7ko4SVeNeQ7nLR7D1IiOO+rDtOU2F+6L23uGljm+Il5yBskDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:15:44.643753Z"},"content_sha256":"856163c4004742b44dbb0ecb2c9cd627e4205bf12e16b49b1aa92b1df6687d92","schema_version":"1.0","event_id":"sha256:856163c4004742b44dbb0ecb2c9cd627e4205bf12e16b49b1aa92b1df6687d92"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:6ZBM4FQKTCWUU5WUMSVNQL5OLS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"First-Digit Law in Nonextensive Statistics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"physics.data-an","authors_text":"Bo-Qiang Ma, Lijing Shao","submitted_at":"2010-10-13T16:43:57Z","abstract_excerpt":"Nonextensive statistics, characterized by a nonextensive parameter $q$, is a promising and practically useful generalization of the Boltzmann statistics to describe power-law behaviors from physical and social observations. We here explore the unevenness of the first digit distribution of nonextensive statistics analytically and numerically. We find that the first-digit distribution follows Benford's law and fluctuates slightly in a periodical manner with respect to the logarithm of the temperature. The fluctuation decreases when $q$ increases, and the result converges to Benford's law exactly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2699","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":"2026-05-18T04:27:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vRxHVB+I2YWQsoea0e/V/XsA902YHpwp1R44hia4MCn5NmvFMy612HkQp95t2Rk+CY7UMRuJcqastLzKeAzjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:15:44.644107Z"},"content_sha256":"5b5987816615121303ab518c20f37edc73951a0e9efcd631f7c645a3b0c1c1a4","schema_version":"1.0","event_id":"sha256:5b5987816615121303ab518c20f37edc73951a0e9efcd631f7c645a3b0c1c1a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS/bundle.json","state_url":"https://pith.science/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS/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":"2026-05-30T14:15:44Z","links":{"resolver":"https://pith.science/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS","bundle":"https://pith.science/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS/bundle.json","state":"https://pith.science/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZBM4FQKTCWUU5WUMSVNQL5OLS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6ZBM4FQKTCWUU5WUMSVNQL5OLS","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":"42fa120ef4e6cf439a8bc60eb9912d946b6cbfc1a8a30826c39d7b49208aa7a5","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2010-10-13T16:43:57Z","title_canon_sha256":"6a4ce52a42d7b480d65feb9b0d3345cc706e9e3e24d55ff0a5cbfa2eb1f89c7a"},"schema_version":"1.0","source":{"id":"1010.2699","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2699","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2699v1","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2699","created_at":"2026-05-18T04:27:26Z"},{"alias_kind":"pith_short_12","alias_value":"6ZBM4FQKTCWU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6ZBM4FQKTCWUU5WU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6ZBM4FQK","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:5b5987816615121303ab518c20f37edc73951a0e9efcd631f7c645a3b0c1c1a4","target":"graph","created_at":"2026-05-18T04:27:26Z","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":"Nonextensive statistics, characterized by a nonextensive parameter $q$, is a promising and practically useful generalization of the Boltzmann statistics to describe power-law behaviors from physical and social observations. We here explore the unevenness of the first digit distribution of nonextensive statistics analytically and numerically. We find that the first-digit distribution follows Benford's law and fluctuates slightly in a periodical manner with respect to the logarithm of the temperature. The fluctuation decreases when $q$ increases, and the result converges to Benford's law exactly","authors_text":"Bo-Qiang Ma, Lijing Shao","cross_cats":["cond-mat.stat-mech","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2010-10-13T16:43:57Z","title":"First-Digit Law in Nonextensive Statistics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2699","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":"sha256:856163c4004742b44dbb0ecb2c9cd627e4205bf12e16b49b1aa92b1df6687d92","target":"record","created_at":"2026-05-18T04:27:26Z","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":"42fa120ef4e6cf439a8bc60eb9912d946b6cbfc1a8a30826c39d7b49208aa7a5","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2010-10-13T16:43:57Z","title_canon_sha256":"6a4ce52a42d7b480d65feb9b0d3345cc706e9e3e24d55ff0a5cbfa2eb1f89c7a"},"schema_version":"1.0","source":{"id":"1010.2699","kind":"arxiv","version":1}},"canonical_sha256":"f642ce160a98ad4a76d464aad82fae5cb3a5661d52e60dfb24c063917068ff43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f642ce160a98ad4a76d464aad82fae5cb3a5661d52e60dfb24c063917068ff43","first_computed_at":"2026-05-18T04:27:26.571265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:26.571265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QG1F4o/8p5oHNQQp4xL9WJjkQGwnxvNqq9CUSTxzGxJC4DI1SDVTbIwaa4THHi6+xTBPnutooVh/M0S5Wr4HAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:26.571677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2699","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:856163c4004742b44dbb0ecb2c9cd627e4205bf12e16b49b1aa92b1df6687d92","sha256:5b5987816615121303ab518c20f37edc73951a0e9efcd631f7c645a3b0c1c1a4"],"state_sha256":"b48fbb0d3b15818b9024492ae85c66aeacb394ab5ff213ac8fa6b31f5c68147e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cNqhUZnDdixIpgkp7sQNVBOu+WHGofJUA7kQrpMyGPDRmvi2UBL3Vl9TrGGLGEfAuLlJp5il5XQ+6HSQzRb+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:15:44.646072Z","bundle_sha256":"2c6aace08d11eecba26144f601de0f72756b6d69c75adaae5db0e9a3f02ab5ba"}}