{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IIKPODUUMQOICTHVZG2EOUXKMR","short_pith_number":"pith:IIKPODUU","canonical_record":{"source":{"id":"1101.1323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-01-06T22:16:21Z","cross_cats_sorted":[],"title_canon_sha256":"217bf366c1f84ad8017b0d310fc454b09831b7c1a5489536b17ae137924f6856","abstract_canon_sha256":"bd25d180a8087e4e00ba2d6fc9cc230021adb37bd56624a9b8e7e04a31cf2f84"},"schema_version":"1.0"},"canonical_sha256":"4214f70e94641c814cf5c9b44752ea644b1babdee7f445ecea30dd3017abc401","source":{"kind":"arxiv","id":"1101.1323","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1323","created_at":"2026-05-18T04:31:59Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1323v1","created_at":"2026-05-18T04:31:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1323","created_at":"2026-05-18T04:31:59Z"},{"alias_kind":"pith_short_12","alias_value":"IIKPODUUMQOI","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IIKPODUUMQOICTHV","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IIKPODUU","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IIKPODUUMQOICTHVZG2EOUXKMR","target":"record","payload":{"canonical_record":{"source":{"id":"1101.1323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-01-06T22:16:21Z","cross_cats_sorted":[],"title_canon_sha256":"217bf366c1f84ad8017b0d310fc454b09831b7c1a5489536b17ae137924f6856","abstract_canon_sha256":"bd25d180a8087e4e00ba2d6fc9cc230021adb37bd56624a9b8e7e04a31cf2f84"},"schema_version":"1.0"},"canonical_sha256":"4214f70e94641c814cf5c9b44752ea644b1babdee7f445ecea30dd3017abc401","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:59.714868Z","signature_b64":"d+bKmLF3usfEJ8Xs/D4I1ZQL6gBIxlubn+wfABHaKLYFMymBAKxj74ncMDqJmwVeTRNsVpZOawcD9BZPAgR+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4214f70e94641c814cf5c9b44752ea644b1babdee7f445ecea30dd3017abc401","last_reissued_at":"2026-05-18T04:31:59.714162Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:59.714162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.1323","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":"2026-05-18T04:31:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88GgU9pgJE4SROlE3THUlTyfBWxp+ATCcF6oZo9nupzElPvCuCPG1wnwI2s/rRPQtbz8sWzdJ8KN8J1X19CjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:09:00.021196Z"},"content_sha256":"eec086ce6c9672322bd585c32f2cf31cb3cf2194f42b2c9fab117e81bf491a2a","schema_version":"1.0","event_id":"sha256:eec086ce6c9672322bd585c32f2cf31cb3cf2194f42b2c9fab117e81bf491a2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IIKPODUUMQOICTHVZG2EOUXKMR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polydomain structure and its origins in isotropic-genesis nematic elastomers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"(2) Shanghai Jiao Tong University), Bing-Sui Lu (1), Fangfu Ye (1), Paul M. Goldbart (1) ((1) University of Illinois at Urbana-Champaign, Xiangjun Xing (2)","submitted_at":"2011-01-06T22:16:21Z","abstract_excerpt":"We address the physics of nematic liquid crystalline elastomers randomly crosslinked in the isotropic state. To do this, we construct a phenomenological effective replica Hamiltonian in terms of two order-parameter fields: one for the vulcanization, the other for nematic alignment. Using a Gaussian variational approach, we analyze both thermal and quenched fluctuations of the local nematic order, and find that, even for low temperatures, the macroscopically isotropic polydomain state is stabilized by the network heterogeneity. For sufficiently strong disorder and low enough temperature, our