{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:M2MFKBRQQJTDTPIVXYUCMUJXWH","short_pith_number":"pith:M2MFKBRQ","canonical_record":{"source":{"id":"1812.08630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-20T15:18:35Z","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"title_canon_sha256":"b501af1df52971a5d229ee795adfa196be6987323f1a0a6ac8a75272e757659c","abstract_canon_sha256":"1ee7185b7912ed4808b3fa89153852b2a5b3c7bf6bb9c3a9569198d382ca45ca"},"schema_version":"1.0"},"canonical_sha256":"6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe","source":{"kind":"arxiv","id":"1812.08630","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.08630","created_at":"2026-05-17T23:57:49Z"},{"alias_kind":"arxiv_version","alias_value":"1812.08630v1","created_at":"2026-05-17T23:57:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08630","created_at":"2026-05-17T23:57:49Z"},{"alias_kind":"pith_short_12","alias_value":"M2MFKBRQQJTD","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M2MFKBRQQJTDTPIV","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M2MFKBRQ","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:M2MFKBRQQJTDTPIVXYUCMUJXWH","target":"record","payload":{"canonical_record":{"source":{"id":"1812.08630","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-20T15:18:35Z","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"title_canon_sha256":"b501af1df52971a5d229ee795adfa196be6987323f1a0a6ac8a75272e757659c","abstract_canon_sha256":"1ee7185b7912ed4808b3fa89153852b2a5b3c7bf6bb9c3a9569198d382ca45ca"},"schema_version":"1.0"},"canonical_sha256":"6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:49.479144Z","signature_b64":"R6OQ2MHj8/ojd0JP0iOJQvhCljIY30Le3kFNitogLCxNDMNIhMOPSthjTn0urxVvxAo22JQEMsEZx8v/zGeKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe","last_reissued_at":"2026-05-17T23:57:49.478566Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:49.478566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.08630","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":"2026-05-17T23:57:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTNDYPryhbiTdJZaxSq9z1k+MDSuiUDoQ5KLBG1LaG/FTRPdChpX2hVDn7K7Y9XK3fMY8d4ZFv4BxqTUXfjSBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:00:55.313311Z"},"content_sha256":"8d6e6827ef490e4e56b643a8fa52dac0c0c9b78fa89e051464e5ef6753c807a3","schema_version":"1.0","event_id":"sha256:8d6e6827ef490e4e56b643a8fa52dac0c0c9b78fa89e051464e5ef6753c807a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:M2MFKBRQQJTDTPIVXYUCMUJXWH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hopfion solutions in gravity and a null fluid/gravity conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","physics.flu-dyn"],"primary_cat":"hep-th","authors_text":"Daniel W.F. Alves, Horatiu Nastase","submitted_at":"2018-12-20T15:18:35Z","abstract_excerpt":"We conjecture an extension of the fluid/gravity correspondence to the null pressureless fluid case via gravitational shockwave solutions, and use it to propose an embedding of the fluid Hopfion in gravity. A nonlinear gravitational \"helicity\" is also proposed, analogous with the helicity of electromagnetism and fluid dynamics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08630","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":"2026-05-17T23:57:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yqov3bzdAINloZ2ikB4Mbb0SfIvRXOTHeWEmSaafUomOUBr7VUI8iDu8F6Lt9HpNwBDO+qdz5LBaV8sigtZqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:00:55.313956Z"},"content_sha256":"bdb58db350f59bc04d4917631eb3a4896afb53d54ac932b5f8c36e433718403a","schema_version":"1.0","event_id":"sha256:bdb58db350f59bc04d4917631eb3a4896afb53d54ac932b5f8c36e433718403a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH/bundle.json","state_url":"https://pith.science/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH/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":"2026-06-02T06:00:55Z","links":{"resolver":"https://pith.science/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH","bundle":"https://pith.science/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH/bundle.json","state":"https://pith.science/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2MFKBRQQJTDTPIVXYUCMUJXWH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M2MFKBRQQJTDTPIVXYUCMUJXWH","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":"1ee7185b7912ed4808b3fa89153852b2a5b3c7bf6bb9c3a9569198d382ca45ca","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-20T15:18:35Z","title_canon_sha256":"b501af1df52971a5d229ee795adfa196be6987323f1a0a6ac8a75272e757659c"},"schema_version":"1.0","source":{"id":"1812.08630","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.08630","created_at":"2026-05-17T23:57:49Z"},{"alias_kind":"arxiv_version","alias_value":"1812.08630v1","created_at":"2026-05-17T23:57:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08630","created_at":"2026-05-17T23:57:49Z"},{"alias_kind":"pith_short_12","alias_value":"M2MFKBRQQJTD","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M2MFKBRQQJTDTPIV","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M2MFKBRQ","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:bdb58db350f59bc04d4917631eb3a4896afb53d54ac932b5f8c36e433718403a","target":"graph","created_at":"2026-05-17T23:57:49Z","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 conjecture an extension of the fluid/gravity correspondence to the null pressureless fluid case via gravitational shockwave solutions, and use it to propose an embedding of the fluid Hopfion in gravity. A nonlinear gravitational \"helicity\" is also proposed, analogous with the helicity of electromagnetism and fluid dynamics.","authors_text":"Daniel W.F. Alves, Horatiu Nastase","cross_cats":["gr-qc","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-20T15:18:35Z","title":"Hopfion solutions in gravity and a null fluid/gravity conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08630","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":"sha256:8d6e6827ef490e4e56b643a8fa52dac0c0c9b78fa89e051464e5ef6753c807a3","target":"record","created_at":"2026-05-17T23:57:49Z","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":"1ee7185b7912ed4808b3fa89153852b2a5b3c7bf6bb9c3a9569198d382ca45ca","cross_cats_sorted":["gr-qc","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-20T15:18:35Z","title_canon_sha256":"b501af1df52971a5d229ee795adfa196be6987323f1a0a6ac8a75272e757659c"},"schema_version":"1.0","source":{"id":"1812.08630","kind":"arxiv","version":1}},"canonical_sha256":"6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe","first_computed_at":"2026-05-17T23:57:49.478566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:49.478566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R6OQ2MHj8/ojd0JP0iOJQvhCljIY30Le3kFNitogLCxNDMNIhMOPSthjTn0urxVvxAo22JQEMsEZx8v/zGeKAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:49.479144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.08630","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d6e6827ef490e4e56b643a8fa52dac0c0c9b78fa89e051464e5ef6753c807a3","sha256:bdb58db350f59bc04d4917631eb3a4896afb53d54ac932b5f8c36e433718403a"],"state_sha256":"681fc25d90fb3b1a1f7794c27fd6192a08806574c5b1586b6051644d8b001f3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JesmvRw7zC+D9S0mIetTw5TFJWUmwrnn9UmccMDYx3I4/QwgL4Hl9G50ccdPkWh4rOD1klfjfK9vm8aqKqY+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:00:55.316703Z","bundle_sha256":"9c6e6035da9e19895c5fa38f65ae9bcf0918ecb2c5dc291b57e91b1a97252a25"}}