{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VI4SBPIMOWLHKZK32DDUHLHUBM","short_pith_number":"pith:VI4SBPIM","canonical_record":{"source":{"id":"2509.06518","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.CL","submitted_at":"2025-09-08T10:24:19Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c6ca99f0b21d5124253fe1068924d08636c94f31a76ecd7d74a538b780c1d0bd","abstract_canon_sha256":"3fa3276b2e6c41d8039353636530bc590a0de7deb8d7ec517413ef383e1a24e5"},"schema_version":"1.0"},"canonical_sha256":"aa3920bd0c759675655bd0c743acf40b2e24038d090d529f49297edd230723ed","source":{"kind":"arxiv","id":"2509.06518","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.06518","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"arxiv_version","alias_value":"2509.06518v1","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.06518","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"pith_short_12","alias_value":"VI4SBPIMOWLH","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"pith_short_16","alias_value":"VI4SBPIMOWLHKZK3","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"pith_short_8","alias_value":"VI4SBPIM","created_at":"2026-07-05T12:06:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VI4SBPIMOWLHKZK32DDUHLHUBM","target":"record","payload":{"canonical_record":{"source":{"id":"2509.06518","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.CL","submitted_at":"2025-09-08T10:24:19Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c6ca99f0b21d5124253fe1068924d08636c94f31a76ecd7d74a538b780c1d0bd","abstract_canon_sha256":"3fa3276b2e6c41d8039353636530bc590a0de7deb8d7ec517413ef383e1a24e5"},"schema_version":"1.0"},"canonical_sha256":"aa3920bd0c759675655bd0c743acf40b2e24038d090d529f49297edd230723ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:06:37.427884Z","signature_b64":"MPc8QPQ+FX3LBUKvR2ioKQZoqZQ0nk+wr006eHAk8eFUwhIbOuR6Y0er5hK7ipFyJk/WLWTEBph7kQXNJqhWCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa3920bd0c759675655bd0c743acf40b2e24038d090d529f49297edd230723ed","last_reissued_at":"2026-07-05T12:06:37.427400Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:06:37.427400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.06518","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":"2026-07-05T12:06:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPQ6BoGNNZP4zhj4K3moKBcuB2LwgYWRHqCFHZw8Tseev5Pejt3H4WsA5Nny/6X3eT5F3AzZ/8p5EWEHaIwrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:09:50.893428Z"},"content_sha256":"e11d267b063cad92e0396bbd4449c8767ee9528f301e1b0dd9b2aa85afa1706b","schema_version":"1.0","event_id":"sha256:e11d267b063cad92e0396bbd4449c8767ee9528f301e1b0dd9b2aa85afa1706b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VI4SBPIMOWLHKZK32DDUHLHUBM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crown, Frame, Reverse: Layer-Wise Scaling Variants for LLM Pre-Training","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.CL","authors_text":"Andrei Baroian, Kasper Notebomer","submitted_at":"2025-09-08T10:24:19Z","abstract_excerpt":"Transformer-based language models traditionally use uniform (isotropic) layer sizes, yet they ignore the diverse functional roles that different depths can play and their computational capacity needs. Building on Layer-Wise Scaling (LWS) and pruning literature, we introduce three new LWS variants - Framed, Reverse, and Crown - that redistribute FFN widths and attention heads via two or three-point linear interpolation in the pre-training stage. We present the first systematic ablation of LWS and its variants, on a fixed budget of 180M parameters, trained on 5B tokens. All models converge to si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.06518","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/2509.06518/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":"2026-07-05T12:06:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZNDeJ1RG5ZznCAMvYKH5wE1rRW2rQDj+QBYr6niPxdAyt9Kp6Da1RNPFb9lM/1T4QResEjZLFcnRgIjvATnjAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:09:50.893765Z"},"content_sha256":"c9a8c66ed0f55cc3b3d689f68b4353c4cdc7a36926738d8d8e6ade4fb541e9ba","schema_version":"1.0","event_id":"sha256:c9a8c66ed0f55cc3b3d689f68b4353c4cdc7a36926738d8d8e6ade4fb541e9ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VI4SBPIMOWLHKZK32DDUHLHUBM/bundle.json","state_url":"https://pith