{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3TVLNX34AO4WU5GEAKR5EMM3IO","short_pith_number":"pith:3TVLNX34","canonical_record":{"source":{"id":"1808.09438","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T17:54:19Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"52215389f56403e9514ffc37d9e5f3900a3e2159f6aca9eaa65d6f36937a976f","abstract_canon_sha256":"598abe17d3cc75f97d992d69657a14606645e36ecaed11e18c647cc23749de48"},"schema_version":"1.0"},"canonical_sha256":"dceab6df7c03b96a74c402a3d2319b43b5387e066ef4c8f5b37fc603fcdd362c","source":{"kind":"arxiv","id":"1808.09438","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09438","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09438v4","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09438","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"pith_short_12","alias_value":"3TVLNX34AO4W","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"pith_short_16","alias_value":"3TVLNX34AO4WU5GE","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"pith_short_8","alias_value":"3TVLNX34","created_at":"2026-07-05T08:09:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3TVLNX34AO4WU5GEAKR5EMM3IO","target":"record","payload":{"canonical_record":{"source":{"id":"1808.09438","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T17:54:19Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"52215389f56403e9514ffc37d9e5f3900a3e2159f6aca9eaa65d6f36937a976f","abstract_canon_sha256":"598abe17d3cc75f97d992d69657a14606645e36ecaed11e18c647cc23749de48"},"schema_version":"1.0"},"canonical_sha256":"dceab6df7c03b96a74c402a3d2319b43b5387e066ef4c8f5b37fc603fcdd362c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:09:39.526117Z","signature_b64":"wt2GyawBtmXho6O2ASs67DtT79ZU4g4KJSJTE13l3OWuXNDT/4nyT2WdAic1B5zOUKSQURemW38JW3FlmIkoBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dceab6df7c03b96a74c402a3d2319b43b5387e066ef4c8f5b37fc603fcdd362c","last_reissued_at":"2026-07-05T08:09:39.525598Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:09:39.525598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.09438","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:09:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QEA8hjvZ7noalmdvyYJfcauLWTH7qjzsKhpXgZjCSFlFZf6ORlLVDl3b5S3cB+o77cxS9M9Xf6p18wXvtBMABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:43:53.886194Z"},"content_sha256":"01879c58804f04620bc3cce82ca929ae0dde3e4c3b0fd1ec85638eece38889e3","schema_version":"1.0","event_id":"sha256:01879c58804f04620bc3cce82ca929ae0dde3e4c3b0fd1ec85638eece38889e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3TVLNX34AO4WU5GEAKR5EMM3IO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossing Probabilities of Multiple Ising Interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Eveliina Peltola, Hao Wu","submitted_at":"2018-08-28T17:54:19Z","abstract_excerpt":"We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLE(\\kappa) with \\kappa=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09438","kind":"arxiv","version":4},"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/1808.09438/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":"2026-07-05T08:09:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"699HHtFLDpOb4/3tQJZb8a7p9+ma2GfD9isFNn+V/+W0d3AnKbiCSm0JDMTNOZsuv652xc5BDdNPw6+psRlIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:43:53.886709Z"},"content_sha256":"e121e9efc4986f8ae4678464019e5f97c79536c5ebc1773f03136fa34dea9edb","schema_version":"1.0","event_id":"sha256:e121e9efc4986f8ae4678464019e5f97c79536c5ebc1773f03136fa34dea9edb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3TVLNX34AO4WU5GEAKR5EMM3IO/bundle.json","state_url":"https://pith.science/pith/3TVLNX34AO4WU5GEAKR5EMM3IO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3TVLNX34AO4WU5GEAKR5EMM3IO/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":"2026-08-16T22:43:53Z","links":{"resolver":"https://pith.science/pith/3TVLNX34AO4WU5GEAKR5EMM3IO","bundle":"https://pith.science/pith/3TVLNX34AO4WU5GEAKR5EMM3IO/bundle.json","state":"https://pith.science/pith/3TVLNX34AO4WU5GEAKR5EMM3IO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3TVLNX34AO4WU5GEAKR5EMM3IO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3TVLNX34AO4WU5GEAKR5EMM3IO","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":"598abe17d3cc75f97d992d69657a14606645e36ecaed11e18c647cc23749de48","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T17:54:19Z","title_canon_sha256":"52215389f56403e9514ffc37d9e5f3900a3e2159f6aca9eaa65d6f36937a976f"},"schema_version":"1.0","source":{"id":"1808.09438","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09438","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09438v4","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09438","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"pith_short_12","alias_value":"3TVLNX34AO4W","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"pith_short_16","alias_value":"3TVLNX34AO4WU5GE","created_at":"2026-07-05T08:09:39Z"},{"alias_kind":"pith_short_8","alias_value":"3TVLNX34","created_at":"2026-07-05T08:09:39Z"}],"graph_snapshots":[{"event_id":"sha256:e121e9efc4986f8ae4678464019e5f97c79536c5ebc1773f03136fa34dea9edb","target":"graph","created_at":"2026-07-05T08:09:39Z","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/1808.09438/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLE(\\kappa) with \\kappa=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.","authors_text":"Eveliina Peltola, Hao Wu","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T17:54:19Z","title":"Crossing Probabilities of Multiple Ising Interfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09438","kind":"arxiv","version":4},"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":"sha256:01879c58804f04620bc3cce82ca929ae0dde3e4c3b0fd1ec85638eece38889e3","target":"record","created_at":"2026-07-05T08:09:39Z","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":"598abe17d3cc75f97d992d69657a14606645e36ecaed11e18c647cc23749de48","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-28T17:54:19Z","title_canon_sha256":"52215389f56403e9514ffc37d9e5f3900a3e2159f6aca9eaa65d6f36937a976f"},"schema_version":"1.0","source":{"id":"1808.09438","kind":"arxiv","version":4}},"canonical_sha256":"dceab6df7c03b96a74c402a3d2319b43b5387e066ef4c8f5b37fc603fcdd362c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dceab6df7c03b96a74c402a3d2319b43b5387e066ef4c8f5b37fc603fcdd362c","first_computed_at":"2026-07-05T08:09:39.525598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:09:39.525598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wt2GyawBtmXho6O2ASs67DtT79ZU4g4KJSJTE13l3OWuXNDT/4nyT2WdAic1B5zOUKSQURemW38JW3FlmIkoBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:09:39.526117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.09438","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01879c58804f04620bc3cce82ca929ae0dde3e4c3b0fd1ec85638eece38889e3","sha256:e121e9efc4986f8ae4678464019e5f97c79536c5ebc1773f03136fa34dea9edb"],"state_sha256":"a93a174be78353100e6c1cb6337a65a75e78e258600bedb3d832da552b294e7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KDdhApmEhhm6JCBsWRiUPQTG2SXjc47nOXHfPJZmhPVN7t0F7EVN88XM5Pnih9JXCAp9LNpHHSyYBQ8h6DwuBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T22:43:53.891455Z","bundle_sha256":"5760d54d4b7c557cd38da189594c4291d4a928cf867f04c6732b6b36b6268a44"}}