{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IW534BRYX27EVMJHUUUIVYGSBB","short_pith_number":"pith:IW534BRY","canonical_record":{"source":{"id":"1511.06183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-11-06T16:53:03Z","cross_cats_sorted":[],"title_canon_sha256":"4fcb1f0bd319bcb7745e776c2f5423c69321396c84a2b3c4dc566040e2a96728","abstract_canon_sha256":"7de1d68722ed42765e8f91a3ba80fa6cb3e8d0e729769c6fa98984237604b8f4"},"schema_version":"1.0"},"canonical_sha256":"45bbbe0638bebe4ab127a5288ae0d20877c44ce18fb815c8a69aedac422e887c","source":{"kind":"arxiv","id":"1511.06183","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.06183","created_at":"2026-05-18T01:09:42Z"},{"alias_kind":"arxiv_version","alias_value":"1511.06183v2","created_at":"2026-05-18T01:09:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.06183","created_at":"2026-05-18T01:09:42Z"},{"alias_kind":"pith_short_12","alias_value":"IW534BRYX27E","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"IW534BRYX27EVMJH","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"IW534BRY","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IW534BRYX27EVMJHUUUIVYGSBB","target":"record","payload":{"canonical_record":{"source":{"id":"1511.06183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-11-06T16:53:03Z","cross_cats_sorted":[],"title_canon_sha256":"4fcb1f0bd319bcb7745e776c2f5423c69321396c84a2b3c4dc566040e2a96728","abstract_canon_sha256":"7de1d68722ed42765e8f91a3ba80fa6cb3e8d0e729769c6fa98984237604b8f4"},"schema_version":"1.0"},"canonical_sha256":"45bbbe0638bebe4ab127a5288ae0d20877c44ce18fb815c8a69aedac422e887c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:42.034453Z","signature_b64":"sDPwV3anHufatlFM+B4uxbmXnxGJ1c0uVS9KecppkD73PXBFQ/QNvmrGHHoaasoSqIVAD74MJJ/cpFJln+KpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45bbbe0638bebe4ab127a5288ae0d20877c44ce18fb815c8a69aedac422e887c","last_reissued_at":"2026-05-18T01:09:42.034065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:42.034065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.06183","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":"2026-05-18T01:09:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MNn/DTexs/N7ERSLRBbi1mdDnLgzYPAzQs8jd3RvfNS8l0aLLtVJLzChWTpoPcmfSmzduh+5t6krv61YFe7hDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:28:19.979837Z"},"content_sha256":"eb37c87a120d3ac81433ec063c5e84ebc42d90b7bc46a60976859e05adaabb1c","schema_version":"1.0","event_id":"sha256:eb37c87a120d3ac81433ec063c5e84ebc42d90b7bc46a60976859e05adaabb1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IW534BRYX27EVMJHUUUIVYGSBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Gravity Corrections in Chandrasekhar Limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Mohamed Moussa","submitted_at":"2015-11-06T16:53:03Z","abstract_excerpt":"It is agreed that Chandrasekhar mass and central density of white dwarfs are independent, which means that there is a whole series of stars having radius and central density as parameters that all have the same Chandrasekhar mass. In this article the influence of a quantum gravity is shown so the Chandrasekhar limits (mass and radius) depend explicitly on the central density and gravity parameters. A new polytropic relation between degenerate pressure of the star and its density is investigated. This leads to a modification in Lane-Emden equation and mass and radius formulas of the star. A mod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06183","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":"2026-05-18T01:09:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lPNQxDrDl8SRhAPXpGcpQy65YwpSE/6rguXxof9NuypKoNwp9ejEIA6U738ejuxsj2hDr47J362k+OIEiP1+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T07:28:19.980180Z"},"content_sha256":"5137ec41f7398b0e130bf8c22d4e526dbb5a18ebe3a027ca2bed56755194d09d","schema_version":"1.0","event_id":"sha256:5137ec41f7398b0e130bf8c22d4e526dbb5a18ebe3a027ca2bed56755194d09d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IW534BRYX27EVMJHUUUIVYGSBB/bundle.json","state_url":"https://pith.science