{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HJIUV4LG2TVFCWPR24TCK7J4IY","short_pith_number":"pith:HJIUV4LG","canonical_record":{"source":{"id":"2606.01329","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T16:31:16Z","cross_cats_sorted":["q-bio.BM"],"title_canon_sha256":"ac0a187ae4aebb69ae45063c98b1062c7ec0422f0878a30e7ecdb9e93d607fb4","abstract_canon_sha256":"3a63e1d6355b5850ba4eb972da12aa7cc7ad8b7ed330d3088e19c80888cef2b8"},"schema_version":"1.0"},"canonical_sha256":"3a514af166d4ea5159f1d726257d3c462e2b4ffe2aa824432bfdd535efbbedbe","source":{"kind":"arxiv","id":"2606.01329","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01329","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01329v1","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01329","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"HJIUV4LG2TVF","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"pith_short_16","alias_value":"HJIUV4LG2TVFCWPR","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"pith_short_8","alias_value":"HJIUV4LG","created_at":"2026-06-02T02:04:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HJIUV4LG2TVFCWPR24TCK7J4IY","target":"record","payload":{"canonical_record":{"source":{"id":"2606.01329","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T16:31:16Z","cross_cats_sorted":["q-bio.BM"],"title_canon_sha256":"ac0a187ae4aebb69ae45063c98b1062c7ec0422f0878a30e7ecdb9e93d607fb4","abstract_canon_sha256":"3a63e1d6355b5850ba4eb972da12aa7cc7ad8b7ed330d3088e19c80888cef2b8"},"schema_version":"1.0"},"canonical_sha256":"3a514af166d4ea5159f1d726257d3c462e2b4ffe2aa824432bfdd535efbbedbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:04:30.406106Z","signature_b64":"aMFwNTxPZLAJhzbVCFYqUTXfaKmdfXLCisnrwNZgY4bBl6hkn5RWlMqDnSIifRrnluwB3+pYqbmSNdApNNi6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a514af166d4ea5159f1d726257d3c462e2b4ffe2aa824432bfdd535efbbedbe","last_reissued_at":"2026-06-02T02:04:30.405617Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:04:30.405617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.01329","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":"2026-06-02T02:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/sVfm2cV5IDGnLgsge3q8bC18TKzNRSlYPVE+CJmfElzN3zyqMVBI5GT0sLyn/MT4vpiboGG7xfEJznwAIxtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T23:47:35.354107Z"},"content_sha256":"49f53d7dba45da3269ddfd9a12206649e82e12d77fb4701ad89a65d76b7a345c","schema_version":"1.0","event_id":"sha256:49f53d7dba45da3269ddfd9a12206649e82e12d77fb4701ad89a65d76b7a345c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HJIUV4LG2TVFCWPR24TCK7J4IY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditioned free-energy density of proteins using unbalanced solutions to constraint satisfaction problems","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["q-bio.BM"],"primary_cat":"cs.LG","authors_text":"Pratik Worah, Srinivasa Varadhan, Subhash Khot","submitted_at":"2026-05-31T16:31:16Z","abstract_excerpt":"We show that computing the log-partition function (free-energy) of conditioned inhomogeneous Curie--Weiss spin Hamiltonians reduces to an unbalanced $2 \\to 1$ norm computation, and design a polynomial-time SDP algorithm for this problem with a lower bound proof for the amount of unbalance achieved. Applied to the protein Ubiquitin, the framework starts from a known crystal structure, explores alternative backbone conformations across the free-energy landscape, and identifies flexible regions of the protein while preserving its native secondary structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01329","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/2606.01329/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":"2026-06-02T02:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYl9mokyPywC9qGbp95kV1Zz/eE6f5Xkj5VuV8behsqkq4I/RHMbm9w2wYXEL7HYQyKcwr8taVZLrqFUpEOeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T23:47:35.354506Z"},"content_sha256":"6e855ccd20fb375b20e945475d90bb3673b0d5128e7d6eb84f7b37130d32171c","schema_version":"1.0","event_id":"sha256:6e855ccd20fb375b20e945475d90bb3673b0d5128e7d6eb84f7b37130d32171c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJIUV4LG2TVFCWPR24TCK7J4IY/bundle.json","state_url":"https://pith.science