{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:SNTZPZRFUXY7GWP6URUOSH65FC","short_pith_number":"pith:SNTZPZRF","canonical_record":{"source":{"id":"2608.02064","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:08:58Z","cross_cats_sorted":["cs.AI","cs.CL"],"title_canon_sha256":"3db78f4d08d5970801e5787e838d80fc7c589fc403a11f001230a4b0d32f959e","abstract_canon_sha256":"dbebe50bfe786b70db0b4fc8364a4cd549d4373f6a87ba4893f491b264b068e8"},"schema_version":"1.0"},"canonical_sha256":"936797e625a5f1f359fea468e91fdd288a8425d64f592a45763738d80095d5c4","source":{"kind":"arxiv","id":"2608.02064","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02064","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02064v1","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02064","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"SNTZPZRFUXY7","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"pith_short_16","alias_value":"SNTZPZRFUXY7GWP6","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"pith_short_8","alias_value":"SNTZPZRF","created_at":"2026-08-04T02:10:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:SNTZPZRFUXY7GWP6URUOSH65FC","target":"record","payload":{"canonical_record":{"source":{"id":"2608.02064","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:08:58Z","cross_cats_sorted":["cs.AI","cs.CL"],"title_canon_sha256":"3db78f4d08d5970801e5787e838d80fc7c589fc403a11f001230a4b0d32f959e","abstract_canon_sha256":"dbebe50bfe786b70db0b4fc8364a4cd549d4373f6a87ba4893f491b264b068e8"},"schema_version":"1.0"},"canonical_sha256":"936797e625a5f1f359fea468e91fdd288a8425d64f592a45763738d80095d5c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:10:46.342911Z","signature_b64":"/ybMl6mJKcZNQEraaRVJsism6MxHnqyVsMAhEJe20inrkGQlpyJP455M0AOwRrkoIQAZziELCHIQdozHjO9nCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"936797e625a5f1f359fea468e91fdd288a8425d64f592a45763738d80095d5c4","last_reissued_at":"2026-08-04T02:10:46.341408Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:10:46.341408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.02064","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":"2026-08-04T02:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4pI6pBDOSSWBmQ+a0zcfMf+3jk2ZA6mo2Pe6B36z7Lwb8tRXkviXSXsDbKavRMCwDVQP7CWUL42bZ1uqF4tSBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:01:52.879876Z"},"content_sha256":"c4453f51b8daa7bb9e7dd950857344e7b9823005e21633bf3dba90724f56b9d5","schema_version":"1.0","event_id":"sha256:c4453f51b8daa7bb9e7dd950857344e7b9823005e21633bf3dba90724f56b9d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:SNTZPZRFUXY7GWP6URUOSH65FC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry-Guided Layerwise FFN Width Allocation in Transformers","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CL"],"primary_cat":"cs.LG","authors_text":"Mikhail Burtsev, Radu State, Timur Mudarisov","submitted_at":"2026-08-03T11:08:58Z","abstract_excerpt":"Feed-forward networks (FFNs) account for a large fraction of Transformer parameters, yet their hidden width is usually constant across depth. We ask whether this capacity can instead be allocated from a forward-pass measurement of layer behavior. We view each FFN as transporting a cloud of token representations and quantify the induced geometric change using correspondence-preserving shift, Gromov-Wasserstein distortion, and degree-one persistent homology under raw and scale-normalized metrics. A layerwise approximation surrogate yields an exact fixed-budget optimizer. Across seven pretrained "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02064","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/2608.02064/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":"2026-08-04T02:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lz31IulhxK13F2tgZzisFRShfdK1p15mlAGTR+GSHipmi8swSaNBF+miBqKCUpoxuCTFkCE+9gcrQpaWoAC6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:01:52.880363Z"},"content_sha256":"1354cd367c2318a70857bb838c505a1f973245b5cd5c285843c34159434edd4e","schema_version":"1.0","event_id":"sha256:1354cd367c2318a70857bb838c505a1f973245b5cd5c285843c34159434edd4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SNTZPZRFUXY7GWP6URUOSH65FC/bundle.json","state_url