{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:LEY763LVJRUCSMKGL74IQT7MTX","short_pith_number":"pith:LEY763LV","canonical_record":{"source":{"id":"2006.12459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-22T17:41:55Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"2be9ec1143bd55e5b2e18f73a369800f48f7dc1af96bfcb7c3cec4a00dc82dbe","abstract_canon_sha256":"ca93a13d3be1245fa90cc824314a570efe0a5678f006af7593f496b0562b3e2a"},"schema_version":"1.0"},"canonical_sha256":"5931ff6d754c682931465ff8884fec9dde77ad1c858c33c1e512979446393652","source":{"kind":"arxiv","id":"2006.12459","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12459","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12459v2","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12459","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"pith_short_12","alias_value":"LEY763LVJRUC","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"pith_short_16","alias_value":"LEY763LVJRUCSMKG","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"pith_short_8","alias_value":"LEY763LV","created_at":"2026-07-05T02:25:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:LEY763LVJRUCSMKGL74IQT7MTX","target":"record","payload":{"canonical_record":{"source":{"id":"2006.12459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-22T17:41:55Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"2be9ec1143bd55e5b2e18f73a369800f48f7dc1af96bfcb7c3cec4a00dc82dbe","abstract_canon_sha256":"ca93a13d3be1245fa90cc824314a570efe0a5678f006af7593f496b0562b3e2a"},"schema_version":"1.0"},"canonical_sha256":"5931ff6d754c682931465ff8884fec9dde77ad1c858c33c1e512979446393652","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:25:20.020296Z","signature_b64":"NFcOEBw80Fmf9sQoKPiv3kgl4snEYTZjcIcHGunJGJoIR08Fp8azZe/BwM/rK02IoCnefKMBRgeO0/K+3ik6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5931ff6d754c682931465ff8884fec9dde77ad1c858c33c1e512979446393652","last_reissued_at":"2026-07-05T02:25:20.019812Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:25:20.019812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.12459","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:25:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VokpZvtKu0ejk6uJkh8Elod/J3bLjb7JbUjLPHwLZ8HisTvRWTF7AuuRqb4gb8c9AWMmPLS+P6qYYeHDzKCoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T19:50:40.962466Z"},"content_sha256":"897ade5aaa1eaeea00e2e753c40f3af98d1e3cf15515469c29201a44ea1ba8b1","schema_version":"1.0","event_id":"sha256:897ade5aaa1eaeea00e2e753c40f3af98d1e3cf15515469c29201a44ea1ba8b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:LEY763LVJRUCSMKGL74IQT7MTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"IDF++: Analyzing and Improving Integer Discrete Flows for Lossless Compression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Alexey A. Gritsenko, Casper Kaae S{\\o}nderby, Mostafa Dehghani, Rianne van den Berg, Tim Salimans","submitted_at":"2020-06-22T17:41:55Z","abstract_excerpt":"In this paper we analyse and improve integer discrete flows for lossless compression. Integer discrete flows are a recently proposed class of models that learn invertible transformations for integer-valued random variables. Their discrete nature makes them particularly suitable for lossless compression with entropy coding schemes. We start by investigating a recent theoretical claim that states that invertible flows for discrete random variables are less flexible than their continuous counterparts. We demonstrate with a proof that this claim does not hold for integer discrete flows due to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12459","kind":"arxiv","version":2},"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/2006.12459/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":"2026-07-05T02:25:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MA24DqyJCioTqGqViikClT8ysuAi2YHVVKHivVFGBDT5U9DkXQVTX/Q5FPcRseNft9un+yeXHypqbYIEemJVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T19:50:40.962828Z"},"content_sha256":"0399e31684842b0deefc65276606f6b955778e5c8f4db4658961170343758b68","schema_version":"1.0","event_id":"sha256:0399e31684842b0deefc65276606f6b955778e5c8f4db4658961170343758b68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LEY763LVJRUCSMKGL74IQT7MTX/bundle.json","state_url":"https://pith.science