{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:QNOEBJ4YJ55ZRL46JI5FSY56AM","short_pith_number":"pith:QNOEBJ4Y","canonical_record":{"source":{"id":"2001.08050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-22T15:10:29Z","cross_cats_sorted":[],"title_canon_sha256":"6b3c3df817006aa8f100b7021dce49f33729666234613faae57d64c8d1b45224","abstract_canon_sha256":"da1f178f802091c2efc3ae4d60e1b84370e79ed5db4d3b54bc02a23981150d72"},"schema_version":"1.0"},"canonical_sha256":"835c40a7984f7b98af9e4a3a5963be0324cf19c5ef585457ccab6dcb1cd10278","source":{"kind":"arxiv","id":"2001.08050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.08050","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"2001.08050v1","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.08050","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"QNOEBJ4YJ55Z","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"pith_short_16","alias_value":"QNOEBJ4YJ55ZRL46","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"pith_short_8","alias_value":"QNOEBJ4Y","created_at":"2026-07-05T00:35:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:QNOEBJ4YJ55ZRL46JI5FSY56AM","target":"record","payload":{"canonical_record":{"source":{"id":"2001.08050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-22T15:10:29Z","cross_cats_sorted":[],"title_canon_sha256":"6b3c3df817006aa8f100b7021dce49f33729666234613faae57d64c8d1b45224","abstract_canon_sha256":"da1f178f802091c2efc3ae4d60e1b84370e79ed5db4d3b54bc02a23981150d72"},"schema_version":"1.0"},"canonical_sha256":"835c40a7984f7b98af9e4a3a5963be0324cf19c5ef585457ccab6dcb1cd10278","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:35:07.337947Z","signature_b64":"BRvzUgwt/nk5E6G2dlCkkdqzr/YS+PTEfF2iQhVI+msAzKHzMyKblCxuSQOMB6YIbf74YuSqLUSi4mj73AHFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"835c40a7984f7b98af9e4a3a5963be0324cf19c5ef585457ccab6dcb1cd10278","last_reissued_at":"2026-07-05T00:35:07.337329Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:35:07.337329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.08050","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":"2026-07-05T00:35:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u8WrxRQBRIx922HZXR6jtPfTYH+k2GSzfgtg2t7jdmbnuuEoyDgvBBz1i8WcA0NAaXA1azFmASCWYil7bWXpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:38:26.415648Z"},"content_sha256":"8e20733d3fa9f9d27f053cc85df341f455138eedc8709310f7aec7d51603e893","schema_version":"1.0","event_id":"sha256:8e20733d3fa9f9d27f053cc85df341f455138eedc8709310f7aec7d51603e893"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:QNOEBJ4YJ55ZRL46JI5FSY56AM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal Translationally-Invariant Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Johannes Bausch, Stephen Piddock","submitted_at":"2020-01-22T15:10:29Z","abstract_excerpt":"In this work we extend the notion of universal quantum Hamiltonians to the setting of translationally-invariant systems. We present a construction that allows a two-dimensional spin lattice with nearest-neighbour interactions, open boundaries, and translational symmetry to simulate any local target Hamiltonian---i.e. to reproduce the whole of the target system within its low-energy subspace to arbitrarily-high precision. Since this implies the capability to simulate non-translationally-invariant many-body systems with translationally-invariant couplings, any effect such as characteristics comm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.08050","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/2001.08050/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":"2026-07-05T00:35:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ca1FyLzkNBHSryMo3FgrkoAW1LmTbnQohMx/+0/E6o5/I5Ak70eRm1S4vOodVDxt+u0sZ8Q1+XuC6jk9QA3TCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T02:38:26.416302Z"},"content_sha256":"3ef8c67d315583089470ee17694fed0e9d8174ffbef2d525af64a1c74a2f8b33","schema_version":"1.0","event_id":"sha256:3ef8c67d315583089470ee17694fed0e9d8174ffbef2d525af64a1c74a2f8b33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM/bundle.json","state_url":"https://pith.science/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM/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":"2026-08-06T02:38:26Z","links":{"resolver":"https://pith.science/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM","bundle":"https://pith.science/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM/bundle.json","state":"https://pith.science/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNOEBJ4YJ55ZRL46JI5FSY56AM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QNOEBJ4YJ55ZRL46JI5FSY56AM","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":"da1f178f802091c2efc3ae4d60e1b84370e79ed5db4d3b54bc02a23981150d72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-22T15:10:29Z","title_canon_sha256":"6b3c3df817006aa8f100b7021dce49f33729666234613faae57d64c8d1b45224"},"schema_version":"1.0","source":{"id":"2001.08050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.08050","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"2001.08050v1","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.08050","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"QNOEBJ4YJ55Z","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"pith_short_16","alias_value":"QNOEBJ4YJ55ZRL46","created_at":"2026-07-05T00:35:07Z"},{"alias_kind":"pith_short_8","alias_value":"QNOEBJ4Y","created_at":"2026-07-05T00:35:07Z"}],"graph_snapshots":[{"event_id":"sha256:3ef8c67d315583089470ee17694fed0e9d8174ffbef2d525af64a1c74a2f8b33","target":"graph","created_at":"2026-07-05T00:35:07Z","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/2001.08050/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we extend the notion of universal quantum Hamiltonians to the setting of translationally-invariant systems. We present a construction that allows a two-dimensional spin lattice with nearest-neighbour interactions, open boundaries, and translational symmetry to simulate any local target Hamiltonian---i.e. to reproduce the whole of the target system within its low-energy subspace to arbitrarily-high precision. Since this implies the capability to simulate non-translationally-invariant many-body systems with translationally-invariant couplings, any effect such as characteristics comm","authors_text":"Johannes Bausch, Stephen Piddock","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-22T15:10:29Z","title":"Universal Translationally-Invariant Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.08050","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":"sha256:8e20733d3fa9f9d27f053cc85df341f455138eedc8709310f7aec7d51603e893","target":"record","created_at":"2026-07-05T00:35:07Z","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":"da1f178f802091c2efc3ae4d60e1b84370e79ed5db4d3b54bc02a23981150d72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-01-22T15:10:29Z","title_canon_sha256":"6b3c3df817006aa8f100b7021dce49f33729666234613faae57d64c8d1b45224"},"schema_version":"1.0","source":{"id":"2001.08050","kind":"arxiv","version":1}},"canonical_sha256":"835c40a7984f7b98af9e4a3a5963be0324cf19c5ef585457ccab6dcb1cd10278","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"835c40a7984f7b98af9e4a3a5963be0324cf19c5ef585457ccab6dcb1cd10278","first_computed_at":"2026-07-05T00:35:07.337329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:35:07.337329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BRvzUgwt/nk5E6G2dlCkkdqzr/YS+PTEfF2iQhVI+msAzKHzMyKblCxuSQOMB6YIbf74YuSqLUSi4mj73AHFDg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:35:07.337947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.08050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e20733d3fa9f9d27f053cc85df341f455138eedc8709310f7aec7d51603e893","sha256:3ef8c67d315583089470ee17694fed0e9d8174ffbef2d525af64a1c74a2f8b33"],"state_sha256":"82872caf73bbbfa1e17e09c6877183546689632d523270117c54a4157dcdaad1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RC2zfH64LvZob/vyJOaUCflbvRgi0aLsaLPzzqs1sXzVuF6J0/Y/19hJ2FQ/wBqmZtivN3Min9Nt/ZdHiay5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T02:38:26.422345Z","bundle_sha256":"a3ecc179d8260eae1c54c2b35b03deeb17e6120d18626adf90dd216f6666eae1"}}