{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:QPLXDU6KYSSQP7HVCG2QZQFMC3","short_pith_number":"pith:QPLXDU6K","canonical_record":{"source":{"id":"2205.04104","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2022-05-09T08:11:46Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"e2c7fc991048be8a37b6717c75815f56bd9ec31e8c7e6d72ddde5e7e8454ad8e","abstract_canon_sha256":"adf981618d299efeb62d67a6773cf2350602d7c8287e1b4689dae27ef5fbd88e"},"schema_version":"1.0"},"canonical_sha256":"83d771d3cac4a507fcf511b50cc0ac16e81431f602262865e572512bde9cf722","source":{"kind":"arxiv","id":"2205.04104","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04104","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04104v1","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04104","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"QPLXDU6KYSSQ","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"pith_short_16","alias_value":"QPLXDU6KYSSQP7HV","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"pith_short_8","alias_value":"QPLXDU6K","created_at":"2026-07-05T04:21:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:QPLXDU6KYSSQP7HVCG2QZQFMC3","target":"record","payload":{"canonical_record":{"source":{"id":"2205.04104","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2022-05-09T08:11:46Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"e2c7fc991048be8a37b6717c75815f56bd9ec31e8c7e6d72ddde5e7e8454ad8e","abstract_canon_sha256":"adf981618d299efeb62d67a6773cf2350602d7c8287e1b4689dae27ef5fbd88e"},"schema_version":"1.0"},"canonical_sha256":"83d771d3cac4a507fcf511b50cc0ac16e81431f602262865e572512bde9cf722","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:21:21.314484Z","signature_b64":"utSolYbrmvR61/moqjReznlay18zTCXsVlikLa1cXoQWzJ6iixDwlN1xbPJMvoLfKFwq6AGZ6I+dZAF5MOYJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83d771d3cac4a507fcf511b50cc0ac16e81431f602262865e572512bde9cf722","last_reissued_at":"2026-07-05T04:21:21.314066Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:21:21.314066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.04104","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":"2026-07-05T04:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRyaEAvO92EeNYo9HzV2urIIAmMTSGK5KAh9JlqcGxeNXIMfFBvE6jZiPWPq8Q+8xiQ5m6K7e713ERGc1DMuDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T18:02:05.954206Z"},"content_sha256":"90750e8bb9b7f4a2bbb0566b6a05187369e5f5e44af3f1420f4d3d9a7f50e753","schema_version":"1.0","event_id":"sha256:90750e8bb9b7f4a2bbb0566b6a05187369e5f5e44af3f1420f4d3d9a7f50e753"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:QPLXDU6KYSSQP7HVCG2QZQFMC3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ReCAB-VAE: Gumbel-Softmax Variational Inference Based on Analytic Divergence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"eess.AS","authors_text":"Hong-Goo Kang, Sangshin Oh, Seyun Um","submitted_at":"2022-05-09T08:11:46Z","abstract_excerpt":"The Gumbel-softmax distribution, or Concrete distribution, is often used to relax the discrete characteristics of a categorical distribution and enable back-propagation through differentiable reparameterization. Although it reliably yields low variance gradients, it still relies on a stochastic sampling process for optimization. In this work, we present a relaxed categorical analytic bound (ReCAB), a novel divergence-like metric which corresponds to the upper bound of the Kullback-Leibler divergence (KLD) of a relaxed categorical distribution. The proposed metric is easy to implement because i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04104","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/2205.04104/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":"2026-07-05T04:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pKriuuDMS9LXgsK08llQtO+RlizU6K6iEJ2qNbBVZCjztB6fWNQDuIRvO+jTjksnKlrHMwpaE1se362D7FHmAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T18:02:05.954876Z"},"content_sha256":"7bfe8b95b957a031c20baa3dec4202a0e4b741d44608b504addb6f1ec7d8dc24","schema_version":"1.0","event_id":"sha256:7bfe8b95b957a031c20baa3dec4202a0e4b741d44608b504addb6f1ec7d8dc24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3/bundle.json","