{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VCEFFAZSSK3DEMNT4LFK65FS5F","short_pith_number":"pith:VCEFFAZS","canonical_record":{"source":{"id":"2601.16734","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-23T13:31:16Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"f0c1eff8dc7d0ca023cadaac7c35cdcff7fb8027bb5a828939e770737c474313","abstract_canon_sha256":"df2912fc02326212e88871d4e65f56eb86ddeb4376edb4e32105ac5873ed73d2"},"schema_version":"1.0"},"canonical_sha256":"a88852833292b63231b3e2caaf74b2e95bbd2a28419eb6e0dc4f5c07fd7f161e","source":{"kind":"arxiv","id":"2601.16734","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.16734","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"arxiv_version","alias_value":"2601.16734v2","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.16734","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"pith_short_12","alias_value":"VCEFFAZSSK3D","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"pith_short_16","alias_value":"VCEFFAZSSK3DEMNT","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"pith_short_8","alias_value":"VCEFFAZS","created_at":"2026-07-28T02:23:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VCEFFAZSSK3DEMNT4LFK65FS5F","target":"record","payload":{"canonical_record":{"source":{"id":"2601.16734","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-23T13:31:16Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"f0c1eff8dc7d0ca023cadaac7c35cdcff7fb8027bb5a828939e770737c474313","abstract_canon_sha256":"df2912fc02326212e88871d4e65f56eb86ddeb4376edb4e32105ac5873ed73d2"},"schema_version":"1.0"},"canonical_sha256":"a88852833292b63231b3e2caaf74b2e95bbd2a28419eb6e0dc4f5c07fd7f161e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T02:23:24.141789Z","signature_b64":"XAVZkHU7IjXUVKpbgFw+YHCFarlBkdA0g6PPY+dpH3Ns19dwD6FbshwCf9OHelceadN1dSoT+eBe71oQiilbAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a88852833292b63231b3e2caaf74b2e95bbd2a28419eb6e0dc4f5c07fd7f161e","last_reissued_at":"2026-07-28T02:23:24.140851Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T02:23:24.140851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.16734","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":"2026-07-28T02:23:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"32hWwI1MPzJ0Jc8yy94i47G3sbLWxaJgz3itO6AcnGY12qx/nPe0Yxd2w9ydbAbeIAkLmP9xbQJjI+/AYFAyBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:25:09.232823Z"},"content_sha256":"0d34f880da3eb7476484c7ed6350c511e899c18e7577d413f05f2dca3ee5b31e","schema_version":"1.0","event_id":"sha256:0d34f880da3eb7476484c7ed6350c511e899c18e7577d413f05f2dca3ee5b31e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VCEFFAZSSK3DEMNT4LFK65FS5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SeeMPS: A Python-based Matrix Product State and Tensor Train Library","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"quant-ph","authors_text":"Jorge Gidi, Juan Jos\\'e Garc\\'ia-Ripoll, Juan Jos\\'e Rodr\\'iguez-Aldavero, Paula Garc\\'ia-Molina","submitted_at":"2026-01-23T13:31:16Z","abstract_excerpt":"We introduce SeeMPS, a Python library dedicated to implementing tensor network algorithms based on the well-known Matrix Product States (MPS) and Quantized Tensor Train (QTT) formalisms. SeeMPS is implemented as a complete finite precision linear algebra package where exponentially large vector spaces are compressed using the MPS/TT formalism. It enables both low-level operations, such as vector addition, linear transformations, and Hadamard products, as well as high-level algorithms, including the approximation of linear equations, eigenvalue computations, and exponentially efficient Fourier "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.16734","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/2601.16734/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":"2026-07-28T02:23:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TtaC1bMcF3QayKV43Dn+GodNXdAJNZbMgdQv+25tE/F9++Qp4Q9kjUzz/qMm843KrlYiLccJA9479tOCrS+5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:25:09.233239Z"},"content_sha256":"79fbd457eafaa67dd7cef13f47b6b816c5d35be22384b69f63dfb0b0c1e40757","schema_version":"1.0","event_id":"sha256:79fbd457eafaa67dd7cef13f47b6b816c5d35be22384b69f63dfb0b0c1e40757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VCEFFAZSSK3DEMNT4LFK65FS5F/bundle.json","state