{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ZIVMQLGNEA32P5Q5EJS7E3CN3B","short_pith_number":"pith:ZIVMQLGN","canonical_record":{"source":{"id":"2605.23315","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-22T07:32:07Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"6a7546a2c985f2580b3fc6cf88695b78ca02ec6932fbcf45a574e3eae8a64d2f","abstract_canon_sha256":"ac0ccd3b931d9c4c9aec507d7b84ae188e93fc88372708dfb9f8755e7e4c5e12"},"schema_version":"1.0"},"canonical_sha256":"ca2ac82ccd2037a7f61d2265f26c4dd862d429314f77469edab94ea01a74617a","source":{"kind":"arxiv","id":"2605.23315","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23315","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23315v1","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23315","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZIVMQLGNEA32","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"pith_short_16","alias_value":"ZIVMQLGNEA32P5Q5","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"pith_short_8","alias_value":"ZIVMQLGN","created_at":"2026-05-25T02:01:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ZIVMQLGNEA32P5Q5EJS7E3CN3B","target":"record","payload":{"canonical_record":{"source":{"id":"2605.23315","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-22T07:32:07Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"6a7546a2c985f2580b3fc6cf88695b78ca02ec6932fbcf45a574e3eae8a64d2f","abstract_canon_sha256":"ac0ccd3b931d9c4c9aec507d7b84ae188e93fc88372708dfb9f8755e7e4c5e12"},"schema_version":"1.0"},"canonical_sha256":"ca2ac82ccd2037a7f61d2265f26c4dd862d429314f77469edab94ea01a74617a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:48.568811Z","signature_b64":"kCJDpKNz9HfXxe6pEiB2DZjTVouRVMcWyleqc1felhRBoq+QTSkkEpUQevfsWC1+TCCXvYhGTwTbCw6sBnpuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca2ac82ccd2037a7f61d2265f26c4dd862d429314f77469edab94ea01a74617a","last_reissued_at":"2026-05-25T02:01:48.568034Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:48.568034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.23315","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":"2026-05-25T02:01:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2j+tyLVDEOs8YBTFdXUxcz2eRoqwqGqKSA0zrHC8nwGrDYb+GIWoS3VRBRGXiYhDdINJpMIHUjts4bJDacMzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:48:27.074704Z"},"content_sha256":"2218a24d022884307020d2a94245c8973ae5a8dcc83bd0050153073dd1d9936c","schema_version":"1.0","event_id":"sha256:2218a24d022884307020d2a94245c8973ae5a8dcc83bd0050153073dd1d9936c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ZIVMQLGNEA32P5Q5EJS7E3CN3B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Convergence Without Understanding: When Language Models Agree on Representations but Disagree on Reasoning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.CL","authors_text":"Dong Eui Chang, Muhammad Usama","submitted_at":"2026-05-22T07:32:07Z","abstract_excerpt":"Large language models trained under diverse objectives and architectures have been shown to develop increasingly similar internal representations, an observation formalized as the Platonic Representation Hypothesis. Whether this representational convergence extends to the reasoning processes that operate over shared representations remains untested. We evaluate representational similarity across 16 language models from 8 families (1.5B to 72B parameters) on 800 reasoning problems spanning mathematics, science, commonsense, and truthfulness, stratifying by problem difficulty, computational stag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23315","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/2605.23315/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":"2026-05-25T02:01:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6xe3JTo3VwFriXg65+ENr7lxH0ZHukxRoIbxAVD5K+XzrW8iZD3BDLzMHE/i4nrAApOjqjDdt+8a43li46QZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:48:27.075446Z"},"content_sha256":"07e0f6ea17cab8b65c217ccd25cc2608bf295bcb0c1a96dfcfdb489269e427df","schema_version":"1.0","event_id":"sha256:07e0f6ea17cab8b65c217ccd25cc2608bf295bcb0c1a96dfcfdb489269e427df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B/bundle.json","state_url":"https://pith.science/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B/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":"2026-05-27T04:48:27Z","links":{"resolver":"https://pith.science/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B","bundle":"https://pith.science/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B/bundle.json","state":"https://pith.science/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIVMQLGNEA32P5Q5EJS7E3CN3B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZIVMQLGNEA32P5Q5EJS7E3CN3B","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":"ac0ccd3b931d9c4c9aec507d7b84ae188e93fc88372708dfb9f8755e7e4c5e12","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-22T07:32:07Z","title_canon_sha256":"6a7546a2c985f2580b3fc6cf88695b78ca02ec6932fbcf45a574e3eae8a64d2f"},"schema_version":"1.0","source":{"id":"2605.23315","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23315","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23315v1","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23315","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZIVMQLGNEA32","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"pith_short_16","alias_value":"ZIVMQLGNEA32P5Q5","created_at":"2026-05-25T02:01:48Z"},{"alias_kind":"pith_short_8","alias_value":"ZIVMQLGN","created_at":"2026-05-25T02:01:48Z"}],"graph_snapshots":[{"event_id":"sha256:07e0f6ea17cab8b65c217ccd25cc2608bf295bcb0c1a96dfcfdb489269e427df","target":"graph","created_at":"2026-05-25T02:01:48Z","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/2605.23315/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models trained under diverse objectives and architectures have been shown to develop increasingly similar internal representations, an observation formalized as the Platonic Representation Hypothesis. Whether this representational convergence extends to the reasoning processes that operate over shared representations remains untested. We evaluate representational similarity across 16 language models from 8 families (1.5B to 72B parameters) on 800 reasoning problems spanning mathematics, science, commonsense, and truthfulness, stratifying by problem difficulty, computational stag","authors_text":"Dong Eui Chang, Muhammad Usama","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-22T07:32:07Z","title":"Convergence Without Understanding: When Language Models Agree on Representations but Disagree on Reasoning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23315","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":"sha256:2218a24d022884307020d2a94245c8973ae5a8dcc83bd0050153073dd1d9936c","target":"record","created_at":"2026-05-25T02:01:48Z","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":"ac0ccd3b931d9c4c9aec507d7b84ae188e93fc88372708dfb9f8755e7e4c5e12","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-22T07:32:07Z","title_canon_sha256":"6a7546a2c985f2580b3fc6cf88695b78ca02ec6932fbcf45a574e3eae8a64d2f"},"schema_version":"1.0","source":{"id":"2605.23315","kind":"arxiv","version":1}},"canonical_sha256":"ca2ac82ccd2037a7f61d2265f26c4dd862d429314f77469edab94ea01a74617a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca2ac82ccd2037a7f61d2265f26c4dd862d429314f77469edab94ea01a74617a","first_computed_at":"2026-05-25T02:01:48.568034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:48.568034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kCJDpKNz9HfXxe6pEiB2DZjTVouRVMcWyleqc1felhRBoq+QTSkkEpUQevfsWC1+TCCXvYhGTwTbCw6sBnpuAg==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:48.568811Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23315","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2218a24d022884307020d2a94245c8973ae5a8dcc83bd0050153073dd1d9936c","sha256:07e0f6ea17cab8b65c217ccd25cc2608bf295bcb0c1a96dfcfdb489269e427df"],"state_sha256":"b07dbbef5b877b8568f361b94d9bce30461ee1cb1795f3d4564e629d8e2e4365"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MveDNnqyq0RZXVdryqMHFAPwGxjdEYtc3hoPFQzzhfP/sSudYEtY+6TUpl19n15VsXVLnZ63WHBDu9o2FzheCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:48:27.079167Z","bundle_sha256":"456f07d0aa73eda83d6f29966a5e55977ac13ac69b53f7f5e8f9695689086b52"}}