state_url":"https://pith.science/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3/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":"2026-07-08T18:02:05Z","links":{"resolver":"https://pith.science/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3","bundle":"https://pith.science/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3/bundle.json","state":"https://pith.science/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QPLXDU6KYSSQP7HVCG2QZQFMC3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QPLXDU6KYSSQP7HVCG2QZQFMC3","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":"adf981618d299efeb62d67a6773cf2350602d7c8287e1b4689dae27ef5fbd88e","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2022-05-09T08:11:46Z","title_canon_sha256":"e2c7fc991048be8a37b6717c75815f56bd9ec31e8c7e6d72ddde5e7e8454ad8e"},"schema_version":"1.0","source":{"id":"2205.04104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04104","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04104v1","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04104","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"QPLXDU6KYSSQ","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"pith_short_16","alias_value":"QPLXDU6KYSSQP7HV","created_at":"2026-07-05T04:21:21Z"},{"alias_kind":"pith_short_8","alias_value":"QPLXDU6K","created_at":"2026-07-05T04:21:21Z"}],"graph_snapshots":[{"event_id":"sha256:7bfe8b95b957a031c20baa3dec4202a0e4b741d44608b504addb6f1ec7d8dc24","target":"graph","created_at":"2026-07-05T04:21:21Z","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/2205.04104/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Gumbel-softmax distribution, or Concrete distribution, is often used to relax the discrete characteristics of a categorical distribution and enable back-propagation through differentiable reparameterization. Although it reliably yields low variance gradients, it still relies on a stochastic sampling process for optimization. In this work, we present a relaxed categorical analytic bound (ReCAB), a novel divergence-like metric which corresponds to the upper bound of the Kullback-Leibler divergence (KLD) of a relaxed categorical distribution. The proposed metric is easy to implement because i","authors_text":"Hong-Goo Kang, Sangshin Oh, Seyun Um","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2022-05-09T08:11:46Z","title":"ReCAB-VAE: Gumbel-Softmax Variational Inference Based on Analytic Divergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04104","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":"sha256:90750e8bb9b7f4a2bbb0566b6a05187369e5f5e44af3f1420f4d3d9a7f50e753","target":"record","created_at":"2026-07-05T04:21:21Z","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":"adf981618d299efeb62d67a6773cf2350602d7c8287e1b4689dae27ef5fbd88e","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2022-05-09T08:11:46Z","title_canon_sha256":"e2c7fc991048be8a37b6717c75815f56bd9ec31e8c7e6d72ddde5e7e8454ad8e"},"schema_version":"1.0","source":{"id":"2205.04104","kind":"arxiv","version":1}},"canonical_sha256":"83d771d3cac4a507fcf511b50cc0ac16e81431f602262865e572512bde9cf722","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83d771d3cac4a507fcf511b50cc0ac16e81431f602262865e572512bde9cf722","first_computed_at":"2026-07-05T04:21:21.314066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:21:21.314066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"utSolYbrmvR61/moqjReznlay18zTCXsVlikLa1cXoQWzJ6iixDwlN1xbPJMvoLfKFwq6AGZ6I+dZAF5MOYJCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:21:21.314484Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.04104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90750e8bb9b7f4a2bbb0566b6a05187369e5f5e44af3f1420f4d3d9a7f50e753","sha256:7bfe8b95b957a031c20baa3dec4202a0e4b741d44608b504addb6f1ec7d8dc24"],"state_sha256":"fa4f0359fc14cf6760cfc72d58e24b0d1ed59935c439244a43c449939c0e254c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MMQAFe+0rYT9fNO8ne7Mzd/UBspsiJPhEBg3HWbdSIJ7MyKCpDW/OJVoZbnI+bkrjyraC0trP06DTc1S5QK1Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T18:02:05.957011Z","bundle_sha256":"1e329f101f6c4784d0049c40402b26106e0604f3a8d8f6e5e5dda19fc8dbcb0d"}}