{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DAEZW566ELOOVXERAW4NR64HJD","short_pith_number":"pith:DAEZW566","canonical_record":{"source":{"id":"2512.24390","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-12-30T18:10:16Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"dfded1c994e7f1bf2149f1ce26b144d814a29d803b56ebffbfe099f3854040b1","abstract_canon_sha256":"7f4324ac8cbfa399cf8930ff075b1a76997585c88252790e4207bc267812afe6"},"schema_version":"1.0"},"canonical_sha256":"18099b77de22dceadc9105b8d8fb8748e02e580b6056b22be728a0b76b5de2db","source":{"kind":"arxiv","id":"2512.24390","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.24390","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"arxiv_version","alias_value":"2512.24390v2","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.24390","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"pith_short_12","alias_value":"DAEZW566ELOO","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"pith_short_16","alias_value":"DAEZW566ELOOVXER","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"pith_short_8","alias_value":"DAEZW566","created_at":"2026-06-24T14:15:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DAEZW566ELOOVXERAW4NR64HJD","target":"record","payload":{"canonical_record":{"source":{"id":"2512.24390","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-12-30T18:10:16Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"dfded1c994e7f1bf2149f1ce26b144d814a29d803b56ebffbfe099f3854040b1","abstract_canon_sha256":"7f4324ac8cbfa399cf8930ff075b1a76997585c88252790e4207bc267812afe6"},"schema_version":"1.0"},"canonical_sha256":"18099b77de22dceadc9105b8d8fb8748e02e580b6056b22be728a0b76b5de2db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T14:15:54.085144Z","signature_b64":"rwr4UOfIY4+c0iQW9DgHF29v+Ve64B8qhaXf92up2gxwjjVWNzkRdOW2VI3eUiK0+OxcKfBGl6Cdy9R8e243Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18099b77de22dceadc9105b8d8fb8748e02e580b6056b22be728a0b76b5de2db","last_reissued_at":"2026-06-24T14:15:54.084414Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T14:15:54.084414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.24390","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":"2026-06-24T14:15:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+aAmbkRH14res0hLGz6FnVbcLhjfbyVWfRHWFzq22A+qHdVC459jgEKcetOMIPBeYcZj+NlooQj/KEEYtejCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T04:25:24.051934Z"},"content_sha256":"19b7ef80bc00a75c49629bb24dfed79d0c49d8cbe73d5875944e71b73a74e9b1","schema_version":"1.0","event_id":"sha256:19b7ef80bc00a75c49629bb24dfed79d0c49d8cbe73d5875944e71b73a74e9b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DAEZW566ELOOVXERAW4NR64HJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Les Houches Lecture Notes on Tensor Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Bram Vancraeynest-De Cuiper, Frank Verstraete, Weronika Wiesiolek","submitted_at":"2025-12-30T18:10:16Z","abstract_excerpt":"Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entanglement structure and its associated (generalised) symmetries. In essence, tensor networks provide a compressed, holographic description of the complicated vacuum fluctuations in strongly correlated systems, and as such they break down the infamous many-body exponential wall. These lecture notes provide a concise overview of the most important conceptua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.24390","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/2512.24390/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":"2026-06-24T14:15:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Ivrxz3X7n6PpMBAhdXxBF1sQrLOsgCVhYsdNABdB7wuU0Q5i/oJyoclGDWw18Vzgzs9vq4F2jFcpX6pbYuCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T04:25:24.052330Z"},"content_sha256":"483b679e46d494fb7417ea06a287ad015076520082606eab6a43fdf305faa3a0","schema_version":"1.0","event_id":"sha256:483b679e46d494fb7417ea06a287ad015076520082606eab6a43fdf305faa3a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAEZW566ELOOVXERAW4NR64HJD/bundle.json","