{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:TLPOOVCSXGDAIOH4I3GZI7V3SB","short_pith_number":"pith:TLPOOVCS","canonical_record":{"source":{"id":"2605.21488","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T17:59:48Z","cross_cats_sorted":[],"title_canon_sha256":"6446d5d90427000b49bf6a000417cf83b6cc4e4581b0a8d18b9a5075cf3b2d65","abstract_canon_sha256":"707a11b9e32da4e97a6fa8453d9275f043500f3fccc971edbf0eb99aa6532e7b"},"schema_version":"1.0"},"canonical_sha256":"9adee75452b9860438fc46cd947ebb9043832d57a9ddf93885a9be46e166ba37","source":{"kind":"arxiv","id":"2605.21488","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21488","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21488v1","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21488","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"TLPOOVCSXGDA","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"pith_short_16","alias_value":"TLPOOVCSXGDAIOH4","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"pith_short_8","alias_value":"TLPOOVCS","created_at":"2026-05-21T02:05:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:TLPOOVCSXGDAIOH4I3GZI7V3SB","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21488","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T17:59:48Z","cross_cats_sorted":[],"title_canon_sha256":"6446d5d90427000b49bf6a000417cf83b6cc4e4581b0a8d18b9a5075cf3b2d65","abstract_canon_sha256":"707a11b9e32da4e97a6fa8453d9275f043500f3fccc971edbf0eb99aa6532e7b"},"schema_version":"1.0"},"canonical_sha256":"9adee75452b9860438fc46cd947ebb9043832d57a9ddf93885a9be46e166ba37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T02:05:39.667193Z","signature_b64":"Bxk+KuEwB6QlX5UCxcDPsMqMCpsE6kXe0Q33uYU1npPpiHmiVQBi5HXWFg+LGUdSavVy17MYhJME0y6bqWXgBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9adee75452b9860438fc46cd947ebb9043832d57a9ddf93885a9be46e166ba37","last_reissued_at":"2026-05-21T02:05:39.666556Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T02:05:39.666556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21488","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":"2026-05-21T02:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XO+6hzz5u1Tu/XEszUKJdrjPzNQzULMXQQdVn+59AGMaOKcvk9mHxu0WjSddsAC5X9Bgq6cDOcG3oAO0EAlbBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:25:57.019919Z"},"content_sha256":"cc152dba19e37b7c12d426cbda8b6d247bb5e7456b11d22de55b23e8992cd656","schema_version":"1.0","event_id":"sha256:cc152dba19e37b7c12d426cbda8b6d247bb5e7456b11d22de55b23e8992cd656"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:TLPOOVCSXGDAIOH4I3GZI7V3SB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equilibrium Reasoners: Learning Attractors Enables Scalable Reasoning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Benhao Huang, Zhengyang Geng, Zico Kolter","submitted_at":"2026-05-20T17:59:48Z","abstract_excerpt":"Scaling test-time compute by iteratively updating a latent state has emerged as a powerful paradigm for reasoning. Yet the internal mechanisms that enable these iterative models to generalize beyond memorized patterns remain unclear. We hypothesize that generalizable reasoning arises from learning task-conditioned attractors: latent dynamical systems whose stable fixed points correspond to valid solutions.\n  We formalize this process through Equilibrium Reasoners (EqR), which enable test-time scaling without external verifiers or task-specific priors. EqR scales internal dynamics along two axe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21488","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/2605.21488/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":"2026-05-21T02:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TLlBbqPk1Co3NXGf9G7+/CY+5wMlUz9VycC0IvP/QY05L0kzdc287KbDJgENv25GWicHbmNc9jOYM3wX1xrzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:25:57.020356Z"},"content_sha256":"38216200ea0d3cd5c50d5d3f81fb42069a6cf7a78aae6cba8f3e577effd7ea91","schema_version":"1.0","event_id":"sha256:38216200ea0d3cd5c50d5d3f81fb42069a6cf7a78aae6cba8f3e577effd7ea91"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:TLPOOVCSXGDAIOH4I3GZI7V3SB","target":"integrity","payload":{"note":"URL 'https://huskydoge' returned status transport error (transport error: [Errno -3] Temporary failure in name resolution) at last check.","snippet":null,"arxiv_id":"2605.21488","detector":"external_links","evidence":{"url":"https://huskydoge","final_url":null,"host_kind":"website","status_code":0,"status_text":"transport error: [Errno -3] Temporary failure in name resolution","verdict_class":"incontrovertible","checked_at_unix":1779341496.025687},"severity":"advisory","ref_index":null,"audited_at":"2026-05-21T05:31:36.027713Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://huskydoge","finding_type":"dead_url","evidence_hash":"ba068f029a290ef08433115bff90c6b9cf135a03d60285178b0b51bc6f7bf7bb","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5692,"payload_sha256":"9c7837a83ad7197ed48a2cc50b339291c7e2b0366d1521e1e06b319aaeb09d32","signature_b64":"Y1ED0krOZ0hh//GjmqIWVWHokOSrpwDQ9K+1q+DO4fofbHRBAVlTH/Xq/C6SeTqipB7HpNgqWE1fIV1J0pQqDg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T05:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tvrjm8c6YI2tl/TqCe04fBSawLCvBmvt3vUMLgh3wmcb5GnngG3W/qr6lP//etiPIemV2thAOle6J3hsATn1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:25:57.021550Z"},"content_sha256":"6d55eb39195d38f74fe3c1fc041236540b6238540d002f930144c8cc7cf040e5","schema_version":"1.0","event_id":"sha256:6d55eb39195d38f74fe3c1fc041236540b6238540d002f930144c8cc7cf040e5"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:TLPOOVCSXGDAIOH4I3GZI7V3SB","target":"integrity","payload":{"note":"URL 