{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LPKXKKYZBEIXZVHKAHBHRH7E23","short_pith_number":"pith:LPKXKKYZ","canonical_record":{"source":{"id":"2605.25174","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-05-24T17:11:05Z","cross_cats_sorted":["cs.LG","cs.NE"],"title_canon_sha256":"c4b0e998e4320cf5c803e35ebb2a42a1cce1f159383b6107aeeff7cd997f8a53","abstract_canon_sha256":"283eb649fe97671886d7da20d8d87c996cb30a39ae6dc42f9eeb470c763d9be0"},"schema_version":"1.0"},"canonical_sha256":"5bd5752b1909117cd4ea01c2789fe4d6e42e79aefdd6536aaf754b1396003246","source":{"kind":"arxiv","id":"2605.25174","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25174","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25174v1","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25174","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"pith_short_12","alias_value":"LPKXKKYZBEIX","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"pith_short_16","alias_value":"LPKXKKYZBEIXZVHK","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"pith_short_8","alias_value":"LPKXKKYZ","created_at":"2026-05-26T02:04:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LPKXKKYZBEIXZVHKAHBHRH7E23","target":"record","payload":{"canonical_record":{"source":{"id":"2605.25174","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-05-24T17:11:05Z","cross_cats_sorted":["cs.LG","cs.NE"],"title_canon_sha256":"c4b0e998e4320cf5c803e35ebb2a42a1cce1f159383b6107aeeff7cd997f8a53","abstract_canon_sha256":"283eb649fe97671886d7da20d8d87c996cb30a39ae6dc42f9eeb470c763d9be0"},"schema_version":"1.0"},"canonical_sha256":"5bd5752b1909117cd4ea01c2789fe4d6e42e79aefdd6536aaf754b1396003246","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:04:21.474980Z","signature_b64":"i3X+rqYlDST9ckGhKa2BdnmBEQZ2MyanaWNRGkFn4ve8T9ovioPKJC5+01HXDsDnB/yEePLGoxVVwMjKa/dkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bd5752b1909117cd4ea01c2789fe4d6e42e79aefdd6536aaf754b1396003246","last_reissued_at":"2026-05-26T02:04:21.474205Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:04:21.474205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.25174","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":"2026-05-26T02:04:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NmjR8DXjwYYC6xzi2AQExTFluUfRTRWxKBG41VBkRa+xx0iDdiHbfep3flpoxqvgmSleY1opf4ri8BjvzrDrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:42:16.506972Z"},"content_sha256":"4c286a7e4388de9c892bea4257c796bd3683e0bbed5593cbc87490cbb8d9aef8","schema_version":"1.0","event_id":"sha256:4c286a7e4388de9c892bea4257c796bd3683e0bbed5593cbc87490cbb8d9aef8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LPKXKKYZBEIXZVHKAHBHRH7E23","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Growing a Neural Network in Breadth, Depth, and Time","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","cs.NE"],"primary_cat":"q-bio.NC","authors_text":"Eivinas Butkus, Kedar Garz\\'on Gupta, Nikolaus Kriegeskorte","submitted_at":"2026-05-24T17:11:05Z","abstract_excerpt":"Spatial and temporal resource constraints are critical for both biological and artificial intelligent systems. Here we define differentiable cost terms for breadth, depth, and time within a recurrent convolutional neural network conceived as a finite subset of an infinite lattice. We optimize these costs jointly with task errors via backpropagation. We set different pressures on breadth, depth, and time, which leads to diverse computational graphs emerging organically through training. We find that all three resources can be traded off against each other to achieve a given level of accuracy. N"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25174","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/2605.25174/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":"2026-05-26T02:04:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/YB1vvoKSaW2aRAvYUqmtQsfB28HWu6jJjt86nGFuSQeTN999Aw0xfi2dGDKJYmy2hWQtWkXN5W0s1gNSW5BAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:42:16.507364Z"},"content_sha256":"efe19118cf6fe8c6c2bf1367f1a4bec48700041d68d952cbaa28b0415e795ab8","schema_version":"1.0","event_id":"sha256:efe19118cf6fe8c6c2bf1367f1a4bec48700041d68d952cbaa28b0415e795ab8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LPKXKKYZBEIXZVHKAHBHRH7E23/bundle.json","state_url":"https://pith.science/pith/LPKXKKYZBEIXZVHKAHBHRH7E23/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LPKXKKYZBEIXZVHKAHBHRH7E23/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":"2026-06-20T02:42:16Z","links":{"resolver":"https://pith.science/pith/LPKXKKYZBEIXZVHKAHBHRH7E23","bundle":"https://pith.science/pith/LPKXKKYZBEIXZVHKAHBHRH7E23/bundle.json","state":"https://pith.science/pith/LPKXKKYZBEIXZVHKAHBHRH7E23/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LPKXKKYZBEIXZVHKAHBHRH7E23/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LPKXKKYZBEIXZVHKAHBHRH7E23","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":"283eb649fe97671886d7da20d8d87c996cb30a39ae6dc42f9eeb470c763d9be0","cross_cats_sorted":["cs.LG","cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-05-24T17:11:05Z","title_canon_sha256":"c4b0e998e4320cf5c803e35ebb2a42a1cce1f159383b6107aeeff7cd997f8a53"},"schema_version":"1.0","source":{"id":"2605.25174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.25174","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"arxiv_version","alias_value":"2605.25174v1","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25174","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"pith_short_12","alias_value":"LPKXKKYZBEIX","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"pith_short_16","alias_value":"LPKXKKYZBEIXZVHK","created_at":"2026-05-26T02:04:21Z"},{"alias_kind":"pith_short_8","alias_value":"LPKXKKYZ","created_at":"2026-05-26T02:04:21Z"}],"graph_snapshots":[{"event_id":"sha256:efe19118cf6fe8c6c2bf1367f1a4bec48700041d68d952cbaa28b0415e795ab8","target":"graph","created_at":"2026-05-26T02:04:21Z","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/2605.25174/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spatial and temporal resource constraints are critical for both biological and artificial intelligent systems. Here we define differentiable cost terms for breadth, depth, and time within a recurrent convolutional neural network conceived as a finite subset of an infinite lattice. We optimize these costs jointly with task errors via backpropagation. We set different pressures on breadth, depth, and time, which leads to diverse computational graphs emerging organically through training. We find that all three resources can be traded off against each other to achieve a given level of accuracy. N","authors_text":"Eivinas Butkus, Kedar Garz\\'on Gupta, Nikolaus Kriegeskorte","cross_cats":["cs.LG","cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-05-24T17:11:05Z","title":"Growing a Neural Network in Breadth, Depth, and Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25174","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":"sha256:4c286a7e4388de9c892bea4257c796bd3683e0bbed5593cbc87490cbb8d9aef8","target":"record","created_at":"2026-05-26T02:04:21Z","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":"283eb649fe97671886d7da20d8d87c996cb30a39ae6dc42f9eeb470c763d9be0","cross_cats_sorted":["cs.LG","cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-05-24T17:11:05Z","title_canon_sha256":"c4b0e998e4320cf5c803e35ebb2a42a1cce1f159383b6107aeeff7cd997f8a53"},"schema_version":"1.0","source":{"id":"2605.25174","kind":"arxiv","version":1}},"canonical_sha256":"5bd5752b1909117cd4ea01c2789fe4d6e42e79aefdd6536aaf754b1396003246","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bd5752b1909117cd4ea01c2789fe4d6e42e79aefdd6536aaf754b1396003246","first_computed_at":"2026-05-26T02:04:21.474205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:04:21.474205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i3X+rqYlDST9ckGhKa2BdnmBEQZ2MyanaWNRGkFn4ve8T9ovioPKJC5+01HXDsDnB/yEePLGoxVVwMjKa/dkDQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:04:21.474980Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.25174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c286a7e4388de9c892bea4257c796bd3683e0bbed5593cbc87490cbb8d9aef8","sha256:efe19118cf6fe8c6c2bf1367f1a4bec48700041d68d952cbaa28b0415e795ab8"],"state_sha256":"4f359ae2234fd2ff53bb0b391c77a74c066122063e414fa85d9f0529e7c2c647"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8L09JH3XdE6ATaz9WiwUNDlbyeTsHfqNwromcptwrpk5vAjbxvniQd9TOmPES6ogH6DU8/k8EzDgkrNpnXzeBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T02:42:16.509534Z","bundle_sha256":"e20265457669984fb217bdb616a136471a0f1d301c2a6ac761c5fcecf40e3623"}}