{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WFU7W7RYEWQO636BM7JL4BJMB7","short_pith_number":"pith:WFU7W7RY","canonical_record":{"source":{"id":"1406.7159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-27T12:07:39Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5548f1a0149a6c99df5f907bd7ab18cdc04bb8e9cde7219566e9ad0041076d9b","abstract_canon_sha256":"0d49c2ffda0ccecc174fbac3d95d2f3f49ffd9839b625726f80252b1d42d35ad"},"schema_version":"1.0"},"canonical_sha256":"b169fb7e3825a0ef6fc167d2be052c0ff39f76d8a31e92bbe55212df500e9b72","source":{"kind":"arxiv","id":"1406.7159","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7159","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7159v1","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7159","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"WFU7W7RYEWQO","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WFU7W7RYEWQO636B","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WFU7W7RY","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WFU7W7RYEWQO636BM7JL4BJMB7","target":"record","payload":{"canonical_record":{"source":{"id":"1406.7159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-27T12:07:39Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"5548f1a0149a6c99df5f907bd7ab18cdc04bb8e9cde7219566e9ad0041076d9b","abstract_canon_sha256":"0d49c2ffda0ccecc174fbac3d95d2f3f49ffd9839b625726f80252b1d42d35ad"},"schema_version":"1.0"},"canonical_sha256":"b169fb7e3825a0ef6fc167d2be052c0ff39f76d8a31e92bbe55212df500e9b72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:53.980620Z","signature_b64":"W2RdRNOCL7ry/xc8DQerygQ2/z4dYjNkqY3g2LTdrFPyRxki61jp4lE4ZWIfCRiNadfXdBmcC1U5pHpvrwn7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b169fb7e3825a0ef6fc167d2be052c0ff39f76d8a31e92bbe55212df500e9b72","last_reissued_at":"2026-05-18T02:28:53.980227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:53.980227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.7159","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":"2026-05-18T02:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sVOvA81TFJaX3Ve4KR6dxYg/0skUFjzrOPQQgGtCanTkTYjzQBKBdVLKW0S9TNUehs8j0WVH8TLm1oD0CYpxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:46:45.897491Z"},"content_sha256":"cb1c19f367a5a06d4a1270417cf6dd27442c008a0520831f8021c2d77d5dd4c7","schema_version":"1.0","event_id":"sha256:cb1c19f367a5a06d4a1270417cf6dd27442c008a0520831f8021c2d77d5dd4c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WFU7W7RYEWQO636BM7JL4BJMB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitons and a complex of differential operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Kirill Krasnov","submitted_at":"2014-06-27T12:07:39Z","abstract_excerpt":"Gravity is now understood to become simple on-shell. We sketch how it becomes simple also off-shell, when reformulated appropriately. Thus, we describe a simple Lagrangian for gravitons that makes use of a certain complex of differential operators. The Lagrangian is constructed analogously to that of Maxwell's theory, just using a different complex. The complex, and therefore also our description of gravitons, makes sense on any half-conformally flat four-dimensional manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7159","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":"2026-05-18T02:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mCiYLYP4QV6LfidYHI4iJGggprQ/yJ4cwDZ/o3+ukZqzrQMFUMjlhoZjGIRBHTsbS0dOxtO21ugZIspsNtTOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:46:45.897838Z"},"content_sha256":"49367ecf40b19c0c7084ef20df9d0d8267a509f26b3413bf758e0e7d21d844ee","schema_version":"1.0","event_id":"sha256:49367ecf40b19c0c7084ef20df9d0d8267a509f26b3413bf758e0e7d21d844ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WFU7W7RYEWQO636BM7JL4BJMB7/bundle.json","state_url":"https://pith.science/pith/WFU7W7RYEWQO636BM7JL4BJMB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WFU7W7RYEWQO636BM7JL4BJMB7/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":"2026-06-05T10:46:45Z","links":{"resolver":"https://pith.science/pith/WFU7W7RYEWQO636BM7JL4BJMB7","bundle":"https://pith.science/pith/WFU7W7RYEWQO636BM7JL4BJMB7/bundle.json","state":"https://pith.science/pith/WFU7W7RYEWQO636BM7JL4BJMB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WFU7W7RYEWQO636BM7JL4BJMB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WFU7W7RYEWQO636BM7JL4BJMB7","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":"0d49c2ffda0ccecc174fbac3d95d2f3f49ffd9839b625726f80252b1d42d35ad","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-27T12:07:39Z","title_canon_sha256":"5548f1a0149a6c99df5f907bd7ab18cdc04bb8e9cde7219566e9ad0041076d9b"},"schema_version":"1.0","source":{"id":"1406.7159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7159","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7159v1","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7159","created_at":"2026-05-18T02:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"WFU7W7RYEWQO","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WFU7W7RYEWQO636B","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WFU7W7RY","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:49367ecf40b19c0c7084ef20df9d0d8267a509f26b3413bf758e0e7d21d844ee","target":"graph","created_at":"2026-05-18T02:28:53Z","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":"Gravity is now understood to become simple on-shell. We sketch how it becomes simple also off-shell, when reformulated appropriately. Thus, we describe a simple Lagrangian for gravitons that makes use of a certain complex of differential operators. The Lagrangian is constructed analogously to that of Maxwell's theory, just using a different complex. The complex, and therefore also our description of gravitons, makes sense on any half-conformally flat four-dimensional manifold.","authors_text":"Kirill Krasnov","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-27T12:07:39Z","title":"Gravitons and a complex of differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7159","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:cb1c19f367a5a06d4a1270417cf6dd27442c008a0520831f8021c2d77d5dd4c7","target":"record","created_at":"2026-05-18T02:28:53Z","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":"0d49c2ffda0ccecc174fbac3d95d2f3f49ffd9839b625726f80252b1d42d35ad","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-27T12:07:39Z","title_canon_sha256":"5548f1a0149a6c99df5f907bd7ab18cdc04bb8e9cde7219566e9ad0041076d9b"},"schema_version":"1.0","source":{"id":"1406.7159","kind":"arxiv","version":1}},"canonical_sha256":"b169fb7e3825a0ef6fc167d2be052c0ff39f76d8a31e92bbe55212df500e9b72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b169fb7e3825a0ef6fc167d2be052c0ff39f76d8a31e92bbe55212df500e9b72","first_computed_at":"2026-05-18T02:28:53.980227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:53.980227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W2RdRNOCL7ry/xc8DQerygQ2/z4dYjNkqY3g2LTdrFPyRxki61jp4lE4ZWIfCRiNadfXdBmcC1U5pHpvrwn7Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:53.980620Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb1c19f367a5a06d4a1270417cf6dd27442c008a0520831f8021c2d77d5dd4c7","sha256:49367ecf40b19c0c7084ef20df9d0d8267a509f26b3413bf758e0e7d21d844ee"],"state_sha256":"2e49571ffc9f47afac43b456fe777fee686b826a2f93f9b4de96576a96214812"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TG/TuD9iYIB9yGwLPRAxSAKCGn4j7G0x4lOpfIlkDxtv0q73eAR8bPpXfAHVybhcUEgLwWBzxhn178IxA+D3AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:46:45.899786Z","bundle_sha256":"2cfd6c5b1c877d77667c5e1ac132e498532541d54a46d91cd2af7fa4994159ef"}}