'https://github.com/locuslab/EqR' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2605.21488","detector":"external_links","evidence":{"url":"https://github.com/locuslab/EqR","final_url":"https://github.com/locuslab/EqR","host_kind":"github","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1779341495.1681685},"severity":"critical","ref_index":null,"audited_at":"2026-05-21T05:31:36.027713Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://github.com/locuslab/EqR","finding_type":"dead_code_link","evidence_hash":"b8de835aa52b59cbb3f97e5f392427cebaa9ba61a1b03d9f4a4a1674dfca0e17","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5691,"payload_sha256":"82f1e93020e10cb5e242520f04dfe13039ced6e09ac7a157fd76785fc90da4b6","signature_b64":"1Amt08Wl3GC88BGSd5wJP+uKesO38+KX2lHK9qUMFsJ9SBbmnZ31rCSixl0r7EIv74yR6cR68qfEDll6fnSMAw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T05:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e2b5wpRB1SjECnS2opzHdOM2Oi/CE4nye+cZxmHMZQ3OmmS3oLwEZ2ymBexdpV8C0T0E7A9HN5lW5DIevOF+DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T09:25:57.021859Z"},"content_sha256":"8de3c7d00a39377f8fa99679c4a9505ce65d9577c71ff1499b4a6f476ef0ef36","schema_version":"1.0","event_id":"sha256:8de3c7d00a39377f8fa99679c4a9505ce65d9577c71ff1499b4a6f476ef0ef36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB/bundle.json","state_url":"https://pith.science/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB/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":"2026-05-21T09:25:57Z","links":{"resolver":"https://pith.science/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB","bundle":"https://pith.science/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB/bundle.json","state":"https://pith.science/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLPOOVCSXGDAIOH4I3GZI7V3SB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TLPOOVCSXGDAIOH4I3GZI7V3SB","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"707a11b9e32da4e97a6fa8453d9275f043500f3fccc971edbf0eb99aa6532e7b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T17:59:48Z","title_canon_sha256":"6446d5d90427000b49bf6a000417cf83b6cc4e4581b0a8d18b9a5075cf3b2d65"},"schema_version":"1.0","source":{"id":"2605.21488","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21488","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21488v1","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21488","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"TLPOOVCSXGDA","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"pith_short_16","alias_value":"TLPOOVCSXGDAIOH4","created_at":"2026-05-21T02:05:39Z"},{"alias_kind":"pith_short_8","alias_value":"TLPOOVCS","created_at":"2026-05-21T02:05:39Z"}],"graph_snapshots":[{"event_id":"sha256:38216200ea0d3cd5c50d5d3f81fb42069a6cf7a78aae6cba8f3e577effd7ea91","target":"graph","created_at":"2026-05-21T02:05:39Z","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/2605.21488/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Scaling test-time compute by iteratively updating a latent state has emerged as a powerful paradigm for reasoning. Yet the internal mechanisms that enable these iterative models to generalize beyond memorized patterns remain unclear. We hypothesize that generalizable reasoning arises from learning task-conditioned attractors: latent dynamical systems whose stable fixed points correspond to valid solutions.\n  We formalize this process through Equilibrium Reasoners (EqR), which enable test-time scaling without external verifiers or task-specific priors. EqR scales internal dynamics along two axe","authors_text":"Benhao Huang, Zhengyang Geng, Zico Kolter","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T17:59:48Z","title":"Equilibrium Reasoners: Learning Attractors Enables Scalable Reasoning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21488","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:cc152dba19e37b7c12d426cbda8b6d247bb5e7456b11d22de55b23e8992cd656","target":"record","created_at":"2026-05-21T02:05:39Z","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":"707a11b9e32da4e97a6fa8453d9275f043500f3fccc971edbf0eb99aa6532e7b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-20T17:59:48Z","title_canon_sha256":"6446d5d90427000b49bf6a000417cf83b6cc4e4581b0a8d18b9a5075cf3b2d65"},"schema_version":"1.0","source":{"id":"2605.21488","kind":"arxiv","version":1}},"canonical_sha256":"9adee75452b9860438fc46cd947ebb9043832d57a9ddf93885a9be46e166ba37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9adee75452b9860438fc46cd947ebb9043832d57a9ddf93885a9be46e166ba37","first_computed_at":"2026-05-21T02:05:39.666556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T02:05:39.666556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bxk+KuEwB6QlX5UCxcDPsMqMCpsE6kXe0Q33uYU1npPpiHmiVQBi5HXWFg+LGUdSavVy17MYhJME0y6bqWXgBg==","signature_status":"signed_v1","signed_at":"2026-05-21T02:05:39.667193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21488","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:6d55eb39195d38f74fe3c1fc041236540b6238540d002f930144c8cc7cf040e5","sha256:8de3c7d00a39377f8fa99679c4a9505ce65d9577c71ff1499b4a6f476ef0ef36"]}],"invalid_events":[],"applied_event_ids":["sha256:cc152dba19e37b7c12d426cbda8b6d247bb5e7456b11d22de55b23e8992cd656","sha256:38216200ea0d3cd5c50d5d3f81fb42069a6cf7a78aae6cba8f3e577effd7ea91"],"state_sha256":"9f4d2af3e2c6900d8ad8055946b07b463103d30843dabc8ef34cb4aef2b7f850"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q6PCYmPtLeSae77hbZ+EJQXu5dkJ83EOIyh0WgC+mGzhfAtFfzhNNSVjH9mzGYftcTgWA66fPwvDTEOBdZ81Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T09:25:57.024164Z","bundle_sha256":"fe20884245010e4faba3939f625390378e8759f79d04d8f7497b56fce1fdde6c"}}