{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AZJSCW6BD4G5TDGZ547I4ZYLMM","short_pith_number":"pith:AZJSCW6B","canonical_record":{"source":{"id":"1804.08079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-22T07:38:58Z","cross_cats_sorted":["astro-ph.GA","hep-th"],"title_canon_sha256":"2dfedff0953982b4aa7cd6ba4c8e264f248347f2dc7fabd4b16fd1b872a3d0e8","abstract_canon_sha256":"2179573d0cfc8601bfce451b3b1806218942f0f251918fe9df660c4126a949a1"},"schema_version":"1.0"},"canonical_sha256":"0653215bc11f0dd98cd9ef3e8e670b6321d4400f33efa41a48489a6c23b6c1f9","source":{"kind":"arxiv","id":"1804.08079","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08079","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08079v1","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08079","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"AZJSCW6BD4G5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AZJSCW6BD4G5TDGZ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AZJSCW6B","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AZJSCW6BD4G5TDGZ547I4ZYLMM","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-22T07:38:58Z","cross_cats_sorted":["astro-ph.GA","hep-th"],"title_canon_sha256":"2dfedff0953982b4aa7cd6ba4c8e264f248347f2dc7fabd4b16fd1b872a3d0e8","abstract_canon_sha256":"2179573d0cfc8601bfce451b3b1806218942f0f251918fe9df660c4126a949a1"},"schema_version":"1.0"},"canonical_sha256":"0653215bc11f0dd98cd9ef3e8e670b6321d4400f33efa41a48489a6c23b6c1f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:10.310086Z","signature_b64":"ZZ3YWC5svE5rYz9CSksjt8xZbRXQllT4UhlnD4vLwurpVUgJuf1lBUfPMLNBPJT9aKty6VzZhIM8JobgZUiQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0653215bc11f0dd98cd9ef3e8e670b6321d4400f33efa41a48489a6c23b6c1f9","last_reissued_at":"2026-05-18T00:10:10.308629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:10.308629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08079","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":"2026-05-18T00:10:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4cdrTEJI14VF6Bx91GJxLctQ4ICOkBU2NlxvgxLkE8E1/Ciu4cJKgbm8pkE/gl+RW22aEBpD4lzputc7VX4GCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:22:22.775848Z"},"content_sha256":"1ef093841306674160b1fd5debb7dbf0868f7fecfb65dc0d235b9f40cf2d6fa9","schema_version":"1.0","event_id":"sha256:1ef093841306674160b1fd5debb7dbf0868f7fecfb65dc0d235b9f40cf2d6fa9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AZJSCW6BD4G5TDGZ547I4ZYLMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slowly rotating Bose Einstein Condensate galactic dark matter halos, and their rotation curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","hep-th"],"primary_cat":"gr-qc","authors_text":"Chun Sing Leung, Man Ho Chan, Shi-Dong Liang, Tiberiu Harko, Xiaoyue Zhang","submitted_at":"2018-04-22T07:38:58Z","abstract_excerpt":"If dark matter is composed of massive bosons, a Bose-Einstein Condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction. We consider the effects of rotation on the Bose-Einstein Condensate dark matter halos, and we investigate how rotation might influence their astrophysical properties. In order to describe the condensate we use the Gross-Pitaevskii equation, and the Thomas-Fermi approximation, which predicts a polytropic equation of state with polytropic index $n=1$. By"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08079","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":"2026-05-18T00:10:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dL00YJ4ZJ29QAPe/zSwVtKtl0Lp0WF47q/2E03USHJmITbUcoKqv/wPrmJ5+bzXrWVLMFAJxyQEiY7rNuVySBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:22:22.776188Z"},"content_sha256":"0b03ac79ef0a6077f2665e82d4d5374c24170952463746ed1967ec450b8badd8","schema_version":"1.0","event_id":"sha256:0b03ac79ef0a6077f2665e82d4d5374c24170952463746ed1967ec450b8badd8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM/bundle.json","state_url":"https://pith.science/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM/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":"2026-06-03T14:22:22Z","links":{"resolver":"https://pith.science/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM","bundle":"https://pith.science/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM/bundle.json","state":"https://pith.science/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AZJSCW6BD4G5TDGZ547I4ZYLMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AZJSCW6BD4G5TDGZ547I4ZYLMM","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":"2179573d0cfc8601bfce451b3b1806218942f0f251918fe9df660c4126a949a1","cross_cats_sorted":["astro-ph.GA","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-22T07:38:58Z","title_canon_sha256":"2dfedff0953982b4aa7cd6ba4c8e264f248347f2dc7fabd4b16fd1b872a3d0e8"},"schema_version":"1.0","source":{"id":"1804.08079","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08079","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08079v1","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08079","created_at":"2026-05-18T00:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"AZJSCW6BD4G5","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AZJSCW6BD4G5TDGZ","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AZJSCW6B","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:0b03ac79ef0a6077f2665e82d4d5374c24170952463746ed1967ec450b8badd8","target":"graph","created_at":"2026-05-18T00:10:10Z","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":"If dark matter is composed of massive bosons, a Bose-Einstein Condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction. We consider the effects of rotation on the Bose-Einstein Condensate dark matter halos, and we investigate how rotation might influence their astrophysical properties. In order to describe the condensate we use the Gross-Pitaevskii equation, and the Thomas-Fermi approximation, which predicts a polytropic equation of state with polytropic index $n=1$. By","authors_text":"Chun Sing Leung, Man Ho Chan, Shi-Dong Liang, Tiberiu Harko, Xiaoyue Zhang","cross_cats":["astro-ph.GA","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-22T07:38:58Z","title":"Slowly rotating Bose Einstein Condensate galactic dark matter halos, and their rotation curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08079","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":"sha256:1ef093841306674160b1fd5debb7dbf0868f7fecfb65dc0d235b9f40cf2d6fa9","target":"record","created_at":"2026-05-18T00:10:10Z","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":"2179573d0cfc8601bfce451b3b1806218942f0f251918fe9df660c4126a949a1","cross_cats_sorted":["astro-ph.GA","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-04-22T07:38:58Z","title_canon_sha256":"2dfedff0953982b4aa7cd6ba4c8e264f248347f2dc7fabd4b16fd1b872a3d0e8"},"schema_version":"1.0","source":{"id":"1804.08079","kind":"arxiv","version":1}},"canonical_sha256":"0653215bc11f0dd98cd9ef3e8e670b6321d4400f33efa41a48489a6c23b6c1f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0653215bc11f0dd98cd9ef3e8e670b6321d4400f33efa41a48489a6c23b6c1f9","first_computed_at":"2026-05-18T00:10:10.308629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:10.308629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZZ3YWC5svE5rYz9CSksjt8xZbRXQllT4UhlnD4vLwurpVUgJuf1lBUfPMLNBPJT9aKty6VzZhIM8JobgZUiQBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:10.310086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08079","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ef093841306674160b1fd5debb7dbf0868f7fecfb65dc0d235b9f40cf2d6fa9","sha256:0b03ac79ef0a6077f2665e82d4d5374c24170952463746ed1967ec450b8badd8"],"state_sha256":"9b9d2f7c3aedac6fd6b59b467c073b12a1743cd73a3c97249386f2339a9ed028"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dgVYgMdZFhM651z0FtbSFK6m71ce2ZvoGnvhF08XlfzXgqxj9+aFspSzGFMEK7xoX2rHsOu1YV1+YN69RyKpBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:22:22.778213Z","bundle_sha256":"43a7c90a21b1e3b39e80458b36bdeedef7c0f7f8a3c39b1c40369cc3b0ca4edc"}}