{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LF4LSY7OI4WGL4FMEBPCFC3ODF","short_pith_number":"pith:LF4LSY7O","canonical_record":{"source":{"id":"2412.12720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-17T09:36:50Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"1ef9309bab4bfc4c101ecb26401f713a606583b4f0d9c052a817ee440359cbbb","abstract_canon_sha256":"481b5cdb2e149eba0aef9f1761b79c374fc33e015056c924fae959085f0306b9"},"schema_version":"1.0"},"canonical_sha256":"5978b963ee472c65f0ac205e228b6e197cfc074b5fe1f4094e306251ddc1a432","source":{"kind":"arxiv","id":"2412.12720","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.12720","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.12720v2","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.12720","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"pith_short_12","alias_value":"LF4LSY7OI4WG","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"pith_short_16","alias_value":"LF4LSY7OI4WGL4FM","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"pith_short_8","alias_value":"LF4LSY7O","created_at":"2026-07-05T10:16:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LF4LSY7OI4WGL4FMEBPCFC3ODF","target":"record","payload":{"canonical_record":{"source":{"id":"2412.12720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-17T09:36:50Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"1ef9309bab4bfc4c101ecb26401f713a606583b4f0d9c052a817ee440359cbbb","abstract_canon_sha256":"481b5cdb2e149eba0aef9f1761b79c374fc33e015056c924fae959085f0306b9"},"schema_version":"1.0"},"canonical_sha256":"5978b963ee472c65f0ac205e228b6e197cfc074b5fe1f4094e306251ddc1a432","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:16:40.313008Z","signature_b64":"cUI4yyEmcUluUFX6CasEDkG06uXGjn7NIou3l1dnW1Q5YBNbSGxXdQfKMi1VsIHHv0oISkBsPvVLg5c6qW8PBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5978b963ee472c65f0ac205e228b6e197cfc074b5fe1f4094e306251ddc1a432","last_reissued_at":"2026-07-05T10:16:40.312411Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:16:40.312411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.12720","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":"2026-07-05T10:16:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2lC/5DUKIM5ZhVpATOk+wPXAfpCbMPsP1jSSSeDHwWB1mBLi5HH5fFsw5d12yMRhBkSH8EL+qimlZfx6UmLoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:43:11.518670Z"},"content_sha256":"c0e7eeea4172d3d04e44e9ec90aa6f3124de006201fef79aba902d4497711546","schema_version":"1.0","event_id":"sha256:c0e7eeea4172d3d04e44e9ec90aa6f3124de006201fef79aba902d4497711546"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LF4LSY7OI4WGL4FMEBPCFC3ODF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"math.PR","authors_text":"Arianna Piana, Dan Mikulincer","submitted_at":"2024-12-17T09:36:50Z","abstract_excerpt":"We present generalizations and modifications of Eldan's Stochastic Localization process, extending it to incorporate non-Gaussian tilts, making it useful for a broader class of measures. As an application, we introduce new processes that enable the decomposition and analysis of non-quadratic potentials on the Boolean hypercube, with a specific focus on quartic polynomials. Using this framework, we derive new spectral gap estimates for tensor Ising models under Glauber dynamics, resulting in rapid mixing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.12720","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.12720/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":"2026-07-05T10:16:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"99wqxJEL4NDI6wfu0LzzijBwMQeQBd84zjN58FKsUVOltpTqTeVclNmKF8FjVkG0Wdnds5mrnedOKz+3W0p1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:43:11.519178Z"},"content_sha256":"7ac7ec0a5be0493e3107f301ef52d034b99d95d1543b0e2118a22974573a64ca","schema_version":"1.0","event_id":"sha256:7ac7ec0a5be0493e3107f301ef52d034b99d95d1543b0e2118a22974573a64ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF/bundle.json","state_url":"https://pith.science/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF/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":"2026-08-11T20:43:11Z","links":{"resolver":"https://pith.science/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF","bundle":"https://pith.science/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF/bundle.json","state":"https://pith.science/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LF4LSY7OI4WGL4FMEBPCFC3ODF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LF4LSY7OI4WGL4FMEBPCFC3ODF","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":"481b5cdb2e149eba0aef9f1761b79c374fc33e015056c924fae959085f0306b9","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-17T09:36:50Z","title_canon_sha256":"1ef9309bab4bfc4c101ecb26401f713a606583b4f0d9c052a817ee440359cbbb"},"schema_version":"1.0","source":{"id":"2412.12720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.12720","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"arxiv_version","alias_value":"2412.12720v2","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.12720","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"pith_short_12","alias_value":"LF4LSY7OI4WG","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"pith_short_16","alias_value":"LF4LSY7OI4WGL4FM","created_at":"2026-07-05T10:16:40Z"},{"alias_kind":"pith_short_8","alias_value":"LF4LSY7O","created_at":"2026-07-05T10:16:40Z"}],"graph_snapshots":[{"event_id":"sha256:7ac7ec0a5be0493e3107f301ef52d034b99d95d1543b0e2118a22974573a64ca","target":"graph","created_at":"2026-07-05T10:16:40Z","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/2412.12720/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present generalizations and modifications of Eldan's Stochastic Localization process, extending it to incorporate non-Gaussian tilts, making it useful for a broader class of measures. As an application, we introduce new processes that enable the decomposition and analysis of non-quadratic potentials on the Boolean hypercube, with a specific focus on quartic polynomials. Using this framework, we derive new spectral gap estimates for tensor Ising models under Glauber dynamics, resulting in rapid mixing.","authors_text":"Arianna Piana, Dan Mikulincer","cross_cats":["math-ph","math.FA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-17T09:36:50Z","title":"Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.12720","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:c0e7eeea4172d3d04e44e9ec90aa6f3124de006201fef79aba902d4497711546","target":"record","created_at":"2026-07-05T10:16:40Z","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":"481b5cdb2e149eba0aef9f1761b79c374fc33e015056c924fae959085f0306b9","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-17T09:36:50Z","title_canon_sha256":"1ef9309bab4bfc4c101ecb26401f713a606583b4f0d9c052a817ee440359cbbb"},"schema_version":"1.0","source":{"id":"2412.12720","kind":"arxiv","version":2}},"canonical_sha256":"5978b963ee472c65f0ac205e228b6e197cfc074b5fe1f4094e306251ddc1a432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5978b963ee472c65f0ac205e228b6e197cfc074b5fe1f4094e306251ddc1a432","first_computed_at":"2026-07-05T10:16:40.312411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:16:40.312411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cUI4yyEmcUluUFX6CasEDkG06uXGjn7NIou3l1dnW1Q5YBNbSGxXdQfKMi1VsIHHv0oISkBsPvVLg5c6qW8PBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:16:40.313008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.12720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0e7eeea4172d3d04e44e9ec90aa6f3124de006201fef79aba902d4497711546","sha256:7ac7ec0a5be0493e3107f301ef52d034b99d95d1543b0e2118a22974573a64ca"],"state_sha256":"16723c85a8e948aef13b9c83d8ba85b10f3dce33d741a832b96c1eb9a42357c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Wfvmi5JMUoZUuu/k54nms/Yb+0kXfXvwgsCj9qrhkys5hv3UBFey4KszZdtIYqNSXodBWA22llP8+OOtT9FBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T20:43:11.523948Z","bundle_sha256":"6225e1934fe3dadfa32d584dd2ac0328271d65ebb59b5326c041564e4ef040c9"}}