{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WFL2VDME2VB7X7EQMPVTP64RSD","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":"bf4e309459eedfaa5d9f4055dd6384ce113e4293381f2454492cd81a144ffa21","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-07-17T14:57:40Z","title_canon_sha256":"f2c70796291910f5ff68b53bd4e97ad190ddf064c61277754338ce9907f97e24"},"schema_version":"1.0","source":{"id":"1707.05199","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05199","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05199v3","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05199","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"WFL2VDME2VB7","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WFL2VDME2VB7X7EQ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WFL2VDME","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:07411fa57a98af4982a5a3a2818b844fd06a8db56b4b2ca11a8753a95d63da82","target":"graph","created_at":"2026-05-17T23:44:32Z","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":"This paper revisits a classical scenario in communication theory: a waveform sampled at regular intervals is to be encoded so as to minimize distortion in its reconstruction, despite noise. This transformation must be online (causal), to enable real-time signaling; and should use no more power than the original signal. The noise model we consider is an \"atomic norm\" convex relaxation of the standard (discrete alphabet) Hamming-weight-bounded model: namely, adversarial $\\ell_1$-bounded. In the \"block coding\" (noncausal) setting, such encoding is possible due to the existence of large almost-Euc","authors_text":"Leonard J. Schulman, Piyush Srivastava","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-07-17T14:57:40Z","title":"Online codes for analog signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05199","kind":"arxiv","version":3},"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":"sha256:055dd8154a5e3da640c7b4345a9c13cd640af36bbe682c1239c8adb16e1e1cc9","target":"record","created_at":"2026-05-17T23:44:32Z","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":"bf4e309459eedfaa5d9f4055dd6384ce113e4293381f2454492cd81a144ffa21","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-07-17T14:57:40Z","title_canon_sha256":"f2c70796291910f5ff68b53bd4e97ad190ddf064c61277754338ce9907f97e24"},"schema_version":"1.0","source":{"id":"1707.05199","kind":"arxiv","version":3}},"canonical_sha256":"b157aa8d84d543fbfc9063eb37fb9190e7b88fb659835676d9a3ed7b0fad28a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b157aa8d84d543fbfc9063eb37fb9190e7b88fb659835676d9a3ed7b0fad28a2","first_computed_at":"2026-05-17T23:44:32.979251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:32.979251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pG26vmF0iQgv6ZiDNX1ht8KQ74tTiTTidOq8nuRr5/pvyvMn/uZBMU4HxMBHEq31qrr8Yn//a1ek2OR1NS+zBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:32.979912Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05199","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:055dd8154a5e3da640c7b4345a9c13cd640af36bbe682c1239c8adb16e1e1cc9","sha256:07411fa57a98af4982a5a3a2818b844fd06a8db56b4b2ca11a8753a95d63da82"],"state_sha256":"f703e2fc365b05a1fe8323ee005292b865b0aca8a6961e1052e21eeaf25597fc"}