{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MZEJXASYRAY6ITMVQNA76CYYMB","short_pith_number":"pith:MZEJXASY","canonical_record":{"source":{"id":"1201.2744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-13T05:16:14Z","cross_cats_sorted":[],"title_canon_sha256":"065dbca1901ecce990a20b3b9b0253f463169c7bde824423c86ff0fc6134fafc","abstract_canon_sha256":"c2cf495bdcb11102954c5cdeff713bc466ff6c2dac2cf9b70591fd6d5f6bb557"},"schema_version":"1.0"},"canonical_sha256":"66489b82588831e44d958341ff0b18607b6714868b73c8f2bf56714e7e251ed5","source":{"kind":"arxiv","id":"1201.2744","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2744","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2744v1","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2744","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"MZEJXASYRAY6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MZEJXASYRAY6ITMV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MZEJXASY","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MZEJXASYRAY6ITMVQNA76CYYMB","target":"record","payload":{"canonical_record":{"source":{"id":"1201.2744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-13T05:16:14Z","cross_cats_sorted":[],"title_canon_sha256":"065dbca1901ecce990a20b3b9b0253f463169c7bde824423c86ff0fc6134fafc","abstract_canon_sha256":"c2cf495bdcb11102954c5cdeff713bc466ff6c2dac2cf9b70591fd6d5f6bb557"},"schema_version":"1.0"},"canonical_sha256":"66489b82588831e44d958341ff0b18607b6714868b73c8f2bf56714e7e251ed5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:43.192486Z","signature_b64":"yr95+uhlr5+c1LAG483/l0CoQN9qTXgsSXOp/V1JzkBLPujWWiAM/F9vY8jgNtviNRmcLbZqHtz0dd8NLRuCBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66489b82588831e44d958341ff0b18607b6714868b73c8f2bf56714e7e251ed5","last_reissued_at":"2026-05-18T04:04:43.191984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:43.191984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.2744","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":"2026-05-18T04:04:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZJvnV+R87wz0QpdD3wxP1JltsH9WSWWTQbIt987jvxcu+b5iVg84YY3AfZKDM75SUn8aU8epNdOXr63XTksEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:00:35.309733Z"},"content_sha256":"4f9c994a705a9048fccf38c7bacb2c1cdb35de4471d01d2ab7345a4b4c3eedf0","schema_version":"1.0","event_id":"sha256:4f9c994a705a9048fccf38c7bacb2c1cdb35de4471d01d2ab7345a4b4c3eedf0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MZEJXASYRAY6ITMVQNA76CYYMB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Material Point Method Formulation for Plasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Biswajit Banerjee","submitted_at":"2012-01-13T05:16:14Z","abstract_excerpt":"This paper discusses a general formulation of the material point method in the context of additive decomposition rate-independent plasticity. The process of generating the weak form shows that volume integration over deforming particles can be major source of error in the MPM method. Several useful identities and other results are derived in the appendix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2744","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":""},"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":"2026-05-18T04:04:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rIg8DiUB4MMN1dHbH2OTEOJZSIDFduXXL3D8y+zfA4SzyiWc3Zk7lcwMUKtgEFqCbIIuIUYhxbiPq2ANCQosDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:00:35.310101Z"},"content_sha256":"febf6197ec84b4d1f44beaf2753d08f1a9b0214046cf502461157368793d690b","schema_version":"1.0","event_id":"sha256:febf6197ec84b4d1f44beaf2753d08f1a9b0214046cf502461157368793d690b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZEJXASYRAY6ITMVQNA76CYYMB/bundle.json","state_url":"https://pith.science/pith/MZEJXASYRAY6ITMVQNA76CYYMB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZEJXASYRAY6ITMVQNA76CYYMB/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":"2026-05-25T12:00:35Z","links":{"resolver":"https://pith.science/pith/MZEJXASYRAY6ITMVQNA76CYYMB","bundle":"https://pith.science/pith/MZEJXASYRAY6ITMVQNA76CYYMB/bundle.json","state":"https://pith.science/pith/MZEJXASYRAY6ITMVQNA76CYYMB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZEJXASYRAY6ITMVQNA76CYYMB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MZEJXASYRAY6ITMVQNA76CYYMB","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":"c2cf495bdcb11102954c5cdeff713bc466ff6c2dac2cf9b70591fd6d5f6bb557","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-13T05:16:14Z","title_canon_sha256":"065dbca1901ecce990a20b3b9b0253f463169c7bde824423c86ff0fc6134fafc"},"schema_version":"1.0","source":{"id":"1201.2744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2744","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2744v1","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2744","created_at":"2026-05-18T04:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"MZEJXASYRAY6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MZEJXASYRAY6ITMV","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MZEJXASY","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:febf6197ec84b4d1f44beaf2753d08f1a9b0214046cf502461157368793d690b","target":"graph","created_at":"2026-05-18T04:04:43Z","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":"This paper discusses a general formulation of the material point method in the context of additive decomposition rate-independent plasticity. The process of generating the weak form shows that volume integration over deforming particles can be major source of error in the MPM method. Several useful identities and other results are derived in the appendix.","authors_text":"Biswajit Banerjee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-13T05:16:14Z","title":"A Material Point Method Formulation for Plasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2744","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":"sha256:4f9c994a705a9048fccf38c7bacb2c1cdb35de4471d01d2ab7345a4b4c3eedf0","target":"record","created_at":"2026-05-18T04:04:43Z","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":"c2cf495bdcb11102954c5cdeff713bc466ff6c2dac2cf9b70591fd6d5f6bb557","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-01-13T05:16:14Z","title_canon_sha256":"065dbca1901ecce990a20b3b9b0253f463169c7bde824423c86ff0fc6134fafc"},"schema_version":"1.0","source":{"id":"1201.2744","kind":"arxiv","version":1}},"canonical_sha256":"66489b82588831e44d958341ff0b18607b6714868b73c8f2bf56714e7e251ed5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66489b82588831e44d958341ff0b18607b6714868b73c8f2bf56714e7e251ed5","first_computed_at":"2026-05-18T04:04:43.191984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:43.191984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yr95+uhlr5+c1LAG483/l0CoQN9qTXgsSXOp/V1JzkBLPujWWiAM/F9vY8jgNtviNRmcLbZqHtz0dd8NLRuCBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:43.192486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f9c994a705a9048fccf38c7bacb2c1cdb35de4471d01d2ab7345a4b4c3eedf0","sha256:febf6197ec84b4d1f44beaf2753d08f1a9b0214046cf502461157368793d690b"],"state_sha256":"f3ca826532b770af15b34909913c684a4f51c5d0be2d3cb257638fbc781105ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/zsuexuHT92teLVVQ5ggz41mc+PbkE6Mv19imxnrU4JZf1k5JgDsbhQQpXEbx1Sp1di74YuhZmwlbvVI/hD6DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:00:35.312696Z","bundle_sha256":"d5476234d083aa60fda4248cc9454c12d781b45dfc54fb2741e1d667b1ba6330"}}