{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EVPUGCMIOBRKMOKCDPMWYSJ4OP","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":"f054925fca0b18a0459396ce46c24de48621dae48f8e03f4bbf3877f2ac4075e","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-12-31T09:30:54Z","title_canon_sha256":"8603f99b6b3e7d3561505f01fcf7e63373b1e85d1ab36311ba1e5841c14c5528"},"schema_version":"1.0","source":{"id":"1812.11732","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11732","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11732v1","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11732","created_at":"2026-05-17T23:57:11Z"},{"alias_kind":"pith_short_12","alias_value":"EVPUGCMIOBRK","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EVPUGCMIOBRKMOKC","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EVPUGCMI","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:ece76d62122653024b3d51e57d9b739e77bc177dd6c33691611b5d8bd400b6ae","target":"graph","created_at":"2026-05-17T23:57:11Z","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"},"paper":{"abstract_excerpt":"The high computational and parameter complexity of neural networks makes their training very slow and difficult to deploy on energy and storage-constrained computing systems. Many network complexity reduction techniques have been proposed including fixed-point implementation. However, a systematic approach for designing full fixed-point training and inference of deep neural networks remains elusive. We describe a precision assignment methodology for neural network training in which all network parameters, i.e., activations and weights in the feedforward path, gradients and weight accumulators ","authors_text":"Charbel Sakr, Naresh Shanbhag","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-12-31T09:30:54Z","title":"Per-Tensor Fixed-Point Quantization of the Back-Propagation Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11732","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":"sha256:703dba8f15102d18aefd7e06d5e4f429692137742683697d4926c61c432f9225","target":"record","created_at":"2026-05-17T23:57:11Z","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":"f054925fca0b18a0459396ce46c24de48621dae48f8e03f4bbf3877f2ac4075e","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-12-31T09:30:54Z","title_canon_sha256":"8603f99b6b3e7d3561505f01fcf7e63373b1e85d1ab36311ba1e5841c14c5528"},"schema_version":"1.0","source":{"id":"1812.11732","kind":"arxiv","version":1}},"canonical_sha256":"255f4309887062a639421bd96c493c73cfb36d0b998afacd9435e30046879635","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"255f4309887062a639421bd96c493c73cfb36d0b998afacd9435e30046879635","first_computed_at":"2026-05-17T23:57:11.251807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:11.251807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dHzj1me/jpquXQPuNwnkr6EOYLbjJUtIWFGXa5xyCXC27xA+mL+73tjbrY4LFDJyQypwYIiqw+1BT/ZbYuwzAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:11.252256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11732","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:703dba8f15102d18aefd7e06d5e4f429692137742683697d4926c61c432f9225","sha256:ece76d62122653024b3d51e57d9b739e77bc177dd6c33691611b5d8bd400b6ae"],"state_sha256":"7178e0e6c14bab6716c926b530866b98aecbffb24fbb16e4bb6be9b5d271f1e9"}