{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RE2C3VVDXLUEQAA3NONRFBNPLS","short_pith_number":"pith:RE2C3VVD","canonical_record":{"source":{"id":"1403.6781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-26T18:14:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ab9ca6539a08f9965265127872a246296ea847f9e581aa59355d91251db58e06","abstract_canon_sha256":"313401c0d2af27bbde691a0ea884c73c0b7a76c4c5e5f16b803e07b2c5892804"},"schema_version":"1.0"},"canonical_sha256":"89342dd6a3bae848001b6b9b1285af5cb62dbc35c1b03ce980685dd1a61f0e9d","source":{"kind":"arxiv","id":"1403.6781","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6781","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6781v2","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6781","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"RE2C3VVDXLUE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RE2C3VVDXLUEQAA3","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RE2C3VVD","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RE2C3VVDXLUEQAA3NONRFBNPLS","target":"record","payload":{"canonical_record":{"source":{"id":"1403.6781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-26T18:14:36Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ab9ca6539a08f9965265127872a246296ea847f9e581aa59355d91251db58e06","abstract_canon_sha256":"313401c0d2af27bbde691a0ea884c73c0b7a76c4c5e5f16b803e07b2c5892804"},"schema_version":"1.0"},"canonical_sha256":"89342dd6a3bae848001b6b9b1285af5cb62dbc35c1b03ce980685dd1a61f0e9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:46.328443Z","signature_b64":"Xt3TQPPF/dOJCWxNFwmqfGzPy8VQ1b08dnRKxADF8hvSZbBfVcLfBcVrqr+NBBrNuA83dczuqJGXbp6sYT6NAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89342dd6a3bae848001b6b9b1285af5cb62dbc35c1b03ce980685dd1a61f0e9d","last_reissued_at":"2026-05-18T02:42:46.327988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:46.327988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.6781","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":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hrSrVQfNonqrgna/zwo9L1Dk9yFhdqWFpV7PVlGgvzsjEFSjCYi6QWwNMsfSomxHm2NsuxNJCV8BVB51Ie98CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T14:30:20.111465Z"},"content_sha256":"f183b5b7475baf8f033248b46dbae9cb5a467e59ac2e8f625769c02e8ce8bbb7","schema_version":"1.0","event_id":"sha256:f183b5b7475baf8f033248b46dbae9cb5a467e59ac2e8f625769c02e8ce8bbb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RE2C3VVDXLUEQAA3NONRFBNPLS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivative interactions for a spin-2 field at cubic order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Xian Gao","submitted_at":"2014-03-26T18:14:36Z","abstract_excerpt":"Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2 field as well as its first derivatives. Using a perturbative Arnowitt-Deser-Misner analysis, we determined the parameters such that the corresponding Hamiltonian possesses a Lagrange multiplier, which would signify there are at most 5 degrees of freedom that are propagating. The resulting derivative terms are linear combinations of terms coming from the expansi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6781","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":""},"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":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HhAnw3ku9CY4m0bwAYTBlW3au+v4rTHVeITqj/GebJPlYMSx6QBjLM30zo0OWpprLnj+wFJb/oFah5BfG7zDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T14:30:20.112266Z"},"content_sha256":"c4001786db9de01810be0d68a3a359c6cfbfb39799570a353bd094ae8b23ae5f","schema_version":"1.0","event_id":"sha256:c4001786db9de01810be0d68a3a359c6cfbfb39799570a353bd094ae8b23ae5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RE2C3VVDXLUEQAA3NONRFBNPLS/bundle.json","state_url":"https://pith.science/pith/RE2C3VVDXLUEQAA3NONRFBNPLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RE2C3VVDXLUEQAA3NONRFBNPLS/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":"2026-08-02T14:30:20Z","links":{"resolver":"https://pith.science/pith/RE2C3VVDXLUEQAA3NONRFBNPLS","bundle":"https://pith.science/pith/RE2C3VVDXLUEQAA3NONRFBNPLS/bundle.json","state":"https://pith.science/pith/RE2C3VVDXLUEQAA3NONRFBNPLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RE2C3VVDXLUEQAA3NONRFBNPLS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RE2C3VVDXLUEQAA3NONRFBNPLS","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":"313401c0d2af27bbde691a0ea884c73c0b7a76c4c5e5f16b803e07b2c5892804","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-26T18:14:36Z","title_canon_sha256":"ab9ca6539a08f9965265127872a246296ea847f9e581aa59355d91251db58e06"},"schema_version":"1.0","source":{"id":"1403.6781","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6781","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6781v2","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6781","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"RE2C3VVDXLUE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RE2C3VVDXLUEQAA3","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RE2C3VVD","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:c4001786db9de01810be0d68a3a359c6cfbfb39799570a353bd094ae8b23ae5f","target":"graph","created_at":"2026-05-18T02:42:46Z","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":"Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2 field as well as its first derivatives. Using a perturbative Arnowitt-Deser-Misner analysis, we determined the parameters such that the corresponding Hamiltonian possesses a Lagrange multiplier, which would signify there are at most 5 degrees of freedom that are propagating. The resulting derivative terms are linear combinations of terms coming from the expansi","authors_text":"Xian Gao","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-26T18:14:36Z","title":"Derivative interactions for a spin-2 field at cubic order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6781","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:f183b5b7475baf8f033248b46dbae9cb5a467e59ac2e8f625769c02e8ce8bbb7","target":"record","created_at":"2026-05-18T02:42:46Z","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":"313401c0d2af27bbde691a0ea884c73c0b7a76c4c5e5f16b803e07b2c5892804","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-26T18:14:36Z","title_canon_sha256":"ab9ca6539a08f9965265127872a246296ea847f9e581aa59355d91251db58e06"},"schema_version":"1.0","source":{"id":"1403.6781","kind":"arxiv","version":2}},"canonical_sha256":"89342dd6a3bae848001b6b9b1285af5cb62dbc35c1b03ce980685dd1a61f0e9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89342dd6a3bae848001b6b9b1285af5cb62dbc35c1b03ce980685dd1a61f0e9d","first_computed_at":"2026-05-18T02:42:46.327988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:46.327988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xt3TQPPF/dOJCWxNFwmqfGzPy8VQ1b08dnRKxADF8hvSZbBfVcLfBcVrqr+NBBrNuA83dczuqJGXbp6sYT6NAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:46.328443Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.6781","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f183b5b7475baf8f033248b46dbae9cb5a467e59ac2e8f625769c02e8ce8bbb7","sha256:c4001786db9de01810be0d68a3a359c6cfbfb39799570a353bd094ae8b23ae5f"],"state_sha256":"79d6033a696e95096b66753797679819b11e1a972d4399c90034ee459e2e7c0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dxl5koxvUBGmWDvm2jFt5jxumnQMva3ddIYmU0R+ICMEcik0Gz+Uve60zlQcCPEHC2elNLK1hJThSRUoO0+sBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T14:30:20.118048Z","bundle_sha256":"a199611f707ce4005793ccd6bea08a699019c2d3c27b576eaa6eab37e08a25c3"}}