{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NZTFQQUWPHAVY7FZR6YHDTLX5Z","short_pith_number":"pith:NZTFQQUW","canonical_record":{"source":{"id":"2601.03885","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-07T12:54:06Z","cross_cats_sorted":["cs.GR","cs.NA","quant-ph"],"title_canon_sha256":"0cec53742534f6c3cd62a86c6ec0494de63ad347eea3a761e20b3d1cbf01a8ae","abstract_canon_sha256":"48c0b4cb47c32e30dfee623c5819c408e88e85c4bb639421960f09014123dadb"},"schema_version":"1.0"},"canonical_sha256":"6e6658429679c15c7cb98fb071cd77ee42aed00362ef78b9d1bab09fd32d44ff","source":{"kind":"arxiv","id":"2601.03885","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.03885","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"arxiv_version","alias_value":"2601.03885v2","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.03885","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"pith_short_12","alias_value":"NZTFQQUWPHAV","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"pith_short_16","alias_value":"NZTFQQUWPHAVY7FZ","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"pith_short_8","alias_value":"NZTFQQUW","created_at":"2026-06-19T16:12:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NZTFQQUWPHAVY7FZR6YHDTLX5Z","target":"record","payload":{"canonical_record":{"source":{"id":"2601.03885","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-07T12:54:06Z","cross_cats_sorted":["cs.GR","cs.NA","quant-ph"],"title_canon_sha256":"0cec53742534f6c3cd62a86c6ec0494de63ad347eea3a761e20b3d1cbf01a8ae","abstract_canon_sha256":"48c0b4cb47c32e30dfee623c5819c408e88e85c4bb639421960f09014123dadb"},"schema_version":"1.0"},"canonical_sha256":"6e6658429679c15c7cb98fb071cd77ee42aed00362ef78b9d1bab09fd32d44ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:17.544595Z","signature_b64":"zZT24oCwGpWc/cppy3wnqBBggwURliQjqjacF34QJx5WdiUZ/9ZemgNF3n9GCKk1MSUtkrhJJwJU3sbDz8rsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e6658429679c15c7cb98fb071cd77ee42aed00362ef78b9d1bab09fd32d44ff","last_reissued_at":"2026-06-19T16:12:17.544105Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:17.544105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.03885","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":"2026-06-19T16:12:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IuEccnWz6Mnk2TXd1SfNmkWheAO2mVo3pnuLXUZjKNMY1aYFxtNNSyfQaOScMbtb/JhRxGtxha3bDx7uiNnUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-24T19:57:58.527907Z"},"content_sha256":"214307b5fc219265f2547dc1cbdd3cb18dbd67d2d4fa88368e5b233e501a4d6b","schema_version":"1.0","event_id":"sha256:214307b5fc219265f2547dc1cbdd3cb18dbd67d2d4fa88368e5b233e501a4d6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NZTFQQUWPHAVY7FZR6YHDTLX5Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient upsampling for tensor-network and quantum-state encoded functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GR","cs.NA","quant-ph"],"primary_cat":"math.NA","authors_text":"Egor Tiunov, Leandro Aolita, Siddhartha E. Guzman","submitted_at":"2026-01-07T12:54:06Z","abstract_excerpt":"Both tensor trains (TTs) and quantum states provide compressed representations of grid-structured data with potentially exponential compression power. We present a unified framework for upsampling data encoded in vector amplitudes, with efficient realizations in both classical TT and quantum settings. Starting from an \\(n\\)-core TT or an \\(n\\)-qubit state on a coarse grid with \\(2^n\\) points, the construction produces an \\((n+m)\\)-core TT or \\((n+m)\\)-qubit state on a finer grid with \\(2^{n+m}\\) points. In the TT setting, it supports interpolation, quasi-interpolation, augmentation, and synthe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.03885","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/2601.03885/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":"2026-06-19T16:12:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uDsRtlV1Wh8xIjigvzYUD9r44AQ0WJoPOWxmc5ppYjFVliFa4UTke5Ocjrp61+jVG3P9IfvkLMY/MshGC95mAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-24T19:57:58.528298Z"},"content_sha256":"909e1d9ce82c210a36f14fb24280f8d04e93c2d637455ccb227baf1e522dc49f","schema_version":"1.0","event_id":"sha256:909e1d9ce82c210a36f14fb24280f8d04e93c2d637455ccb227baf1e522dc49f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z/bundle.json","state_url":"https