{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GCXCMNBEDAUZTO3XWK6ZGMAVZ4","short_pith_number":"pith:GCXCMNBE","canonical_record":{"source":{"id":"1406.5279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-20T04:59:08Z","cross_cats_sorted":["cond-mat.str-el","cs.CC"],"title_canon_sha256":"4c14aba52bd801624fcfbd389c96e7b5cf3c8c458bfd84fefe1d2263dfd819f7","abstract_canon_sha256":"109d00e359e11fd366942b7c203a7e67e556a8ad4878e5a0a7df5816f89f4730"},"schema_version":"1.0"},"canonical_sha256":"30ae263424182999bb77b2bd933015cf3a3f7e94f4fbb8cd89918d8393afafae","source":{"kind":"arxiv","id":"1406.5279","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5279","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5279v2","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5279","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"GCXCMNBEDAUZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GCXCMNBEDAUZTO3X","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GCXCMNBE","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GCXCMNBEDAUZTO3XWK6ZGMAVZ4","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-20T04:59:08Z","cross_cats_sorted":["cond-mat.str-el","cs.CC"],"title_canon_sha256":"4c14aba52bd801624fcfbd389c96e7b5cf3c8c458bfd84fefe1d2263dfd819f7","abstract_canon_sha256":"109d00e359e11fd366942b7c203a7e67e556a8ad4878e5a0a7df5816f89f4730"},"schema_version":"1.0"},"canonical_sha256":"30ae263424182999bb77b2bd933015cf3a3f7e94f4fbb8cd89918d8393afafae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:43.931291Z","signature_b64":"FgERudsXpDLtfp5SWCsKk27opR+zTYYb5J/E/9NeXlN8joYNCC6/Q++OW05kwAK49JZ01tIc1BqiK0LLryb8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30ae263424182999bb77b2bd933015cf3a3f7e94f4fbb8cd89918d8393afafae","last_reissued_at":"2026-05-17T23:42:43.930717Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:43.930717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5279","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":"2026-05-17T23:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DYYfj8LfT5bwgnoFFTyoHOE1QrQOI9T68bvK88pt5LvQ9YtarhjmpKX7fZciffxltZXE5NwFNafC/XlVHiEvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:48:50.048407Z"},"content_sha256":"ef7f18e83bffd7b5c898f7614295f42d28246a23a2566bc5f78cc97b16e68896","schema_version":"1.0","event_id":"sha256:ef7f18e83bffd7b5c898f7614295f42d28246a23a2566bc5f78cc97b16e68896"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GCXCMNBEDAUZTO3XWK6ZGMAVZ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tensor network non-zero testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","cs.CC"],"primary_cat":"quant-ph","authors_text":"Guoming Wang, Seung Woo Shin, Sevag Gharibian, Zeph Landau","submitted_at":"2014-06-20T04:59:08Z","abstract_excerpt":"Tensor networks are a central tool in condensed matter physics. In this paper, we study the task of tensor network non-zero testing (TNZ): Given a tensor network T, does T represent a non-zero vector? We show that TNZ is not in the Polynomial-Time Hierarchy unless the hierarchy collapses. We next show (among other results) that the special cases of TNZ on non-negative and injective tensor networks are in NP. Using this, we make a simple observation: The commuting variant of the MA-complete stoquastic k-SAT problem on D-dimensional qudits is in NP for logarithmic k and constant D. This reveals "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5279","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":""},"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":"2026-05-17T23:42:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7jpAp1x2UhaPv/ZSVeau3XFGkdGBR+i0nlCyjm3uYMRItKoem5ojDCpR2ZKZzWZYBcW0l7M8YUfAYhmK0uZgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:48:50.048769Z"},"content_sha256":"ea2085320b0274aba7f59bd570ff3c51d31779d25fcc39f00226e44e57da0737","schema_version":"1.0","event_id":"sha256:ea2085320b0274aba7f59bd570ff3c51d31779d25fcc39f00226e44e57da0737"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4/bundle.json","state_url":"https://pith.science/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4/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":"2026-06-01T02:48:50Z","links":{"resolver":"https://pith.science/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4","bundle":"https://pith.science/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4/bundle.json","state":"https://pith.science/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCXCMNBEDAUZTO3XWK6ZGMAVZ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GCXCMNBEDAUZTO3XWK6ZGMAVZ4","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":"109d00e359e11fd366942b7c203a7e67e556a8ad4878e5a0a7df5816f89f4730","cross_cats_sorted":["cond-mat.str-el","cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-20T04:59:08Z","title_canon_sha256":"4c14aba52bd801624fcfbd389c96e7b5cf3c8c458bfd84fefe1d2263dfd819f7"},"schema_version":"1.0","source":{"id":"1406.5279","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5279","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5279v2","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5279","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"GCXCMNBEDAUZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GCXCMNBEDAUZTO3X","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GCXCMNBE","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:ea2085320b0274aba7f59bd570ff3c51d31779d25fcc39f00226e44e57da0737","target":"graph","created_at":"2026-05-17T23:42:43Z","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"},"paper":{"abstract_excerpt":"Tensor networks are a central tool in condensed matter physics. In this paper, we study the task of tensor network non-zero testing (TNZ): Given a tensor network T, does T represent a non-zero vector? We show that TNZ is not in the Polynomial-Time Hierarchy unless the hierarchy collapses. We next show (among other results) that the special cases of TNZ on non-negative and injective tensor networks are in NP. Using this, we make a simple observation: The commuting variant of the MA-complete stoquastic k-SAT problem on D-dimensional qudits is in NP for logarithmic k and constant D. This reveals ","authors_text":"Guoming Wang, Seung Woo Shin, Sevag Gharibian, Zeph Landau","cross_cats":["cond-mat.str-el","cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-20T04:59:08Z","title":"Tensor network non-zero testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5279","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:ef7f18e83bffd7b5c898f7614295f42d28246a23a2566bc5f78cc97b16e68896","target":"record","created_at":"2026-05-17T23:42:43Z","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":"109d00e359e11fd366942b7c203a7e67e556a8ad4878e5a0a7df5816f89f4730","cross_cats_sorted":["cond-mat.str-el","cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-06-20T04:59:08Z","title_canon_sha256":"4c14aba52bd801624fcfbd389c96e7b5cf3c8c458bfd84fefe1d2263dfd819f7"},"schema_version":"1.0","source":{"id":"1406.5279","kind":"arxiv","version":2}},"canonical_sha256":"30ae263424182999bb77b2bd933015cf3a3f7e94f4fbb8cd89918d8393afafae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30ae263424182999bb77b2bd933015cf3a3f7e94f4fbb8cd89918d8393afafae","first_computed_at":"2026-05-17T23:42:43.930717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:43.930717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FgERudsXpDLtfp5SWCsKk27opR+zTYYb5J/E/9NeXlN8joYNCC6/Q++OW05kwAK49JZ01tIc1BqiK0LLryb8AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:43.931291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5279","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef7f18e83bffd7b5c898f7614295f42d28246a23a2566bc5f78cc97b16e68896","sha256:ea2085320b0274aba7f59bd570ff3c51d31779d25fcc39f00226e44e57da0737"],"state_sha256":"25913f1e353bfcc7e266881e0ec5d4409df0ce3e5ca1f83775f49dc4e6191c1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cnV/oMIh8CVmUBwAVkJAR2vgshTp3q4ZBAeTmBpTpkU3pklpYlmoLBjNv3qhP1zMYbb2rQmI39eA8kgSya9RDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:48:50.050829Z","bundle_sha256":"80885747c9fb3a2f8356e6ee659c4312802f320323a71dc2008fcc4458866406"}}