{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WVGP3S4BXFHPLXJAAG2A5K4CLZ","short_pith_number":"pith:WVGP3S4B","canonical_record":{"source":{"id":"2606.11295","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-09T18:00:01Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"016b3644b392b475799c531afb15bdfaa85d1d6c5e61e4269a72d9caba3df50c","abstract_canon_sha256":"2ada3146aeb1d3b1f7a5d165a418ce37ad1f9bb636609bf340f7ea250a14e972"},"schema_version":"1.0"},"canonical_sha256":"b54cfdcb81b94ef5dd2001b40eab825e7f4fa1ba442f6c5361504cd5c0e8ba36","source":{"kind":"arxiv","id":"2606.11295","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11295","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11295v1","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11295","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"pith_short_12","alias_value":"WVGP3S4BXFHP","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"pith_short_16","alias_value":"WVGP3S4BXFHPLXJA","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"pith_short_8","alias_value":"WVGP3S4B","created_at":"2026-06-11T00:08:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WVGP3S4BXFHPLXJAAG2A5K4CLZ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.11295","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-09T18:00:01Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"016b3644b392b475799c531afb15bdfaa85d1d6c5e61e4269a72d9caba3df50c","abstract_canon_sha256":"2ada3146aeb1d3b1f7a5d165a418ce37ad1f9bb636609bf340f7ea250a14e972"},"schema_version":"1.0"},"canonical_sha256":"b54cfdcb81b94ef5dd2001b40eab825e7f4fa1ba442f6c5361504cd5c0e8ba36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T00:08:17.323385Z","signature_b64":"1eGAmebHPCTVIx0hpLfbE0krslGGMt8vCdlCMQSn1QYeAtidDCAzfkM2qnKpPvIchuuHu46iVHYkoXODiNJGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b54cfdcb81b94ef5dd2001b40eab825e7f4fa1ba442f6c5361504cd5c0e8ba36","last_reissued_at":"2026-06-11T00:08:17.322582Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T00:08:17.322582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.11295","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":"2026-06-11T00:08:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J/ODv4dcG7gjKh9HPP/kegcuOkJogKyRSowRUZgAa1Gxm3PltHhzQvApnkWV1lRmODbvQcANZEmliHmYeSPWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:58:52.870069Z"},"content_sha256":"669ce88e166f3b82e9b9780c2c9fd83bbd4feb1428fbbf9d19bdd999fe328c0b","schema_version":"1.0","event_id":"sha256:669ce88e166f3b82e9b9780c2c9fd83bbd4feb1428fbbf9d19bdd999fe328c0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WVGP3S4BXFHPLXJAAG2A5K4CLZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpretable Neural Marked Statistics for Cosmological Inference","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"astro-ph.CO","authors_text":"Alvise Raccanelli, Benjamin D. Wandelt, Federico Semenzato, Michele Liguori","submitted_at":"2026-06-09T18:00:01Z","abstract_excerpt":"Recovering cosmological information beyond the power spectrum is a central goal for upcoming cosmological surveys, since late-time non-Gaussian signal in the matter density cannot be accessed through two-point statistics alone. Marked statistics fold part of this information back into the two-point level by reweighting the field with non-linear functions. We propose a neural marking scheme to generalize this process through a set of interpretable, physically motivated transformations that directly allow to interpret the gain in cosmological information at the morphological level. We employ a c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11295","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/2606.11295/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":"2026-06-11T00:08:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i8TWr8oQIbPgyqGFFOONYim3dH8+50grXewvcGwNexJgEVr5WB0kYQKTr/PNdc7msjSf4Y7Rab+ejsKhHUd6DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:58:52.870451Z"},"content_sha256":"8404b2c14b1cacfd90d2e0716f98b5fbde89ffc7de85389ce71dd89e049102d6","schema_version":"1.0","event_id":"sha256:8404b2c14b1cacfd90d2e0716f98b5fbde89ffc7de85389ce71dd89e049102d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ/bundle.json","state_url":"https://pith.science