{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4YTN3MUUIENL2ERSGBKJZPWJSJ","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":"39ffeb601d16f21228e83bf51b89770123278eb3e35acd44e9f53d7a1d9f825a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-15T10:20:18Z","title_canon_sha256":"dce6c415cb3c46c32f20b73917d1a40c5fa996a426ff739c50f37448a5685afc"},"schema_version":"1.0","source":{"id":"1607.04443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04443","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04443v1","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04443","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"4YTN3MUUIENL","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4YTN3MUUIENL2ERS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4YTN3MUU","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:7ffb442db4923be41e3033cbc5b17d379f0d07b7f31176c8636d2f457dc2ebb1","target":"graph","created_at":"2026-05-18T01:11:01Z","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"},"paper":{"abstract_excerpt":"We give an exact expression for the partition function of a continuous time DPRE on a two points state space.","authors_text":"Philippe Carmona (LMJL)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-15T10:20:18Z","title":"Directed polymer in random environment and two points state space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04443","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":"sha256:9e8a370726b10bc51e191f6e1a0436f5fdc0cdfe8362a8a054950c4ef3a64c38","target":"record","created_at":"2026-05-18T01:11:01Z","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":"39ffeb601d16f21228e83bf51b89770123278eb3e35acd44e9f53d7a1d9f825a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-15T10:20:18Z","title_canon_sha256":"dce6c415cb3c46c32f20b73917d1a40c5fa996a426ff739c50f37448a5685afc"},"schema_version":"1.0","source":{"id":"1607.04443","kind":"arxiv","version":1}},"canonical_sha256":"e626ddb294411abd123230549cbec99260d224a14376af17d9f6fe4f9fb1690d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e626ddb294411abd123230549cbec99260d224a14376af17d9f6fe4f9fb1690d","first_computed_at":"2026-05-18T01:11:01.210879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:01.210879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bVcyaIukYuuWo7gHHjGby+1Wk1oiq1d+/Cb6RyR4uV0UkjLkCQaTMMJTCD6MA2ApOIbErk0BDhKUBa/uhULnAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:01.211387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e8a370726b10bc51e191f6e1a0436f5fdc0cdfe8362a8a054950c4ef3a64c38","sha256:7ffb442db4923be41e3033cbc5b17d379f0d07b7f31176c8636d2f457dc2ebb1"],"state_sha256":"a090369339fc70e1e170177562f0ec5377709c5633310fed66b1258aaaf97df8"}