{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:TFDS4SFQC5M4R3OVEDNYUXBIH5","short_pith_number":"pith:TFDS4SFQ","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"},"canonical_sha256":"99472e48b01759c8edd520db8a5c283f4fc87bfc448af09426e94f299548a57c","source":{"kind":"arxiv","id":"2602.01320","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.01320","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"arxiv_version","alias_value":"2602.01320v3","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01320","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"pith_short_12","alias_value":"TFDS4SFQC5M4","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"pith_short_16","alias_value":"TFDS4SFQC5M4R3OV","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"pith_short_8","alias_value":"TFDS4SFQ","created_at":"2026-07-21T01:20:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:TFDS4SFQC5M4R3OVEDNYUXBIH5","target":"record","payload":{"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"},"canonical_sha256":"99472e48b01759c8edd520db8a5c283f4fc87bfc448af09426e94f299548a57c","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"},"source_kind":"arxiv","source_id":"2602.01320","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T01:20:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PZSFJKv38EsD/IZVQLf9TH9m+8TwfzOOhybpfes3H8m3Xzwno3L3ZvY8n2dZrf/Il3hWPaFy5pWe3zrDzJvaAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:37:59.497528Z"},"content_sha256":"442852b785dc2aca9b0566b2c74baf16f7d12dad5885db7f4abda73d1cfdeb03","schema_version":"1.0","event_id":"sha256:442852b785dc2aca9b0566b2c74baf16f7d12dad5885db7f4abda73d1cfdeb03"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:TFDS4SFQC5M4R3OVEDNYUXBIH5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T01:20:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uYZDQq71rntI1vsvKg/c/AngShV8AAcGioFTIpHJy6J/LPNR/gSGTTcuF9xDVmQap12D3WUsnsQlSRR8SAJGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:37:59.497935Z"},"content_sha256":"80abeac190cc3cc4f2791d225e0d3925dd47816b2446a483c67bec8b0065f812","schema_version":"1.0","event_id":"sha256:80abeac190cc3cc4f2791d225e0d3925dd47816b2446a483c67bec8b0065f812"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/bundle.json","state_url":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/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":"2026-08-03T21:37:59Z","links":{"resolver":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5","bundle":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/bundle.json","state":"https://pith.science/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TFDS4SFQC5M4R3OVEDNYUXBIH5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TFDS4SFQC5M4R3OVEDNYUXBIH5","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":"fb040c02fb03799eeea27152103d8cfa915cfa9ff608bd98ebfed55d62381bd5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-02-01T16:28:06Z","title_canon_sha256":"81c454614b670739bc88e0e904cfc6b770fccbe5e9d252cf78f341f00c9a0717"},"schema_version":"1.0","source":{"id":"2602.01320","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.01320","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"arxiv_version","alias_value":"2602.01320v3","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.01320","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"pith_short_12","alias_value":"TFDS4SFQC5M4","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"pith_short_16","alias_value":"TFDS4SFQC5M4R3OV","created_at":"2026-07-21T01:20:43Z"},{"alias_kind":"pith_short_8","alias_value":"TFDS4SFQ","created_at":"2026-07-21T01:20:43Z"}],"graph_snapshots":[{"event_id":"sha256:80abeac190cc3cc4f2791d225e0d3925dd47816b2446a483c67bec8b0065f812","target":"graph","created_at":"2026-07-21T01:20:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2602.01320/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Andreu Rocamora Martorell","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-02-01T16:28:06Z","title":"A Variable-Slope Smooth-$k$ Filter for Modeling Halo Abundances with Damped and Oscillatory Power Spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.01320","kind":"arxiv","version":3},"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":"sha256:442852b785dc2aca9b0566b2c74baf16f7d12dad5885db7f4abda73d1cfdeb03","target":"record","created_at":"2026-07-21T01:20:43Z","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":"fb040c02fb03799eeea27152103d8cfa915cfa9ff608bd98ebfed55d62381bd5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-02-01T16:28:06Z","title_canon_sha256":"81c454614b670739bc88e0e904cfc6b770fccbe5e9d252cf78f341f00c9a0717"},"schema_version":"1.0","source":{"id":"2602.01320","kind":"arxiv","version":3}},"canonical_sha256":"99472e48b01759c8edd520db8a5c283f4fc87bfc448af09426e94f299548a57c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99472e48b01759c8edd520db8a5c283f4fc87bfc448af09426e94f299548a57c","first_computed_at":"2026-07-21T01:20:43.319847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:20:43.319847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N2NSR7TjR9LbSkoHikz+eNqcfVr46+elKgTQuNLYqVh4CSMqasNmLOwVtPrKH4g8JX1uXAHCX8lLHsWWKYklDQ==","signature_status":"signed_v1","signed_at":"2026-07-21T01:20:43.321030Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.01320","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:442852b785dc2aca9b0566b2c74baf16f7d12dad5885db7f4abda73d1cfdeb03","sha256:80abeac190cc3cc4f2791d225e0d3925dd47816b2446a483c67bec8b0065f812"],"state_sha256":"c19e8a1dacebdfe68535f33b707954fbe4cde9ee4065cca74d99b793dc083954"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GISvYtI0i/CkxcTDJMoogFlDd8adyx+c18hZk2R5Wr4yE87HZSjzAn4kacQhVC1SIYrzypdxq3ZXO8YyWsWTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:37:59.500500Z","bundle_sha256":"be9cb2bbffa0566b9da12b0ede76b5802201bf90c3d0e565648b487fec9547b9"}}