{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:Y7W63XFCYIRXEHIIT27TSNTVU3","short_pith_number":"pith:Y7W63XFC","canonical_record":{"source":{"id":"2607.00452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T05:10:14Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"bb9707c7a3fe97e60f75fe917f4e2744393f4d9f0e9519569a21d7bb5cc37658","abstract_canon_sha256":"cf69469c705b6677a6314d15b65e174edc64d4b1a5f793e1bcdf65c806ef3247"},"schema_version":"1.0"},"canonical_sha256":"c7ededdca2c223721d089ebf393675a6c6eb7623cdef4d18bea4d720b5f842b5","source":{"kind":"arxiv","id":"2607.00452","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00452","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00452v1","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00452","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"pith_short_12","alias_value":"Y7W63XFCYIRX","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"pith_short_16","alias_value":"Y7W63XFCYIRXEHII","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"pith_short_8","alias_value":"Y7W63XFC","created_at":"2026-07-02T01:17:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:Y7W63XFCYIRXEHIIT27TSNTVU3","target":"record","payload":{"canonical_record":{"source":{"id":"2607.00452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T05:10:14Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"bb9707c7a3fe97e60f75fe917f4e2744393f4d9f0e9519569a21d7bb5cc37658","abstract_canon_sha256":"cf69469c705b6677a6314d15b65e174edc64d4b1a5f793e1bcdf65c806ef3247"},"schema_version":"1.0"},"canonical_sha256":"c7ededdca2c223721d089ebf393675a6c6eb7623cdef4d18bea4d720b5f842b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-02T01:17:43.790050Z","signature_b64":"VDwF7oa4kwA69YFyO4T9N/5RAreP2AhEzL+0EWS+iZdoqO0Fdm9jf6j1zEBEV/bKE0GwYMiY4GIKDT+ZGbSTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7ededdca2c223721d089ebf393675a6c6eb7623cdef4d18bea4d720b5f842b5","last_reissued_at":"2026-07-02T01:17:43.789646Z","signature_status":"signed_v1","first_computed_at":"2026-07-02T01:17:43.789646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.00452","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":"2026-07-02T01:17:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sp3oaFkmxV5waj2esNIA3Ty7qIH4kubbVCK9Yz87sqAWj/rp0Zpez3T8sG1GMkFEVk4dXxjrAs/k7+OF3NDbBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:27:49.095794Z"},"content_sha256":"9c944aa6b8a4ff73695ee019d051d59dfa11aa57ef7f26b2b5cb85037ed62fb9","schema_version":"1.0","event_id":"sha256:9c944aa6b8a4ff73695ee019d051d59dfa11aa57ef7f26b2b5cb85037ed62fb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:Y7W63XFCYIRXEHIIT27TSNTVU3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauging, Measuring, and Controlling Critic Complexity in Actor-Critic Reinforcement Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Konstantin Garbers","submitted_at":"2026-07-01T05:10:14Z","abstract_excerpt":"Actor-critic methods depend on learned critics, but critic quality is often evaluated only indirectly through return, temporal-difference error, or value loss. Critic complexity is introduced as an additional diagnostic and intervention dimension for actor-critic reinforcement learning. The analysis uses spectral effective-rank entropy, a rank-like summary of the singular-value distributions of critic weight matrices, to assess critic model complexity. Across TD3 and PPO experiments, critic complexity is tracked together with return and Monte Carlo value-estimation bias. The results show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00452","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/2607.00452/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":"2026-07-02T01:17:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pN9XSgp7/1kv0Ul6yusCMcmjBCKXXzaa4uIAfveHIeGeVJ5irBTHzRrBAwpnPvlaep2dKw7Is8PpXUpzS0ooDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T07:27:49.096657Z"},"content_sha256":"757e876802a686923bca0f401b7080b78dc3befa0ab26ed24b35fd96078d8bdc","schema_version":"1.0","event_id":"sha256:757e876802a686923bca0f401b7080b78dc3befa0ab26ed24b35fd96078d8bdc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y7W63XFCYIRXEHIIT27TSNTVU3/bundle.json","state_url":"https://pith