.science/pith/VI4SBPIMOWLHKZK32DDUHLHUBM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VI4SBPIMOWLHKZK32DDUHLHUBM/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":"2026-08-06T01:09:50Z","links":{"resolver":"https://pith.science/pith/VI4SBPIMOWLHKZK32DDUHLHUBM","bundle":"https://pith.science/pith/VI4SBPIMOWLHKZK32DDUHLHUBM/bundle.json","state":"https://pith.science/pith/VI4SBPIMOWLHKZK32DDUHLHUBM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VI4SBPIMOWLHKZK32DDUHLHUBM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VI4SBPIMOWLHKZK32DDUHLHUBM","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":"3fa3276b2e6c41d8039353636530bc590a0de7deb8d7ec517413ef383e1a24e5","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.CL","submitted_at":"2025-09-08T10:24:19Z","title_canon_sha256":"c6ca99f0b21d5124253fe1068924d08636c94f31a76ecd7d74a538b780c1d0bd"},"schema_version":"1.0","source":{"id":"2509.06518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.06518","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"arxiv_version","alias_value":"2509.06518v1","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.06518","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"pith_short_12","alias_value":"VI4SBPIMOWLH","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"pith_short_16","alias_value":"VI4SBPIMOWLHKZK3","created_at":"2026-07-05T12:06:37Z"},{"alias_kind":"pith_short_8","alias_value":"VI4SBPIM","created_at":"2026-07-05T12:06:37Z"}],"graph_snapshots":[{"event_id":"sha256:c9a8c66ed0f55cc3b3d689f68b4353c4cdc7a36926738d8d8e6ade4fb541e9ba","target":"graph","created_at":"2026-07-05T12:06:37Z","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/2509.06518/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Transformer-based language models traditionally use uniform (isotropic) layer sizes, yet they ignore the diverse functional roles that different depths can play and their computational capacity needs. Building on Layer-Wise Scaling (LWS) and pruning literature, we introduce three new LWS variants - Framed, Reverse, and Crown - that redistribute FFN widths and attention heads via two or three-point linear interpolation in the pre-training stage. We present the first systematic ablation of LWS and its variants, on a fixed budget of 180M parameters, trained on 5B tokens. All models converge to si","authors_text":"Andrei Baroian, Kasper Notebomer","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.CL","submitted_at":"2025-09-08T10:24:19Z","title":"Crown, Frame, Reverse: Layer-Wise Scaling Variants for LLM Pre-Training"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.06518","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:e11d267b063cad92e0396bbd4449c8767ee9528f301e1b0dd9b2aa85afa1706b","target":"record","created_at":"2026-07-05T12:06:37Z","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":"3fa3276b2e6c41d8039353636530bc590a0de7deb8d7ec517413ef383e1a24e5","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.CL","submitted_at":"2025-09-08T10:24:19Z","title_canon_sha256":"c6ca99f0b21d5124253fe1068924d08636c94f31a76ecd7d74a538b780c1d0bd"},"schema_version":"1.0","source":{"id":"2509.06518","kind":"arxiv","version":1}},"canonical_sha256":"aa3920bd0c759675655bd0c743acf40b2e24038d090d529f49297edd230723ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa3920bd0c759675655bd0c743acf40b2e24038d090d529f49297edd230723ed","first_computed_at":"2026-07-05T12:06:37.427400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:06:37.427400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MPc8QPQ+FX3LBUKvR2ioKQZoqZQ0nk+wr006eHAk8eFUwhIbOuR6Y0er5hK7ipFyJk/WLWTEBph7kQXNJqhWCA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:06:37.427884Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.06518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e11d267b063cad92e0396bbd4449c8767ee9528f301e1b0dd9b2aa85afa1706b","sha256:c9a8c66ed0f55cc3b3d689f68b4353c4cdc7a36926738d8d8e6ade4fb541e9ba"],"state_sha256":"0cffa6a914284efb7ff2aeb52bac39152b8233375311414e4531b3b93bb064d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9IXVf+TQQV3OtCNxxx69u4t8CppUu9+Xg4Utj9sDsB9IMilV7w48hJzYPr2Dy2lc+epimBhjbKNbqwxbahAcAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T01:09:50.898118Z","bundle_sha256":"b7fb5e7e0597c04c359a720db19af13d6d5254c5908c4c84cd2e6c4d1963d0ae"}}