{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GZLU6T3LR34XQ6UD2VY6RAK43B","short_pith_number":"pith:GZLU6T3L","canonical_record":{"source":{"id":"1306.5457","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-23T18:50:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5b0310e76777a3aeae5fa7c55ce2e9930bb8b81a98a4fd1ab2390ef786bd962b","abstract_canon_sha256":"c919644d16201f60fcbbec607017e50211dc69ca76656bd464558ca615070af9"},"schema_version":"1.0"},"canonical_sha256":"36574f4f6b8ef9787a83d571e8815cd84175cc8a326c457d66469fc47335f596","source":{"kind":"arxiv","id":"1306.5457","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5457","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5457v3","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5457","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"GZLU6T3LR34X","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"GZLU6T3LR34XQ6UD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"GZLU6T3L","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GZLU6T3LR34XQ6UD2VY6RAK43B","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5457","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-23T18:50:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5b0310e76777a3aeae5fa7c55ce2e9930bb8b81a98a4fd1ab2390ef786bd962b","abstract_canon_sha256":"c919644d16201f60fcbbec607017e50211dc69ca76656bd464558ca615070af9"},"schema_version":"1.0"},"canonical_sha256":"36574f4f6b8ef9787a83d571e8815cd84175cc8a326c457d66469fc47335f596","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:08.994198Z","signature_b64":"l2wlCnfUVbGXbxNQEKwjaoNhgZrrXUyKELCv7cHVrWLCUFqyh/6pBSrH4z7M7otgodYESw+xb0xY54RHmvNBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36574f4f6b8ef9787a83d571e8815cd84175cc8a326c457d66469fc47335f596","last_reissued_at":"2026-05-18T01:49:08.993605Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:08.993605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5457","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FouNkjE/EtXG1DjcYf35JCCEQloqM+umsCHYWaaVyThkjzxiAU1VGInNlB+y4yj51cwRkzYlQOdgRSPHDHosBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:20:34.210031Z"},"content_sha256":"03aa63bc7ae554ef783c8bc92cf5d4eb41a58718c609d458843c6ac22f95eaaf","schema_version":"1.0","event_id":"sha256:03aa63bc7ae554ef783c8bc92cf5d4eb41a58718c609d458843c6ac22f95eaaf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GZLU6T3LR34XQ6UD2VY6RAK43B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Massive Gravity Acausality Redux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"A.Waldron, K. Izumi, S. Deser, Y.C. Ong","submitted_at":"2013-06-23T18:50:55Z","abstract_excerpt":"Massive gravity (mGR) is a 5(=2s+1) degree of freedom, finite range extension of GR. However, amongst other problems, it is plagued by superluminal propagation, first uncovered via a second order shock analysis. First order mGR shock structures have also been studied, but the existence of superluminal propagation in that context was left open. We present here a concordance of these methods, by an explicit (first order) characteristic matrix computation, which confirms mGR's superluminal propagation as well as acausality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5457","kind":"arxiv","version":3},"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":"2026-05-18T01:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2YK9QmFBXBslMcs1DD0epT3Nd8tdGK+4RN84+8QtgiISMMltZfCl9g+US2KICZnaHo1dIlwmETxEeHdBUZz0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:20:34.210690Z"},"content_sha256":"82de85d25d3e835c73677832d0f500c5b6050b91592b7d2613bf760904522074","schema_version":"1.0","event_id":"sha256:82de85d25d3e835c73677832d0f500c5b6050b91592b7d2613bf760904522074"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZLU6T3LR34XQ6UD2VY6RAK43B/bundle.json","state_url":"https://pith.science/pith/GZLU6T3LR34XQ6UD2VY6RAK43B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZLU6T3LR34XQ6UD2VY6RAK43B/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":"2026-05-31T03:20:34Z","links":{"resolver":"https://pith.science/pith/GZLU6T3LR34XQ6UD2VY6RAK43B","bundle":"https://pith.science/pith/GZLU6T3LR34XQ6UD2VY6RAK43B/bundle.json","state":"https://pith.science/pith/GZLU6T3LR34XQ6UD2VY6RAK43B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZLU6T3LR34XQ6UD2VY6RAK43B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GZLU6T3LR34XQ6UD2VY6RAK43B","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":"c919644d16201f60fcbbec607017e50211dc69ca76656bd464558ca615070af9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-23T18:50:55Z","title_canon_sha256":"5b0310e76777a3aeae5fa7c55ce2e9930bb8b81a98a4fd1ab2390ef786bd962b"},"schema_version":"1.0","source":{"id":"1306.5457","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5457","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5457v3","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5457","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"GZLU6T3LR34X","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"GZLU6T3LR34XQ6UD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"GZLU6T3L","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:82de85d25d3e835c73677832d0f500c5b6050b91592b7d2613bf760904522074","target":"graph","created_at":"2026-05-18T01:49:08Z","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":"Massive gravity (mGR) is a 5(=2s+1) degree of freedom, finite range extension of GR. However, amongst other problems, it is plagued by superluminal propagation, first uncovered via a second order shock analysis. First order mGR shock structures have also been studied, but the existence of superluminal propagation in that context was left open. We present here a concordance of these methods, by an explicit (first order) characteristic matrix computation, which confirms mGR's superluminal propagation as well as acausality.","authors_text":"A.Waldron, K. Izumi, S. Deser, Y.C. Ong","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-23T18:50:55Z","title":"Massive Gravity Acausality Redux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5457","kind":"arxiv","version":3},"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":"sha256:03aa63bc7ae554ef783c8bc92cf5d4eb41a58718c609d458843c6ac22f95eaaf","target":"record","created_at":"2026-05-18T01:49:08Z","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":"c919644d16201f60fcbbec607017e50211dc69ca76656bd464558ca615070af9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-23T18:50:55Z","title_canon_sha256":"5b0310e76777a3aeae5fa7c55ce2e9930bb8b81a98a4fd1ab2390ef786bd962b"},"schema_version":"1.0","source":{"id":"1306.5457","kind":"arxiv","version":3}},"canonical_sha256":"36574f4f6b8ef9787a83d571e8815cd84175cc8a326c457d66469fc47335f596","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36574f4f6b8ef9787a83d571e8815cd84175cc8a326c457d66469fc47335f596","first_computed_at":"2026-05-18T01:49:08.993605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:08.993605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l2wlCnfUVbGXbxNQEKwjaoNhgZrrXUyKELCv7cHVrWLCUFqyh/6pBSrH4z7M7otgodYESw+xb0xY54RHmvNBBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:08.994198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5457","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03aa63bc7ae554ef783c8bc92cf5d4eb41a58718c609d458843c6ac22f95eaaf","sha256:82de85d25d3e835c73677832d0f500c5b6050b91592b7d2613bf760904522074"],"state_sha256":"7b79aa890b627bb40faa71813bb3ba3b5526adab77fbd9493ac3b5f98f7f4fe8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Atw0fG8LFZ2tnUj+WfL0pPHBwJnJDU/zy6VM24JI/DSkgGTG+XVGLmQSCSgXd4MrLL/hyiCjHl4cCOPYcyeFCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:20:34.213868Z","bundle_sha256":"f5dc5c074fb852e519cb9c02df47448bc04746c6d48e83c8c7a8b828bde65a1f"}}