{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:BRDBSC7E6MAKQESVZ4V57B3SAX","short_pith_number":"pith:BRDBSC7E","canonical_record":{"source":{"id":"2204.06672","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-13T23:38:55Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"364b6bdc319265ade54c2ff40a2ff207fd50e98a6dfafe9e76cf5a63adfb4f7c","abstract_canon_sha256":"f1150bebf6069006ebee7cb17a51807d75e165715e403665f81b85e55415de4e"},"schema_version":"1.0"},"canonical_sha256":"0c46190be4f300a81255cf2bdf877205e82d35d38e6c1f1cd7d0cea9ffe9c9ae","source":{"kind":"arxiv","id":"2204.06672","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.06672","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"arxiv_version","alias_value":"2204.06672v2","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.06672","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"pith_short_12","alias_value":"BRDBSC7E6MAK","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"pith_short_16","alias_value":"BRDBSC7E6MAKQESV","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"pith_short_8","alias_value":"BRDBSC7E","created_at":"2026-07-05T04:54:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:BRDBSC7E6MAKQESVZ4V57B3SAX","target":"record","payload":{"canonical_record":{"source":{"id":"2204.06672","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-13T23:38:55Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"364b6bdc319265ade54c2ff40a2ff207fd50e98a6dfafe9e76cf5a63adfb4f7c","abstract_canon_sha256":"f1150bebf6069006ebee7cb17a51807d75e165715e403665f81b85e55415de4e"},"schema_version":"1.0"},"canonical_sha256":"0c46190be4f300a81255cf2bdf877205e82d35d38e6c1f1cd7d0cea9ffe9c9ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:54:55.974235Z","signature_b64":"Tjv0O1NoRh+En3PYwd1B2uG/acVyWb3q+C3ZSq0xNgZuYwnxzErNkQ7jPcEKlVDjwC4b8jmaTCWIZR8mKm97AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c46190be4f300a81255cf2bdf877205e82d35d38e6c1f1cd7d0cea9ffe9c9ae","last_reissued_at":"2026-07-05T04:54:55.973816Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:54:55.973816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2204.06672","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":"2026-07-05T04:54:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W3441XeVffIL625I6SL9+Be4IrvE6NPM0OWXH3wKkLZlcGsKKFUvkC+j55Sy0Get62m5Da4bRbo3+kS0NfGFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:08:12.845891Z"},"content_sha256":"ad243b2af0cf987d558600b9ffe06c094b2c505c76beff360c5857d68d869d73","schema_version":"1.0","event_id":"sha256:ad243b2af0cf987d558600b9ffe06c094b2c505c76beff360c5857d68d869d73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:BRDBSC7E6MAKQESVZ4V57B3SAX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective Field Theory of Gravitating Continuum: Solids, Fluids, and Aether Unified","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Katsuki Aoki, Kazufumi Takahashi, Mohammad Ali Gorji, Shinji Mukohyama","submitted_at":"2022-04-13T23:38:55Z","abstract_excerpt":"We investigate the relativistic effective field theory (EFT) describing a non-dissipative gravitating continuum. In addition to ordinary continua, namely solids and fluids, we find an extraordinary more symmetric continuum, aether. In particular, the symmetry of the aether concludes that a homogeneous and isotropic state behaves like a cosmological constant. We formulate the EFT in the unitary/comoving gauge in which the dynamical degrees of freedom of the continuum (phonons) are eaten by the spacetime metric. This gauge choice, which is interpreted as the Lagrangian description in hydrodynami"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.06672","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2204.06672/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:54:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N0hLQrUQ0BsKjK/dV3fx++bVRzN6coLofInDiZcwC5g92h/gV4SZCffi9G5OWZvcfntulSFAxCiekPoMPhQrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:08:12.846497Z"},"content_sha256":"04904c0a3b0b613956d353cdf9cfa3736dd4c445f5ce38e603596d07ad829cad","schema_version":"1.0","event_id":"sha256:04904c0a3b0b613956d353cdf9cfa3736dd4c445f5ce38e603596d07ad829cad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BRDBSC7E6MAKQESVZ4V57B3SAX/bundle.json","state_url":"https://pith.science