{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HZBLUI37HW774ZJAN7SLU2IZP7","short_pith_number":"pith:HZBLUI37","canonical_record":{"source":{"id":"1911.07913","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-11-18T20:20:32Z","cross_cats_sorted":[],"title_canon_sha256":"b16564a7f042b20edc1e7e1a73a7506b000700d15f7b577b5b75f4912ddffe9d","abstract_canon_sha256":"2e8057038eb4121802da4c8f5f92976042553085ef0d9cf114622986270a4c7f"},"schema_version":"1.0"},"canonical_sha256":"3e42ba237f3dbffe65206fe4ba69197fe9fe4754ffa3aadeb0b737ab9b7e8442","source":{"kind":"arxiv","id":"1911.07913","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.07913","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1911.07913v3","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.07913","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"HZBLUI37HW77","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"pith_short_16","alias_value":"HZBLUI37HW774ZJA","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"pith_short_8","alias_value":"HZBLUI37","created_at":"2026-07-05T00:58:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HZBLUI37HW774ZJAN7SLU2IZP7","target":"record","payload":{"canonical_record":{"source":{"id":"1911.07913","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-11-18T20:20:32Z","cross_cats_sorted":[],"title_canon_sha256":"b16564a7f042b20edc1e7e1a73a7506b000700d15f7b577b5b75f4912ddffe9d","abstract_canon_sha256":"2e8057038eb4121802da4c8f5f92976042553085ef0d9cf114622986270a4c7f"},"schema_version":"1.0"},"canonical_sha256":"3e42ba237f3dbffe65206fe4ba69197fe9fe4754ffa3aadeb0b737ab9b7e8442","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:58:05.888527Z","signature_b64":"/Z4uEGaZg++GJXCi0e5FpPiLuMsSweuz1RP7aKNQqBeMQYeOkhko8s08qIeCjBqNHdouf0zgAItHGnc+GwUEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e42ba237f3dbffe65206fe4ba69197fe9fe4754ffa3aadeb0b737ab9b7e8442","last_reissued_at":"2026-07-05T00:58:05.888165Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:58:05.888165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1911.07913","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j12dwyEPFWDDSu5JZuza8EcV7j7ehp4w7duPhMM0Ovkvq7gNncCJ6w4/OOZoGF+5Wo853y6P1B74JzoEfQbZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T09:22:50.081769Z"},"content_sha256":"3128fefdde232317597e4dc424be5d64880a2d1523bffa1c30fa5ecfa5fbf978","schema_version":"1.0","event_id":"sha256:3128fefdde232317597e4dc424be5d64880a2d1523bffa1c30fa5ecfa5fbf978"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HZBLUI37HW774ZJAN7SLU2IZP7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchical Optimization Time Integration for CFL-rate MPM Stepping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Chenfanfu Jiang, Danny M. Kaufman, Minchen Li, Ming Gao, Min Tang, Xinlei Wang, Xinxin Zhang, Yu Fang","submitted_at":"2019-11-18T20:20:32Z","abstract_excerpt":"We propose Hierarchical Optimization Time Integration (HOT) for efficient implicit time-stepping of the Material Point Method (MPM) irrespective of simulated materials and conditions. HOT is an MPM-specialized hierarchical optimization algorithm that solves nonlinear time step problems for large-scale MPM systems near the CFL-limit. HOT provides convergent simulations \"out-of-the-box\" across widely varying materials and computational resolutions without parameter tuning. As an implicit MPM time stepper accelerated by a custom-designed Galerkin multigrid wrapped in a quasi-Newton solver, HOT is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.07913","kind":"arxiv","version":3},"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/1911.07913/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":"2026-07-05T00:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLWiu63aHPcqZZfGYii6fMrNqChs4EDmGvRYm1NVTqXNAN9LW3cikXG8ACUrLkFdj3MIAFGJ2A+OvgmVNYKWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T09:22:50.082136Z"},"content_sha256":"23745905b7032635f10c1eb0203fe511b250739596848141f8491e93939ca527","schema_version":"1.0","event_id":"sha256:23745905b7032635f10c1eb0203fe511b250739596848141f8491e93939ca527"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZBLUI37HW774ZJAN7SLU2IZP7/bundle.json","state_url":"https://pith.science/pith/HZBLUI37HW774ZJAN7SLU2