{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:63CWV5B2VAG35U7JJLNUN3S4VN","short_pith_number":"pith:63CWV5B2","canonical_record":{"source":{"id":"1108.3986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-08-19T15:48:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7633556b7eff47169bf4e2b0ace438e57f899f39b872dc90c7fd175927569907","abstract_canon_sha256":"7bb0ff5078f4fd9eca1978e3dc2aafd6fdde68854f8f5f2a0c2c179bbd26b298"},"schema_version":"1.0"},"canonical_sha256":"f6c56af43aa80dbed3e94adb46ee5cab70d2b4ed10576d9d1bb00c2bbd6f74c8","source":{"kind":"arxiv","id":"1108.3986","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3986","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3986v1","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3986","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"63CWV5B2VAG3","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"63CWV5B2VAG35U7J","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"63CWV5B2","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:63CWV5B2VAG35U7JJLNUN3S4VN","target":"record","payload":{"canonical_record":{"source":{"id":"1108.3986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-08-19T15:48:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7633556b7eff47169bf4e2b0ace438e57f899f39b872dc90c7fd175927569907","abstract_canon_sha256":"7bb0ff5078f4fd9eca1978e3dc2aafd6fdde68854f8f5f2a0c2c179bbd26b298"},"schema_version":"1.0"},"canonical_sha256":"f6c56af43aa80dbed3e94adb46ee5cab70d2b4ed10576d9d1bb00c2bbd6f74c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:02.419280Z","signature_b64":"HkYeWu0v0A7xYh9PeZIBvwiM+71grskx9r4k2w+ChMB73GS5li45r2LS9Fx0HcTo6hnSrS6FtBj+UwucFivJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6c56af43aa80dbed3e94adb46ee5cab70d2b4ed10576d9d1bb00c2bbd6f74c8","last_reissued_at":"2026-05-18T03:23:02.418518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:02.418518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.3986","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":"2026-05-18T03:23:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jd3LF/qSfphLlCY6BmC2ndC49pfKhDv63yvOEHQsrK8d46N4xYkiLZnmxkJJeOtrlrkn15Dovg+vZdAK3g74DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:01:35.877348Z"},"content_sha256":"2ba34052e08afc3367a3a94ab47a54ff1ae122ea93e839f1ae0c8e730c1e27e8","schema_version":"1.0","event_id":"sha256:2ba34052e08afc3367a3a94ab47a54ff1ae122ea93e839f1ae0c8e730c1e27e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:63CWV5B2VAG35U7JJLNUN3S4VN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bose-Einstein Condensate general relativistic stars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.SR","authors_text":"P.H. Chavanis, T. Harko","submitted_at":"2011-08-19T15:48:50Z","abstract_excerpt":"We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate. To study the condensate we use the Gross-Pitaevskii equation, with arbitrary non-linearity. By introducing the Madelung representation of the wave function, we formulate the dynamics of the system in terms of the continuity equation and of the hydrodynamic Euler equations. The non-relativistic and Newtonian Bose-Einstein gravitational condensate can be described as a gas, whose density and pressure are re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3986","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":"2026-05-18T03:23:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YEeSLw0oJWwqvucCOrvTPmRv5BQl8yp5aeNsOsyYpmvXsxrRqByzl9YeUtaOQYHjFJXfMBYDuvTytbxQQdkJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:01:35.877685Z"},"content_sha256":"6c687561eaa86b8836b8d8c59fe34007fc2bc5281cf30a7628119f645074f5b9","schema_version":"1.0","event_id":"sha256:6c687561eaa86b8836b8d8c59fe34007fc2bc5281cf30a7628119f645074f5b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/63CWV5B2VAG35U7JJLNUN3S4VN/bundle.json","state_url":"https://pith.science/pith/63CWV5B2VAG35U7JJLNUN3S4VN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/63CWV5B2VAG35U7JJLNUN3S4VN/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":"2026-06-01T15:01:35Z","links":{"resolver":"https://pith.science/pith/63CWV5B2VAG35U7JJLNUN3S4VN","bundle":"https://pith.science/pith/63CWV5B2VAG35U7JJLNUN3S4VN/bundle.json","state":"https://pith.science/pith/63CWV5B2VAG35U7JJLNUN3S4VN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/63CWV5B2VAG35U7JJLNUN3S4VN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:63CWV5B2VAG35U7JJLNUN3S4VN","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":"7bb0ff5078f4fd9eca1978e3dc2aafd6fdde68854f8f5f2a0c2c179bbd26b298","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-08-19T15:48:50Z","title_canon_sha256":"7633556b7eff47169bf4e2b0ace438e57f899f39b872dc90c7fd175927569907"},"schema_version":"1.0","source":{"id":"1108.3986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3986","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3986v1","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3986","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"63CWV5B2VAG3","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"63CWV5B2VAG35U7J","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"63CWV5B2","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:6c687561eaa86b8836b8d8c59fe34007fc2bc5281cf30a7628119f645074f5b9","target":"graph","created_at":"2026-05-18T03:23:02Z","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":"We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate. To study the condensate we use the Gross-Pitaevskii equation, with arbitrary non-linearity. By introducing the Madelung representation of the wave function, we formulate the dynamics of the system in terms of the continuity equation and of the hydrodynamic Euler equations. The non-relativistic and Newtonian Bose-Einstein gravitational condensate can be described as a gas, whose density and pressure are re","authors_text":"P.H. Chavanis, T. Harko","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-08-19T15:48:50Z","title":"Bose-Einstein Condensate general relativistic stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3986","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":"sha256:2ba34052e08afc3367a3a94ab47a54ff1ae122ea93e839f1ae0c8e730c1e27e8","target":"record","created_at":"2026-05-18T03:23:02Z","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":"7bb0ff5078f4fd9eca1978e3dc2aafd6fdde68854f8f5f2a0c2c179bbd26b298","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-08-19T15:48:50Z","title_canon_sha256":"7633556b7eff47169bf4e2b0ace438e57f899f39b872dc90c7fd175927569907"},"schema_version":"1.0","source":{"id":"1108.3986","kind":"arxiv","version":1}},"canonical_sha256":"f6c56af43aa80dbed3e94adb46ee5cab70d2b4ed10576d9d1bb00c2bbd6f74c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6c56af43aa80dbed3e94adb46ee5cab70d2b4ed10576d9d1bb00c2bbd6f74c8","first_computed_at":"2026-05-18T03:23:02.418518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:02.418518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HkYeWu0v0A7xYh9PeZIBvwiM+71grskx9r4k2w+ChMB73GS5li45r2LS9Fx0HcTo6hnSrS6FtBj+UwucFivJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:02.419280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.3986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ba34052e08afc3367a3a94ab47a54ff1ae122ea93e839f1ae0c8e730c1e27e8","sha256:6c687561eaa86b8836b8d8c59fe34007fc2bc5281cf30a7628119f645074f5b9"],"state_sha256":"c311ab8c4fbc6d514a9732fea1b698dc9865ac660394449ef9e7037dc2586ada"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9XG5bclqx+t9nOTfYErl5LSl1vUxQTC92T+7O6FnIox9Wp8MONxy5MXTUg4mWB623SUZolfwv1KCmeWunOhODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:01:35.879487Z","bundle_sha256":"2461feb64e14a9f11d8f0fed66c844c8d3cd85c70f14cf309fb00d46fe79677e"}}