{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:TFDS4SFQC5M4R3OVEDNYUXBIH5","short_pith_number":"pith:TFDS4SFQ","schema_version":"1.0","canonical_sha256":"99472e48b01759c8edd520db8a5c283f4fc87bfc448af09426e94f299548a57c","source":{"kind":"arxiv","id":"2602.01320","version":3},"attestation_state":"computed","paper":{"title":"A Variable-Slope Smooth-$k$ Filter for Modeling Halo Abundances with Damped and Oscillatory Power Spectra","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Andreu Rocamora Martorell","submitted_at":"2026-02-01T16:28:06Z","abstract_excerpt":"We introduce a variable-slope smooth-$k$ (VSMK) filter within the Press-Schechter formalism to model halo mass functions derived from damped and oscillatory matter power spectra. While the standard smooth-$k$ approach successfully captures small-scale suppression effects, it intrinsically couples these to oscillatory features at intermediate scales. The VSMK filter generalizes this framework by allowing the effective logarithmic slope of the $k$-space window function to vary smoothly between two asymptotic regimes, thereby decoupling the small-scale suppression of halo abundances from the inte"},"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":"2602.01320","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-02-01T16:28:06Z","cross_cats_sorted":[],"title_canon_sha256":"81c454614b670739bc88e0e904cfc6b770fccbe5e9d252cf78f341f00c9a0717","abstract_canon_sha256":"fb040c02fb03799eeea27152103d8cfa915cfa9ff608bd98ebfed55d62381bd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T01:20:43.321030Z","signature_b64":"N2NSR7TjR9LbSkoHikz+eNqcfVr46+elKgTQuNLYqVh4CSMqasNmLOwVtPrKH4g8JX1uXAHCX8lLHsWWKYklDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99472e48b01759c8edd520db8a5c283f4fc87bfc448af09426e94f299548a57c","last_reissued_at":"2026-07-21T01:20:43.319847Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T01:20:43.319847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Variable-Slope Smooth-$k$ Filter for Modeling Halo Abundances with Damped and Oscillatory Power Spectra","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Andreu Rocamora Martorell","submitted_at":"2026-02-01T16:28:06Z","abstract_excerpt":"We introduce a variable-slope smooth-$k$ (VSMK) filter within the Press-Schechter formalism to model halo mass functions derived from damped and oscillatory matter power spectra. While the standard smooth-$k$ approach successfully captures small-scale suppression effects, it intrinsically couples these to oscillatory features at intermediate scales. The VSMK filter generalizes this framework by allowing the effective logarithmic slope of the $k$-space window function to vary smoothly between two asymptotic regimes, thereby decoupling the small-scale suppression of halo abundances from the inte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.01320","kind":"arxiv","version":3},"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/2602.01320/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":"2602.01320","created_at":"2026-07-21T01:20:43.320506+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.01320v3","created_at":"2026-07-21T01:20:43.320506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01320","created_at":"2026-07-21T01:20:43.320506+00:00"},{"alias_kind":"pith_short_12","alias_value":"TFDS4SFQC5M4","created_at":"2026-07-21T01:20:43.320506+00:00"},{"alias_kind":"pith_short_16","alias_value":"TFDS4SFQC5M4R3OV","created_at":"2026-07-21T01:20:43.320506+00:00"},{"alias_kind":"pith_short_8","alias_value":"TFDS4SFQ","created_at":"2026-07-21T01:20:43.320506+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/TFDS4SFQC5M4R3OVEDNYUXBIH5","json":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5.json","graph_json":"https://pith.science/api/pith-number/TFDS4SFQC5M4R3OVEDNYUXBIH5/graph.json","events_json":"https://pith.science/api/pith-number/TFDS4SFQC5M4R3OVEDNYUXBIH5/events.json","paper":"https://pith.science/paper/TFDS4SFQ"},"agent_actions":{"view_html":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5","download_json":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5.json","view_paper":"https://pith.science/paper/TFDS4SFQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.01320&json=true","fetch_graph":"https://pith.science/api/pith-number/TFDS4SFQC5M4R3OVEDNYUXBIH5/graph.json","fetch_events":"https://pith.science/api/pith-number/TFDS4SFQC5M4R3OVEDNYUXBIH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/action/storage_attestation","attest_author":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/action/author_attestation","sign_citation":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/action/citation_signature","submit_replication":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/action/replication_record"}},"created_at":"2026-07-21T01:20:43.320506+00:00","updated_at":"2026-07-21T01:20:43.320506+00:00"}