{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3BEHX7PIDZXLB5NYBCFT7ZRCFW","short_pith_number":"pith:3BEHX7PI","canonical_record":{"source":{"id":"2605.29387","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T05:41:36Z","cross_cats_sorted":["cs.AI","stat.ML"],"title_canon_sha256":"64772bb72cc8db17909ee82ec3d62ed792087fa8f8b30a5c9802e63457023ff6","abstract_canon_sha256":"5c314f317d19f3b91330f7e3e8d14c51b51a3d5040a2c288a21b6a9a32fa584b"},"schema_version":"1.0"},"canonical_sha256":"d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e","source":{"kind":"arxiv","id":"2605.29387","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29387","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29387v1","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29387","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"3BEHX7PIDZXL","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"pith_short_16","alias_value":"3BEHX7PIDZXLB5NY","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"pith_short_8","alias_value":"3BEHX7PI","created_at":"2026-05-29T01:05:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3BEHX7PIDZXLB5NYBCFT7ZRCFW","target":"record","payload":{"canonical_record":{"source":{"id":"2605.29387","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T05:41:36Z","cross_cats_sorted":["cs.AI","stat.ML"],"title_canon_sha256":"64772bb72cc8db17909ee82ec3d62ed792087fa8f8b30a5c9802e63457023ff6","abstract_canon_sha256":"5c314f317d19f3b91330f7e3e8d14c51b51a3d5040a2c288a21b6a9a32fa584b"},"schema_version":"1.0"},"canonical_sha256":"d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:05:36.422410Z","signature_b64":"mKh3U592MCI8VY1z11E21AM77nfcNj4Rii/NvkStk7QlVzwBhgirySBK2w5xBN7J0R10J848EupAqcgj6rP0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e","last_reissued_at":"2026-05-29T01:05:36.421927Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:05:36.421927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.29387","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":"2026-05-29T01:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iCQ2Mbbgme6UNyV/4yTjyQFMc+kW6usXuklKGKDN1EA7Ld6dRGtSlwC9+HCVO+qg5OBKVzivMFNZXfTDKkTgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:32:49.387081Z"},"content_sha256":"2b6eb047d25cb760d487c1add0b474c06999d181040546fa975e29a4720efd7a","schema_version":"1.0","event_id":"sha256:2b6eb047d25cb760d487c1add0b474c06999d181040546fa975e29a4720efd7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3BEHX7PIDZXLB5NYBCFT7ZRCFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Optimizer Dependence of Neural Scaling Laws","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","stat.ML"],"primary_cat":"cs.LG","authors_text":"Shourya Vir Jain, Vansh Ramani","submitted_at":"2026-05-28T05:41:36Z","abstract_excerpt":"The scaling exponent $\\alpha$ in neural scaling laws $L(N) \\propto N^{-\\alpha}$ is commonly treated as a fixed constant set by architecture and data. We present evidence that $\\alpha$ depends systematically on the optimizer. In controlled random-feature regression experiments -- the canonical theoretical framework for neural scaling -- we measure $\\alpha$ across five optimizer variants and six spectral conditions. Preconditioned optimizers consistently yield steeper scaling (larger $\\alpha$), with the $\\alpha$-shift increasing across most of the tested spectral range, peaking near $s = 1.5$, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29387","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/2605.29387/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":"2026-05-29T01:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fc4cq1yQjMeIWRLGtkhERVmM8EnR3Ae7IhHKRqPWU4CO4gPfmLs1rnghwPLto7TMuCqHEv5DwUfHHlUUVM1ACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:32:49.387473Z"},"content_sha256":"87ca4431daa317310126849b1ae60b885b0bc6dfebfd364e4e4953446864a35c","schema_version":"1.0","event_id":"sha256:87ca4431daa317310126849b1ae60b885b0bc6dfebfd364e4e4953446864a35c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW/bundle.json","state_url":"https://pith.science/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW/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":"2026-06-01T22:32:49Z","links":{"resolver":"https://pith.science/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW","bundle":"https://pith.science/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW/bundle.json","state":"https://pith.science/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BEHX7PIDZXLB5NYBCFT7ZRCFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3BEHX7PIDZXLB5NYBCFT7ZRCFW","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":"5c314f317d19f3b91330f7e3e8d14c51b51a3d5040a2c288a21b6a9a32fa584b","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T05:41:36Z","title_canon_sha256":"64772bb72cc8db17909ee82ec3d62ed792087fa8f8b30a5c9802e63457023ff6"},"schema_version":"1.0","source":{"id":"2605.29387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29387","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29387v1","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29387","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"3BEHX7PIDZXL","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"pith_short_16","alias_value":"3BEHX7PIDZXLB5NY","created_at":"2026-05-29T01:05:36Z"},{"alias_kind":"pith_short_8","alias_value":"3BEHX7PI","created_at":"2026-05-29T01:05:36Z"}],"graph_snapshots":[{"event_id":"sha256:87ca4431daa317310126849b1ae60b885b0bc6dfebfd364e4e4953446864a35c","target":"graph","created_at":"2026-05-29T01:05:36Z","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/2605.29387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The scaling exponent $\\alpha$ in neural scaling laws $L(N) \\propto N^{-\\alpha}$ is commonly treated as a fixed constant set by architecture and data. We present evidence that $\\alpha$ depends systematically on the optimizer. In controlled random-feature regression experiments -- the canonical theoretical framework for neural scaling -- we measure $\\alpha$ across five optimizer variants and six spectral conditions. Preconditioned optimizers consistently yield steeper scaling (larger $\\alpha$), with the $\\alpha$-shift increasing across most of the tested spectral range, peaking near $s = 1.5$, a","authors_text":"Shourya Vir Jain, Vansh Ramani","cross_cats":["cs.AI","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T05:41:36Z","title":"On the Optimizer Dependence of Neural Scaling Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29387","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":"sha256:2b6eb047d25cb760d487c1add0b474c06999d181040546fa975e29a4720efd7a","target":"record","created_at":"2026-05-29T01:05:36Z","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":"5c314f317d19f3b91330f7e3e8d14c51b51a3d5040a2c288a21b6a9a32fa584b","cross_cats_sorted":["cs.AI","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-28T05:41:36Z","title_canon_sha256":"64772bb72cc8db17909ee82ec3d62ed792087fa8f8b30a5c9802e63457023ff6"},"schema_version":"1.0","source":{"id":"2605.29387","kind":"arxiv","version":1}},"canonical_sha256":"d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e","first_computed_at":"2026-05-29T01:05:36.421927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:05:36.421927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mKh3U592MCI8VY1z11E21AM77nfcNj4Rii/NvkStk7QlVzwBhgirySBK2w5xBN7J0R10J848EupAqcgj6rP0AA==","signature_status":"signed_v1","signed_at":"2026-05-29T01:05:36.422410Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.29387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b6eb047d25cb760d487c1add0b474c06999d181040546fa975e29a4720efd7a","sha256:87ca4431daa317310126849b1ae60b885b0bc6dfebfd364e4e4953446864a35c"],"state_sha256":"e3b8eb7893eff90db801655ba36ae0e3d863913dd5ed9c599e6ee6c92ba7cd9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"89BIr5ccq9OAetnCXuA3DWEnGplr6+BbXqhEkTI1OGtE3JGq1pJVwlKo63wRXgeAJ2TQV3bLF8zuNfwUU9P1Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:32:49.389398Z","bundle_sha256":"95aad085a8de876924ea4921d0993743d95e2f83673b9f6a82968d1eda303d7b"}}