/pith/BRDBSC7E6MAKQESVZ4V57B3SAX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BRDBSC7E6MAKQESVZ4V57B3SAX/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":"2026-08-04T18:08:12Z","links":{"resolver":"https://pith.science/pith/BRDBSC7E6MAKQESVZ4V57B3SAX","bundle":"https://pith.science/pith/BRDBSC7E6MAKQESVZ4V57B3SAX/bundle.json","state":"https://pith.science/pith/BRDBSC7E6MAKQESVZ4V57B3SAX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BRDBSC7E6MAKQESVZ4V57B3SAX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BRDBSC7E6MAKQESVZ4V57B3SAX","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":"f1150bebf6069006ebee7cb17a51807d75e165715e403665f81b85e55415de4e","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-13T23:38:55Z","title_canon_sha256":"364b6bdc319265ade54c2ff40a2ff207fd50e98a6dfafe9e76cf5a63adfb4f7c"},"schema_version":"1.0","source":{"id":"2204.06672","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2204.06672","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"arxiv_version","alias_value":"2204.06672v2","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2204.06672","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"pith_short_12","alias_value":"BRDBSC7E6MAK","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"pith_short_16","alias_value":"BRDBSC7E6MAKQESV","created_at":"2026-07-05T04:54:55Z"},{"alias_kind":"pith_short_8","alias_value":"BRDBSC7E","created_at":"2026-07-05T04:54:55Z"}],"graph_snapshots":[{"event_id":"sha256:04904c0a3b0b613956d353cdf9cfa3736dd4c445f5ce38e603596d07ad829cad","target":"graph","created_at":"2026-07-05T04:54:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2204.06672/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the relativistic effective field theory (EFT) describing a non-dissipative gravitating continuum. In addition to ordinary continua, namely solids and fluids, we find an extraordinary more symmetric continuum, aether. In particular, the symmetry of the aether concludes that a homogeneous and isotropic state behaves like a cosmological constant. We formulate the EFT in the unitary/comoving gauge in which the dynamical degrees of freedom of the continuum (phonons) are eaten by the spacetime metric. This gauge choice, which is interpreted as the Lagrangian description in hydrodynami","authors_text":"Katsuki Aoki, Kazufumi Takahashi, Mohammad Ali Gorji, Shinji Mukohyama","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-13T23:38:55Z","title":"Effective Field Theory of Gravitating Continuum: Solids, Fluids, and Aether Unified"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2204.06672","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:ad243b2af0cf987d558600b9ffe06c094b2c505c76beff360c5857d68d869d73","target":"record","created_at":"2026-07-05T04:54:55Z","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":"f1150bebf6069006ebee7cb17a51807d75e165715e403665f81b85e55415de4e","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-04-13T23:38:55Z","title_canon_sha256":"364b6bdc319265ade54c2ff40a2ff207fd50e98a6dfafe9e76cf5a63adfb4f7c"},"schema_version":"1.0","source":{"id":"2204.06672","kind":"arxiv","version":2}},"canonical_sha256":"0c46190be4f300a81255cf2bdf877205e82d35d38e6c1f1cd7d0cea9ffe9c9ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c46190be4f300a81255cf2bdf877205e82d35d38e6c1f1cd7d0cea9ffe9c9ae","first_computed_at":"2026-07-05T04:54:55.973816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:54:55.973816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tjv0O1NoRh+En3PYwd1B2uG/acVyWb3q+C3ZSq0xNgZuYwnxzErNkQ7jPcEKlVDjwC4b8jmaTCWIZR8mKm97AA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:54:55.974235Z","signed_message":"canonical_sha256_bytes"},"source_id":"2204.06672","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad243b2af0cf987d558600b9ffe06c094b2c505c76beff360c5857d68d869d73","sha256:04904c0a3b0b613956d353cdf9cfa3736dd4c445f5ce38e603596d07ad829cad"],"state_sha256":"d69972c01bdf995288954b671f82cbc442b8f8701316e565b0956e16b4ace1a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ElEJlagSwAKlm8+ZmiCM81h+Pg+9UCScUJlYsl6Z2Thdd2pXIXQO5fXbJL2rUSsrPJXM6lRt2ti4UKr5SMbxCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:08:12.851518Z","bundle_sha256":"4fd7d29d1d1cf260da720bf970e8fd5e610e5a23e14f1d151b0b0c2c968d63b8"}}