{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NXAEYA3TCNL3AJ5M75FBNYL54U","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":"ac7cccd5b6f345b3b8bce16760f555a957db5ae9b963ced3da917ae12d7fb390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T18:41:08Z","title_canon_sha256":"aa4203af4b93a1a1d75e0b67efa92cef8b9f6bbdf21f02557c6040bb755b9953"},"schema_version":"1.0","source":{"id":"1010.0974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0974","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0974v1","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0974","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"NXAEYA3TCNL3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NXAEYA3TCNL3AJ5M","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NXAEYA3T","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:8bc327e4c484a13887f61793591e29910ae67f1b5f7b762ac2ec97feb73e0d04","target":"graph","created_at":"2026-05-18T04:14:38Z","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 have re-examined the Andreev-Lifshitz theory of supersolids. This theory implicitly neglects uniform bulk processes that change the vacancy number, and assumes an internal pressure $P$ in addition to lattice stress $\\lambda_{ik}$. Each of $P$ and $\\lambda_{ik}$ takes up a part of an external, or applied, pressure $P_a$ (necessary for solid 4He). The theory gives four pairs of propagating elastic modes, of which one pair corresponds to a fourth-sound mode, and a single diffusive mode, which has not been analyzed previously. The diffusive mode has three distinct velocities, with the superflui","authors_text":"Matthew R. Sears, Wayne M. Saslow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T18:41:08Z","title":"Andreev-Lifshitz Supersolid Hydrodynamics Including the Diffusive Mode"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0974","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":"sha256:9ecaabf3159d636c1a04c6bd4e08516bac7464de44443752c13293d62c2cb6ab","target":"record","created_at":"2026-05-18T04:14:38Z","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":"ac7cccd5b6f345b3b8bce16760f555a957db5ae9b963ced3da917ae12d7fb390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T18:41:08Z","title_canon_sha256":"aa4203af4b93a1a1d75e0b67efa92cef8b9f6bbdf21f02557c6040bb755b9953"},"schema_version":"1.0","source":{"id":"1010.0974","kind":"arxiv","version":1}},"canonical_sha256":"6dc04c03731357b027acff4a16e17de52f5971984d9fd887da41bae7478a4db7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dc04c03731357b027acff4a16e17de52f5971984d9fd887da41bae7478a4db7","first_computed_at":"2026-05-18T04:14:38.055849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:38.055849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w0X+JThe/1OJlibowOlyjHL0zJAuuWauLvRkHJS7fk2gUb4RceGtXHDBdyD5gE9Z4Xn7Dl1q1Dxbp1cagQWLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:38.056278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ecaabf3159d636c1a04c6bd4e08516bac7464de44443752c13293d62c2cb6ab","sha256:8bc327e4c484a13887f61793591e29910ae67f1b5f7b762ac2ec97feb73e0d04"],"state_sha256":"68edf05abf71629492a4f9d79bde3700027ba9340592858f26ffc539165faffa"}