{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LNLTSMFW4UVMXI3PSMIYQUONSH","short_pith_number":"pith:LNLTSMFW","canonical_record":{"source":{"id":"1103.1810","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-03-09T15:37:54Z","cross_cats_sorted":[],"title_canon_sha256":"b242e0ffa62f4f8c3cfd43a6e89b19971dda9b50d8189089556fe6eb0fa62a63","abstract_canon_sha256":"9bb4331490313fec52e532b297264002dad4610d4f646681e3ad381b1c9cd8cd"},"schema_version":"1.0"},"canonical_sha256":"5b573930b6e52acba36f93118851cd91c99895ef9bea18c6c3400ee384401b5a","source":{"kind":"arxiv","id":"1103.1810","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.1810","created_at":"2026-05-18T04:23:20Z"},{"alias_kind":"arxiv_version","alias_value":"1103.1810v2","created_at":"2026-05-18T04:23:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1810","created_at":"2026-05-18T04:23:20Z"},{"alias_kind":"pith_short_12","alias_value":"LNLTSMFW4UVM","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LNLTSMFW4UVMXI3P","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LNLTSMFW","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LNLTSMFW4UVMXI3PSMIYQUONSH","target":"record","payload":{"canonical_record":{"source":{"id":"1103.1810","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-03-09T15:37:54Z","cross_cats_sorted":[],"title_canon_sha256":"b242e0ffa62f4f8c3cfd43a6e89b19971dda9b50d8189089556fe6eb0fa62a63","abstract_canon_sha256":"9bb4331490313fec52e532b297264002dad4610d4f646681e3ad381b1c9cd8cd"},"schema_version":"1.0"},"canonical_sha256":"5b573930b6e52acba36f93118851cd91c99895ef9bea18c6c3400ee384401b5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:20.967515Z","signature_b64":"Ue0bODhExiEHao7+OdVO3ceuN6n9FQ1YY76wYQJOwNR6XJeXQg2p9LEAfLEEkCCbAorbWawL1mbONE+stHkyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b573930b6e52acba36f93118851cd91c99895ef9bea18c6c3400ee384401b5a","last_reissued_at":"2026-05-18T04:23:20.966934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:20.966934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.1810","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":"2026-05-18T04:23:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qN7HUbaCfBHkKsIFbvovLIK9O9h46boj9QmGJDefSgwvzanewjTymZZYqKrQyWctD1EYPkvLY24ZO8YO5JeyBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T13:39:01.298881Z"},"content_sha256":"c1979a9e68d6002f392483e8c12aaefeca5487a10c7e037b67b735008021438c","schema_version":"1.0","event_id":"sha256:c1979a9e68d6002f392483e8c12aaefeca5487a10c7e037b67b735008021438c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LNLTSMFW4UVMXI3PSMIYQUONSH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-renormalizability of the HMC algorithm","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Martin L\\\"uscher, Stefan Schaefer","submitted_at":"2011-03-09T15:37:54Z","abstract_excerpt":"In lattice field theory, renormalizable simulation algorithms are attractive, because their scaling behaviour as a function of the lattice spacing is predictable. Algorithms implementing the Langevin equation, for example, are known to be renormalizable if the simulated theory is. In this paper we show that the situation is different in the case of the molecular-dynamics evolution on which the HMC algorithm is based. More precisely, studying the phi^4 theory, we find that the hyperbolic character of the molecular-dynamics equations leads to non-local (and thus non-removable) ultraviolet singul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1810","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":""},"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":"2026-05-18T04:23:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4n3krtxDiy+bzIJSQ7maPuBsY2ppSKrcOcn+iGolfy4xMP2qBIeRQiC0+nFib9v/aD/bTBKvO8ZykAsUJpxpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T13:39:01.299248Z"},"content_sha256":"0566e5524f93a06cb4e1d6974777886fb6d5eccef7bc71511a0b5ceac85c8a18","schema_version":"1.0","event_id":"sha256:0566e5524f93a06cb4e1d6974777886fb6d5eccef7bc71511a0b5ceac85c8a18"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LNLTSMFW4UVMXI3PSMIYQUONSH/bundle.