state_url":"https://pith.science/pith/DAEZW566ELOOVXERAW4NR64HJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAEZW566ELOOVXERAW4NR64HJD/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":"2026-07-03T04:25:24Z","links":{"resolver":"https://pith.science/pith/DAEZW566ELOOVXERAW4NR64HJD","bundle":"https://pith.science/pith/DAEZW566ELOOVXERAW4NR64HJD/bundle.json","state":"https://pith.science/pith/DAEZW566ELOOVXERAW4NR64HJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAEZW566ELOOVXERAW4NR64HJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DAEZW566ELOOVXERAW4NR64HJD","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":"7f4324ac8cbfa399cf8930ff075b1a76997585c88252790e4207bc267812afe6","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-12-30T18:10:16Z","title_canon_sha256":"dfded1c994e7f1bf2149f1ce26b144d814a29d803b56ebffbfe099f3854040b1"},"schema_version":"1.0","source":{"id":"2512.24390","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.24390","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"arxiv_version","alias_value":"2512.24390v2","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.24390","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"pith_short_12","alias_value":"DAEZW566ELOO","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"pith_short_16","alias_value":"DAEZW566ELOOVXER","created_at":"2026-06-24T14:15:54Z"},{"alias_kind":"pith_short_8","alias_value":"DAEZW566","created_at":"2026-06-24T14:15:54Z"}],"graph_snapshots":[{"event_id":"sha256:483b679e46d494fb7417ea06a287ad015076520082606eab6a43fdf305faa3a0","target":"graph","created_at":"2026-06-24T14:15:54Z","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/2512.24390/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entanglement structure and its associated (generalised) symmetries. In essence, tensor networks provide a compressed, holographic description of the complicated vacuum fluctuations in strongly correlated systems, and as such they break down the infamous many-body exponential wall. These lecture notes provide a concise overview of the most important conceptua","authors_text":"Bram Vancraeynest-De Cuiper, Frank Verstraete, Weronika Wiesiolek","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-12-30T18:10:16Z","title":"Les Houches Lecture Notes on Tensor Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.24390","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":"sha256:19b7ef80bc00a75c49629bb24dfed79d0c49d8cbe73d5875944e71b73a74e9b1","target":"record","created_at":"2026-06-24T14:15:54Z","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":"7f4324ac8cbfa399cf8930ff075b1a76997585c88252790e4207bc267812afe6","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-12-30T18:10:16Z","title_canon_sha256":"dfded1c994e7f1bf2149f1ce26b144d814a29d803b56ebffbfe099f3854040b1"},"schema_version":"1.0","source":{"id":"2512.24390","kind":"arxiv","version":2}},"canonical_sha256":"18099b77de22dceadc9105b8d8fb8748e02e580b6056b22be728a0b76b5de2db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18099b77de22dceadc9105b8d8fb8748e02e580b6056b22be728a0b76b5de2db","first_computed_at":"2026-06-24T14:15:54.084414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T14:15:54.084414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rwr4UOfIY4+c0iQW9DgHF29v+Ve64B8qhaXf92up2gxwjjVWNzkRdOW2VI3eUiK0+OxcKfBGl6Cdy9R8e243Bg==","signature_status":"signed_v1","signed_at":"2026-06-24T14:15:54.085144Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.24390","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19b7ef80bc00a75c49629bb24dfed79d0c49d8cbe73d5875944e71b73a74e9b1","sha256:483b679e46d494fb7417ea06a287ad015076520082606eab6a43fdf305faa3a0"],"state_sha256":"41314721df471718d2861ba89d47cdf4c413f6acd4ac81d46312d20a59aef8a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFpW4e/Ns5PFgj2PPiHL/RIKGH6wWV8n099JVmKPdpk7FqZW+6V7AwA5PgDlGuy9PJB9xJ9VZ1j6NusxYvL7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T04:25:24.054438Z","bundle_sha256":"f7583e5e8dcbf06dd354daa7aff3f96f40075a99992f1097741b59de57d130f8"}}