://pith.science/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z/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":"2026-07-24T19:57:58Z","links":{"resolver":"https://pith.science/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z","bundle":"https://pith.science/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z/bundle.json","state":"https://pith.science/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NZTFQQUWPHAVY7FZR6YHDTLX5Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NZTFQQUWPHAVY7FZR6YHDTLX5Z","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":"48c0b4cb47c32e30dfee623c5819c408e88e85c4bb639421960f09014123dadb","cross_cats_sorted":["cs.GR","cs.NA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-07T12:54:06Z","title_canon_sha256":"0cec53742534f6c3cd62a86c6ec0494de63ad347eea3a761e20b3d1cbf01a8ae"},"schema_version":"1.0","source":{"id":"2601.03885","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.03885","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"arxiv_version","alias_value":"2601.03885v2","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.03885","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"pith_short_12","alias_value":"NZTFQQUWPHAV","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"pith_short_16","alias_value":"NZTFQQUWPHAVY7FZ","created_at":"2026-06-19T16:12:17Z"},{"alias_kind":"pith_short_8","alias_value":"NZTFQQUW","created_at":"2026-06-19T16:12:17Z"}],"graph_snapshots":[{"event_id":"sha256:909e1d9ce82c210a36f14fb24280f8d04e93c2d637455ccb227baf1e522dc49f","target":"graph","created_at":"2026-06-19T16:12:17Z","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/2601.03885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Both tensor trains (TTs) and quantum states provide compressed representations of grid-structured data with potentially exponential compression power. We present a unified framework for upsampling data encoded in vector amplitudes, with efficient realizations in both classical TT and quantum settings. Starting from an \\(n\\)-core TT or an \\(n\\)-qubit state on a coarse grid with \\(2^n\\) points, the construction produces an \\((n+m)\\)-core TT or \\((n+m)\\)-qubit state on a finer grid with \\(2^{n+m}\\) points. In the TT setting, it supports interpolation, quasi-interpolation, augmentation, and synthe","authors_text":"Egor Tiunov, Leandro Aolita, Siddhartha E. Guzman","cross_cats":["cs.GR","cs.NA","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-07T12:54:06Z","title":"Efficient upsampling for tensor-network and quantum-state encoded functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.03885","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":"sha256:214307b5fc219265f2547dc1cbdd3cb18dbd67d2d4fa88368e5b233e501a4d6b","target":"record","created_at":"2026-06-19T16:12:17Z","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":"48c0b4cb47c32e30dfee623c5819c408e88e85c4bb639421960f09014123dadb","cross_cats_sorted":["cs.GR","cs.NA","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-01-07T12:54:06Z","title_canon_sha256":"0cec53742534f6c3cd62a86c6ec0494de63ad347eea3a761e20b3d1cbf01a8ae"},"schema_version":"1.0","source":{"id":"2601.03885","kind":"arxiv","version":2}},"canonical_sha256":"6e6658429679c15c7cb98fb071cd77ee42aed00362ef78b9d1bab09fd32d44ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e6658429679c15c7cb98fb071cd77ee42aed00362ef78b9d1bab09fd32d44ff","first_computed_at":"2026-06-19T16:12:17.544105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:17.544105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zZT24oCwGpWc/cppy3wnqBBggwURliQjqjacF34QJx5WdiUZ/9ZemgNF3n9GCKk1MSUtkrhJJwJU3sbDz8rsBQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:17.544595Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.03885","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:214307b5fc219265f2547dc1cbdd3cb18dbd67d2d4fa88368e5b233e501a4d6b","sha256:909e1d9ce82c210a36f14fb24280f8d04e93c2d637455ccb227baf1e522dc49f"],"state_sha256":"88e820f211eb2757d132ace98bdaa283220828ca92b143ea34a77d79dd269fd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tsLQ486WKDYSMu2MZnZrP54QPR86LfVEpT6nXnVvealj/DYEZXmkzK75jGCPHyKxV+B1jnw+sAC5lTm0NZ2hAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-24T19:57:58.530580Z","bundle_sha256":"c63fcc3f558cad2836eec4737707b566afb9cb184871801a082b04ddac7be69b"}}