{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:3XYZKM6MXBT2YP7IBEH6MBWGXA","short_pith_number":"pith:3XYZKM6M","canonical_record":{"source":{"id":"1903.09439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-03-22T10:46:13Z","cross_cats_sorted":["cond-mat.str-el","math.MP","quant-ph"],"title_canon_sha256":"cebc2273e773316c581ce4affba54a02f7bb97c128e3e7a4d6a36647c5fba044","abstract_canon_sha256":"c036ea3185d0251cdcbcddc5498a27bcecec1683fcce8598447d8e959a5fd32e"},"schema_version":"1.0"},"canonical_sha256":"ddf19533ccb867ac3fe8090fe606c6b805f0c901a41dbb34df5727ab0b904c0e","source":{"kind":"arxiv","id":"1903.09439","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09439","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09439v2","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09439","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"3XYZKM6MXBT2","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XYZKM6MXBT2YP7I","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XYZKM6M","created_at":"2026-07-05T00:48:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:3XYZKM6MXBT2YP7IBEH6MBWGXA","target":"record","payload":{"canonical_record":{"source":{"id":"1903.09439","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-03-22T10:46:13Z","cross_cats_sorted":["cond-mat.str-el","math.MP","quant-ph"],"title_canon_sha256":"cebc2273e773316c581ce4affba54a02f7bb97c128e3e7a4d6a36647c5fba044","abstract_canon_sha256":"c036ea3185d0251cdcbcddc5498a27bcecec1683fcce8598447d8e959a5fd32e"},"schema_version":"1.0"},"canonical_sha256":"ddf19533ccb867ac3fe8090fe606c6b805f0c901a41dbb34df5727ab0b904c0e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:58.739200Z","signature_b64":"YgR0rlxOlV/5XkqC1BtL4XtOTBQWRBg4PMpjxoAKPvuGlP7imouZvCBNSHbbB/OyYafXevE26I5Eet1+gZyoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddf19533ccb867ac3fe8090fe606c6b805f0c901a41dbb34df5727ab0b904c0e","last_reissued_at":"2026-07-05T00:48:58.738768Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:58.738768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.09439","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":"2026-07-05T00:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jA9/eYzniMuJeGmaxoKH5TAXyDJ6HyFEKpKqFksN4Os/XE8c2Gsv1uQFNzITinP+9nfSO6Tao1D15EiWFvkzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T02:44:19.758027Z"},"content_sha256":"66d2a0b4edd481527ee0363937590d79c11e93e9c366cc20d4ea922f582041f5","schema_version":"1.0","event_id":"sha256:66d2a0b4edd481527ee0363937590d79c11e93e9c366cc20d4ea922f582041f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:3XYZKM6MXBT2YP7IBEH6MBWGXA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathematical open problems in Projected Entangled Pair States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"David P\\'erez-Garc\\'ia, J. Ignacio Cirac, Jos\\'e Garre-Rubio","submitted_at":"2019-03-22T10:46:13Z","abstract_excerpt":"Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09439","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/1903.09439/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":"2026-07-05T00:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+l85sjaWdPFZs4mFV8TxuTNKUinSJLjEwVqXSUW2who3ANYjy6jgLEOyb8dMTBWsQD8YBV5Ss91M5luqD6AeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T02:44:19.758596Z"},"content_sha256":"f408c337b3f13d82181ae15b9587ce589ba153042114d4f45183d65d908b2dba","schema_version":"1.0","event_id":"sha256:f408c337b3f13d82181ae15b9587ce589ba153042114d4f45183d65d908b2dba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA/bundle.json","state_url":"https://pith.science/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA/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":"2026-08-16T02:44:19Z","links":{"resolver":"https://pith.science/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA","bundle":"https://pith.science/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA/bundle.json","state":"https://pith.science/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XYZKM6MXBT2YP7IBEH6MBWGXA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3XYZKM6MXBT2YP7IBEH6MBWGXA","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":"c036ea3185d0251cdcbcddc5498a27bcecec1683fcce8598447d8e959a5fd32e","cross_cats_sorted":["cond-mat.str-el","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-03-22T10:46:13Z","title_canon_sha256":"cebc2273e773316c581ce4affba54a02f7bb97c128e3e7a4d6a36647c5fba044"},"schema_version":"1.0","source":{"id":"1903.09439","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09439","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09439v2","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09439","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"3XYZKM6MXBT2","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XYZKM6MXBT2YP7I","created_at":"2026-07-05T00:48:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XYZKM6M","created_at":"2026-07-05T00:48:58Z"}],"graph_snapshots":[{"event_id":"sha256:f408c337b3f13d82181ae15b9587ce589ba153042114d4f45183d65d908b2dba","target":"graph","created_at":"2026-07-05T00:48:58Z","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/1903.09439/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS.","authors_text":"David P\\'erez-Garc\\'ia, J. Ignacio Cirac, Jos\\'e Garre-Rubio","cross_cats":["cond-mat.str-el","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-03-22T10:46:13Z","title":"Mathematical open problems in Projected Entangled Pair States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09439","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":"sha256:66d2a0b4edd481527ee0363937590d79c11e93e9c366cc20d4ea922f582041f5","target":"record","created_at":"2026-07-05T00:48:58Z","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":"c036ea3185d0251cdcbcddc5498a27bcecec1683fcce8598447d8e959a5fd32e","cross_cats_sorted":["cond-mat.str-el","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-03-22T10:46:13Z","title_canon_sha256":"cebc2273e773316c581ce4affba54a02f7bb97c128e3e7a4d6a36647c5fba044"},"schema_version":"1.0","source":{"id":"1903.09439","kind":"arxiv","version":2}},"canonical_sha256":"ddf19533ccb867ac3fe8090fe606c6b805f0c901a41dbb34df5727ab0b904c0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddf19533ccb867ac3fe8090fe606c6b805f0c901a41dbb34df5727ab0b904c0e","first_computed_at":"2026-07-05T00:48:58.738768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:48:58.738768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YgR0rlxOlV/5XkqC1BtL4XtOTBQWRBg4PMpjxoAKPvuGlP7imouZvCBNSHbbB/OyYafXevE26I5Eet1+gZyoBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:48:58.739200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09439","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66d2a0b4edd481527ee0363937590d79c11e93e9c366cc20d4ea922f582041f5","sha256:f408c337b3f13d82181ae15b9587ce589ba153042114d4f45183d65d908b2dba"],"state_sha256":"fc5e44a5a66376848b07c6564de8c5e2ca57115efb55a5114a1c96d7315f803f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xljtmNOZSYVIWdZwQ1HPszCU/z5suhnYJWQtQvTD2d1ei+APbEMbaPgDDCGGIA5cbH4B8tKwYpT+nUblHz4LCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T02:44:19.764209Z","bundle_sha256":"f6a05bee750dd25d2d28e80acee1e4f91462db3140a2f079a00d3311b1ff6aa5"}}