{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:E525X2U3G7NO3CGCAXRBRULTPP","short_pith_number":"pith:E525X2U3","canonical_record":{"source":{"id":"2109.06957","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-14T20:34:28Z","cross_cats_sorted":[],"title_canon_sha256":"be430f2aa23a5f3baa151660f7760aa65d1653e986297b739deb40036633adbf","abstract_canon_sha256":"6d3c4aa08e6205ea135bd63a8bf0b90d62334fb2ad0913f5ee41a68cc9f40ab1"},"schema_version":"1.0"},"canonical_sha256":"2775dbea9b37daed88c205e218d1737bce6a2f42eb17ce3a36248b513debe5e9","source":{"kind":"arxiv","id":"2109.06957","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.06957","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"2109.06957v3","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.06957","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"E525X2U3G7NO","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"E525X2U3G7NO3CGC","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"E525X2U3","created_at":"2026-07-05T05:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:E525X2U3G7NO3CGCAXRBRULTPP","target":"record","payload":{"canonical_record":{"source":{"id":"2109.06957","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-14T20:34:28Z","cross_cats_sorted":[],"title_canon_sha256":"be430f2aa23a5f3baa151660f7760aa65d1653e986297b739deb40036633adbf","abstract_canon_sha256":"6d3c4aa08e6205ea135bd63a8bf0b90d62334fb2ad0913f5ee41a68cc9f40ab1"},"schema_version":"1.0"},"canonical_sha256":"2775dbea9b37daed88c205e218d1737bce6a2f42eb17ce3a36248b513debe5e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:32:28.807538Z","signature_b64":"k8BYQ2TbmN3Z6+Dy4v3edXFGt5q94K3wbhyeIfnEMecIepUeKoiDLCwlip9+YlHMIvj22hrK3InQ5BL12EgABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2775dbea9b37daed88c205e218d1737bce6a2f42eb17ce3a36248b513debe5e9","last_reissued_at":"2026-07-05T05:32:28.807019Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:32:28.807019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.06957","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:32:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1nuZcsMV0eY8sESZoyJBNvqUG6C0cLjpyD+yeLQ47YfRC+sm/RfzTv0xypX3QF9WoeKHEqWSwDiYMew1mU7CDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:11:51.162106Z"},"content_sha256":"d3cb6da72a838b9f1a89e5485e82e39869457d034e314bdc9c8abb22dd8b9f23","schema_version":"1.0","event_id":"sha256:d3cb6da72a838b9f1a89e5485e82e39869457d034e314bdc9c8abb22dd8b9f23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:E525X2U3G7NO3CGCAXRBRULTPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical Points in Quantum Generative Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric R. Anschuetz","submitted_at":"2021-09-14T20:34:28Z","abstract_excerpt":"One of the most important properties of neural networks is the clustering of local minima of the loss function near the global minimum, enabling efficient training. Though generative models implemented on quantum computers are known to be more expressive than their traditional counterparts, it has empirically been observed that these models experience a transition in the quality of their local minima. Namely, below some critical number of parameters, all local minima are far from the global minimum in function value; above this critical parameter count, all local minima are good approximators "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.06957","kind":"arxiv","version":3},"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/2109.06957/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":"2026-07-05T05:32:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vc1hxgyZpO5htGfIDqEGsRLt91ciVcQ67eJWopdMGkM1KcH+HDVSDlLcVYPGFIzTTZFNskaFzgKcJTZo8QxiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T22:11:51.162851Z"},"content_sha256":"5673d4fda7967cd64b0118202c01990ccf03c9c2de28ce5f6f4e8908288d6062","schema_version":"1.0","event_id":"sha256:5673d4fda7967cd64b0118202c01990ccf03c9c2de28ce5f6f4e8908288d6062"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E525X2U3G7NO3CGCAXRBRULTPP/bundle.json","state_url":"https://pith.science/pith/E525X2U3G7NO3CGCAXRBRULTPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E525X2U3G7NO3CGCAXRBRULTPP/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":"2026-08-16T22:11:51Z","links":{"resolver":"https://pith.science/pith/E525X2U3G7NO3CGCAXRBRULTPP","bundle":"https://pith.science/pith/E525X2U3G7NO3CGCAXRBRULTPP/bundle.json","state":"https://pith.science/pith/E525X2U3G7NO3CGCAXRBRULTPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E525X2U3G7NO3CGCAXRBRULTPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:E525X2U3G7NO3CGCAXRBRULTPP","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":"6d3c4aa08e6205ea135bd63a8bf0b90d62334fb2ad0913f5ee41a68cc9f40ab1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-14T20:34:28Z","title_canon_sha256":"be430f2aa23a5f3baa151660f7760aa65d1653e986297b739deb40036633adbf"},"schema_version":"1.0","source":{"id":"2109.06957","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.06957","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"2109.06957v3","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.06957","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"E525X2U3G7NO","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"E525X2U3G7NO3CGC","created_at":"2026-07-05T05:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"E525X2U3","created_at":"2026-07-05T05:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:5673d4fda7967cd64b0118202c01990ccf03c9c2de28ce5f6f4e8908288d6062","target":"graph","created_at":"2026-07-05T05:32:28Z","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/2109.06957/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One of the most important properties of neural networks is the clustering of local minima of the loss function near the global minimum, enabling efficient training. Though generative models implemented on quantum computers are known to be more expressive than their traditional counterparts, it has empirically been observed that these models experience a transition in the quality of their local minima. Namely, below some critical number of parameters, all local minima are far from the global minimum in function value; above this critical parameter count, all local minima are good approximators ","authors_text":"Eric R. Anschuetz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-14T20:34:28Z","title":"Critical Points in Quantum Generative Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.06957","kind":"arxiv","version":3},"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:d3cb6da72a838b9f1a89e5485e82e39869457d034e314bdc9c8abb22dd8b9f23","target":"record","created_at":"2026-07-05T05:32:28Z","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":"6d3c4aa08e6205ea135bd63a8bf0b90d62334fb2ad0913f5ee41a68cc9f40ab1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-14T20:34:28Z","title_canon_sha256":"be430f2aa23a5f3baa151660f7760aa65d1653e986297b739deb40036633adbf"},"schema_version":"1.0","source":{"id":"2109.06957","kind":"arxiv","version":3}},"canonical_sha256":"2775dbea9b37daed88c205e218d1737bce6a2f42eb17ce3a36248b513debe5e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2775dbea9b37daed88c205e218d1737bce6a2f42eb17ce3a36248b513debe5e9","first_computed_at":"2026-07-05T05:32:28.807019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:32:28.807019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k8BYQ2TbmN3Z6+Dy4v3edXFGt5q94K3wbhyeIfnEMecIepUeKoiDLCwlip9+YlHMIvj22hrK3InQ5BL12EgABA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:32:28.807538Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.06957","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3cb6da72a838b9f1a89e5485e82e39869457d034e314bdc9c8abb22dd8b9f23","sha256:5673d4fda7967cd64b0118202c01990ccf03c9c2de28ce5f6f4e8908288d6062"],"state_sha256":"c6f9a2cd77092609a50b7d4ad5e15e4fc6a3b97e68752cb44ccf968fb219d667"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4y4SxXbI4ML7R/GjernkkDYATi9EDP+6amFvvK479SIc7tCYdtBgKskD/ThiGRznD61OCjqsXttiqeSiZ7OAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T22:11:51.168255Z","bundle_sha256":"5d0e978d8e28eca1d0bd28a879931a835b14ce67e91bcdcfc17c5746ec1c7669"}}