{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EOHBJ7MRTCCLPUUO7DS7Y4ZUOB","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":"5b40f31959c6f08d188e458e3869964bd8fe4b45fe330dd3f54b3625511156bf","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-31T22:12:45Z","title_canon_sha256":"c8e10de760b47b81e7d9a55c21cbfcb2b3372f523b9aece81abcd56eafd634fe"},"schema_version":"1.0","source":{"id":"2501.00659","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00659","created_at":"2026-07-05T11:13:17Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00659v2","created_at":"2026-07-05T11:13:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00659","created_at":"2026-07-05T11:13:17Z"},{"alias_kind":"pith_short_12","alias_value":"EOHBJ7MRTCCL","created_at":"2026-07-05T11:13:17Z"},{"alias_kind":"pith_short_16","alias_value":"EOHBJ7MRTCCLPUUO","created_at":"2026-07-05T11:13:17Z"},{"alias_kind":"pith_short_8","alias_value":"EOHBJ7MR","created_at":"2026-07-05T11:13:17Z"}],"graph_snapshots":[{"event_id":"sha256:77016bc561075baea8854b92784b2d5e2accacf9de10fa837bea543ae4ac8dc7","target":"graph","created_at":"2026-07-05T11:13:17Z","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/2501.00659/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Do autoregressive Transformer language models require explicit positional encodings (PEs)? The answer is 'no' provided they have more than one layer -- they can distinguish sequences with permuted tokens without the need for explicit PEs. This follows from the fact that a cascade of (permutation invariant) set processors can collectively exhibit sequence-sensitive behavior in the autoregressive setting. This property has been known since early efforts (contemporary with GPT-2) adopting the Transformer for language modeling. However, this result does not appear to have been well disseminated, l","authors_text":"Kazuki Irie","cross_cats":["cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-31T22:12:45Z","title":"Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00659","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":"sha256:789ffc5292dbe798cbaca575b9a1c3b529d8540d68b7e73a74836631e927f320","target":"record","created_at":"2026-07-05T11:13:17Z","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":"5b40f31959c6f08d188e458e3869964bd8fe4b45fe330dd3f54b3625511156bf","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-31T22:12:45Z","title_canon_sha256":"c8e10de760b47b81e7d9a55c21cbfcb2b3372f523b9aece81abcd56eafd634fe"},"schema_version":"1.0","source":{"id":"2501.00659","kind":"arxiv","version":2}},"canonical_sha256":"238e14fd919884b7d28ef8e5fc7334704bcaf5416dae7f347e619b955f85e459","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"238e14fd919884b7d28ef8e5fc7334704bcaf5416dae7f347e619b955f85e459","first_computed_at":"2026-07-05T11:13:17.923225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:13:17.923225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VuvpGyFJjFZfhc/rvV/18E5kn3KWEXQvGHtbWmc3MKnMMejBV5kXsArKHJBLmvkqQY/G/U/QldXkCJbU3zF8CA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:13:17.923681Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.00659","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:789ffc5292dbe798cbaca575b9a1c3b529d8540d68b7e73a74836631e927f320","sha256:77016bc561075baea8854b92784b2d5e2accacf9de10fa837bea543ae4ac8dc7"],"state_sha256":"aabd8773bf80a7e117453c3ecf445358c6b00a689217eb1093a3f8b3ad16f846"}