{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VF7EMYVP6WHMXXB7MDABP2T3ZF","short_pith_number":"pith:VF7EMYVP","canonical_record":{"source":{"id":"1107.4978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-25T15:24:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b563ae924d3beddd094e856e43aeb794a68902e2f97d3d7846a34261afe66b95","abstract_canon_sha256":"75f8adcbdc5cb051f28bc10a88aea3543f68081d825ff7849437dad83758de53"},"schema_version":"1.0"},"canonical_sha256":"a97e4662aff58ecbdc3f60c017ea7bc94eec7990215a882370062517ed51ee9e","source":{"kind":"arxiv","id":"1107.4978","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4978","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4978v1","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4978","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"VF7EMYVP6WHM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VF7EMYVP6WHMXXB7","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VF7EMYVP","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VF7EMYVP6WHMXXB7MDABP2T3ZF","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-25T15:24:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b563ae924d3beddd094e856e43aeb794a68902e2f97d3d7846a34261afe66b95","abstract_canon_sha256":"75f8adcbdc5cb051f28bc10a88aea3543f68081d825ff7849437dad83758de53"},"schema_version":"1.0"},"canonical_sha256":"a97e4662aff58ecbdc3f60c017ea7bc94eec7990215a882370062517ed51ee9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:10.454070Z","signature_b64":"vnWq9a5ng6IfxznH+mZSky2B01XDZUUs0wdMdOZABkyVprH3h5Uu+YW3qBLxCJqbh3w10V4yNoljZK79j+/ZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a97e4662aff58ecbdc3f60c017ea7bc94eec7990215a882370062517ed51ee9e","last_reissued_at":"2026-05-18T02:01:10.453515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:10.453515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4978","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":"2026-05-18T02:01:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P2Fx75Ah8bu2a+1/TExBLoyvKLAHNO6YGmAKiu13n8KaV9PsAIwW4LYlu1ktqNjiPWHUTyTxIll/OEJeLs+wDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:44:33.189047Z"},"content_sha256":"bf8c06983c339f0d699e3b76b4447e1aff53f05ce4088d9704151dc58c0d528b","schema_version":"1.0","event_id":"sha256:bf8c06983c339f0d699e3b76b4447e1aff53f05ce4088d9704151dc58c0d528b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VF7EMYVP6WHMXXB7MDABP2T3ZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On horizon structure of bimetric spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"C\\'edric Deffayet, Ted Jacobson","submitted_at":"2011-07-25T15:24:35Z","abstract_excerpt":"We discuss the structure of horizons in spacetimes with two metrics, with applications to the Vainshtein mechanism and other examples. We show, without using the field equations, that if the two metrics are static, spherically symmetric, nonsingular, and diagonal in a common coordinate system, then a Killing horizon for one must also be a Killing horizon for the other. We then generalize this result to the axisymmetric case. We also show that the surface gravities must agree if the bifurcation surface in one spacetime lies smoothly in the interior of the spacetime of the other metric. These re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4978","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":"2026-05-18T02:01:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+axFZc9aLFL2q3ZL3CdedfqBjst6uoYeA7dBRIbSgpaEv0JlafnQF8hL7ESdUs/CkrgAN7iYXI4QGOU2WLpzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:44:33.189415Z"},"content_sha256":"54622971a44c137e601436e9026d670e76ef3cca5fe18f9162ddd6634fd32660","schema_version":"1.0","event_id":"sha256:54622971a44c137e601436e9026d670e76ef3cca5fe18f9162ddd6634fd32660"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF/bundle.json","state_url":"https://pith.science/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF/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":"2026-06-04T02:44:33Z","links":{"resolver":"https://pith.science/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF","bundle":"https://pith.science/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF/bundle.json","state":"https://pith.science/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VF7EMYVP6WHMXXB7MDABP2T3ZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VF7EMYVP6WHMXXB7MDABP2T3ZF","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":"75f8adcbdc5cb051f28bc10a88aea3543f68081d825ff7849437dad83758de53","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-25T15:24:35Z","title_canon_sha256":"b563ae924d3beddd094e856e43aeb794a68902e2f97d3d7846a34261afe66b95"},"schema_version":"1.0","source":{"id":"1107.4978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4978","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4978v1","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4978","created_at":"2026-05-18T02:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"VF7EMYVP6WHM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VF7EMYVP6WHMXXB7","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VF7EMYVP","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:54622971a44c137e601436e9026d670e76ef3cca5fe18f9162ddd6634fd32660","target":"graph","created_at":"2026-05-18T02:01:10Z","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 discuss the structure of horizons in spacetimes with two metrics, with applications to the Vainshtein mechanism and other examples. We show, without using the field equations, that if the two metrics are static, spherically symmetric, nonsingular, and diagonal in a common coordinate system, then a Killing horizon for one must also be a Killing horizon for the other. We then generalize this result to the axisymmetric case. We also show that the surface gravities must agree if the bifurcation surface in one spacetime lies smoothly in the interior of the spacetime of the other metric. These re","authors_text":"C\\'edric Deffayet, Ted Jacobson","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-25T15:24:35Z","title":"On horizon structure of bimetric spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4978","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:bf8c06983c339f0d699e3b76b4447e1aff53f05ce4088d9704151dc58c0d528b","target":"record","created_at":"2026-05-18T02:01:10Z","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":"75f8adcbdc5cb051f28bc10a88aea3543f68081d825ff7849437dad83758de53","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-25T15:24:35Z","title_canon_sha256":"b563ae924d3beddd094e856e43aeb794a68902e2f97d3d7846a34261afe66b95"},"schema_version":"1.0","source":{"id":"1107.4978","kind":"arxiv","version":1}},"canonical_sha256":"a97e4662aff58ecbdc3f60c017ea7bc94eec7990215a882370062517ed51ee9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a97e4662aff58ecbdc3f60c017ea7bc94eec7990215a882370062517ed51ee9e","first_computed_at":"2026-05-18T02:01:10.453515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:10.453515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vnWq9a5ng6IfxznH+mZSky2B01XDZUUs0wdMdOZABkyVprH3h5Uu+YW3qBLxCJqbh3w10V4yNoljZK79j+/ZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:10.454070Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf8c06983c339f0d699e3b76b4447e1aff53f05ce4088d9704151dc58c0d528b","sha256:54622971a44c137e601436e9026d670e76ef3cca5fe18f9162ddd6634fd32660"],"state_sha256":"868f5ef0e18e8aa65947d3fa5931413a1a59a3af431e6235191d0cb6fcc320ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bYBfJVit8LOFTj+JEI8XdjbKritBhrn2JDUR5mxJSst/REQIlLLmKUqZeco0Nt65haaJYP85aotc4v6KMVgKDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:44:33.191823Z","bundle_sha256":"788a5e5b36ca6758c35db54c18f4d32ac7543d44fb9edef7fd4179f936d9d0a3"}}