{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:EL6P6YUKPTBUIWSCO5NGKKSTH6","short_pith_number":"pith:EL6P6YUK","canonical_record":{"source":{"id":"cond-mat/0611425","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-11-16T08:53:46Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"497e6e6f13ca58153183cd12bfecf08561e019b0d307626b7bdf34e93373e3ae","abstract_canon_sha256":"922e76fcaf5d052013b25db015b3f992dd0e3b364635a3ed2032fd5f5d48d0ee"},"schema_version":"1.0"},"canonical_sha256":"22fcff628a7cc3445a42775a652a533f9f9692f84f6622f5366badfeabacb2f5","source":{"kind":"arxiv","id":"cond-mat/0611425","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0611425","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0611425v1","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0611425","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"EL6P6YUKPTBU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EL6P6YUKPTBUIWSC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EL6P6YUK","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:EL6P6YUKPTBUIWSCO5NGKKSTH6","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0611425","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-11-16T08:53:46Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"497e6e6f13ca58153183cd12bfecf08561e019b0d307626b7bdf34e93373e3ae","abstract_canon_sha256":"922e76fcaf5d052013b25db015b3f992dd0e3b364635a3ed2032fd5f5d48d0ee"},"schema_version":"1.0"},"canonical_sha256":"22fcff628a7cc3445a42775a652a533f9f9692f84f6622f5366badfeabacb2f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:39.706378Z","signature_b64":"lLAALXRBxEKnQyrLBLdfvOosUCEEKGw862yPVAZzjJxzwRdDBVlcJLNDVA+DuAPMZyL2eNlgEBPCILtThEBpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22fcff628a7cc3445a42775a652a533f9f9692f84f6622f5366badfeabacb2f5","last_reissued_at":"2026-05-18T01:39:39.705605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:39.705605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0611425","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":"2026-05-18T01:39:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YWhFNtCOg3ueOz5wKUmmWICH/+clj6zEWEdcfkGZXlmPcRNlnM5NgNipcIPxfTM8ADtWjSKKSrqeh6sPJwA+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:12:24.619841Z"},"content_sha256":"53382a5fa9652acf526a9de52886fb48f0f698bdb7d729fff919b7b52fd17ce0","schema_version":"1.0","event_id":"sha256:53382a5fa9652acf526a9de52886fb48f0f698bdb7d729fff919b7b52fd17ce0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:EL6P6YUKPTBUIWSCO5NGKKSTH6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of smectic elastomers","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Olaf Stenull, T. C. Lubensky","submitted_at":"2006-11-16T08:53:46Z","abstract_excerpt":"We study the low-frequency, long-wavelength dynamics of liquid crystal elastomers, crosslinked in the smectic-$A$ phase, in their smectic-$A$, biaxial smectic and smectic-$C$ phases. Two different yet related formulations are employed. One formulation describes the pure hydrodynamics and does not explicitly involve the Frank director, which relaxes to its local equilibrium value in a non-hydrodynamic time. The other formulation explicitly treats the director and applies beyond the hydrodynamic limit. We compare the low-frequency, long-wavelength dynamics of smectic-$A$ elastomers to that of ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0611425","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":"2026-05-18T01:39:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lk8eHjAaUYQk2lSA3C+jKXEDIatTP24j8jBlppSAKv6Xzo6wfk1KALf++OkpXRU2zaIUiE6Z6rF+rZvkdCo9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:12:24.620451Z"},"content_sha256":"75f09ad3642bd368aef9c7694f56c437f7c218b70e85e3f52ab8ced825eae9c7","schema_version":"1.0","event_id":"sha256:75f09ad3642bd368aef9c7694f56c437f7c218b70e85e3f52ab8ced825eae9c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6/bundle.json","state_url":"https://pith.science/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6/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":"2026-05-30T13:12:24Z","links":{"resolver":"https://pith.science/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6","bundle":"https://pith.science/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6/bundle.json","state":"https://pith.science/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EL6P6YUKPTBUIWSCO5NGKKSTH6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:EL6P6YUKPTBUIWSCO5NGKKSTH6","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":"922e76fcaf5d052013b25db015b3f992dd0e3b364635a3ed2032fd5f5d48d0ee","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-11-16T08:53:46Z","title_canon_sha256":"497e6e6f13ca58153183cd12bfecf08561e019b0d307626b7bdf34e93373e3ae"},"schema_version":"1.0","source":{"id":"cond-mat/0611425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0611425","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0611425v1","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0611425","created_at":"2026-05-18T01:39:39Z"},{"alias_kind":"pith_short_12","alias_value":"EL6P6YUKPTBU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EL6P6YUKPTBUIWSC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EL6P6YUK","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:75f09ad3642bd368aef9c7694f56c437f7c218b70e85e3f52ab8ced825eae9c7","target":"graph","created_at":"2026-05-18T01:39:39Z","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 study the low-frequency, long-wavelength dynamics of liquid crystal elastomers, crosslinked in the smectic-$A$ phase, in their smectic-$A$, biaxial smectic and smectic-$C$ phases. Two different yet related formulations are employed. One formulation describes the pure hydrodynamics and does not explicitly involve the Frank director, which relaxes to its local equilibrium value in a non-hydrodynamic time. The other formulation explicitly treats the director and applies beyond the hydrodynamic limit. We compare the low-frequency, long-wavelength dynamics of smectic-$A$ elastomers to that of ne","authors_text":"Olaf Stenull, T. C. Lubensky","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-11-16T08:53:46Z","title":"Dynamics of smectic elastomers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0611425","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":"sha256:53382a5fa9652acf526a9de52886fb48f0f698bdb7d729fff919b7b52fd17ce0","target":"record","created_at":"2026-05-18T01:39:39Z","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":"922e76fcaf5d052013b25db015b3f992dd0e3b364635a3ed2032fd5f5d48d0ee","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2006-11-16T08:53:46Z","title_canon_sha256":"497e6e6f13ca58153183cd12bfecf08561e019b0d307626b7bdf34e93373e3ae"},"schema_version":"1.0","source":{"id":"cond-mat/0611425","kind":"arxiv","version":1}},"canonical_sha256":"22fcff628a7cc3445a42775a652a533f9f9692f84f6622f5366badfeabacb2f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22fcff628a7cc3445a42775a652a533f9f9692f84f6622f5366badfeabacb2f5","first_computed_at":"2026-05-18T01:39:39.705605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:39.705605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lLAALXRBxEKnQyrLBLdfvOosUCEEKGw862yPVAZzjJxzwRdDBVlcJLNDVA+DuAPMZyL2eNlgEBPCILtThEBpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:39.706378Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0611425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53382a5fa9652acf526a9de52886fb48f0f698bdb7d729fff919b7b52fd17ce0","sha256:75f09ad3642bd368aef9c7694f56c437f7c218b70e85e3f52ab8ced825eae9c7"],"state_sha256":"07e3b1e33f4875afef0412c67a70271dcd7f6026878b32243b6e5f8cb06a73fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GB0fLLXlUSxMJSxkwhGgGSDAARMl18SLNy5u9Pkark7ZZS/Anvlu3rKSfKfsgtDq0tWil26yAtGX32APb08fAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:12:24.623799Z","bundle_sha256":"950ca6f592b7a1ba0c77db89b036c17075a38b0df6eac1bd906cf687e49a8dde"}}