{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DAHPFZPA7YDR64CMU74CPKWN7T","short_pith_number":"pith:DAHPFZPA","canonical_record":{"source":{"id":"1801.03828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-11T15:46:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d251353e3bcc8892aeaeafa4f3e6b12de1f5f062eaba79870a0f0b064741c652","abstract_canon_sha256":"9500a51e4759230ba27106fc791b5befe080b3718c539f8331f88875f7c75974"},"schema_version":"1.0"},"canonical_sha256":"180ef2e5e0fe071f704ca7f827aacdfcffb421c7e1f1a81f71392ea07dcde4f8","source":{"kind":"arxiv","id":"1801.03828","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03828","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03828v2","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03828","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"DAHPFZPA7YDR","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DAHPFZPA7YDR64CM","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DAHPFZPA","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DAHPFZPA7YDR64CMU74CPKWN7T","target":"record","payload":{"canonical_record":{"source":{"id":"1801.03828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-11T15:46:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d251353e3bcc8892aeaeafa4f3e6b12de1f5f062eaba79870a0f0b064741c652","abstract_canon_sha256":"9500a51e4759230ba27106fc791b5befe080b3718c539f8331f88875f7c75974"},"schema_version":"1.0"},"canonical_sha256":"180ef2e5e0fe071f704ca7f827aacdfcffb421c7e1f1a81f71392ea07dcde4f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:10.954468Z","signature_b64":"SXjnWFdjdVYJG1AfeUjHLgah3eXy3xjFVdwFasNayEbK7I4tUNHFpseaz2IpsBBjx/87wSbgWNDUWlB2grPCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"180ef2e5e0fe071f704ca7f827aacdfcffb421c7e1f1a81f71392ea07dcde4f8","last_reissued_at":"2026-05-18T00:17:10.953823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:10.953823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.03828","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4d0LQg41vktsH1P4n8Q/N+Hdw0RoeJZliAuUBPUJsyj8abdLbbCp1+vfQK7DJfRyAnJV90MqShKI4ztFmJPABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:01:27.698137Z"},"content_sha256":"c8c121195bee716dbe80b4eda8ffdffcad627ea26d971d2f2b47670e5d3cdfb7","schema_version":"1.0","event_id":"sha256:c8c121195bee716dbe80b4eda8ffdffcad627ea26d971d2f2b47670e5d3cdfb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DAHPFZPA7YDR64CMU74CPKWN7T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Avelio Sep\\'ulveda, Juhan Aru","submitted_at":"2018-01-11T15:46:22Z","abstract_excerpt":"We study two-valued local sets, $\\mathbb{A}_{-a,b}$, of the two-dimensional continuum Gaussian free field (GFF) with zero boundary condition in simply connected domains. Intuitively, $\\mathbb{A}_{-a,b}$ is the (random) set of points connected to the boundary by a path on which the values of the GFF remain in $[-a,b]$. For specific choices of the parameters $a, b$ the two-valued sets have the law of the CLE$_4$ carpet, the law of the union of level lines between all pairs of boundary points, or, conjecturally, the law of the interfaces of the scaling limit of XOR-Ising model.\n  Two-valued sets "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03828","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DB7BiQoas/g+zMCd7S7Jjf304Us79BSTByXwlKC99E/9zP4y+bIt6+n7bDeDxXlLwAtHdkry4InI+h6VRpL7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:01:27.698831Z"},"content_sha256":"1ce30d1533e5b5eb4a46a140f15588c0fde4c5ac53f7497ac1fed5e858586748","schema_version":"1.0","event_id":"sha256:1ce30d1533e5b5eb4a46a140f15588c0fde4c5ac53f7497ac1fed5e858586748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAHPFZPA7YDR64CMU74CPKWN7T/bundle.json","state_url":"https://pith.science/pith/DAHPFZPA7YDR64CMU74CPKWN7T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAHPFZPA7YDR64CMU74CPKWN7T/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":"2026-05-25T13:01:27Z","links":{"resolver":"https://pith.science/pith/DAHPFZPA7YDR64CMU74CPKWN7T","bundle":"https://pith.science/pith/DAHPFZPA7YDR64CMU74CPKWN7T/bundle.json","state":"https://pith.science/pith/DAHPFZPA7YDR64CMU74CPKWN7T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAHPFZPA7YDR64CMU74CPKWN7T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DAHPFZPA7YDR64CMU74CPKWN7T","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":"9500a51e4759230ba27106fc791b5befe080b3718c539f8331f88875f7c75974","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-11T15:46:22Z","title_canon_sha256":"d251353e3bcc8892aeaeafa4f3e6b12de1f5f062eaba79870a0f0b064741c652"},"schema_version":"1.0","source":{"id":"1801.03828","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03828","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03828v2","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03828","created_at":"2026-05-18T00:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"DAHPFZPA7YDR","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DAHPFZPA7YDR64CM","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DAHPFZPA","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:1ce30d1533e5b5eb4a46a140f15588c0fde4c5ac53f7497ac1fed5e858586748","target":"graph","created_at":"2026-05-18T00:17:10Z","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 study two-valued local sets, $\\mathbb{A}_{-a,b}$, of the two-dimensional continuum Gaussian free field (GFF) with zero boundary condition in simply connected domains. Intuitively, $\\mathbb{A}_{-a,b}$ is the (random) set of points connected to the boundary by a path on which the values of the GFF remain in $[-a,b]$. For specific choices of the parameters $a, b$ the two-valued sets have the law of the CLE$_4$ carpet, the law of the union of level lines between all pairs of boundary points, or, conjecturally, the law of the interfaces of the scaling limit of XOR-Ising model.\n  Two-valued sets ","authors_text":"Avelio Sep\\'ulveda, Juhan Aru","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-11T15:46:22Z","title":"Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03828","kind":"arxiv","version":2},"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:c8c121195bee716dbe80b4eda8ffdffcad627ea26d971d2f2b47670e5d3cdfb7","target":"record","created_at":"2026-05-18T00:17:10Z","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":"9500a51e4759230ba27106fc791b5befe080b3718c539f8331f88875f7c75974","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-01-11T15:46:22Z","title_canon_sha256":"d251353e3bcc8892aeaeafa4f3e6b12de1f5f062eaba79870a0f0b064741c652"},"schema_version":"1.0","source":{"id":"1801.03828","kind":"arxiv","version":2}},"canonical_sha256":"180ef2e5e0fe071f704ca7f827aacdfcffb421c7e1f1a81f71392ea07dcde4f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"180ef2e5e0fe071f704ca7f827aacdfcffb421c7e1f1a81f71392ea07dcde4f8","first_computed_at":"2026-05-18T00:17:10.953823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:10.953823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SXjnWFdjdVYJG1AfeUjHLgah3eXy3xjFVdwFasNayEbK7I4tUNHFpseaz2IpsBBjx/87wSbgWNDUWlB2grPCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:10.954468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.03828","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8c121195bee716dbe80b4eda8ffdffcad627ea26d971d2f2b47670e5d3cdfb7","sha256:1ce30d1533e5b5eb4a46a140f15588c0fde4c5ac53f7497ac1fed5e858586748"],"state_sha256":"e7db10a97030c3d8a7a0a561b0a1eddba8b6c46fa4fae2595470d3924eb7c93d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P2/9ij91aF42QQKLKOrSxRK5z57RWlNkLu8j2REYZS/gt/fzBGd5+avx7LOU6i2KR6tRlDhVg1ta3UMeB4SXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:01:27.702344Z","bundle_sha256":"d0c6917531365389b61ca615bf9f809e1a5ee86c99a1ee7bef3077e4b02fbec7"}}