/pith/IW534BRYX27EVMJHUUUIVYGSBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IW534BRYX27EVMJHUUUIVYGSBB/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":"2026-07-02T07:28:19Z","links":{"resolver":"https://pith.science/pith/IW534BRYX27EVMJHUUUIVYGSBB","bundle":"https://pith.science/pith/IW534BRYX27EVMJHUUUIVYGSBB/bundle.json","state":"https://pith.science/pith/IW534BRYX27EVMJHUUUIVYGSBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IW534BRYX27EVMJHUUUIVYGSBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IW534BRYX27EVMJHUUUIVYGSBB","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":"7de1d68722ed42765e8f91a3ba80fa6cb3e8d0e729769c6fa98984237604b8f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-11-06T16:53:03Z","title_canon_sha256":"4fcb1f0bd319bcb7745e776c2f5423c69321396c84a2b3c4dc566040e2a96728"},"schema_version":"1.0","source":{"id":"1511.06183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.06183","created_at":"2026-05-18T01:09:42Z"},{"alias_kind":"arxiv_version","alias_value":"1511.06183v2","created_at":"2026-05-18T01:09:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.06183","created_at":"2026-05-18T01:09:42Z"},{"alias_kind":"pith_short_12","alias_value":"IW534BRYX27E","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"IW534BRYX27EVMJH","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"IW534BRY","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:5137ec41f7398b0e130bf8c22d4e526dbb5a18ebe3a027ca2bed56755194d09d","target":"graph","created_at":"2026-05-18T01:09:42Z","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":"It is agreed that Chandrasekhar mass and central density of white dwarfs are independent, which means that there is a whole series of stars having radius and central density as parameters that all have the same Chandrasekhar mass. In this article the influence of a quantum gravity is shown so the Chandrasekhar limits (mass and radius) depend explicitly on the central density and gravity parameters. A new polytropic relation between degenerate pressure of the star and its density is investigated. This leads to a modification in Lane-Emden equation and mass and radius formulas of the star. A mod","authors_text":"Mohamed Moussa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-11-06T16:53:03Z","title":"Quantum Gravity Corrections in Chandrasekhar Limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06183","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:eb37c87a120d3ac81433ec063c5e84ebc42d90b7bc46a60976859e05adaabb1c","target":"record","created_at":"2026-05-18T01:09:42Z","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":"7de1d68722ed42765e8f91a3ba80fa6cb3e8d0e729769c6fa98984237604b8f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2015-11-06T16:53:03Z","title_canon_sha256":"4fcb1f0bd319bcb7745e776c2f5423c69321396c84a2b3c4dc566040e2a96728"},"schema_version":"1.0","source":{"id":"1511.06183","kind":"arxiv","version":2}},"canonical_sha256":"45bbbe0638bebe4ab127a5288ae0d20877c44ce18fb815c8a69aedac422e887c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45bbbe0638bebe4ab127a5288ae0d20877c44ce18fb815c8a69aedac422e887c","first_computed_at":"2026-05-18T01:09:42.034065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:42.034065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sDPwV3anHufatlFM+B4uxbmXnxGJ1c0uVS9KecppkD73PXBFQ/QNvmrGHHoaasoSqIVAD74MJJ/cpFJln+KpDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:42.034453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.06183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb37c87a120d3ac81433ec063c5e84ebc42d90b7bc46a60976859e05adaabb1c","sha256:5137ec41f7398b0e130bf8c22d4e526dbb5a18ebe3a027ca2bed56755194d09d"],"state_sha256":"0235ff90fbb2ed7c785db2e049fc2a76d904b082369dff561dd71bb9b92f74ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f96L1YSCZjUfTAVhChuxoVcOYcLM0zmuo5aF7YCI55u1UbAw3i68zVzls+Ggfpnzz03X6eKDds67EbBJQwL/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T07:28:19.982133Z","bundle_sha256":"f6e128f3f02eefa510bbe6ada05fe9bda21379e32297624e4ea7811ccacb89d7"}}