th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1323","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":"2026-05-18T04:31:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gctwqPc1pJlZv616qMBBkIA14+MiI5XNYo39ZoEuYsRWDqEujDcQNB/Tv6Yt9NRaYohT7RCu/ax6RjhG/JZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:09:00.021571Z"},"content_sha256":"4f3f13d78c4b1dc47c0ae5201d4bb18c8964d7eb467fd20c95d5d3d904611954","schema_version":"1.0","event_id":"sha256:4f3f13d78c4b1dc47c0ae5201d4bb18c8964d7eb467fd20c95d5d3d904611954"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IIKPODUUMQOICTHVZG2EOUXKMR/bundle.json","state_url":"https://pith.science/pith/IIKPODUUMQOICTHVZG2EOUXKMR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IIKPODUUMQOICTHVZG2EOUXKMR/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":"2026-05-28T12:09:00Z","links":{"resolver":"https://pith.science/pith/IIKPODUUMQOICTHVZG2EOUXKMR","bundle":"https://pith.science/pith/IIKPODUUMQOICTHVZG2EOUXKMR/bundle.json","state":"https://pith.science/pith/IIKPODUUMQOICTHVZG2EOUXKMR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IIKPODUUMQOICTHVZG2EOUXKMR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IIKPODUUMQOICTHVZG2EOUXKMR","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":"bd25d180a8087e4e00ba2d6fc9cc230021adb37bd56624a9b8e7e04a31cf2f84","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-01-06T22:16:21Z","title_canon_sha256":"217bf366c1f84ad8017b0d310fc454b09831b7c1a5489536b17ae137924f6856"},"schema_version":"1.0","source":{"id":"1101.1323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1323","created_at":"2026-05-18T04:31:59Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1323v1","created_at":"2026-05-18T04:31:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1323","created_at":"2026-05-18T04:31:59Z"},{"alias_kind":"pith_short_12","alias_value":"IIKPODUUMQOI","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IIKPODUUMQOICTHV","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IIKPODUU","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:4f3f13d78c4b1dc47c0ae5201d4bb18c8964d7eb467fd20c95d5d3d904611954","target":"graph","created_at":"2026-05-18T04:31:59Z","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":"We address the physics of nematic liquid crystalline elastomers randomly crosslinked in the isotropic state. To do this, we construct a phenomenological effective replica Hamiltonian in terms of two order-parameter fields: one for the vulcanization, the other for nematic alignment. Using a Gaussian variational approach, we analyze both thermal and quenched fluctuations of the local nematic order, and find that, even for low temperatures, the macroscopically isotropic polydomain state is stabilized by the network heterogeneity. For sufficiently strong disorder and low enough temperature, our th","authors_text":"(2) Shanghai Jiao Tong University), Bing-Sui Lu (1), Fangfu Ye (1), Paul M. Goldbart (1) ((1) University of Illinois at Urbana-Champaign, Xiangjun Xing (2)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-01-06T22:16:21Z","title":"Polydomain structure and its origins in isotropic-genesis nematic elastomers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1323","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:eec086ce6c9672322bd585c32f2cf31cb3cf2194f42b2c9fab117e81bf491a2a","target":"record","created_at":"2026-05-18T04:31:59Z","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":"bd25d180a8087e4e00ba2d6fc9cc230021adb37bd56624a9b8e7e04a31cf2f84","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-01-06T22:16:21Z","title_canon_sha256":"217bf366c1f84ad8017b0d310fc454b09831b7c1a5489536b17ae137924f6856"},"schema_version":"1.0","source":{"id":"1101.1323","kind":"arxiv","version":1}},"canonical_sha256":"4214f70e94641c814cf5c9b44752ea644b1babdee7f445ecea30dd3017abc401","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4214f70e94641c814cf5c9b44752ea644b1babdee7f445ecea30dd3017abc401","first_computed_at":"2026-05-18T04:31:59.714162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:59.714162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d+bKmLF3usfEJ8Xs/D4I1ZQL6gBIxlubn+wfABHaKLYFMymBAKxj74ncMDqJmwVeTRNsVpZOawcD9BZPAgR+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:59.714868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eec086ce6c9672322bd585c32f2cf31cb3cf2194f42b2c9fab117e81bf491a2a","sha256:4f3f13d78c4b1dc47c0ae5201d4bb18c8964d7eb467fd20c95d5d3d904611954"],"state_sha256":"0338205026298f662737ac3fb2e900436fbf6f6aa722a8769094f4635d86183f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tc5nu9GeXJaGj9impA0vB8RPizxMu3/mMQq6nlfrYhbDeI19QaH56+Lh998ro8zdCJBPIcgT3eYUu93iiN8kDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:09:00.023589Z","bundle_sha256":"717e0cc34cb9d9e8fd1b182fc6cabcf35cb0e69631ca484055edc5e9d5ffe737"}}