{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NFCX6YMBH2V5TPNQJJC5INR7ND","short_pith_number":"pith:NFCX6YMB","canonical_record":{"source":{"id":"1010.0952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T17:30:16Z","cross_cats_sorted":[],"title_canon_sha256":"16351747568d74f9579e0abbe4e758d076e249c0591a8b0bcac23ddde28d2958","abstract_canon_sha256":"aca36c49bf050ad2e0bc2952a9e7903a4799690989dc829d4f8ab69bfe086a07"},"schema_version":"1.0"},"canonical_sha256":"69457f61813eabd9bdb04a45d4363f68f17aea95f0811ba0a6b54b2aa8a3bd23","source":{"kind":"arxiv","id":"1010.0952","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0952","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0952v1","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0952","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"NFCX6YMBH2V5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NFCX6YMBH2V5TPNQ","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NFCX6YMB","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NFCX6YMBH2V5TPNQJJC5INR7ND","target":"record","payload":{"canonical_record":{"source":{"id":"1010.0952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T17:30:16Z","cross_cats_sorted":[],"title_canon_sha256":"16351747568d74f9579e0abbe4e758d076e249c0591a8b0bcac23ddde28d2958","abstract_canon_sha256":"aca36c49bf050ad2e0bc2952a9e7903a4799690989dc829d4f8ab69bfe086a07"},"schema_version":"1.0"},"canonical_sha256":"69457f61813eabd9bdb04a45d4363f68f17aea95f0811ba0a6b54b2aa8a3bd23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:38.067834Z","signature_b64":"HD9Ue+FPaCrpIreDCaGL2iO7GtnZFUuD/6wqqf4EK4mWvv75NASDiE1lLYnNvNjjUrD2RRth9ftNngFMJyxlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69457f61813eabd9bdb04a45d4363f68f17aea95f0811ba0a6b54b2aa8a3bd23","last_reissued_at":"2026-05-18T04:14:38.067376Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:38.067376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.0952","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":"2026-05-18T04:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7JXbwjOfTs79YESMZeULLbs1TiV8G2EpArdGQIaqn1ur0zvq+775In/FTGlzugJtFwqLwSR+DLFGHQCpMYnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:38:01.495892Z"},"content_sha256":"a3d83de61a73ab292e48f0ad61f7e84501fa71529b414ce47cd4087c63b6ee6b","schema_version":"1.0","event_id":"sha256:a3d83de61a73ab292e48f0ad61f7e84501fa71529b414ce47cd4087c63b6ee6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NFCX6YMBH2V5TPNQJJC5INR7ND","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Andreev-Lifshitz Hydrodynamics Applied to an Ordinary Solid under Pressure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Matthew R. Sears, Wayne M. Saslow","submitted_at":"2010-10-05T17:30:16Z","abstract_excerpt":"We have applied the Andreev-Lifshitz hydrodynamic theory of supersolids to an ordinary solid. This theory includes an internal pressure $P$, distinct from the applied pressure $P_a$ and the stress tensor $\\lambda_{ik}$. Under uniform static $P_{a}$, we have $\\lambda_{ik} = (P-P_{a})\\delta_{ik}$. For $P_{a} \\ne 0$, Maxwell relations imply that $P \\sim P_{a}^{2}$. The theory also permits vacancy diffusion but treats vacancies as conserved. It gives three sets of propagating elastic modes; it also gives two diffusive modes, one largely of entropy density and one largely of vacancy density (or, mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0952","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":"2026-05-18T04:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iRyF1gX3nlWXuG+d1oVBM9D06nSUU6Ot6bXw4AKtBClZKz72kOQy4iFd2IlxNYRlJs/mpHEyDxMKezbD6mMXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:38:01.496230Z"},"content_sha256":"f638ee9693311e712a310780a9468da87f18322d32a30b3e2033bc95b02ab8ec","schema_version":"1.0","event_id":"sha256:f638ee9693311e712a310780a9468da87f18322d32a30b3e2033bc95b02ab8ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFCX6YMBH2V5TPNQJJC5INR7ND/bundle.json","state_url":"https://pith.science/pith/NFCX6YMBH2V5TPNQJJC5INR7ND/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFCX6YMBH2V5TPNQJJC5INR7ND/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":"2026-06-02T01:38:01Z","links":{"resolver":"https://pith.science/pith/NFCX6YMBH2V5TPNQJJC5INR7ND","bundle":"https://pith.science/pith/NFCX6YMBH2V5TPNQJJC5INR7ND/bundle.json","state":"https://pith.science/pith/NFCX6YMBH2V5TPNQJJC5INR7ND/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFCX6YMBH2V5TPNQJJC5INR7ND/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NFCX6YMBH2V5TPNQJJC5INR7ND","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":"aca36c49bf050ad2e0bc2952a9e7903a4799690989dc829d4f8ab69bfe086a07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T17:30:16Z","title_canon_sha256":"16351747568d74f9579e0abbe4e758d076e249c0591a8b0bcac23ddde28d2958"},"schema_version":"1.0","source":{"id":"1010.0952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0952","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0952v1","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0952","created_at":"2026-05-18T04:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"NFCX6YMBH2V5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NFCX6YMBH2V5TPNQ","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NFCX6YMB","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:f638ee9693311e712a310780a9468da87f18322d32a30b3e2033bc95b02ab8ec","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 applied the Andreev-Lifshitz hydrodynamic theory of supersolids to an ordinary solid. This theory includes an internal pressure $P$, distinct from the applied pressure $P_a$ and the stress tensor $\\lambda_{ik}$. Under uniform static $P_{a}$, we have $\\lambda_{ik} = (P-P_{a})\\delta_{ik}$. For $P_{a} \\ne 0$, Maxwell relations imply that $P \\sim P_{a}^{2}$. The theory also permits vacancy diffusion but treats vacancies as conserved. It gives three sets of propagating elastic modes; it also gives two diffusive modes, one largely of entropy density and one largely of vacancy density (or, mo","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":"2010-10-05T17:30:16Z","title":"Andreev-Lifshitz Hydrodynamics Applied to an Ordinary Solid under Pressure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0952","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:a3d83de61a73ab292e48f0ad61f7e84501fa71529b414ce47cd4087c63b6ee6b","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":"aca36c49bf050ad2e0bc2952a9e7903a4799690989dc829d4f8ab69bfe086a07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-05T17:30:16Z","title_canon_sha256":"16351747568d74f9579e0abbe4e758d076e249c0591a8b0bcac23ddde28d2958"},"schema_version":"1.0","source":{"id":"1010.0952","kind":"arxiv","version":1}},"canonical_sha256":"69457f61813eabd9bdb04a45d4363f68f17aea95f0811ba0a6b54b2aa8a3bd23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69457f61813eabd9bdb04a45d4363f68f17aea95f0811ba0a6b54b2aa8a3bd23","first_computed_at":"2026-05-18T04:14:38.067376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:38.067376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HD9Ue+FPaCrpIreDCaGL2iO7GtnZFUuD/6wqqf4EK4mWvv75NASDiE1lLYnNvNjjUrD2RRth9ftNngFMJyxlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:38.067834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3d83de61a73ab292e48f0ad61f7e84501fa71529b414ce47cd4087c63b6ee6b","sha256:f638ee9693311e712a310780a9468da87f18322d32a30b3e2033bc95b02ab8ec"],"state_sha256":"509bd013e30222adbfbc50bb964408f4f8b1592c637fe69622e5859c45aa3aba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2IYm3RWO1cnnrdp7DAMOhnnt9OSWfqESgDk6UTLW8j+/RvzNSZxz3Spz6uj6Fe9WVP5ptVoojcqbXs15FTUODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:38:01.498145Z","bundle_sha256":"4abcbc21edd31f5f858f7ad04b44b3cc726e819c41fa8975840dde2e554b38f4"}}