/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ/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":"2026-06-29T02:58:52Z","links":{"resolver":"https://pith.science/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ","bundle":"https://pith.science/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ/bundle.json","state":"https://pith.science/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WVGP3S4BXFHPLXJAAG2A5K4CLZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WVGP3S4BXFHPLXJAAG2A5K4CLZ","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":"2ada3146aeb1d3b1f7a5d165a418ce37ad1f9bb636609bf340f7ea250a14e972","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-09T18:00:01Z","title_canon_sha256":"016b3644b392b475799c531afb15bdfaa85d1d6c5e61e4269a72d9caba3df50c"},"schema_version":"1.0","source":{"id":"2606.11295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.11295","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"arxiv_version","alias_value":"2606.11295v1","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.11295","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"pith_short_12","alias_value":"WVGP3S4BXFHP","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"pith_short_16","alias_value":"WVGP3S4BXFHPLXJA","created_at":"2026-06-11T00:08:17Z"},{"alias_kind":"pith_short_8","alias_value":"WVGP3S4B","created_at":"2026-06-11T00:08:17Z"}],"graph_snapshots":[{"event_id":"sha256:8404b2c14b1cacfd90d2e0716f98b5fbde89ffc7de85389ce71dd89e049102d6","target":"graph","created_at":"2026-06-11T00:08:17Z","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/2606.11295/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recovering cosmological information beyond the power spectrum is a central goal for upcoming cosmological surveys, since late-time non-Gaussian signal in the matter density cannot be accessed through two-point statistics alone. Marked statistics fold part of this information back into the two-point level by reweighting the field with non-linear functions. We propose a neural marking scheme to generalize this process through a set of interpretable, physically motivated transformations that directly allow to interpret the gain in cosmological information at the morphological level. We employ a c","authors_text":"Alvise Raccanelli, Benjamin D. Wandelt, Federico Semenzato, Michele Liguori","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-09T18:00:01Z","title":"Interpretable Neural Marked Statistics for Cosmological Inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.11295","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":"sha256:669ce88e166f3b82e9b9780c2c9fd83bbd4feb1428fbbf9d19bdd999fe328c0b","target":"record","created_at":"2026-06-11T00:08:17Z","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":"2ada3146aeb1d3b1f7a5d165a418ce37ad1f9bb636609bf340f7ea250a14e972","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-06-09T18:00:01Z","title_canon_sha256":"016b3644b392b475799c531afb15bdfaa85d1d6c5e61e4269a72d9caba3df50c"},"schema_version":"1.0","source":{"id":"2606.11295","kind":"arxiv","version":1}},"canonical_sha256":"b54cfdcb81b94ef5dd2001b40eab825e7f4fa1ba442f6c5361504cd5c0e8ba36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b54cfdcb81b94ef5dd2001b40eab825e7f4fa1ba442f6c5361504cd5c0e8ba36","first_computed_at":"2026-06-11T00:08:17.322582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T00:08:17.322582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1eGAmebHPCTVIx0hpLfbE0krslGGMt8vCdlCMQSn1QYeAtidDCAzfkM2qnKpPvIchuuHu46iVHYkoXODiNJGAw==","signature_status":"signed_v1","signed_at":"2026-06-11T00:08:17.323385Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.11295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:669ce88e166f3b82e9b9780c2c9fd83bbd4feb1428fbbf9d19bdd999fe328c0b","sha256:8404b2c14b1cacfd90d2e0716f98b5fbde89ffc7de85389ce71dd89e049102d6"],"state_sha256":"e5d4de0aed2101475090732935699e580db2d4bfdb4866fd91b0d7d72eb303e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F2x14upJfnFZovm7CR1r0z9Br0gScilEdwzXQoIhl0czHqpVZTO2/XlBUm4fD2Ae9LEEF5cz3tbxF+Z8VDh1BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T02:58:52.872702Z","bundle_sha256":"0ccd0af0bcd587cc3aea0064e02e6df6d95eaa7fd392a3a39201a876e0fad0c4"}}