{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:MUCQPL3CLVJWQTI35RF2YHGBML","short_pith_number":"pith:MUCQPL3C","canonical_record":{"source":{"id":"1603.03039","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T21:00:02Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"f218fff43410f32628a53ba9d65339a0b2138acd5d56a405072998310d611f9b","abstract_canon_sha256":"851438510960f37cf175aad24eb61b4040a46f352773eb8365d32ff40d1b8f32"},"schema_version":"1.0"},"canonical_sha256":"650507af625d53684d1bec4bac1cc162cd17d55d40c868003cec1b5c98a473db","source":{"kind":"arxiv","id":"1603.03039","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03039","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03039v4","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03039","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"MUCQPL3CLVJW","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MUCQPL3CLVJWQTI3","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MUCQPL3C","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:MUCQPL3CLVJWQTI35RF2YHGBML","target":"record","payload":{"canonical_record":{"source":{"id":"1603.03039","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T21:00:02Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"f218fff43410f32628a53ba9d65339a0b2138acd5d56a405072998310d611f9b","abstract_canon_sha256":"851438510960f37cf175aad24eb61b4040a46f352773eb8365d32ff40d1b8f32"},"schema_version":"1.0"},"canonical_sha256":"650507af625d53684d1bec4bac1cc162cd17d55d40c868003cec1b5c98a473db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:24.860202Z","signature_b64":"WwH8fPD6QEgbVDrORYeu6uq5pKV1FybJO9n+YdTTSeWCZIoc+bo7EaBNS2/kceqqEoFNk/SIkpVyldPV+ZCyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650507af625d53684d1bec4bac1cc162cd17d55d40c868003cec1b5c98a473db","last_reissued_at":"2026-05-18T00:44:24.859661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:24.859661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.03039","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJNgGT4E53t/Vzwy0NBjkcoqTBKn3hiS2xQ+27+ZLTHIptdbw4Kh0IvTL+UK5NDZ7WhvWywZkavVGq63AV3vCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T13:42:22.431661Z"},"content_sha256":"bdd46f4c68249cd67fd34d73e7bc3a4915483974bac9d4252c4b3304e0973c24","schema_version":"1.0","event_id":"sha256:bdd46f4c68249cd67fd34d73e7bc3a4915483974bac9d4252c4b3304e0973c24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:MUCQPL3CLVJWQTI35RF2YHGBML","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Christopher T. Chubb, Jacob C. Bridgeman","submitted_at":"2016-03-09T21:00:02Z","abstract_excerpt":"The curse of dimensionality associated with the Hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. Tensor networks have proven an important tool in attempting to overcome this difficulty in both the numerical and analytic regimes.\n  These notes form the basis for a seven lecture course, introducing the basics of a range of common tensor networks and algorithms. In particular, we cover: introductory tensor network notation, applications to quantum information, basic properties of matrix product states, a classification of quantum phases us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03039","kind":"arxiv","version":4},"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":"2026-05-18T00:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJeQf8dRlxaY9v74o14TOzDMq3GItnISx+mJHbB2YRPZuMckjYdiE16jacalKydkf0qFZEvu3yX+BKFvFGgIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T13:42:22.432299Z"},"content_sha256":"2982ea93c3caa5e2506fd2cdb3f847d83068ad9fcaa282bf992ce632f5179edf","schema_version":"1.0","event_id":"sha256:2982ea93c3caa5e2506fd2cdb3f847d83068ad9fcaa282bf992ce632f5179edf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUCQPL3CLVJWQTI35RF2YHGBML/bundle.json","state_url":"https://pith.science/pith/MUCQPL3CLVJWQTI35RF2YHGBML/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUCQPL3CLVJWQTI35RF2YHGBML/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":"2026-05-21T13:42:22Z","links":{"resolver":"https://pith.science/pith/MUCQPL3CLVJWQTI35RF2YHGBML","bundle":"https://pith.science/pith/MUCQPL3CLVJWQTI35RF2YHGBML/bundle.json","state":"https://pith.science/pith/MUCQPL3CLVJWQTI35RF2YHGBML/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUCQPL3CLVJWQTI35RF2YHGBML/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MUCQPL3CLVJWQTI35RF2YHGBML","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":"851438510960f37cf175aad24eb61b4040a46f352773eb8365d32ff40d1b8f32","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T21:00:02Z","title_canon_sha256":"f218fff43410f32628a53ba9d65339a0b2138acd5d56a405072998310d611f9b"},"schema_version":"1.0","source":{"id":"1603.03039","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03039","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03039v4","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03039","created_at":"2026-05-18T00:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"MUCQPL3CLVJW","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MUCQPL3CLVJWQTI3","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MUCQPL3C","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:2982ea93c3caa5e2506fd2cdb3f847d83068ad9fcaa282bf992ce632f5179edf","target":"graph","created_at":"2026-05-18T00:44:24Z","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"},"paper":{"abstract_excerpt":"The curse of dimensionality associated with the Hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. Tensor networks have proven an important tool in attempting to overcome this difficulty in both the numerical and analytic regimes.\n  These notes form the basis for a seven lecture course, introducing the basics of a range of common tensor networks and algorithms. In particular, we cover: introductory tensor network notation, applications to quantum information, basic properties of matrix product states, a classification of quantum phases us","authors_text":"Christopher T. Chubb, Jacob C. Bridgeman","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T21:00:02Z","title":"Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03039","kind":"arxiv","version":4},"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:bdd46f4c68249cd67fd34d73e7bc3a4915483974bac9d4252c4b3304e0973c24","target":"record","created_at":"2026-05-18T00:44:24Z","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":"851438510960f37cf175aad24eb61b4040a46f352773eb8365d32ff40d1b8f32","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-03-09T21:00:02Z","title_canon_sha256":"f218fff43410f32628a53ba9d65339a0b2138acd5d56a405072998310d611f9b"},"schema_version":"1.0","source":{"id":"1603.03039","kind":"arxiv","version":4}},"canonical_sha256":"650507af625d53684d1bec4bac1cc162cd17d55d40c868003cec1b5c98a473db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"650507af625d53684d1bec4bac1cc162cd17d55d40c868003cec1b5c98a473db","first_computed_at":"2026-05-18T00:44:24.859661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:24.859661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WwH8fPD6QEgbVDrORYeu6uq5pKV1FybJO9n+YdTTSeWCZIoc+bo7EaBNS2/kceqqEoFNk/SIkpVyldPV+ZCyAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:24.860202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03039","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdd46f4c68249cd67fd34d73e7bc3a4915483974bac9d4252c4b3304e0973c24","sha256:2982ea93c3caa5e2506fd2cdb3f847d83068ad9fcaa282bf992ce632f5179edf"],"state_sha256":"ab4bf6f3ade75a68231be94c55e501ba716817a675ba4d1f165376a9ba73805f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gxIwhjcYWAk78tIhgFeUl1z12KHMfrDurLtpTVcFjUuq618xXKCPQr32i+czRn9RzoTT4Tbco/R1kBx4BeJJAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T13:42:22.434628Z","bundle_sha256":"37249a8c6f35623e1253c7f65160be9a5d40fc51b6ab245e8f7fecaeb36110c6"}}