{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2W2KOKABJRYNCVDUZ3RKZI3MJS","short_pith_number":"pith:2W2KOKAB","canonical_record":{"source":{"id":"1809.06369","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-17T18:00:00Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","physics.atom-ph"],"title_canon_sha256":"c533901586a77089bafa100e453762d420ea172db86a47c3e55f293972a03d0d","abstract_canon_sha256":"a24e39effe7e17887ff92ae33d7aa5c4ec8fe6eb701bbc19e1e810eb230adfe2"},"schema_version":"1.0"},"canonical_sha256":"d5b4a728014c70d15474cee2aca36c4ca5cbcc3ff65e45e5912aa6c34abf52ea","source":{"kind":"arxiv","id":"1809.06369","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06369","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06369v1","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06369","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"2W2KOKABJRYN","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"pith_short_16","alias_value":"2W2KOKABJRYNCVDU","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"pith_short_8","alias_value":"2W2KOKAB","created_at":"2026-07-05T00:45:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2W2KOKABJRYNCVDUZ3RKZI3MJS","target":"record","payload":{"canonical_record":{"source":{"id":"1809.06369","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-17T18:00:00Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","physics.atom-ph"],"title_canon_sha256":"c533901586a77089bafa100e453762d420ea172db86a47c3e55f293972a03d0d","abstract_canon_sha256":"a24e39effe7e17887ff92ae33d7aa5c4ec8fe6eb701bbc19e1e810eb230adfe2"},"schema_version":"1.0"},"canonical_sha256":"d5b4a728014c70d15474cee2aca36c4ca5cbcc3ff65e45e5912aa6c34abf52ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:45:02.672911Z","signature_b64":"Q8C7CAKzcCEsAIeDeqalgg7xFVi/H2Sf49tvt6Kkv909RM4vtCngbVZwj+ds0jFy96uBQNjKEAqP7t+nf1CeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5b4a728014c70d15474cee2aca36c4ca5cbcc3ff65e45e5912aa6c34abf52ea","last_reissued_at":"2026-07-05T00:45:02.672377Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:45:02.672377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.06369","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":"2026-07-05T00:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WPMjzqyh6TB+8ENz5hDb9oJbdHEVrxu87t5MvGEA9OEkMRW0TlwixwC6QcYJEFk5xuWsvXdMM6UUDe3CBibMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T08:21:50.799592Z"},"content_sha256":"eb3b7f0b20c80ffa5987aa3241731e1304e4b7b545a195a05b9f9728359417f4","schema_version":"1.0","event_id":"sha256:eb3b7f0b20c80ffa5987aa3241731e1304e4b7b545a195a05b9f9728359417f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2W2KOKABJRYNCVDUZ3RKZI3MJS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"Chetan Nayak, Dominic V. Else, Francisco Machado, Norman Y. Yao","submitted_at":"2018-09-17T18:00:00Z","abstract_excerpt":"In this work, we prove a new family of Lieb-Robinson bounds for lattice spin systems with long-range interactions. Our results apply for arbitrary $k$-body interactions, so long as they decay with a power-law greater than $kd$, where $d$ is the dimension of the system. More precisely, we require that the sum of the norm of terms with diameter greater than or equal to $R$, acting on any one site, decays as a power-law $1/R^\\alpha$, with $\\alpha > d$. These new bounds allow us to prove that, at any fixed time, the spatial decay of quantum information follows arbitrarily closely to $1/r^{\\alpha}$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06369","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/1809.06369/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":"2026-07-05T00:45:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jYX1EmG9IXMrFYofelWgDsD18KCQi7hU6JXAR+BTe14swHdtURcRxbqeNqV48RSWPBP9Nx4ow9V/7IsF9iKRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T08:21:50.799970Z"},"content_sha256":"7aa5a7631065b4edd82443c2d8baf33b3e0c859eaac7f9eb8d0da34daba7f53e","schema_version":"1.0","event_id":"sha256:7aa5a7631065b4edd82443c2d8baf33b3e0c859eaac7f9eb8d0da34daba7f53e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS/bundle.json","state