{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RCWZLP2TCJ5MYEOYBJZ4OIDOOM","short_pith_number":"pith:RCWZLP2T","canonical_record":{"source":{"id":"1208.3331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-16T10:16:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"59f483c63bc2803ea39a15fe18d399108fa0e8492810ef3106b6cbf37f213074","abstract_canon_sha256":"e99ee199d44b70c6cbb50b5459594db84864e008e90d886673be9e703a19a4c8"},"schema_version":"1.0"},"canonical_sha256":"88ad95bf53127acc11d80a73c7206e7303520a419702a2d93122a6b226fd98d9","source":{"kind":"arxiv","id":"1208.3331","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3331","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3331v1","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3331","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"RCWZLP2TCJ5M","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RCWZLP2TCJ5MYEOY","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RCWZLP2T","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RCWZLP2TCJ5MYEOYBJZ4OIDOOM","target":"record","payload":{"canonical_record":{"source":{"id":"1208.3331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-16T10:16:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"59f483c63bc2803ea39a15fe18d399108fa0e8492810ef3106b6cbf37f213074","abstract_canon_sha256":"e99ee199d44b70c6cbb50b5459594db84864e008e90d886673be9e703a19a4c8"},"schema_version":"1.0"},"canonical_sha256":"88ad95bf53127acc11d80a73c7206e7303520a419702a2d93122a6b226fd98d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:36.141920Z","signature_b64":"lY6YEIpEOK6iaqa+EqWmj2Jun80WNcK9uNr/lpjWaiVqRDnFEnxzR8CjOm+OyZsiZRRqmP7RopLJlGlJfWTeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88ad95bf53127acc11d80a73c7206e7303520a419702a2d93122a6b226fd98d9","last_reissued_at":"2026-05-18T03:48:36.141297Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:36.141297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.3331","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":"2026-05-18T03:48:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sP4uehXUPK5GGKY+4/+BtA1mLM3NY1Bdyx/F5EcXnDaJlG2n4I+XKOrwwZwPeiiLgYFNqEU0G+opW9IaURUeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:01:51.161217Z"},"content_sha256":"d1a9498324d5eac7bb9fdced6b11446153316287fcfdea200f1c8af0d6870b29","schema_version":"1.0","event_id":"sha256:d1a9498324d5eac7bb9fdced6b11446153316287fcfdea200f1c8af0d6870b29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RCWZLP2TCJ5MYEOYBJZ4OIDOOM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain partitioning as a result of deformation in the framework of large-strain Cosserat plasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Thomas Blesgen","submitted_at":"2012-08-16T10:16:15Z","abstract_excerpt":"In the framework of the rate-independent large-strain Cosserat theory of plasticity we calculate analytically explicit solutions of a two-dimensional shear problem. We discuss two cases where the micro-rotations are stationary solutions of an Allen-Cahn equation. Thus, for a certain parameter range, patterning arises and the domain is partitioned into subsets with approximate constant rotations. This describes a possible mechanism for the formation of grains and subgrains in deformed solids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3331","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":"2026-05-18T03:48:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TGbdrsekTJY6VOVdZ+xJ1KHr3LIGYpdRyntB73bYm4JMJbPw7q4M+wGC8px3ZpscugLZlO5e7mc+qVO7E1j/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T03:01:51.161582Z"},"content_sha256":"fb91465860783995e6b8099176d32a14c9d70a82a02fd8985cec04d72fcade61","schema_version":"1.0","event_id":"sha256:fb91465860783995e6b8099176d32a14c9d70a82a02fd8985cec04d72fcade61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM/bundle.json","state_url":"https://pith.science/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM/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":"2026-06-23T03:01:51Z","links":{"resolver":"https://pith.science/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM","bundle":"https://pith.science/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM/bundle.json","state":"https://pith.science/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RCWZLP2TCJ5MYEOYBJZ4OIDOOM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RCWZLP2TCJ5MYEOYBJZ4OIDOOM","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":"e99ee199d44b70c6cbb50b5459594db84864e008e90d886673be9e703a19a4c8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-16T10:16:15Z","title_canon_sha256":"59f483c63bc2803ea39a15fe18d399108fa0e8492810ef3106b6cbf37f213074"},"schema_version":"1.0","source":{"id":"1208.3331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3331","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3331v1","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3331","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"RCWZLP2TCJ5M","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RCWZLP2TCJ5MYEOY","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RCWZLP2T","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:fb91465860783995e6b8099176d32a14c9d70a82a02fd8985cec04d72fcade61","target":"graph","created_at":"2026-05-18T03:48:36Z","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 the framework of the rate-independent large-strain Cosserat theory of plasticity we calculate analytically explicit solutions of a two-dimensional shear problem. We discuss two cases where the micro-rotations are stationary solutions of an Allen-Cahn equation. Thus, for a certain parameter range, patterning arises and the domain is partitioned into subsets with approximate constant rotations. This describes a possible mechanism for the formation of grains and subgrains in deformed solids.","authors_text":"Thomas Blesgen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-16T10:16:15Z","title":"Domain partitioning as a result of deformation in the framework of large-strain Cosserat plasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3331","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:d1a9498324d5eac7bb9fdced6b11446153316287fcfdea200f1c8af0d6870b29","target":"record","created_at":"2026-05-18T03:48:36Z","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":"e99ee199d44b70c6cbb50b5459594db84864e008e90d886673be9e703a19a4c8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-08-16T10:16:15Z","title_canon_sha256":"59f483c63bc2803ea39a15fe18d399108fa0e8492810ef3106b6cbf37f213074"},"schema_version":"1.0","source":{"id":"1208.3331","kind":"arxiv","version":1}},"canonical_sha256":"88ad95bf53127acc11d80a73c7206e7303520a419702a2d93122a6b226fd98d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88ad95bf53127acc11d80a73c7206e7303520a419702a2d93122a6b226fd98d9","first_computed_at":"2026-05-18T03:48:36.141297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:36.141297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lY6YEIpEOK6iaqa+EqWmj2Jun80WNcK9uNr/lpjWaiVqRDnFEnxzR8CjOm+OyZsiZRRqmP7RopLJlGlJfWTeBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:36.141920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1a9498324d5eac7bb9fdced6b11446153316287fcfdea200f1c8af0d6870b29","sha256:fb91465860783995e6b8099176d32a14c9d70a82a02fd8985cec04d72fcade61"],"state_sha256":"dd1b352d9dd3f50e5723cc4f81d09efeae66118269055d2e33d72c6733d4a3cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORtlY3gpY14XCVanU+xqjvhppNy31V7CzhUT/xbJSA+fKrUc3v5aV0+71mxntBMMJ6JDvvAOvKwST73ynpq5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T03:01:51.163485Z","bundle_sha256":"8c7d7a73fba3e70410acfd35ab0ff6ad7f2dff640559db2af2ebe592d77fff62"}}