IZP7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZBLUI37HW774ZJAN7SLU2IZP7/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":"2026-07-10T09:22:50Z","links":{"resolver":"https://pith.science/pith/HZBLUI37HW774ZJAN7SLU2IZP7","bundle":"https://pith.science/pith/HZBLUI37HW774ZJAN7SLU2IZP7/bundle.json","state":"https://pith.science/pith/HZBLUI37HW774ZJAN7SLU2IZP7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZBLUI37HW774ZJAN7SLU2IZP7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HZBLUI37HW774ZJAN7SLU2IZP7","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":"2e8057038eb4121802da4c8f5f92976042553085ef0d9cf114622986270a4c7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-11-18T20:20:32Z","title_canon_sha256":"b16564a7f042b20edc1e7e1a73a7506b000700d15f7b577b5b75f4912ddffe9d"},"schema_version":"1.0","source":{"id":"1911.07913","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.07913","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1911.07913v3","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.07913","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"HZBLUI37HW77","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"pith_short_16","alias_value":"HZBLUI37HW774ZJA","created_at":"2026-07-05T00:58:05Z"},{"alias_kind":"pith_short_8","alias_value":"HZBLUI37","created_at":"2026-07-05T00:58:05Z"}],"graph_snapshots":[{"event_id":"sha256:23745905b7032635f10c1eb0203fe511b250739596848141f8491e93939ca527","target":"graph","created_at":"2026-07-05T00:58:05Z","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/1911.07913/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose Hierarchical Optimization Time Integration (HOT) for efficient implicit time-stepping of the Material Point Method (MPM) irrespective of simulated materials and conditions. HOT is an MPM-specialized hierarchical optimization algorithm that solves nonlinear time step problems for large-scale MPM systems near the CFL-limit. HOT provides convergent simulations \"out-of-the-box\" across widely varying materials and computational resolutions without parameter tuning. As an implicit MPM time stepper accelerated by a custom-designed Galerkin multigrid wrapped in a quasi-Newton solver, HOT is","authors_text":"Chenfanfu Jiang, Danny M. Kaufman, Minchen Li, Ming Gao, Min Tang, Xinlei Wang, Xinxin Zhang, Yu Fang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-11-18T20:20:32Z","title":"Hierarchical Optimization Time Integration for CFL-rate MPM Stepping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.07913","kind":"arxiv","version":3},"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":"sha256:3128fefdde232317597e4dc424be5d64880a2d1523bffa1c30fa5ecfa5fbf978","target":"record","created_at":"2026-07-05T00:58:05Z","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":"2e8057038eb4121802da4c8f5f92976042553085ef0d9cf114622986270a4c7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2019-11-18T20:20:32Z","title_canon_sha256":"b16564a7f042b20edc1e7e1a73a7506b000700d15f7b577b5b75f4912ddffe9d"},"schema_version":"1.0","source":{"id":"1911.07913","kind":"arxiv","version":3}},"canonical_sha256":"3e42ba237f3dbffe65206fe4ba69197fe9fe4754ffa3aadeb0b737ab9b7e8442","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e42ba237f3dbffe65206fe4ba69197fe9fe4754ffa3aadeb0b737ab9b7e8442","first_computed_at":"2026-07-05T00:58:05.888165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:58:05.888165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Z4uEGaZg++GJXCi0e5FpPiLuMsSweuz1RP7aKNQqBeMQYeOkhko8s08qIeCjBqNHdouf0zgAItHGnc+GwUEAg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:58:05.888527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.07913","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3128fefdde232317597e4dc424be5d64880a2d1523bffa1c30fa5ecfa5fbf978","sha256:23745905b7032635f10c1eb0203fe511b250739596848141f8491e93939ca527"],"state_sha256":"8f7e0e02899c951c3143151381072a85f05b2fa49a632f5a1fc297a58248ec8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F1NlGbDdCV67S/lqXcJY7xXF5/1Opa9sdYEpyIZ5qUBgjaAZprI006NlEUphv0zM/+Jq0HPxbSsWlGgHwLmwCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T09:22:50.084067Z","bundle_sha256":"0656c0bd2dd0065a1bb9e6e1c82c370c9b598d42c8b2d06f23b5c37903a7cd5d"}}