{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:TQMVF4TF5FQKU2JD2ACUTBJU3C","short_pith_number":"pith:TQMVF4TF","canonical_record":{"source":{"id":"1203.5283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-23T16:31:06Z","cross_cats_sorted":[],"title_canon_sha256":"4fe56eb7ef710047c5f03e392e3009afbcc4444067146b750655cdd572899013","abstract_canon_sha256":"f15609d9eed1c83a8724a16231a3b7a368c49b6d153abd146f3288a22c04a846"},"schema_version":"1.0"},"canonical_sha256":"9c1952f265e960aa6923d005498534d896a32e71900516470fd06e8ae475b70d","source":{"kind":"arxiv","id":"1203.5283","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5283","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5283v2","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5283","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"TQMVF4TF5FQK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TQMVF4TF5FQKU2JD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TQMVF4TF","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:TQMVF4TF5FQKU2JD2ACUTBJU3C","target":"record","payload":{"canonical_record":{"source":{"id":"1203.5283","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-23T16:31:06Z","cross_cats_sorted":[],"title_canon_sha256":"4fe56eb7ef710047c5f03e392e3009afbcc4444067146b750655cdd572899013","abstract_canon_sha256":"f15609d9eed1c83a8724a16231a3b7a368c49b6d153abd146f3288a22c04a846"},"schema_version":"1.0"},"canonical_sha256":"9c1952f265e960aa6923d005498534d896a32e71900516470fd06e8ae475b70d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:03.916694Z","signature_b64":"jiqSk+4hoBgnVG3358BlupEdQwoUXdQl36tj9WPwiROB7eZisNEMSzNTMwajs8T9Pm2rzza5xXjo3aybKVr5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c1952f265e960aa6923d005498534d896a32e71900516470fd06e8ae475b70d","last_reissued_at":"2026-05-18T01:58:03.916084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:03.916084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.5283","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":"2026-05-18T01:58:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VNvtWl/f6/gr/yJMISrBmusv6CyJCc/Q2q1Ru/c5M1mhkOz7YB4Y2pLX/m2C1rYb77+IJ2gZvrhqPemxMMnzDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:16:36.075412Z"},"content_sha256":"6fc13c4de61feac6186a60e8497032ee8baa442237448b95e6b72ebc5f3a5d8e","schema_version":"1.0","event_id":"sha256:6fc13c4de61feac6186a60e8497032ee8baa442237448b95e6b72ebc5f3a5d8e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:TQMVF4TF5FQKU2JD2ACUTBJU3C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Angnis Schmidt-May, Mikael von Strauss, S. F. Hassan","submitted_at":"2012-03-23T16:31:06Z","abstract_excerpt":"We address some recent concerns about the absence of the Boulware-Deser ghost in the Stuckelberg formulation of nonlinear massive gravity. First we provide general arguments for why any ghost analysis in the Stuckelberg formulation has to agree with existing consistency proofs that have been carried out without using Stuckelberg fields. We then demonstrate the absence of the ghost at the completely nonlinear level in the Stuckelberg formulation of the minimal massive gravity action. The constraint that removes the ghost field and the associated secondary constraint that eliminates its conjugat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5283","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":"2026-05-18T01:58:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+T6U96TlANkwHIRZYwHWxR1Loq/U+NAJo37mj0Y2egM1CQM/A3s1v/lwKnw4SrPJrhEwL7DOnsvYB8/AG79qDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:16:36.076016Z"},"content_sha256":"794d81f996f14484815f09663281ba68e146ce9973c7f8a70744f0b515e9168c","schema_version":"1.0","event_id":"sha256:794d81f996f14484815f09663281ba68e146ce9973c7f8a70744f0b515e9168c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C/bundle.json","state_url":"https://pith.science/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C/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":"2026-06-01T02:16:36Z","links":{"resolver":"https://pith.science/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C","bundle":"https://pith.science/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C/bundle.json","state":"https://pith.science/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQMVF4TF5FQKU2JD2ACUTBJU3C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TQMVF4TF5FQKU2JD2ACUTBJU3C","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":"f15609d9eed1c83a8724a16231a3b7a368c49b6d153abd146f3288a22c04a846","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-23T16:31:06Z","title_canon_sha256":"4fe56eb7ef710047c5f03e392e3009afbcc4444067146b750655cdd572899013"},"schema_version":"1.0","source":{"id":"1203.5283","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.5283","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"1203.5283v2","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5283","created_at":"2026-05-18T01:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"TQMVF4TF5FQK","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TQMVF4TF5FQKU2JD","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TQMVF4TF","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:794d81f996f14484815f09663281ba68e146ce9973c7f8a70744f0b515e9168c","target":"graph","created_at":"2026-05-18T01:58:03Z","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 address some recent concerns about the absence of the Boulware-Deser ghost in the Stuckelberg formulation of nonlinear massive gravity. First we provide general arguments for why any ghost analysis in the Stuckelberg formulation has to agree with existing consistency proofs that have been carried out without using Stuckelberg fields. We then demonstrate the absence of the ghost at the completely nonlinear level in the Stuckelberg formulation of the minimal massive gravity action. The constraint that removes the ghost field and the associated secondary constraint that eliminates its conjugat","authors_text":"Angnis Schmidt-May, Mikael von Strauss, S. F. Hassan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-23T16:31:06Z","title":"Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5283","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":"sha256:6fc13c4de61feac6186a60e8497032ee8baa442237448b95e6b72ebc5f3a5d8e","target":"record","created_at":"2026-05-18T01:58:03Z","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":"f15609d9eed1c83a8724a16231a3b7a368c49b6d153abd146f3288a22c04a846","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-23T16:31:06Z","title_canon_sha256":"4fe56eb7ef710047c5f03e392e3009afbcc4444067146b750655cdd572899013"},"schema_version":"1.0","source":{"id":"1203.5283","kind":"arxiv","version":2}},"canonical_sha256":"9c1952f265e960aa6923d005498534d896a32e71900516470fd06e8ae475b70d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c1952f265e960aa6923d005498534d896a32e71900516470fd06e8ae475b70d","first_computed_at":"2026-05-18T01:58:03.916084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:03.916084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jiqSk+4hoBgnVG3358BlupEdQwoUXdQl36tj9WPwiROB7eZisNEMSzNTMwajs8T9Pm2rzza5xXjo3aybKVr5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:03.916694Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.5283","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fc13c4de61feac6186a60e8497032ee8baa442237448b95e6b72ebc5f3a5d8e","sha256:794d81f996f14484815f09663281ba68e146ce9973c7f8a70744f0b515e9168c"],"state_sha256":"415665c967389c548318a1c119d6b5cfc65bbb2109e4c600bf1b527d37756aba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lv5OhlydcBi4FvCV1BxaOcsONAFDHET6X8I3hOaWBIeOD2Ey3ngsiJ1kpM/6jjNjra7qTcUaUpMOHY1/swQ4DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:16:36.079662Z","bundle_sha256":"4005728c640cc30b3687031ccce979d61992189894a2691daa9a55a3a98905b8"}}