{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3YGQGTG4OURDFHUHGPK2CP5O4N","short_pith_number":"pith:3YGQGTG4","canonical_record":{"source":{"id":"2607.14940","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T12:51:45Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"fa2c6114054d9a75f9cdf0a0a72f3cb137e809baf0dbc41938ed3d68c760a625","abstract_canon_sha256":"d4a770836995778dcecab5ac866596b0828b6ab57e77d0b80e77afe0fb363667"},"schema_version":"1.0"},"canonical_sha256":"de0d034cdc7522329e8733d5a13faee359e0e278b622156c3b84234096d70f8e","source":{"kind":"arxiv","id":"2607.14940","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14940","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14940v1","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14940","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"3YGQGTG4OURD","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"3YGQGTG4OURDFHUH","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"3YGQGTG4","created_at":"2026-07-17T01:22:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3YGQGTG4OURDFHUHGPK2CP5O4N","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14940","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T12:51:45Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"fa2c6114054d9a75f9cdf0a0a72f3cb137e809baf0dbc41938ed3d68c760a625","abstract_canon_sha256":"d4a770836995778dcecab5ac866596b0828b6ab57e77d0b80e77afe0fb363667"},"schema_version":"1.0"},"canonical_sha256":"de0d034cdc7522329e8733d5a13faee359e0e278b622156c3b84234096d70f8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T01:22:00.219346Z","signature_b64":"pa9dvgc79S32czzWoqljg9px6otsbcrNiaDyO6SWNSPCKMDwG9GLyS8oBfNxo4SgvImrHPe8ARleryd3STSpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de0d034cdc7522329e8733d5a13faee359e0e278b622156c3b84234096d70f8e","last_reissued_at":"2026-07-17T01:22:00.218371Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T01:22:00.218371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14940","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":"2026-07-17T01:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KsH8PsmsnW/AadhYnYPvpEIm2EZiNi3UXYWXg1Y7cGKd+cvhI54BCzoTeImn1j6OWDY7EDHmJRC5nXApXz/qDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:28:27.247076Z"},"content_sha256":"7844211ee0b389b3a5b3533e882f6da0919b48449af709aa89803e98cd65e7a5","schema_version":"1.0","event_id":"sha256:7844211ee0b389b3a5b3533e882f6da0919b48449af709aa89803e98cd65e7a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3YGQGTG4OURDFHUHGPK2CP5O4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Causal Inference for Sequential Settings under Interference and Latent Confounding","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cs.LG","authors_text":"Constantinos Daskalakis, Devavrat Shah, Phevos Paschalidis","submitted_at":"2026-07-16T12:51:45Z","abstract_excerpt":"We study causal inference under outcome interference for sequential, observational settings. Specifically, we consider settings where the binary outcomes over N units are Markovian across T time steps. At each time step, the outcomes of N units have dependencies captured through an Ising model; each outcome is also impacted through an external field capturing the effects of its treatment as well as latent confounders. Similar to panel data literature, these latent confounders are modeled to have a low-rank factor structure. Our data is a single sample from this high-dimensional distribution. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14940","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/2607.14940/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":"2026-07-17T01:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wj1b9jSGQf65tlCE7g/WU7fCSpNGkhdB4P9C3Wblqk/hhquQorVNKqeTTKEuUmcSVLkQeXvILCvLql0HtFbZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:28:27.251185Z"},"content_sha256":"fa21b61600b0d43c55a55610ca1f6213a69811cf7e940578888c04ff3328f532","schema_version":"1.0","event_id":"sha256:fa21b61600b0d43c55a55610ca1f6213a69811cf7e940578888c04ff3328f532"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3YGQGTG4OURDFHUHGPK2CP5O4N/bundle.json","state_url":"https://pith.science/pith/3YGQGTG4OURDFHUHGPK2CP5O4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3YGQGTG4OURDFHUHGPK2CP5O4N/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":"2026-08-16T18:28:27Z","links":{"resolver":"https://pith.science/pith/3YGQGTG4OURDFHUHGPK2CP5O4N","bundle":"https://pith.science/pith/3YGQGTG4OURDFHUHGPK2CP5O4N/bundle.json","state":"https://pith.science/pith/3YGQGTG4OURDFHUHGPK2CP5O4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3YGQGTG4OURDFHUHGPK2CP5O4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3YGQGTG4OURDFHUHGPK2CP5O4N","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":"d4a770836995778dcecab5ac866596b0828b6ab57e77d0b80e77afe0fb363667","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T12:51:45Z","title_canon_sha256":"fa2c6114054d9a75f9cdf0a0a72f3cb137e809baf0dbc41938ed3d68c760a625"},"schema_version":"1.0","source":{"id":"2607.14940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14940","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14940v1","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14940","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"3YGQGTG4OURD","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"3YGQGTG4OURDFHUH","created_at":"2026-07-17T01:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"3YGQGTG4","created_at":"2026-07-17T01:22:00Z"}],"graph_snapshots":[{"event_id":"sha256:fa21b61600b0d43c55a55610ca1f6213a69811cf7e940578888c04ff3328f532","target":"graph","created_at":"2026-07-17T01:22:00Z","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/2607.14940/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study causal inference under outcome interference for sequential, observational settings. Specifically, we consider settings where the binary outcomes over N units are Markovian across T time steps. At each time step, the outcomes of N units have dependencies captured through an Ising model; each outcome is also impacted through an external field capturing the effects of its treatment as well as latent confounders. Similar to panel data literature, these latent confounders are modeled to have a low-rank factor structure. Our data is a single sample from this high-dimensional distribution. T","authors_text":"Constantinos Daskalakis, Devavrat Shah, Phevos Paschalidis","cross_cats":["math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T12:51:45Z","title":"Causal Inference for Sequential Settings under Interference and Latent Confounding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14940","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":"sha256:7844211ee0b389b3a5b3533e882f6da0919b48449af709aa89803e98cd65e7a5","target":"record","created_at":"2026-07-17T01:22:00Z","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":"d4a770836995778dcecab5ac866596b0828b6ab57e77d0b80e77afe0fb363667","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T12:51:45Z","title_canon_sha256":"fa2c6114054d9a75f9cdf0a0a72f3cb137e809baf0dbc41938ed3d68c760a625"},"schema_version":"1.0","source":{"id":"2607.14940","kind":"arxiv","version":1}},"canonical_sha256":"de0d034cdc7522329e8733d5a13faee359e0e278b622156c3b84234096d70f8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de0d034cdc7522329e8733d5a13faee359e0e278b622156c3b84234096d70f8e","first_computed_at":"2026-07-17T01:22:00.218371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:22:00.218371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pa9dvgc79S32czzWoqljg9px6otsbcrNiaDyO6SWNSPCKMDwG9GLyS8oBfNxo4SgvImrHPe8ARleryd3STSpBQ==","signature_status":"signed_v1","signed_at":"2026-07-17T01:22:00.219346Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7844211ee0b389b3a5b3533e882f6da0919b48449af709aa89803e98cd65e7a5","sha256:fa21b61600b0d43c55a55610ca1f6213a69811cf7e940578888c04ff3328f532"],"state_sha256":"ebb7b5cabffec39de7e06cec28f55576e2df3af0ed4237c5521f048b306aff51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0B1uiuRNyx0BTJ07+tf1f7ZNQSCcyB2hWdO2kOgnW2qYUifl+TX3MZ42W6WU0ZfSaG61z0zuKM1r6Dw6wcGhDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T18:28:27.331929Z","bundle_sha256":"a8bfec1fcdcf4543ce99e3012cf208530754ebbb202045fb18cd73dbbcb7c58d"}}