json","state_url":"https://pith.science/pith/LNLTSMFW4UVMXI3PSMIYQUONSH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LNLTSMFW4UVMXI3PSMIYQUONSH/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":"2026-05-21T13:39:01Z","links":{"resolver":"https://pith.science/pith/LNLTSMFW4UVMXI3PSMIYQUONSH","bundle":"https://pith.science/pith/LNLTSMFW4UVMXI3PSMIYQUONSH/bundle.json","state":"https://pith.science/pith/LNLTSMFW4UVMXI3PSMIYQUONSH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LNLTSMFW4UVMXI3PSMIYQUONSH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LNLTSMFW4UVMXI3PSMIYQUONSH","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":"9bb4331490313fec52e532b297264002dad4610d4f646681e3ad381b1c9cd8cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-03-09T15:37:54Z","title_canon_sha256":"b242e0ffa62f4f8c3cfd43a6e89b19971dda9b50d8189089556fe6eb0fa62a63"},"schema_version":"1.0","source":{"id":"1103.1810","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.1810","created_at":"2026-05-18T04:23:20Z"},{"alias_kind":"arxiv_version","alias_value":"1103.1810v2","created_at":"2026-05-18T04:23:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1810","created_at":"2026-05-18T04:23:20Z"},{"alias_kind":"pith_short_12","alias_value":"LNLTSMFW4UVM","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LNLTSMFW4UVMXI3P","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LNLTSMFW","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:0566e5524f93a06cb4e1d6974777886fb6d5eccef7bc71511a0b5ceac85c8a18","target":"graph","created_at":"2026-05-18T04:23:20Z","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":"In lattice field theory, renormalizable simulation algorithms are attractive, because their scaling behaviour as a function of the lattice spacing is predictable. Algorithms implementing the Langevin equation, for example, are known to be renormalizable if the simulated theory is. In this paper we show that the situation is different in the case of the molecular-dynamics evolution on which the HMC algorithm is based. More precisely, studying the phi^4 theory, we find that the hyperbolic character of the molecular-dynamics equations leads to non-local (and thus non-removable) ultraviolet singul","authors_text":"Martin L\\\"uscher, Stefan Schaefer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-03-09T15:37:54Z","title":"Non-renormalizability of the HMC algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1810","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:c1979a9e68d6002f392483e8c12aaefeca5487a10c7e037b67b735008021438c","target":"record","created_at":"2026-05-18T04:23:20Z","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":"9bb4331490313fec52e532b297264002dad4610d4f646681e3ad381b1c9cd8cd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-03-09T15:37:54Z","title_canon_sha256":"b242e0ffa62f4f8c3cfd43a6e89b19971dda9b50d8189089556fe6eb0fa62a63"},"schema_version":"1.0","source":{"id":"1103.1810","kind":"arxiv","version":2}},"canonical_sha256":"5b573930b6e52acba36f93118851cd91c99895ef9bea18c6c3400ee384401b5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b573930b6e52acba36f93118851cd91c99895ef9bea18c6c3400ee384401b5a","first_computed_at":"2026-05-18T04:23:20.966934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:20.966934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ue0bODhExiEHao7+OdVO3ceuN6n9FQ1YY76wYQJOwNR6XJeXQg2p9LEAfLEEkCCbAorbWawL1mbONE+stHkyAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:20.967515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.1810","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1979a9e68d6002f392483e8c12aaefeca5487a10c7e037b67b735008021438c","sha256:0566e5524f93a06cb4e1d6974777886fb6d5eccef7bc71511a0b5ceac85c8a18"],"state_sha256":"f0bf47114f3f3ef36423bd729e2312e079668072b1ce7672d57b516679b1f3df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8IBquNHjo1p1Kl1JdcDe7IIcrgKlKZsy4j0Xs0X0Ci0hk2OhoG0/2Lyoh+T9DgirSlICyyOdNR46UIgcgJemAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T13:39:01.302800Z","bundle_sha256":"5b084a61f4868b96a2e1596111816df425957337496a7f45c5d73da50c19d047"}}