{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3S53KVDEXDQ2Q6LL73P5LXXOPU","short_pith_number":"pith:3S53KVDE","canonical_record":{"source":{"id":"1505.03281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-13T09:12:07Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4fee1d754237bfd1d4f861ab45fc13ab2f24d273ef6b3319e7d61414f1d7ecee","abstract_canon_sha256":"6558bdca0b4492836ea3e33d8ad4fb684216fbadab24072e5f4196ed32720bcf"},"schema_version":"1.0"},"canonical_sha256":"dcbbb55464b8e1a8796bfedfd5deee7d12f401e0e842f1e94ba2b6eec4085884","source":{"kind":"arxiv","id":"1505.03281","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03281","created_at":"2026-05-18T02:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03281v1","created_at":"2026-05-18T02:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03281","created_at":"2026-05-18T02:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"3S53KVDEXDQ2","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3S53KVDEXDQ2Q6LL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3S53KVDE","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3S53KVDEXDQ2Q6LL73P5LXXOPU","target":"record","payload":{"canonical_record":{"source":{"id":"1505.03281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-13T09:12:07Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4fee1d754237bfd1d4f861ab45fc13ab2f24d273ef6b3319e7d61414f1d7ecee","abstract_canon_sha256":"6558bdca0b4492836ea3e33d8ad4fb684216fbadab24072e5f4196ed32720bcf"},"schema_version":"1.0"},"canonical_sha256":"dcbbb55464b8e1a8796bfedfd5deee7d12f401e0e842f1e94ba2b6eec4085884","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:09.766424Z","signature_b64":"2OvgZ7DeKT+z1C+mkL8KLAKf6MF3/t3BI6zAS838TvBVtApDD/o+5jAJgYS0u7Rtuu1PH6ADCaKRQ/fjbwaWAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcbbb55464b8e1a8796bfedfd5deee7d12f401e0e842f1e94ba2b6eec4085884","last_reissued_at":"2026-05-18T02:12:09.765722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:09.765722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.03281","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":"2026-05-18T02:12:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"50214yoSNUbFnBJoExQKixGzCtH3k+/G/pq7VJqQhtc8VeaxPHWILP/ACJu+BmH6bbDFKWqE6GBJBbiN24LIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:40:52.063762Z"},"content_sha256":"7e8bee50f1a9df5bdc68c92a6c6bbe01669bb9db88174cf502ab6b0871eb9947","schema_version":"1.0","event_id":"sha256:7e8bee50f1a9df5bdc68c92a6c6bbe01669bb9db88174cf502ab6b0871eb9947"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3S53KVDEXDQ2Q6LL73P5LXXOPU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Codes for Partially Stuck-at Memory Cells","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Antonia Wachter-Zeh, Eitan Yaakobi","submitted_at":"2015-05-13T09:12:07Z","abstract_excerpt":"In this work, we study a new model of defect memory cells, called partially stuck-at memory cells, which is motivated by the behavior of multi-level cells in non-volatile memories such as flash memories and phase change memories. If a cell can store the $q$ levels $0, 1, \\dots, q-1$, we say that it is partially stuck-at level $s$, where $1 \\leq s \\leq q-1$, if it can only store values which are at least $s$. We follow the common setup where the encoder knows the positions and levels of the partially stuck-at cells whereas the decoder does not.\n  Our main contribution in the paper is the study "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03281","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":""},"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":"2026-05-18T02:12:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+yOiCLesZMm2mq+x61H509KevT70NIVXURDr1HSZMSAEgIiQcz7YuaaZF/noyyuA6Q15xj9XFFlWdpHflPJxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:40:52.064110Z"},"content_sha256":"1577ae44080b7833d83f94732c078014130efd816419c479ab6e76ad535fb336","schema_version":"1.0","event_id":"sha256:1577ae44080b7833d83f94732c078014130efd816419c479ab6e76ad535fb336"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU/bundle.json","state_url":"https://pith.science/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU/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":"2026-06-05T14:40:52Z","links":{"resolver":"https://pith.science/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU","bundle":"https://pith.science/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU/bundle.json","state":"https://pith.science/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3S53KVDEXDQ2Q6LL73P5LXXOPU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3S53KVDEXDQ2Q6LL73P5LXXOPU","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":"6558bdca0b4492836ea3e33d8ad4fb684216fbadab24072e5f4196ed32720bcf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-13T09:12:07Z","title_canon_sha256":"4fee1d754237bfd1d4f861ab45fc13ab2f24d273ef6b3319e7d61414f1d7ecee"},"schema_version":"1.0","source":{"id":"1505.03281","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03281","created_at":"2026-05-18T02:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03281v1","created_at":"2026-05-18T02:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03281","created_at":"2026-05-18T02:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"3S53KVDEXDQ2","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3S53KVDEXDQ2Q6LL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3S53KVDE","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:1577ae44080b7833d83f94732c078014130efd816419c479ab6e76ad535fb336","target":"graph","created_at":"2026-05-18T02:12:09Z","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":"In this work, we study a new model of defect memory cells, called partially stuck-at memory cells, which is motivated by the behavior of multi-level cells in non-volatile memories such as flash memories and phase change memories. If a cell can store the $q$ levels $0, 1, \\dots, q-1$, we say that it is partially stuck-at level $s$, where $1 \\leq s \\leq q-1$, if it can only store values which are at least $s$. We follow the common setup where the encoder knows the positions and levels of the partially stuck-at cells whereas the decoder does not.\n  Our main contribution in the paper is the study ","authors_text":"Antonia Wachter-Zeh, Eitan Yaakobi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-13T09:12:07Z","title":"Codes for Partially Stuck-at Memory Cells"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03281","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":"sha256:7e8bee50f1a9df5bdc68c92a6c6bbe01669bb9db88174cf502ab6b0871eb9947","target":"record","created_at":"2026-05-18T02:12:09Z","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":"6558bdca0b4492836ea3e33d8ad4fb684216fbadab24072e5f4196ed32720bcf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-13T09:12:07Z","title_canon_sha256":"4fee1d754237bfd1d4f861ab45fc13ab2f24d273ef6b3319e7d61414f1d7ecee"},"schema_version":"1.0","source":{"id":"1505.03281","kind":"arxiv","version":1}},"canonical_sha256":"dcbbb55464b8e1a8796bfedfd5deee7d12f401e0e842f1e94ba2b6eec4085884","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcbbb55464b8e1a8796bfedfd5deee7d12f401e0e842f1e94ba2b6eec4085884","first_computed_at":"2026-05-18T02:12:09.765722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:09.765722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2OvgZ7DeKT+z1C+mkL8KLAKf6MF3/t3BI6zAS838TvBVtApDD/o+5jAJgYS0u7Rtuu1PH6ADCaKRQ/fjbwaWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:09.766424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03281","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e8bee50f1a9df5bdc68c92a6c6bbe01669bb9db88174cf502ab6b0871eb9947","sha256:1577ae44080b7833d83f94732c078014130efd816419c479ab6e76ad535fb336"],"state_sha256":"52914f6c28b2e7bcb80812341c764751a5722abc4492afac5a5967fdfff788ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PabQ98mElMx5nhqgkV1VJQc624idhD6kKyOzCsrrRyIy189gdt+ZSP05FXVawADBXuq8kZxFXN448wHdNnTGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:40:52.066054Z","bundle_sha256":"6cf3008d51f89c8ab34b63e0bdef5e36f0cca0326bced3d80a0359c9711f60a4"}}