{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:UBYRPX3LJDH27A5QWFXYXSJUCE","short_pith_number":"pith:UBYRPX3L","canonical_record":{"source":{"id":"astro-ph/0602098","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-02-05T15:32:54Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ae9f291a94cc0e1e30399d542e5f74d80d825caa8037220f783d2db6972c9eb5","abstract_canon_sha256":"836024118586ceb51f1247a9d855b7ba30edbff7ec6302a2dea590958ecd9b24"},"schema_version":"1.0"},"canonical_sha256":"a07117df6b48cfaf83b0b16f8bc9341104766860177502998214a0f577b5a367","source":{"kind":"arxiv","id":"astro-ph/0602098","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0602098","created_at":"2026-05-18T01:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0602098v2","created_at":"2026-05-18T01:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0602098","created_at":"2026-05-18T01:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"UBYRPX3LJDH2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"UBYRPX3LJDH27A5Q","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"UBYRPX3L","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:UBYRPX3LJDH27A5QWFXYXSJUCE","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0602098","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-02-05T15:32:54Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ae9f291a94cc0e1e30399d542e5f74d80d825caa8037220f783d2db6972c9eb5","abstract_canon_sha256":"836024118586ceb51f1247a9d855b7ba30edbff7ec6302a2dea590958ecd9b24"},"schema_version":"1.0"},"canonical_sha256":"a07117df6b48cfaf83b0b16f8bc9341104766860177502998214a0f577b5a367","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:38.659661Z","signature_b64":"Wkbj4j6dsj8/rus7FXz7XhlC+VH4nWexN5Mf4h9jWmTeG0Epgws6GXYnll146WqHZvd6cG7LAUDbCrssPeWWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a07117df6b48cfaf83b0b16f8bc9341104766860177502998214a0f577b5a367","last_reissued_at":"2026-05-18T01:35:38.659029Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:38.659029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0602098","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":"2026-05-18T01:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMwIq52JqM+5keSLV18B5XXVxDVSkmQt79kTrv7p2ppiRJyAsZLTm6vgx/qkj5SrM2YwHOeoSz8eWbSvGP3xAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:29:32.537982Z"},"content_sha256":"2edd7120e0747437a555d2707d520c5df39c743f1cb4026927068268e999bc62","schema_version":"1.0","event_id":"sha256:2edd7120e0747437a555d2707d520c5df39c743f1cb4026927068268e999bc62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:UBYRPX3LJDH27A5QWFXYXSJUCE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Chandrasekhar condition of the equilibrium and stability for a star in the nonextensive kinetic theory","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"astro-ph","authors_text":"Jiulin Du","submitted_at":"2006-02-05T15:32:54Z","abstract_excerpt":"The idea of Chandrasekhar condition of the equilibrium and stability for a star is revisited in the nonextensive kinetic theory based on Tsallis entropy. A new analytical formula generalizing the Chandrasekhar condition is derived by assuming that the stellar matter is kinetically described by the generalized Maxwell-Boltzmann distribution in Tsallis statistics. It is found that the maximum radiation pressure allowed at the center of a star of a given mass is dependent on the nonextensive parameter q. The Chandrasekhar condition in the Maxwellian sense is recovered from the new condition in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0602098","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":"2026-05-18T01:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KqvxfT1lQ1/MdSX+Zc0TjF5UnGq68/oaea/3WVZ+2I1TviEOdtXaFNHz+8/fnjjsfwOPrq2ah2VtTFb/B1gkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:29:32.538350Z"},"content_sha256":"7b08a03109d27cd55c49e5e86f27306b2a9d1d0739c07443966e89e6c3bcc0b6","schema_version":"1.0","event_id":"sha256:7b08a03109d27cd55c49e5e86f27306b2a9d1d0739c07443966e89e6c3bcc0b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBYRPX3LJDH27A5QWFXYXSJUCE/bundle.json","state_url":"https://pith.science/pith/UBYRPX3LJDH27A5QWFXYXSJUCE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBYRPX3LJDH27A5QWFXYXSJUCE/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":"2026-06-22T11:29:32Z","links":{"resolver":"https://pith.science/pith/UBYRPX3LJDH27A5QWFXYXSJUCE","bundle":"https://pith.science/pith/UBYRPX3LJDH27A5QWFXYXSJUCE/bundle.json","state":"https://pith.science/pith/UBYRPX3LJDH27A5QWFXYXSJUCE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBYRPX3LJDH27A5QWFXYXSJUCE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:UBYRPX3LJDH27A5QWFXYXSJUCE","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":"836024118586ceb51f1247a9d855b7ba30edbff7ec6302a2dea590958ecd9b24","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"astro-ph","submitted_at":"2006-02-05T15:32:54Z","title_canon_sha256":"ae9f291a94cc0e1e30399d542e5f74d80d825caa8037220f783d2db6972c9eb5"},"schema_version":"1.0","source":{"id":"astro-ph/0602098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0602098","created_at":"2026-05-18T01:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0602098v2","created_at":"2026-05-18T01:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0602098","created_at":"2026-05-18T01:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"UBYRPX3LJDH2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"UBYRPX3LJDH27A5Q","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"UBYRPX3L","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:7b08a03109d27cd55c49e5e86f27306b2a9d1d0739c07443966e89e6c3bcc0b6","target":"graph","created_at":"2026-05-18T01:35:38Z","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 idea of Chandrasekhar condition of the equilibrium and stability for a star is revisited in the nonextensive kinetic theory based on Tsallis entropy. A new analytical formula generalizing the Chandrasekhar condition is derived by assuming that the stellar matter is kinetically described by the generalized Maxwell-Boltzmann distribution in Tsallis statistics. It is found that the maximum radiation pressure allowed at the center of a star of a given mass is dependent on the nonextensive parameter q. The Chandrasekhar condition in the Maxwellian sense is recovered from the new condition in th","authors_text":"Jiulin Du","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-02-05T15:32:54Z","title":"The Chandrasekhar condition of the equilibrium and stability for a star in the nonextensive kinetic theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0602098","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":"sha256:2edd7120e0747437a555d2707d520c5df39c743f1cb4026927068268e999bc62","target":"record","created_at":"2026-05-18T01:35:38Z","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":"836024118586ceb51f1247a9d855b7ba30edbff7ec6302a2dea590958ecd9b24","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"astro-ph","submitted_at":"2006-02-05T15:32:54Z","title_canon_sha256":"ae9f291a94cc0e1e30399d542e5f74d80d825caa8037220f783d2db6972c9eb5"},"schema_version":"1.0","source":{"id":"astro-ph/0602098","kind":"arxiv","version":2}},"canonical_sha256":"a07117df6b48cfaf83b0b16f8bc9341104766860177502998214a0f577b5a367","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a07117df6b48cfaf83b0b16f8bc9341104766860177502998214a0f577b5a367","first_computed_at":"2026-05-18T01:35:38.659029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:38.659029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wkbj4j6dsj8/rus7FXz7XhlC+VH4nWexN5Mf4h9jWmTeG0Epgws6GXYnll146WqHZvd6cG7LAUDbCrssPeWWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:38.659661Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0602098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2edd7120e0747437a555d2707d520c5df39c743f1cb4026927068268e999bc62","sha256:7b08a03109d27cd55c49e5e86f27306b2a9d1d0739c07443966e89e6c3bcc0b6"],"state_sha256":"9b4924c6a256bd6c3ee7ee0f4db79feedee7a6690cccdd82badf82a6a484546a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NK1mAvWYdRQ54qsajPr0xI2mhn5pZ6TZAXwA+v+I49JsbAylbIhQccFi0ehWwwEfb/m0eQC1aou3wW/CJFTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T11:29:32.540355Z","bundle_sha256":"05c142fa8bf0a69b89c1bba87903c920a8cccab5258fbd70907316946178b344"}}