{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DHJGNQUGGXGAUQIEAVADO4J3RZ","short_pith_number":"pith:DHJGNQUG","canonical_record":{"source":{"id":"1811.06915","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-16T16:56:23Z","cross_cats_sorted":[],"title_canon_sha256":"055f5a7b1f40004e3778d5d0221e6475d969ab7b41cc8617262bc8c91f694782","abstract_canon_sha256":"37fcc3224b72444cc9ec979d9e841662b86557414ef717e48cdc06329b32caf3"},"schema_version":"1.0"},"canonical_sha256":"19d266c28635cc0a4104054037713b8e62ecf774b86644567137626cfb389224","source":{"kind":"arxiv","id":"1811.06915","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06915","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06915v2","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06915","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"DHJGNQUGGXGA","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DHJGNQUGGXGAUQIE","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DHJGNQUG","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DHJGNQUGGXGAUQIEAVADO4J3RZ","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06915","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-16T16:56:23Z","cross_cats_sorted":[],"title_canon_sha256":"055f5a7b1f40004e3778d5d0221e6475d969ab7b41cc8617262bc8c91f694782","abstract_canon_sha256":"37fcc3224b72444cc9ec979d9e841662b86557414ef717e48cdc06329b32caf3"},"schema_version":"1.0"},"canonical_sha256":"19d266c28635cc0a4104054037713b8e62ecf774b86644567137626cfb389224","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:29.289180Z","signature_b64":"G+2WlyQePXyGeola0TxVnpNsDnqJAwFMkz4UNItP5GxOOPxEZntImlEnRGTkrqacZ2kNa4X7EWbeXYb107fRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19d266c28635cc0a4104054037713b8e62ecf774b86644567137626cfb389224","last_reissued_at":"2026-05-18T00:00:29.288566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:29.288566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06915","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4BxhXDv2caSF8GDJwKzipoWrVCx4evpMg8Zi7ZpoHKOCVr21k/84Ildgkyu7cAPUlSInnEle3NGwuaDatu+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:16:13.225223Z"},"content_sha256":"29d17b15f4d16bc3c8993b4ae812a0710fb30e365a6d9fd218b5567c7f59cf1b","schema_version":"1.0","event_id":"sha256:29d17b15f4d16bc3c8993b4ae812a0710fb30e365a6d9fd218b5567c7f59cf1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DHJGNQUGGXGAUQIEAVADO4J3RZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A priori estimates for a relativistic liquid with free surface boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Daniel Ginsberg","submitted_at":"2018-11-16T16:56:23Z","abstract_excerpt":"We prove energy estimates for a relativistic free liquid body with sufficiently small fluid velocity in a general Einstein spacetime. These estimates control Sobolev norms of the fluid velocity and enthalpy in the interior as well as Sobolev norms of the second fundamental form on the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06915","kind":"arxiv","version":2},"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":"2026-05-18T00:00:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nEw+olCA6EmBw6/pj5TKVdQfnHx8cFYMIP3Xgfjya+mEepnBtkoLqxV11ykpGnHylkyxZxr9QKfe3PM+VnByCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T11:16:13.225569Z"},"content_sha256":"b215e83fa924175c5489968a4843eee069f9c5f9c40b646ddd2f920249f37ab2","schema_version":"1.0","event_id":"sha256:b215e83fa924175c5489968a4843eee069f9c5f9c40b646ddd2f920249f37ab2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ/bundle.json","state_url":"https://pith.science/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ/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":"2026-06-28T11:16:13Z","links":{"resolver":"https://pith.science/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ","bundle":"https://pith.science/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ/bundle.json","state":"https://pith.science/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DHJGNQUGGXGAUQIEAVADO4J3RZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DHJGNQUGGXGAUQIEAVADO4J3RZ","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":"37fcc3224b72444cc9ec979d9e841662b86557414ef717e48cdc06329b32caf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-16T16:56:23Z","title_canon_sha256":"055f5a7b1f40004e3778d5d0221e6475d969ab7b41cc8617262bc8c91f694782"},"schema_version":"1.0","source":{"id":"1811.06915","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06915","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06915v2","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06915","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"DHJGNQUGGXGA","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DHJGNQUGGXGAUQIE","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DHJGNQUG","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:b215e83fa924175c5489968a4843eee069f9c5f9c40b646ddd2f920249f37ab2","target":"graph","created_at":"2026-05-18T00:00:29Z","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 prove energy estimates for a relativistic free liquid body with sufficiently small fluid velocity in a general Einstein spacetime. These estimates control Sobolev norms of the fluid velocity and enthalpy in the interior as well as Sobolev norms of the second fundamental form on the boundary.","authors_text":"Daniel Ginsberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-16T16:56:23Z","title":"A priori estimates for a relativistic liquid with free surface boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06915","kind":"arxiv","version":2},"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":"sha256:29d17b15f4d16bc3c8993b4ae812a0710fb30e365a6d9fd218b5567c7f59cf1b","target":"record","created_at":"2026-05-18T00:00:29Z","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":"37fcc3224b72444cc9ec979d9e841662b86557414ef717e48cdc06329b32caf3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-16T16:56:23Z","title_canon_sha256":"055f5a7b1f40004e3778d5d0221e6475d969ab7b41cc8617262bc8c91f694782"},"schema_version":"1.0","source":{"id":"1811.06915","kind":"arxiv","version":2}},"canonical_sha256":"19d266c28635cc0a4104054037713b8e62ecf774b86644567137626cfb389224","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19d266c28635cc0a4104054037713b8e62ecf774b86644567137626cfb389224","first_computed_at":"2026-05-18T00:00:29.288566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:29.288566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G+2WlyQePXyGeola0TxVnpNsDnqJAwFMkz4UNItP5GxOOPxEZntImlEnRGTkrqacZ2kNa4X7EWbeXYb107fRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:29.289180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06915","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29d17b15f4d16bc3c8993b4ae812a0710fb30e365a6d9fd218b5567c7f59cf1b","sha256:b215e83fa924175c5489968a4843eee069f9c5f9c40b646ddd2f920249f37ab2"],"state_sha256":"4b2751154ee1c8ff25e92efd0f13b49d381b873ad43e37f49ace5b6b94e78e4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P847YThLKV8NZMr/rUKYR0l4Yyuehj0QXWdSJxJ7WpEWoHG7KcFhyiMkmpK3G7EyYvaHKH7Rdn4GvtK5xMW2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T11:16:13.351180Z","bundle_sha256":"13a0706139d9fcd70646500cf72007d672f90042970a91e76823cf3592a5f5cc"}}