/pith/LEY763LVJRUCSMKGL74IQT7MTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LEY763LVJRUCSMKGL74IQT7MTX/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":"2026-07-15T19:50:40Z","links":{"resolver":"https://pith.science/pith/LEY763LVJRUCSMKGL74IQT7MTX","bundle":"https://pith.science/pith/LEY763LVJRUCSMKGL74IQT7MTX/bundle.json","state":"https://pith.science/pith/LEY763LVJRUCSMKGL74IQT7MTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LEY763LVJRUCSMKGL74IQT7MTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LEY763LVJRUCSMKGL74IQT7MTX","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":"ca93a13d3be1245fa90cc824314a570efe0a5678f006af7593f496b0562b3e2a","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-22T17:41:55Z","title_canon_sha256":"2be9ec1143bd55e5b2e18f73a369800f48f7dc1af96bfcb7c3cec4a00dc82dbe"},"schema_version":"1.0","source":{"id":"2006.12459","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12459","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12459v2","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12459","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"pith_short_12","alias_value":"LEY763LVJRUC","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"pith_short_16","alias_value":"LEY763LVJRUCSMKG","created_at":"2026-07-05T02:25:20Z"},{"alias_kind":"pith_short_8","alias_value":"LEY763LV","created_at":"2026-07-05T02:25:20Z"}],"graph_snapshots":[{"event_id":"sha256:0399e31684842b0deefc65276606f6b955778e5c8f4db4658961170343758b68","target":"graph","created_at":"2026-07-05T02:25:20Z","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/2006.12459/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we analyse and improve integer discrete flows for lossless compression. Integer discrete flows are a recently proposed class of models that learn invertible transformations for integer-valued random variables. Their discrete nature makes them particularly suitable for lossless compression with entropy coding schemes. We start by investigating a recent theoretical claim that states that invertible flows for discrete random variables are less flexible than their continuous counterparts. We demonstrate with a proof that this claim does not hold for integer discrete flows due to the ","authors_text":"Alexey A. Gritsenko, Casper Kaae S{\\o}nderby, Mostafa Dehghani, Rianne van den Berg, Tim Salimans","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-22T17:41:55Z","title":"IDF++: Analyzing and Improving Integer Discrete Flows for Lossless Compression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12459","kind":"arxiv","version":2},"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":"sha256:897ade5aaa1eaeea00e2e753c40f3af98d1e3cf15515469c29201a44ea1ba8b1","target":"record","created_at":"2026-07-05T02:25:20Z","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":"ca93a13d3be1245fa90cc824314a570efe0a5678f006af7593f496b0562b3e2a","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-22T17:41:55Z","title_canon_sha256":"2be9ec1143bd55e5b2e18f73a369800f48f7dc1af96bfcb7c3cec4a00dc82dbe"},"schema_version":"1.0","source":{"id":"2006.12459","kind":"arxiv","version":2}},"canonical_sha256":"5931ff6d754c682931465ff8884fec9dde77ad1c858c33c1e512979446393652","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5931ff6d754c682931465ff8884fec9dde77ad1c858c33c1e512979446393652","first_computed_at":"2026-07-05T02:25:20.019812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:25:20.019812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NFcOEBw80Fmf9sQoKPiv3kgl4snEYTZjcIcHGunJGJoIR08Fp8azZe/BwM/rK02IoCnefKMBRgeO0/K+3ik6DA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:25:20.020296Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.12459","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:897ade5aaa1eaeea00e2e753c40f3af98d1e3cf15515469c29201a44ea1ba8b1","sha256:0399e31684842b0deefc65276606f6b955778e5c8f4db4658961170343758b68"],"state_sha256":"db7ce68682fd94ec0bb2527803ec61703edba7834950172e40c0374b384f8df7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UIfbe+vGZ70GvO9hNGndg5hO/wFNqSJxUtv6oL9e3K3hbrVrKi0QehkToeGBq5IFdLArkMPhrkX1lnlWdGouBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-15T19:50:40.964926Z","bundle_sha256":"7ad9281da552e8c452bc7d91d23271490a8227479a28e0faa13cdf815582fbfa"}}