{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:JRW64C3TFRTOC5FVS3NAOO7G4G","short_pith_number":"pith:JRW64C3T","canonical_record":{"source":{"id":"1912.03951","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-09T10:25:49Z","cross_cats_sorted":[],"title_canon_sha256":"d4fd866c830d12623fef24bda2caea1ba4e1949a1036d8a368c3ba821c881d71","abstract_canon_sha256":"3a48d2e97603fddaccf1f90cd2115f3dc7cd8a3f8fd79c13ad9ea8a743f8ddae"},"schema_version":"1.0"},"canonical_sha256":"4c6dee0b732c66e174b596da073be6e1b73560cbc1e713811bedbb358f21e23a","source":{"kind":"arxiv","id":"1912.03951","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.03951","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"arxiv_version","alias_value":"1912.03951v5","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.03951","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"pith_short_12","alias_value":"JRW64C3TFRTO","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"pith_short_16","alias_value":"JRW64C3TFRTOC5FV","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"pith_short_8","alias_value":"JRW64C3T","created_at":"2026-07-05T01:31:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:JRW64C3TFRTOC5FVS3NAOO7G4G","target":"record","payload":{"canonical_record":{"source":{"id":"1912.03951","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-09T10:25:49Z","cross_cats_sorted":[],"title_canon_sha256":"d4fd866c830d12623fef24bda2caea1ba4e1949a1036d8a368c3ba821c881d71","abstract_canon_sha256":"3a48d2e97603fddaccf1f90cd2115f3dc7cd8a3f8fd79c13ad9ea8a743f8ddae"},"schema_version":"1.0"},"canonical_sha256":"4c6dee0b732c66e174b596da073be6e1b73560cbc1e713811bedbb358f21e23a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:31:23.107589Z","signature_b64":"ivTzg4l1tFgam6BW//9O7jtLTVkc96/sbN4orAQgTaeGiAcO/pJlCvextCjQpXr0z6ivFF9t1tc0/AGshiJiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c6dee0b732c66e174b596da073be6e1b73560cbc1e713811bedbb358f21e23a","last_reissued_at":"2026-07-05T01:31:23.107085Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:31:23.107085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.03951","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:31:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnzVLmHdBWuawRxVPr7hkzAlHuMMObY+NOEpkIGsNfejAF1yJwzxOpPyv7oJJIe2dLGY4BiBgsSu0MVNwZPSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T08:37:31.913558Z"},"content_sha256":"70c1c591634c92f11041332462e399da61baa7bb9727bad880cbd9119c85ebe5","schema_version":"1.0","event_id":"sha256:70c1c591634c92f11041332462e399da61baa7bb9727bad880cbd9119c85ebe5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:JRW64C3TFRTOC5FVS3NAOO7G4G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep Structured Teams with Linear Quadratic Model: Partial Equivariance and Gauge Transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Amir G. Aghdam, Jalal Arabneydi","submitted_at":"2019-12-09T10:25:49Z","abstract_excerpt":"Motivated by the recent developments in artificial intelligence, we introduce linear quadratic deep structured teams in this paper. Two notions of equivariant and partially equivariant systems are defined, and it is shown that such systems can be partitioned into a few sub-populations of decision makers, where every decision maker in each sub-population is coupled in both dynamics and cost function through a set of linear regressions of the states and actions of all decision makers. Two non-classical information structures are considered: deep-state sharing and partial deep-state sharing, wher"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.03951","kind":"arxiv","version":5},"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/1912.03951/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":"2026-07-05T01:31:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GGQ7C9zGpkp6HA+Bosk6CaLQTGv89cArEZ7dKcgXgw86SY1KKast8KGFqZ46QRnRPTbCsK4/9fkc5EI4G7agCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T08:37:31.914065Z"},"content_sha256":"e323b2d19418669cd1336fe6e6fd9ceea2a45f5dc3e2fa1ab2e2ae4d1dc5410d","schema_version":"1.0","event_id":"sha256:e323b2d19418669cd1336fe6e6fd9ceea2a45f5dc3e2fa1ab2e2ae4d1dc5410d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JRW64C3TFRTOC5FVS3NAOO7G4G/bundle.json","state_url":"https://pith.science