_url":"https://pith.science/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS/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":"2026-07-11T08:21:50Z","links":{"resolver":"https://pith.science/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS","bundle":"https://pith.science/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS/bundle.json","state":"https://pith.science/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2W2KOKABJRYNCVDUZ3RKZI3MJS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2W2KOKABJRYNCVDUZ3RKZI3MJS","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":"a24e39effe7e17887ff92ae33d7aa5c4ec8fe6eb701bbc19e1e810eb230adfe2","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-17T18:00:00Z","title_canon_sha256":"c533901586a77089bafa100e453762d420ea172db86a47c3e55f293972a03d0d"},"schema_version":"1.0","source":{"id":"1809.06369","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06369","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06369v1","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06369","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"pith_short_12","alias_value":"2W2KOKABJRYN","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"pith_short_16","alias_value":"2W2KOKABJRYNCVDU","created_at":"2026-07-05T00:45:02Z"},{"alias_kind":"pith_short_8","alias_value":"2W2KOKAB","created_at":"2026-07-05T00:45:02Z"}],"graph_snapshots":[{"event_id":"sha256:7aa5a7631065b4edd82443c2d8baf33b3e0c859eaac7f9eb8d0da34daba7f53e","target":"graph","created_at":"2026-07-05T00:45:02Z","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/1809.06369/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we prove a new family of Lieb-Robinson bounds for lattice spin systems with long-range interactions. Our results apply for arbitrary $k$-body interactions, so long as they decay with a power-law greater than $kd$, where $d$ is the dimension of the system. More precisely, we require that the sum of the norm of terms with diameter greater than or equal to $R$, acting on any one site, decays as a power-law $1/R^\\alpha$, with $\\alpha > d$. These new bounds allow us to prove that, at any fixed time, the spatial decay of quantum information follows arbitrarily closely to $1/r^{\\alpha}$","authors_text":"Chetan Nayak, Dominic V. Else, Francisco Machado, Norman Y. Yao","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-17T18:00:00Z","title":"An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06369","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:eb3b7f0b20c80ffa5987aa3241731e1304e4b7b545a195a05b9f9728359417f4","target":"record","created_at":"2026-07-05T00:45:02Z","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":"a24e39effe7e17887ff92ae33d7aa5c4ec8fe6eb701bbc19e1e810eb230adfe2","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-17T18:00:00Z","title_canon_sha256":"c533901586a77089bafa100e453762d420ea172db86a47c3e55f293972a03d0d"},"schema_version":"1.0","source":{"id":"1809.06369","kind":"arxiv","version":1}},"canonical_sha256":"d5b4a728014c70d15474cee2aca36c4ca5cbcc3ff65e45e5912aa6c34abf52ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5b4a728014c70d15474cee2aca36c4ca5cbcc3ff65e45e5912aa6c34abf52ea","first_computed_at":"2026-07-05T00:45:02.672377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:45:02.672377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q8C7CAKzcCEsAIeDeqalgg7xFVi/H2Sf49tvt6Kkv909RM4vtCngbVZwj+ds0jFy96uBQNjKEAqP7t+nf1CeBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:45:02.672911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.06369","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb3b7f0b20c80ffa5987aa3241731e1304e4b7b545a195a05b9f9728359417f4","sha256:7aa5a7631065b4edd82443c2d8baf33b3e0c859eaac7f9eb8d0da34daba7f53e"],"state_sha256":"a159e9b0ac57cb6c671ab86cdb8cb222bb8f32f4d63bdf3bf778aca30b6cc59b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NCUdszAZYd7uL2AFOA8teS0cntkfckt/5B+266i6vE9LuBF3gg9ggRwPx6U8EHKIzEQR3kGxUdlakHsu4vADAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T08:21:50.802482Z","bundle_sha256":"6c0d015e843108e74b654a2afb6e3ce1d7c82c2ed76889f28d5f1f230fbe43e2"}}