{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:M4JAJF2BD3GTP2WH6FNAQZ5TQS","short_pith_number":"pith:M4JAJF2B","canonical_record":{"source":{"id":"2501.12291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-21T17:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"b03a3728799b23552542b5b3d0f0e528ebb9ecc0839cfaac9da1c2a6731af3df","abstract_canon_sha256":"dd70c96045524d2552260fc573076b6d346be1fe05e0145238d944215a1484d6"},"schema_version":"1.0"},"canonical_sha256":"67120497411ecd37eac7f15a0867b384a7e5d0d035e279abb8930025153912cf","source":{"kind":"arxiv","id":"2501.12291","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12291","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12291v1","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12291","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"M4JAJF2BD3GT","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"pith_short_16","alias_value":"M4JAJF2BD3GTP2WH","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"pith_short_8","alias_value":"M4JAJF2B","created_at":"2026-07-05T10:03:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:M4JAJF2BD3GTP2WH6FNAQZ5TQS","target":"record","payload":{"canonical_record":{"source":{"id":"2501.12291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-21T17:00:15Z","cross_cats_sorted":[],"title_canon_sha256":"b03a3728799b23552542b5b3d0f0e528ebb9ecc0839cfaac9da1c2a6731af3df","abstract_canon_sha256":"dd70c96045524d2552260fc573076b6d346be1fe05e0145238d944215a1484d6"},"schema_version":"1.0"},"canonical_sha256":"67120497411ecd37eac7f15a0867b384a7e5d0d035e279abb8930025153912cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:03:34.159631Z","signature_b64":"t52A/9w5B694Y58zm+k+0dtcDRfPHJzvi//rh4jsVJVRJ07G/PjC7XOI0yfDxWjqJnm3tBrL50ZMkg1awlmBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67120497411ecd37eac7f15a0867b384a7e5d0d035e279abb8930025153912cf","last_reissued_at":"2026-07-05T10:03:34.159227Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:03:34.159227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.12291","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wBLavpue7xbxCz6xkaLD+1atpNofIAc6EAjafiZO+R1Xji2g/BzafX9n71S8moaA3RxewMrSS5jBy7AGtIRoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:38:10.116482Z"},"content_sha256":"8954e55fbb5366b26a7a51e3f716bb9f54cc0f9d7e0cd1f0b5d10aec8f4f88a8","schema_version":"1.0","event_id":"sha256:8954e55fbb5366b26a7a51e3f716bb9f54cc0f9d7e0cd1f0b5d10aec8f4f88a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:M4JAJF2BD3GTP2WH6FNAQZ5TQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reply to comment on \"Controlled bond expansion for Density Matrix Renormalization Group ground state search at single-site costs\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andreas Gleis, Jan von Delft, Jheng-Wei Li","submitted_at":"2025-01-21T17:00:15Z","abstract_excerpt":"We reply to McCulloch and Osborne's recent comment on our manuscript (Phys. Rev. Lett. 130, 246402 (2023)) on controlled bond expansion (CBE) for density matrix renormalization group (DMRG) ground state search. We appreciate their suggestion to consider randomized SVD and address their constructive critique on the variational properties of CBE-DMRG. However, we strongly disagree with their proposal to omit the projection to the 2-site tangent space and explain its importance for efficient bond expansion. In particular, in the context of CBE applied to the time-dependent variational principle ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12291","kind":"arxiv","version":1},"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/2501.12291/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":"2026-07-05T10:03:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X5ik/bswaDQRCngPrUMdT6fSvkX7BC00bLTTHLE2taZEcu5g+1rNl16eX3E9+Trzz6zcp0DR2k6nRRlQ4U7OAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:38:10.117107Z"},"content_sha256":"af31f1a35c20f4483feeb5a0f2a423ca97496266c020601f861230afc2b2bf2d","schema_version":"1.0","event_id":"sha256:af31f1a35c20f4483feeb5a0f2a423ca97496266c020601f861230afc2b2bf2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS/bundle.json","state_url":"https://pith.science/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS/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":"2026-08-05T07:38:10Z","links":{"resolver":"https://pith.science/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS","bundle":"https://pith.science/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS/bundle.json","state":"https://pith.science/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M4JAJF2BD3GTP2WH6FNAQZ5TQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:M4JAJF2BD3GTP2WH6FNAQZ5TQS","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":"dd70c96045524d2552260fc573076b6d346be1fe05e0145238d944215a1484d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-21T17:00:15Z","title_canon_sha256":"b03a3728799b23552542b5b3d0f0e528ebb9ecc0839cfaac9da1c2a6731af3df"},"schema_version":"1.0","source":{"id":"2501.12291","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12291","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12291v1","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12291","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"pith_short_12","alias_value":"M4JAJF2BD3GT","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"pith_short_16","alias_value":"M4JAJF2BD3GTP2WH","created_at":"2026-07-05T10:03:34Z"},{"alias_kind":"pith_short_8","alias_value":"M4JAJF2B","created_at":"2026-07-05T10:03:34Z"}],"graph_snapshots":[{"event_id":"sha256:af31f1a35c20f4483feeb5a0f2a423ca97496266c020601f861230afc2b2bf2d","target":"graph","created_at":"2026-07-05T10:03:34Z","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/2501.12291/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We reply to McCulloch and Osborne's recent comment on our manuscript (Phys. Rev. Lett. 130, 246402 (2023)) on controlled bond expansion (CBE) for density matrix renormalization group (DMRG) ground state search. We appreciate their suggestion to consider randomized SVD and address their constructive critique on the variational properties of CBE-DMRG. However, we strongly disagree with their proposal to omit the projection to the 2-site tangent space and explain its importance for efficient bond expansion. In particular, in the context of CBE applied to the time-dependent variational principle (","authors_text":"Andreas Gleis, Jan von Delft, Jheng-Wei Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-21T17:00:15Z","title":"Reply to comment on \"Controlled bond expansion for Density Matrix Renormalization Group ground state search at single-site costs\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12291","kind":"arxiv","version":1},"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":"sha256:8954e55fbb5366b26a7a51e3f716bb9f54cc0f9d7e0cd1f0b5d10aec8f4f88a8","target":"record","created_at":"2026-07-05T10:03:34Z","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":"dd70c96045524d2552260fc573076b6d346be1fe05e0145238d944215a1484d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-21T17:00:15Z","title_canon_sha256":"b03a3728799b23552542b5b3d0f0e528ebb9ecc0839cfaac9da1c2a6731af3df"},"schema_version":"1.0","source":{"id":"2501.12291","kind":"arxiv","version":1}},"canonical_sha256":"67120497411ecd37eac7f15a0867b384a7e5d0d035e279abb8930025153912cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67120497411ecd37eac7f15a0867b384a7e5d0d035e279abb8930025153912cf","first_computed_at":"2026-07-05T10:03:34.159227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:03:34.159227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t52A/9w5B694Y58zm+k+0dtcDRfPHJzvi//rh4jsVJVRJ07G/PjC7XOI0yfDxWjqJnm3tBrL50ZMkg1awlmBCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:03:34.159631Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.12291","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8954e55fbb5366b26a7a51e3f716bb9f54cc0f9d7e0cd1f0b5d10aec8f4f88a8","sha256:af31f1a35c20f4483feeb5a0f2a423ca97496266c020601f861230afc2b2bf2d"],"state_sha256":"ba738266e4be62ac36cd36533e7a5ea3dd90a0e669486b4fedf490b8417a816f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S9TefyXjUd9gvXqRAhHsUpPCRU49FzeD0wf1MyU9sr03DY4yTm8cmTdNrauNPjkODmociOyuRLhj9GCOhQKiBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T07:38:10.120477Z","bundle_sha256":"5121f6dba55d521b622f2714cc2f6fed9c10dc50c71273d496b11209a723f659"}}