/pith/JRW64C3TFRTOC5FVS3NAOO7G4G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JRW64C3TFRTOC5FVS3NAOO7G4G/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":"2026-08-18T08:37:31Z","links":{"resolver":"https://pith.science/pith/JRW64C3TFRTOC5FVS3NAOO7G4G","bundle":"https://pith.science/pith/JRW64C3TFRTOC5FVS3NAOO7G4G/bundle.json","state":"https://pith.science/pith/JRW64C3TFRTOC5FVS3NAOO7G4G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JRW64C3TFRTOC5FVS3NAOO7G4G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JRW64C3TFRTOC5FVS3NAOO7G4G","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":"3a48d2e97603fddaccf1f90cd2115f3dc7cd8a3f8fd79c13ad9ea8a743f8ddae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-09T10:25:49Z","title_canon_sha256":"d4fd866c830d12623fef24bda2caea1ba4e1949a1036d8a368c3ba821c881d71"},"schema_version":"1.0","source":{"id":"1912.03951","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.03951","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"arxiv_version","alias_value":"1912.03951v5","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.03951","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"pith_short_12","alias_value":"JRW64C3TFRTO","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"pith_short_16","alias_value":"JRW64C3TFRTOC5FV","created_at":"2026-07-05T01:31:23Z"},{"alias_kind":"pith_short_8","alias_value":"JRW64C3T","created_at":"2026-07-05T01:31:23Z"}],"graph_snapshots":[{"event_id":"sha256:e323b2d19418669cd1336fe6e6fd9ceea2a45f5dc3e2fa1ab2e2ae4d1dc5410d","target":"graph","created_at":"2026-07-05T01:31:23Z","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/1912.03951/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the recent developments in artificial intelligence, we introduce linear quadratic deep structured teams in this paper. Two notions of equivariant and partially equivariant systems are defined, and it is shown that such systems can be partitioned into a few sub-populations of decision makers, where every decision maker in each sub-population is coupled in both dynamics and cost function through a set of linear regressions of the states and actions of all decision makers. Two non-classical information structures are considered: deep-state sharing and partial deep-state sharing, wher","authors_text":"Amir G. Aghdam, Jalal Arabneydi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-09T10:25:49Z","title":"Deep Structured Teams with Linear Quadratic Model: Partial Equivariance and Gauge Transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.03951","kind":"arxiv","version":5},"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":"sha256:70c1c591634c92f11041332462e399da61baa7bb9727bad880cbd9119c85ebe5","target":"record","created_at":"2026-07-05T01:31:23Z","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":"3a48d2e97603fddaccf1f90cd2115f3dc7cd8a3f8fd79c13ad9ea8a743f8ddae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-12-09T10:25:49Z","title_canon_sha256":"d4fd866c830d12623fef24bda2caea1ba4e1949a1036d8a368c3ba821c881d71"},"schema_version":"1.0","source":{"id":"1912.03951","kind":"arxiv","version":5}},"canonical_sha256":"4c6dee0b732c66e174b596da073be6e1b73560cbc1e713811bedbb358f21e23a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c6dee0b732c66e174b596da073be6e1b73560cbc1e713811bedbb358f21e23a","first_computed_at":"2026-07-05T01:31:23.107085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:31:23.107085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ivTzg4l1tFgam6BW//9O7jtLTVkc96/sbN4orAQgTaeGiAcO/pJlCvextCjQpXr0z6ivFF9t1tc0/AGshiJiCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:31:23.107589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.03951","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70c1c591634c92f11041332462e399da61baa7bb9727bad880cbd9119c85ebe5","sha256:e323b2d19418669cd1336fe6e6fd9ceea2a45f5dc3e2fa1ab2e2ae4d1dc5410d"],"state_sha256":"afdcbf024fae6e0e5a16587d601906c257a2a4d54a93b98ee38e3fd7d0a6ee53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MqJtHZoptHW2JXxfBCJFle4d+fD1ITnbrbKsYg6/5Eih0s0qvG6F44i4kSCX9V92kpmW+voMKKGNoKQQjustCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T08:37:31.919316Z","bundle_sha256":"5f3cbde5a34efa30d199184deac33dcec8e38ff94390576bc20eedbb50011c93"}}