{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5DVXGKRJA2GTKLF7NL3G3NJYUU","short_pith_number":"pith:5DVXGKRJ","canonical_record":{"source":{"id":"1309.4261","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-17T11:23:15Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","hep-th"],"title_canon_sha256":"19730f863520c57b931f7409e222bd9c359aadad435e3380695b75196be9b68b","abstract_canon_sha256":"2bcd8eea91a9678e0b6f8b45257a41f9301c70c30cffcc0c237050a9449eeeed"},"schema_version":"1.0"},"canonical_sha256":"e8eb732a29068d352cbf6af66db538a50e176f052723392f57ce25c4758489a3","source":{"kind":"arxiv","id":"1309.4261","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4261","created_at":"2026-05-18T03:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4261v1","created_at":"2026-05-18T03:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4261","created_at":"2026-05-18T03:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"5DVXGKRJA2GT","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5DVXGKRJA2GTKLF7","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5DVXGKRJ","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5DVXGKRJA2GTKLF7NL3G3NJYUU","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4261","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-17T11:23:15Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","hep-th"],"title_canon_sha256":"19730f863520c57b931f7409e222bd9c359aadad435e3380695b75196be9b68b","abstract_canon_sha256":"2bcd8eea91a9678e0b6f8b45257a41f9301c70c30cffcc0c237050a9449eeeed"},"schema_version":"1.0"},"canonical_sha256":"e8eb732a29068d352cbf6af66db538a50e176f052723392f57ce25c4758489a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:54.353759Z","signature_b64":"j8BFDkz0ABjoTO1IhhCaICN6acUT5zIzWfVoisgakO9dxUvzlaak2XTfy+9f1u573Pf4jlvCHYD2dvU5pF/WCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8eb732a29068d352cbf6af66db538a50e176f052723392f57ce25c4758489a3","last_reissued_at":"2026-05-18T03:06:54.353001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:54.353001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4261","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":"2026-05-18T03:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nmV4Gch1v7oAKIi8M8cYJkufIQXqRY7jB3aKSfcTk+e280cyHSYK98Pi1LZcrQm7eSbSIHaVK1IPGVtmholIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:57:10.131219Z"},"content_sha256":"dc4e1dc900be57f09823b9d1e90586eb3860cdf11e9433fe0096424ef96be696","schema_version":"1.0","event_id":"sha256:dc4e1dc900be57f09823b9d1e90586eb3860cdf11e9433fe0096424ef96be696"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5DVXGKRJA2GTKLF7NL3G3NJYUU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A q-parameter bound for particle spectra based on black hole thermodynamics with R\\'enyi-entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Tam\\'as S. Bir\\'o, Viktor G. Czinner","submitted_at":"2013-09-17T11:23:15Z","abstract_excerpt":"By regarding the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its formal logarithm, the R\\'enyi entropy, is considered. The resulting temperature - horizon-radius relation has the same form as the one obtained from a 3+1-dimensional black hole in anti-de Sitter space using the original entropy formula. In both cases the temperature has a minimum. A semi-classical estimate of the horizon radius at this minimum leads to a Bekenstein bound for the q-parameter in the R\\'enyi entropy of micro black holes, (q >= 1 + 2/pi^2), which is surprisingl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4261","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":"2026-05-18T03:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxlRumTYir1B7rHD7iBqND+ZK3zvslbqP8Fi50lmGpgWpDwGO6hXcccUFneA2NZi1BfMMT+vsLHYoE+qO3vXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:57:10.131923Z"},"content_sha256":"8b9550140603b3294c021a786a44c2125855bcbabf7f5b1fad7ef8233cd7bf2a","schema_version":"1.0","event_id":"sha256:8b9550140603b3294c021a786a44c2125855bcbabf7f5b1fad7ef8233cd7bf2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU/bundle.json","state_url":"https://pith.science/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU/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":"2026-05-30T13:57:10Z","links":{"resolver":"https://pith.science/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU","bundle":"https://pith.science/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU/bundle.json","state":"https://pith.science/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5DVXGKRJA2GTKLF7NL3G3NJYUU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5DVXGKRJA2GTKLF7NL3G3NJYUU","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":"2bcd8eea91a9678e0b6f8b45257a41f9301c70c30cffcc0c237050a9449eeeed","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-17T11:23:15Z","title_canon_sha256":"19730f863520c57b931f7409e222bd9c359aadad435e3380695b75196be9b68b"},"schema_version":"1.0","source":{"id":"1309.4261","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4261","created_at":"2026-05-18T03:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4261v1","created_at":"2026-05-18T03:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4261","created_at":"2026-05-18T03:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"5DVXGKRJA2GT","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5DVXGKRJA2GTKLF7","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5DVXGKRJ","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:8b9550140603b3294c021a786a44c2125855bcbabf7f5b1fad7ef8233cd7bf2a","target":"graph","created_at":"2026-05-18T03:06:54Z","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":"By regarding the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its formal logarithm, the R\\'enyi entropy, is considered. The resulting temperature - horizon-radius relation has the same form as the one obtained from a 3+1-dimensional black hole in anti-de Sitter space using the original entropy formula. In both cases the temperature has a minimum. A semi-classical estimate of the horizon radius at this minimum leads to a Bekenstein bound for the q-parameter in the R\\'enyi entropy of micro black holes, (q >= 1 + 2/pi^2), which is surprisingl","authors_text":"Tam\\'as S. Bir\\'o, Viktor G. Czinner","cross_cats":["cond-mat.stat-mech","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-17T11:23:15Z","title":"A q-parameter bound for particle spectra based on black hole thermodynamics with R\\'enyi-entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4261","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:dc4e1dc900be57f09823b9d1e90586eb3860cdf11e9433fe0096424ef96be696","target":"record","created_at":"2026-05-18T03:06:54Z","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":"2bcd8eea91a9678e0b6f8b45257a41f9301c70c30cffcc0c237050a9449eeeed","cross_cats_sorted":["cond-mat.stat-mech","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-17T11:23:15Z","title_canon_sha256":"19730f863520c57b931f7409e222bd9c359aadad435e3380695b75196be9b68b"},"schema_version":"1.0","source":{"id":"1309.4261","kind":"arxiv","version":1}},"canonical_sha256":"e8eb732a29068d352cbf6af66db538a50e176f052723392f57ce25c4758489a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8eb732a29068d352cbf6af66db538a50e176f052723392f57ce25c4758489a3","first_computed_at":"2026-05-18T03:06:54.353001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:54.353001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j8BFDkz0ABjoTO1IhhCaICN6acUT5zIzWfVoisgakO9dxUvzlaak2XTfy+9f1u573Pf4jlvCHYD2dvU5pF/WCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:54.353759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4261","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc4e1dc900be57f09823b9d1e90586eb3860cdf11e9433fe0096424ef96be696","sha256:8b9550140603b3294c021a786a44c2125855bcbabf7f5b1fad7ef8233cd7bf2a"],"state_sha256":"e305b352740a183c5f81e6fcd5f7babff2dd60d997814f97996c3f6bfc5912d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fjXBLUmWgbtiP+TwKEBx8E82Il2PQ9kgtAgRsWtk+Fd4Dom2mWahslukZvhEtZwfc8driBLIx+lwDXGg80jtCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:57:10.135917Z","bundle_sha256":"32921687f85bc0162850bde4a4318385e68fbaa18ec217d683755ff59884d177"}}