/pith/HJIUV4LG2TVFCWPR24TCK7J4IY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJIUV4LG2TVFCWPR24TCK7J4IY/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":"2026-06-23T23:47:35Z","links":{"resolver":"https://pith.science/pith/HJIUV4LG2TVFCWPR24TCK7J4IY","bundle":"https://pith.science/pith/HJIUV4LG2TVFCWPR24TCK7J4IY/bundle.json","state":"https://pith.science/pith/HJIUV4LG2TVFCWPR24TCK7J4IY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJIUV4LG2TVFCWPR24TCK7J4IY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HJIUV4LG2TVFCWPR24TCK7J4IY","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":"3a63e1d6355b5850ba4eb972da12aa7cc7ad8b7ed330d3088e19c80888cef2b8","cross_cats_sorted":["q-bio.BM"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T16:31:16Z","title_canon_sha256":"ac0a187ae4aebb69ae45063c98b1062c7ec0422f0878a30e7ecdb9e93d607fb4"},"schema_version":"1.0","source":{"id":"2606.01329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01329","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01329v1","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01329","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"HJIUV4LG2TVF","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"pith_short_16","alias_value":"HJIUV4LG2TVFCWPR","created_at":"2026-06-02T02:04:30Z"},{"alias_kind":"pith_short_8","alias_value":"HJIUV4LG","created_at":"2026-06-02T02:04:30Z"}],"graph_snapshots":[{"event_id":"sha256:6e855ccd20fb375b20e945475d90bb3673b0d5128e7d6eb84f7b37130d32171c","target":"graph","created_at":"2026-06-02T02:04:30Z","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/2606.01329/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that computing the log-partition function (free-energy) of conditioned inhomogeneous Curie--Weiss spin Hamiltonians reduces to an unbalanced $2 \\to 1$ norm computation, and design a polynomial-time SDP algorithm for this problem with a lower bound proof for the amount of unbalance achieved. Applied to the protein Ubiquitin, the framework starts from a known crystal structure, explores alternative backbone conformations across the free-energy landscape, and identifies flexible regions of the protein while preserving its native secondary structure.","authors_text":"Pratik Worah, Srinivasa Varadhan, Subhash Khot","cross_cats":["q-bio.BM"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T16:31:16Z","title":"Conditioned free-energy density of proteins using unbalanced solutions to constraint satisfaction problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01329","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":"sha256:49f53d7dba45da3269ddfd9a12206649e82e12d77fb4701ad89a65d76b7a345c","target":"record","created_at":"2026-06-02T02:04:30Z","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":"3a63e1d6355b5850ba4eb972da12aa7cc7ad8b7ed330d3088e19c80888cef2b8","cross_cats_sorted":["q-bio.BM"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-31T16:31:16Z","title_canon_sha256":"ac0a187ae4aebb69ae45063c98b1062c7ec0422f0878a30e7ecdb9e93d607fb4"},"schema_version":"1.0","source":{"id":"2606.01329","kind":"arxiv","version":1}},"canonical_sha256":"3a514af166d4ea5159f1d726257d3c462e2b4ffe2aa824432bfdd535efbbedbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a514af166d4ea5159f1d726257d3c462e2b4ffe2aa824432bfdd535efbbedbe","first_computed_at":"2026-06-02T02:04:30.405617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:30.405617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aMFwNTxPZLAJhzbVCFYqUTXfaKmdfXLCisnrwNZgY4bBl6hkn5RWlMqDnSIifRrnluwB3+pYqbmSNdApNNi6Bg==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:30.406106Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.01329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49f53d7dba45da3269ddfd9a12206649e82e12d77fb4701ad89a65d76b7a345c","sha256:6e855ccd20fb375b20e945475d90bb3673b0d5128e7d6eb84f7b37130d32171c"],"state_sha256":"aa8092079aebf12260aa3e3e5ddcb25925f21dbc46141a5c4c33eb1d68bc677c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fMa3g34q8ejPiPgj8GCjzH32uJU+ujAjciQUWFw93p8sfQm13uOZJm9Y9LdSwD0hbkt7viWqN/pAnirHUjUPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T23:47:35.356652Z","bundle_sha256":"23500e4aaff43ae2490d9181feabf70ad622f1cd96118d2a19fcdc1f765bd585"}}