.science/pith/Y7W63XFCYIRXEHIIT27TSNTVU3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y7W63XFCYIRXEHIIT27TSNTVU3/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":"2026-08-06T07:27:49Z","links":{"resolver":"https://pith.science/pith/Y7W63XFCYIRXEHIIT27TSNTVU3","bundle":"https://pith.science/pith/Y7W63XFCYIRXEHIIT27TSNTVU3/bundle.json","state":"https://pith.science/pith/Y7W63XFCYIRXEHIIT27TSNTVU3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y7W63XFCYIRXEHIIT27TSNTVU3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Y7W63XFCYIRXEHIIT27TSNTVU3","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":"cf69469c705b6677a6314d15b65e174edc64d4b1a5f793e1bcdf65c806ef3247","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T05:10:14Z","title_canon_sha256":"bb9707c7a3fe97e60f75fe917f4e2744393f4d9f0e9519569a21d7bb5cc37658"},"schema_version":"1.0","source":{"id":"2607.00452","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00452","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00452v1","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00452","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"pith_short_12","alias_value":"Y7W63XFCYIRX","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"pith_short_16","alias_value":"Y7W63XFCYIRXEHII","created_at":"2026-07-02T01:17:43Z"},{"alias_kind":"pith_short_8","alias_value":"Y7W63XFC","created_at":"2026-07-02T01:17:43Z"}],"graph_snapshots":[{"event_id":"sha256:757e876802a686923bca0f401b7080b78dc3befa0ab26ed24b35fd96078d8bdc","target":"graph","created_at":"2026-07-02T01:17:43Z","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/2607.00452/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Actor-critic methods depend on learned critics, but critic quality is often evaluated only indirectly through return, temporal-difference error, or value loss. Critic complexity is introduced as an additional diagnostic and intervention dimension for actor-critic reinforcement learning. The analysis uses spectral effective-rank entropy, a rank-like summary of the singular-value distributions of critic weight matrices, to assess critic model complexity. Across TD3 and PPO experiments, critic complexity is tracked together with return and Monte Carlo value-estimation bias. The results show that ","authors_text":"Konstantin Garbers","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T05:10:14Z","title":"Gauging, Measuring, and Controlling Critic Complexity in Actor-Critic Reinforcement Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00452","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":"sha256:9c944aa6b8a4ff73695ee019d051d59dfa11aa57ef7f26b2b5cb85037ed62fb9","target":"record","created_at":"2026-07-02T01:17:43Z","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":"cf69469c705b6677a6314d15b65e174edc64d4b1a5f793e1bcdf65c806ef3247","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-01T05:10:14Z","title_canon_sha256":"bb9707c7a3fe97e60f75fe917f4e2744393f4d9f0e9519569a21d7bb5cc37658"},"schema_version":"1.0","source":{"id":"2607.00452","kind":"arxiv","version":1}},"canonical_sha256":"c7ededdca2c223721d089ebf393675a6c6eb7623cdef4d18bea4d720b5f842b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7ededdca2c223721d089ebf393675a6c6eb7623cdef4d18bea4d720b5f842b5","first_computed_at":"2026-07-02T01:17:43.789646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T01:17:43.789646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VDwF7oa4kwA69YFyO4T9N/5RAreP2AhEzL+0EWS+iZdoqO0Fdm9jf6j1zEBEV/bKE0GwYMiY4GIKDT+ZGbSTAw==","signature_status":"signed_v1","signed_at":"2026-07-02T01:17:43.790050Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.00452","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c944aa6b8a4ff73695ee019d051d59dfa11aa57ef7f26b2b5cb85037ed62fb9","sha256:757e876802a686923bca0f401b7080b78dc3befa0ab26ed24b35fd96078d8bdc"],"state_sha256":"e5746e1b730e09e8e680f8221b1d3452892240f3102654e031abc92be85f823f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WaEFRzoXjKb1P1beVp+mJdqsJ0ni/F+YgdexxSs8WAD3hBuPU5biI+zBEUGla/cggXZArsg/mk/DbDjI59SFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T07:27:49.104368Z","bundle_sha256":"1684cb62a828a163a08d7d5a3ea6e6dba413004187ba7778082d06d5176a6d56"}}