{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:6C2YC2PR6VDYFDIXKQR55NGVJ6","short_pith_number":"pith:6C2YC2PR","schema_version":"1.0","canonical_sha256":"f0b58169f1f547828d175423deb4d54fb38acb7629e7b1da330ad7c40c0bb891","source":{"kind":"arxiv","id":"0710.4029","version":1},"attestation_state":"computed","paper":{"title":"An analytical model of surface mass densities of cold dark matter haloes - with an application to MACHO microlensing optical depths","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Alexander Knebe, Chris Flynn, Erik Zackrisson, Janne Holopainen, Pasi Nurmi, Pekka Heinamaki, Stuart Gill, Teresa Riehm","submitted_at":"2007-10-22T12:00:10Z","abstract_excerpt":"The cold dark matter (CDM) scenario generically predicts the existence of triaxial dark matter haloes which contain notable amounts of substructure. However, analytical halo models with smooth, spherically symmetric density profiles are routinely adopted in the modelling of light propagation effects through such objects. In this paper, we address the biases introduced by this procedure by comparing the surface mass densities of actual N-body haloes against the widely used analytical model suggested by Navarro, Frenk and White (1996) (NFW).\n  We conduct our analysis in the redshift range of 0.0"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0710.4029","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-10-22T12:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"966323e2c1549b8094170739cb2ee1abdb0ec8b6d29578807fe408ebe0bd583d","abstract_canon_sha256":"122c909f67b2e6da1a7484c879da1e60cb67532b8532bca79e6b06dfd6a18193"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:06:20.838125Z","signature_b64":"9S2J6ex/+PX45mDYCMBK5YjVW6OtUl4KMel1g2ts7ZsRw4l9SSsB0eFhFTNVELunLmRlGxoDbKJLhyj2UWoMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0b58169f1f547828d175423deb4d54fb38acb7629e7b1da330ad7c40c0bb891","last_reissued_at":"2026-07-04T17:06:20.837762Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:06:20.837762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An analytical model of surface mass densities of cold dark matter haloes - with an application to MACHO microlensing optical depths","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Alexander Knebe, Chris Flynn, Erik Zackrisson, Janne Holopainen, Pasi Nurmi, Pekka Heinamaki, Stuart Gill, Teresa Riehm","submitted_at":"2007-10-22T12:00:10Z","abstract_excerpt":"The cold dark matter (CDM) scenario generically predicts the existence of triaxial dark matter haloes which contain notable amounts of substructure. However, analytical halo models with smooth, spherically symmetric density profiles are routinely adopted in the modelling of light propagation effects through such objects. In this paper, we address the biases introduced by this procedure by comparing the surface mass densities of actual N-body haloes against the widely used analytical model suggested by Navarro, Frenk and White (1996) (NFW).\n  We conduct our analysis in the redshift range of 0.0"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4029","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0710.4029/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0710.4029","created_at":"2026-07-04T17:06:20.837821+00:00"},{"alias_kind":"arxiv_version","alias_value":"0710.4029v1","created_at":"2026-07-04T17:06:20.837821+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4029","created_at":"2026-07-04T17:06:20.837821+00:00"},{"alias_kind":"pith_short_12","alias_value":"6C2YC2PR6VDY","created_at":"2026-07-04T17:06:20.837821+00:00"},{"alias_kind":"pith_short_16","alias_value":"6C2YC2PR6VDYFDIX","created_at":"2026-07-04T17:06:20.837821+00:00"},{"alias_kind":"pith_short_8","alias_value":"6C2YC2PR","created_at":"2026-07-04T17:06:20.837821+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6","json":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6.json","graph_json":"https://pith.science/api/pith-number/6C2YC2PR6VDYFDIXKQR55NGVJ6/graph.json","events_json":"https://pith.science/api/pith-number/6C2YC2PR6VDYFDIXKQR55NGVJ6/events.json","paper":"https://pith.science/paper/6C2YC2PR"},"agent_actions":{"view_html":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6","download_json":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6.json","view_paper":"https://pith.science/paper/6C2YC2PR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0710.4029&json=true","fetch_graph":"https://pith.science/api/pith-number/6C2YC2PR6VDYFDIXKQR55NGVJ6/graph.json","fetch_events":"https://pith.science/api/pith-number/6C2YC2PR6VDYFDIXKQR55NGVJ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6/action/storage_attestation","attest_author":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6/action/author_attestation","sign_citation":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6/action/citation_signature","submit_replication":"https://pith.science/pith/6C2YC2PR6VDYFDIXKQR55NGVJ6/action/replication_record"}},"created_at":"2026-07-04T17:06:20.837821+00:00","updated_at":"2026-07-04T17:06:20.837821+00:00"}