":"https://pith.science/pith/SNTZPZRFUXY7GWP6URUOSH65FC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SNTZPZRFUXY7GWP6URUOSH65FC/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":"2026-08-06T15:01:52Z","links":{"resolver":"https://pith.science/pith/SNTZPZRFUXY7GWP6URUOSH65FC","bundle":"https://pith.science/pith/SNTZPZRFUXY7GWP6URUOSH65FC/bundle.json","state":"https://pith.science/pith/SNTZPZRFUXY7GWP6URUOSH65FC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SNTZPZRFUXY7GWP6URUOSH65FC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SNTZPZRFUXY7GWP6URUOSH65FC","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":"dbebe50bfe786b70db0b4fc8364a4cd549d4373f6a87ba4893f491b264b068e8","cross_cats_sorted":["cs.AI","cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:08:58Z","title_canon_sha256":"3db78f4d08d5970801e5787e838d80fc7c589fc403a11f001230a4b0d32f959e"},"schema_version":"1.0","source":{"id":"2608.02064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02064","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02064v1","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02064","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"SNTZPZRFUXY7","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"pith_short_16","alias_value":"SNTZPZRFUXY7GWP6","created_at":"2026-08-04T02:10:46Z"},{"alias_kind":"pith_short_8","alias_value":"SNTZPZRF","created_at":"2026-08-04T02:10:46Z"}],"graph_snapshots":[{"event_id":"sha256:1354cd367c2318a70857bb838c505a1f973245b5cd5c285843c34159434edd4e","target":"graph","created_at":"2026-08-04T02:10:46Z","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/2608.02064/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Feed-forward networks (FFNs) account for a large fraction of Transformer parameters, yet their hidden width is usually constant across depth. We ask whether this capacity can instead be allocated from a forward-pass measurement of layer behavior. We view each FFN as transporting a cloud of token representations and quantify the induced geometric change using correspondence-preserving shift, Gromov-Wasserstein distortion, and degree-one persistent homology under raw and scale-normalized metrics. A layerwise approximation surrogate yields an exact fixed-budget optimizer. Across seven pretrained ","authors_text":"Mikhail Burtsev, Radu State, Timur Mudarisov","cross_cats":["cs.AI","cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:08:58Z","title":"Geometry-Guided Layerwise FFN Width Allocation in Transformers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02064","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:c4453f51b8daa7bb9e7dd950857344e7b9823005e21633bf3dba90724f56b9d5","target":"record","created_at":"2026-08-04T02:10:46Z","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":"dbebe50bfe786b70db0b4fc8364a4cd549d4373f6a87ba4893f491b264b068e8","cross_cats_sorted":["cs.AI","cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-08-03T11:08:58Z","title_canon_sha256":"3db78f4d08d5970801e5787e838d80fc7c589fc403a11f001230a4b0d32f959e"},"schema_version":"1.0","source":{"id":"2608.02064","kind":"arxiv","version":1}},"canonical_sha256":"936797e625a5f1f359fea468e91fdd288a8425d64f592a45763738d80095d5c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"936797e625a5f1f359fea468e91fdd288a8425d64f592a45763738d80095d5c4","first_computed_at":"2026-08-04T02:10:46.341408Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:10:46.341408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ybMl6mJKcZNQEraaRVJsism6MxHnqyVsMAhEJe20inrkGQlpyJP455M0AOwRrkoIQAZziELCHIQdozHjO9nCg==","signature_status":"signed_v1","signed_at":"2026-08-04T02:10:46.342911Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4453f51b8daa7bb9e7dd950857344e7b9823005e21633bf3dba90724f56b9d5","sha256:1354cd367c2318a70857bb838c505a1f973245b5cd5c285843c34159434edd4e"],"state_sha256":"a31de2b143e5cee8a175326a54467d53c40277939c3c9c467c11ecbae74c174f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oU9ogOm2dgQ1VwDaQfRtWWv6jja+TSxIap0TEldxt8AfEx8yKKeveD2OEhvAKrayq1E9RSz9Rw7xHCDrQqD/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T15:01:52.883724Z","bundle_sha256":"03993eed4f0650262f100d677148f4edadf973968f104c48ee2982631480bc6a"}}