_url":"https://pith.science/pith/VCEFFAZSSK3DEMNT4LFK65FS5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VCEFFAZSSK3DEMNT4LFK65FS5F/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":"2026-08-05T23:25:09Z","links":{"resolver":"https://pith.science/pith/VCEFFAZSSK3DEMNT4LFK65FS5F","bundle":"https://pith.science/pith/VCEFFAZSSK3DEMNT4LFK65FS5F/bundle.json","state":"https://pith.science/pith/VCEFFAZSSK3DEMNT4LFK65FS5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VCEFFAZSSK3DEMNT4LFK65FS5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VCEFFAZSSK3DEMNT4LFK65FS5F","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":"df2912fc02326212e88871d4e65f56eb86ddeb4376edb4e32105ac5873ed73d2","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-23T13:31:16Z","title_canon_sha256":"f0c1eff8dc7d0ca023cadaac7c35cdcff7fb8027bb5a828939e770737c474313"},"schema_version":"1.0","source":{"id":"2601.16734","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.16734","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"arxiv_version","alias_value":"2601.16734v2","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.16734","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"pith_short_12","alias_value":"VCEFFAZSSK3D","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"pith_short_16","alias_value":"VCEFFAZSSK3DEMNT","created_at":"2026-07-28T02:23:24Z"},{"alias_kind":"pith_short_8","alias_value":"VCEFFAZS","created_at":"2026-07-28T02:23:24Z"}],"graph_snapshots":[{"event_id":"sha256:79fbd457eafaa67dd7cef13f47b6b816c5d35be22384b69f63dfb0b0c1e40757","target":"graph","created_at":"2026-07-28T02:23:24Z","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/2601.16734/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce SeeMPS, a Python library dedicated to implementing tensor network algorithms based on the well-known Matrix Product States (MPS) and Quantized Tensor Train (QTT) formalisms. SeeMPS is implemented as a complete finite precision linear algebra package where exponentially large vector spaces are compressed using the MPS/TT formalism. It enables both low-level operations, such as vector addition, linear transformations, and Hadamard products, as well as high-level algorithms, including the approximation of linear equations, eigenvalue computations, and exponentially efficient Fourier ","authors_text":"Jorge Gidi, Juan Jos\\'e Garc\\'ia-Ripoll, Juan Jos\\'e Rodr\\'iguez-Aldavero, Paula Garc\\'ia-Molina","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-23T13:31:16Z","title":"SeeMPS: A Python-based Matrix Product State and Tensor Train Library"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.16734","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":"sha256:0d34f880da3eb7476484c7ed6350c511e899c18e7577d413f05f2dca3ee5b31e","target":"record","created_at":"2026-07-28T02:23:24Z","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":"df2912fc02326212e88871d4e65f56eb86ddeb4376edb4e32105ac5873ed73d2","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-23T13:31:16Z","title_canon_sha256":"f0c1eff8dc7d0ca023cadaac7c35cdcff7fb8027bb5a828939e770737c474313"},"schema_version":"1.0","source":{"id":"2601.16734","kind":"arxiv","version":2}},"canonical_sha256":"a88852833292b63231b3e2caaf74b2e95bbd2a28419eb6e0dc4f5c07fd7f161e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a88852833292b63231b3e2caaf74b2e95bbd2a28419eb6e0dc4f5c07fd7f161e","first_computed_at":"2026-07-28T02:23:24.140851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:23:24.140851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XAVZkHU7IjXUVKpbgFw+YHCFarlBkdA0g6PPY+dpH3Ns19dwD6FbshwCf9OHelceadN1dSoT+eBe71oQiilbAA==","signature_status":"signed_v1","signed_at":"2026-07-28T02:23:24.141789Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.16734","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d34f880da3eb7476484c7ed6350c511e899c18e7577d413f05f2dca3ee5b31e","sha256:79fbd457eafaa67dd7cef13f47b6b816c5d35be22384b69f63dfb0b0c1e40757"],"state_sha256":"057b3ab4f1117afc45b2ea50dfc39d6a1a66dced8d51138d4b00ecb5e569ca3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BIpv21SHIzNX7g1/B6oBjquYwnyyYh42ZOPEhe1XpCg4Fmg3+lDz2lP3ppyRsjLDcrCCH3WdGsLnO10AFwZRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T23:25:09.235971Z","bundle_sha256":"df4b062964e2ea09fedb9aa00abfec9aecf621ca107f34fc7e19b7d36f4a88ef"}}