{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6EJOSOIFC7X3A22YSEERSZE32A","short_pith_number":"pith:6EJOSOIF","canonical_record":{"source":{"id":"1602.08398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-26T17:03:51Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"5f2b97441e45843cb65b9c060cb11049017ff0cc6b3edb423379675aed8ab572","abstract_canon_sha256":"6e30e3696c2c52780cee3487f50f26325bd428df1ffeaf0a2f54636eb32e13cf"},"schema_version":"1.0"},"canonical_sha256":"f112e9390517efb06b58910919649bd006625e6b6294ebd635bdd42e18533eca","source":{"kind":"arxiv","id":"1602.08398","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08398","created_at":"2026-05-18T01:12:12Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08398v1","created_at":"2026-05-18T01:12:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08398","created_at":"2026-05-18T01:12:12Z"},{"alias_kind":"pith_short_12","alias_value":"6EJOSOIFC7X3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6EJOSOIFC7X3A22Y","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6EJOSOIF","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6EJOSOIFC7X3A22YSEERSZE32A","target":"record","payload":{"canonical_record":{"source":{"id":"1602.08398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-26T17:03:51Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"5f2b97441e45843cb65b9c060cb11049017ff0cc6b3edb423379675aed8ab572","abstract_canon_sha256":"6e30e3696c2c52780cee3487f50f26325bd428df1ffeaf0a2f54636eb32e13cf"},"schema_version":"1.0"},"canonical_sha256":"f112e9390517efb06b58910919649bd006625e6b6294ebd635bdd42e18533eca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:12.189062Z","signature_b64":"fTi3/qtsOE/9rR2hV+M0Rt9yMCOUI7eb/6F0TtUk9Yj+rPem1NSCMz6Ja5v0+TnZmZF3xelPskI19imSKNo0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f112e9390517efb06b58910919649bd006625e6b6294ebd635bdd42e18533eca","last_reissued_at":"2026-05-18T01:12:12.188639Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:12.188639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.08398","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":"2026-05-18T01:12:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SuFttbGj2RGJXPRIqy8NgZ95rhMkz6zCxoQ/S1xbpf5+w8pwH1VUuExEhVS6kFrxrM4m8hZFJSZwVKQu+ZIxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:07:45.783334Z"},"content_sha256":"800bce1e7c4c7b8fb266aef03e59ab1d5776a835de72212c025d76e2e4434242","schema_version":"1.0","event_id":"sha256:800bce1e7c4c7b8fb266aef03e59ab1d5776a835de72212c025d76e2e4434242"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6EJOSOIFC7X3A22YSEERSZE32A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"David Langlois, Jibril Ben Achour, Karim Noui","submitted_at":"2016-02-26T17:03:51Z","abstract_excerpt":"We consider all degenerate scalar-tensor theories that depend quadratically on second order derivatives of a scalar field, which we have identified in a previous work. These theories, whose degeneracy in general ensures the absence of Ostrogradski instability, include the quartic Horndenski Lagrangian as well as its quartic extension beyond Horndeski, but also other families of Lagrangians. We study how all these theories transform under general conformal-disformal transformations and find that they can be separated into three main classes that are stable under these transformations. This lead"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08398","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":"2026-05-18T01:12:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dz49/Fz6h+kZ/Onbg3CH0pH+QjBYZtVnTavL6IlXtBrQucW4g/t2wUThJdqytZlwCGd7e9mvKvnmrSG9Tx6oAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:07:45.783694Z"},"content_sha256":"1e51355864016061d0ec830a500ff8c503bfe25eba25d0b5a8f04bea9808ae34","schema_version":"1.0","event_id":"sha256:1e51355864016061d0ec830a500ff8c503bfe25eba25d0b5a8f04bea9808ae34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6EJOSOIFC7X3A22YSEERSZE32A/bundle.json","state_url":"https://pith.science/pith/6EJOSOIFC7X3A22YSEERSZE32A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6EJOSOIFC7X3A22YSEERSZE32A/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":"2026-06-02T14:07:45Z","links":{"resolver":"https://pith.science/pith/6EJOSOIFC7X3A22YSEERSZE32A","bundle":"https://pith.science/pith/6EJOSOIFC7X3A22YSEERSZE32A/bundle.json","state":"https://pith.science/pith/6EJOSOIFC7X3A22YSEERSZE32A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6EJOSOIFC7X3A22YSEERSZE32A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6EJOSOIFC7X3A22YSEERSZE32A","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":"6e30e3696c2c52780cee3487f50f26325bd428df1ffeaf0a2f54636eb32e13cf","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-26T17:03:51Z","title_canon_sha256":"5f2b97441e45843cb65b9c060cb11049017ff0cc6b3edb423379675aed8ab572"},"schema_version":"1.0","source":{"id":"1602.08398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08398","created_at":"2026-05-18T01:12:12Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08398v1","created_at":"2026-05-18T01:12:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08398","created_at":"2026-05-18T01:12:12Z"},{"alias_kind":"pith_short_12","alias_value":"6EJOSOIFC7X3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6EJOSOIFC7X3A22Y","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6EJOSOIF","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:1e51355864016061d0ec830a500ff8c503bfe25eba25d0b5a8f04bea9808ae34","target":"graph","created_at":"2026-05-18T01:12:12Z","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 consider all degenerate scalar-tensor theories that depend quadratically on second order derivatives of a scalar field, which we have identified in a previous work. These theories, whose degeneracy in general ensures the absence of Ostrogradski instability, include the quartic Horndenski Lagrangian as well as its quartic extension beyond Horndeski, but also other families of Lagrangians. We study how all these theories transform under general conformal-disformal transformations and find that they can be separated into three main classes that are stable under these transformations. This lead","authors_text":"David Langlois, Jibril Ben Achour, Karim Noui","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-26T17:03:51Z","title":"Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08398","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":"sha256:800bce1e7c4c7b8fb266aef03e59ab1d5776a835de72212c025d76e2e4434242","target":"record","created_at":"2026-05-18T01:12:12Z","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":"6e30e3696c2c52780cee3487f50f26325bd428df1ffeaf0a2f54636eb32e13cf","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-26T17:03:51Z","title_canon_sha256":"5f2b97441e45843cb65b9c060cb11049017ff0cc6b3edb423379675aed8ab572"},"schema_version":"1.0","source":{"id":"1602.08398","kind":"arxiv","version":1}},"canonical_sha256":"f112e9390517efb06b58910919649bd006625e6b6294ebd635bdd42e18533eca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f112e9390517efb06b58910919649bd006625e6b6294ebd635bdd42e18533eca","first_computed_at":"2026-05-18T01:12:12.188639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:12.188639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fTi3/qtsOE/9rR2hV+M0Rt9yMCOUI7eb/6F0TtUk9Yj+rPem1NSCMz6Ja5v0+TnZmZF3xelPskI19imSKNo0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:12.189062Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:800bce1e7c4c7b8fb266aef03e59ab1d5776a835de72212c025d76e2e4434242","sha256:1e51355864016061d0ec830a500ff8c503bfe25eba25d0b5a8f04bea9808ae34"],"state_sha256":"8cd17cb8c8e0376fe5aca37b36e868b3c292f38e7a49ab9f6d29395019186488"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nik6RFeQfNIosWySvjyWAnyYuO5RC5lO4I+TeLmWUP5kAHBvvv41UPM2CiMlKZZ1Z2qupXj4h8y96aV0BXyUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:07:45.785691Z","bundle_sha256":"a262f62136e53ed589f4aa8c2847929c589663ea3492486fb61df3d556bbfae0"}}