{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BSF4GFFDXNHCI7E7UHNHYUOJ6K","short_pith_number":"pith:BSF4GFFD","canonical_record":{"source":{"id":"1403.7098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-27T15:48:13Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c97023f2456f3e3d0e086788685f7c61ff025bbc4392ff30c3b73c3e699ae463","abstract_canon_sha256":"0ae71b978fd9dda9bef14b3301e8e0152c74b6620c2b9efc1528fae163265a5e"},"schema_version":"1.0"},"canonical_sha256":"0c8bc314a3bb4e247c9fa1da7c51c9f29e7fdae7c76c8ef304cb8e37f5c9b3d2","source":{"kind":"arxiv","id":"1403.7098","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7098","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7098v2","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7098","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"BSF4GFFDXNHC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BSF4GFFDXNHCI7E7","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BSF4GFFD","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BSF4GFFDXNHCI7E7UHNHYUOJ6K","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-27T15:48:13Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"c97023f2456f3e3d0e086788685f7c61ff025bbc4392ff30c3b73c3e699ae463","abstract_canon_sha256":"0ae71b978fd9dda9bef14b3301e8e0152c74b6620c2b9efc1528fae163265a5e"},"schema_version":"1.0"},"canonical_sha256":"0c8bc314a3bb4e247c9fa1da7c51c9f29e7fdae7c76c8ef304cb8e37f5c9b3d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:10.636582Z","signature_b64":"agjrg/Zo5W7o3AYZMDwjdh7HwXAZHpunj5SPYdAfHPfxixd7xCTxQ+tarkRI1TZsqdDuVCB610mpU8JHoGVtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c8bc314a3bb4e247c9fa1da7c51c9f29e7fdae7c76c8ef304cb8e37f5c9b3d2","last_reissued_at":"2026-05-18T02:40:10.635914Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:10.635914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7098","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":"2026-05-18T02:40:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lqrkQgECfnbXED82ih3aSOkIgb8BsJSJa0FyDgNQz+NT07ZhS+u1FQDn3RAOTWNYNw8sDC+lymXQQWQKAAu6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:39:26.173831Z"},"content_sha256":"974eea4cecd16ee5477d34538c46ba295b505b42451630be6709e0fd9ca11c72","schema_version":"1.0","event_id":"sha256:974eea4cecd16ee5477d34538c46ba295b505b42451630be6709e0fd9ca11c72"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BSF4GFFDXNHCI7E7UHNHYUOJ6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adiabatic contraction revisited: implications for primordial black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Fabio Capela, Maxim Pshirkov, Peter Tinyakov","submitted_at":"2014-03-27T15:48:13Z","abstract_excerpt":"We simulate the adiabatic contraction of a dark matter (DM) distribution during the process of the star formation, paying particular attention to the phase space distribution of the DM particles after the contraction. Assuming the initial uniform density and Maxwellian distribution of DM velocities, we find that the number $n(r)$ of DM particles within the radius $r$ scales like $n(r) \\propto r^{1.5}$, leading to the DM density profile $\\rho\\propto r^{-1.5}$, in agreement with the Liouville theorem and previous numerical studies. At the same time, the number of DM particles $\\nu(r)$ with peria"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7098","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":"2026-05-18T02:40:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W+INAspCXwosYYQ4ACgGsnaAdBV8qY02TgY7OD6ukE9hnvGlihVerKHR/7HNTTI9g70st44utEi/iZ1Sf5gCDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:39:26.174233Z"},"content_sha256":"169703ab1e4e4474fe5e53b4066b827d5aa57ae1693a82de940be7c6d903d451","schema_version":"1.0","event_id":"sha256:169703ab1e4e4474fe5e53b4066b827d5aa57ae1693a82de940be7c6d903d451"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K/bundle.json","state_url":"https://pith.science/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K/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":"2026-05-26T18:39:26Z","links":{"resolver":"https://pith.science/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K","bundle":"https://pith.science/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K/bundle.json","state":"https://pith.science/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSF4GFFDXNHCI7E7UHNHYUOJ6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BSF4GFFDXNHCI7E7UHNHYUOJ6K","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":"0ae71b978fd9dda9bef14b3301e8e0152c74b6620c2b9efc1528fae163265a5e","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-27T15:48:13Z","title_canon_sha256":"c97023f2456f3e3d0e086788685f7c61ff025bbc4392ff30c3b73c3e699ae463"},"schema_version":"1.0","source":{"id":"1403.7098","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7098","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7098v2","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7098","created_at":"2026-05-18T02:40:10Z"},{"alias_kind":"pith_short_12","alias_value":"BSF4GFFDXNHC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BSF4GFFDXNHCI7E7","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BSF4GFFD","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:169703ab1e4e4474fe5e53b4066b827d5aa57ae1693a82de940be7c6d903d451","target":"graph","created_at":"2026-05-18T02:40:10Z","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":"We simulate the adiabatic contraction of a dark matter (DM) distribution during the process of the star formation, paying particular attention to the phase space distribution of the DM particles after the contraction. Assuming the initial uniform density and Maxwellian distribution of DM velocities, we find that the number $n(r)$ of DM particles within the radius $r$ scales like $n(r) \\propto r^{1.5}$, leading to the DM density profile $\\rho\\propto r^{-1.5}$, in agreement with the Liouville theorem and previous numerical studies. At the same time, the number of DM particles $\\nu(r)$ with peria","authors_text":"Fabio Capela, Maxim Pshirkov, Peter Tinyakov","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-27T15:48:13Z","title":"Adiabatic contraction revisited: implications for primordial black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7098","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":"sha256:974eea4cecd16ee5477d34538c46ba295b505b42451630be6709e0fd9ca11c72","target":"record","created_at":"2026-05-18T02:40:10Z","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":"0ae71b978fd9dda9bef14b3301e8e0152c74b6620c2b9efc1528fae163265a5e","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-03-27T15:48:13Z","title_canon_sha256":"c97023f2456f3e3d0e086788685f7c61ff025bbc4392ff30c3b73c3e699ae463"},"schema_version":"1.0","source":{"id":"1403.7098","kind":"arxiv","version":2}},"canonical_sha256":"0c8bc314a3bb4e247c9fa1da7c51c9f29e7fdae7c76c8ef304cb8e37f5c9b3d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c8bc314a3bb4e247c9fa1da7c51c9f29e7fdae7c76c8ef304cb8e37f5c9b3d2","first_computed_at":"2026-05-18T02:40:10.635914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:10.635914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"agjrg/Zo5W7o3AYZMDwjdh7HwXAZHpunj5SPYdAfHPfxixd7xCTxQ+tarkRI1TZsqdDuVCB610mpU8JHoGVtBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:10.636582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7098","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:974eea4cecd16ee5477d34538c46ba295b505b42451630be6709e0fd9ca11c72","sha256:169703ab1e4e4474fe5e53b4066b827d5aa57ae1693a82de940be7c6d903d451"],"state_sha256":"98035ad97aadb528fbfda2f16f38c1df2bd3e388df5d662da33705ff3b682f9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"igkIDwPwMbduWDHvqvo/DOCr6w2aTpqlaqPr8y40dzyr9kHrJcN1NU+Yv4j5VzHbPgc93U1BTWGNvZH0R94YCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:39:26.177789Z","bundle_sha256":"0157f94bc9bb99c3a9c21d179cc3a72c84f59110827e6ee323d54c6e1427e763"}}