{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:W4MEXC2P72KBWCGA2GD6JTXUYO","short_pith_number":"pith:W4MEXC2P","canonical_record":{"source":{"id":"1307.7169","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-26T21:11:14Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"97c40044ec30c572847fd48911636a9a8673af0dac23a437838b74f880603d7a","abstract_canon_sha256":"99d60027616c1dfa132e3405aafdb179d30ec572a23dfbafd49f08790a7913d9"},"schema_version":"1.0"},"canonical_sha256":"b7184b8b4ffe941b08c0d187e4cef4c3b6a547419a68b31b23319a61838758b9","source":{"kind":"arxiv","id":"1307.7169","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7169","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7169v2","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7169","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"pith_short_12","alias_value":"W4MEXC2P72KB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W4MEXC2P72KBWCGA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W4MEXC2P","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:W4MEXC2P72KBWCGA2GD6JTXUYO","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7169","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-26T21:11:14Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"97c40044ec30c572847fd48911636a9a8673af0dac23a437838b74f880603d7a","abstract_canon_sha256":"99d60027616c1dfa132e3405aafdb179d30ec572a23dfbafd49f08790a7913d9"},"schema_version":"1.0"},"canonical_sha256":"b7184b8b4ffe941b08c0d187e4cef4c3b6a547419a68b31b23319a61838758b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:23.033943Z","signature_b64":"MtycFc2bp4hgjjNjTLQ4gVNcurAMz3QsFf0ixOhqulG/CeBz8HL2mHMPTohKXt2jA9khEEbW0xgSeBlyK+QzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7184b8b4ffe941b08c0d187e4cef4c3b6a547419a68b31b23319a61838758b9","last_reissued_at":"2026-05-18T03:07:23.033389Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:23.033389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7169","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":"2026-05-18T03:07:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rGkyAtKJJSHnlgbZobD4bWPLVnv0COdT35SGN8rb1nr7OsIkrEM35RErmwtSsG4yXJLO+r5h1hlalnUEGrl6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:10:23.458204Z"},"content_sha256":"ce09f938019559f562eaf16dbd72d822057c358f058e068e289608949c697a19","schema_version":"1.0","event_id":"sha256:ce09f938019559f562eaf16dbd72d822057c358f058e068e289608949c697a19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:W4MEXC2P72KBWCGA2GD6JTXUYO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Corrections in Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Claudia de Rham, Lavinia Heisenberg, Raquel H. Ribeiro","submitted_at":"2013-07-26T21:11:14Z","abstract_excerpt":"We compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of the massive gravity potential at one-loop. When considering gravitons running in the loops, we show how the structure of the potential gets destabilized at the quantum level, but in a way which would never involve a ghost with a mass smaller than the Planck scale. This is done by explicitly computing the one-loop effective action and supplementing it with t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7169","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":"2026-05-18T03:07:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O8ublhV7ALQh+wcurImLqfjNNX2LOSUfhyI/vg5tXil3LwwMJTrw2Pn02OzFTdVPyo5US752jbf3BaZRBrtXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:10:23.458559Z"},"content_sha256":"45d0a306b99983771d5fd7a4020124963eeac15ff9a6d73c43057ac3d35af1ee","schema_version":"1.0","event_id":"sha256:45d0a306b99983771d5fd7a4020124963eeac15ff9a6d73c43057ac3d35af1ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4MEXC2P72KBWCGA2GD6JTXUYO/bundle.json","state_url":"https://pith.science/pith/W4MEXC2P72KBWCGA2GD6JTXUYO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4MEXC2P72KBWCGA2GD6JTXUYO/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":"2026-06-27T18:10:23Z","links":{"resolver":"https://pith.science/pith/W4MEXC2P72KBWCGA2GD6JTXUYO","bundle":"https://pith.science/pith/W4MEXC2P72KBWCGA2GD6JTXUYO/bundle.json","state":"https://pith.science/pith/W4MEXC2P72KBWCGA2GD6JTXUYO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4MEXC2P72KBWCGA2GD6JTXUYO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W4MEXC2P72KBWCGA2GD6JTXUYO","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":"99d60027616c1dfa132e3405aafdb179d30ec572a23dfbafd49f08790a7913d9","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-26T21:11:14Z","title_canon_sha256":"97c40044ec30c572847fd48911636a9a8673af0dac23a437838b74f880603d7a"},"schema_version":"1.0","source":{"id":"1307.7169","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7169","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7169v2","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7169","created_at":"2026-05-18T03:07:23Z"},{"alias_kind":"pith_short_12","alias_value":"W4MEXC2P72KB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W4MEXC2P72KBWCGA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W4MEXC2P","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:45d0a306b99983771d5fd7a4020124963eeac15ff9a6d73c43057ac3d35af1ee","target":"graph","created_at":"2026-05-18T03:07:23Z","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 compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of the massive gravity potential at one-loop. When considering gravitons running in the loops, we show how the structure of the potential gets destabilized at the quantum level, but in a way which would never involve a ghost with a mass smaller than the Planck scale. This is done by explicitly computing the one-loop effective action and supplementing it with t","authors_text":"Claudia de Rham, Lavinia Heisenberg, Raquel H. Ribeiro","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-26T21:11:14Z","title":"Quantum Corrections in Massive Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7169","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:ce09f938019559f562eaf16dbd72d822057c358f058e068e289608949c697a19","target":"record","created_at":"2026-05-18T03:07:23Z","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":"99d60027616c1dfa132e3405aafdb179d30ec572a23dfbafd49f08790a7913d9","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-07-26T21:11:14Z","title_canon_sha256":"97c40044ec30c572847fd48911636a9a8673af0dac23a437838b74f880603d7a"},"schema_version":"1.0","source":{"id":"1307.7169","kind":"arxiv","version":2}},"canonical_sha256":"b7184b8b4ffe941b08c0d187e4cef4c3b6a547419a68b31b23319a61838758b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7184b8b4ffe941b08c0d187e4cef4c3b6a547419a68b31b23319a61838758b9","first_computed_at":"2026-05-18T03:07:23.033389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:23.033389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MtycFc2bp4hgjjNjTLQ4gVNcurAMz3QsFf0ixOhqulG/CeBz8HL2mHMPTohKXt2jA9khEEbW0xgSeBlyK+QzDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:23.033943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7169","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce09f938019559f562eaf16dbd72d822057c358f058e068e289608949c697a19","sha256:45d0a306b99983771d5fd7a4020124963eeac15ff9a6d73c43057ac3d35af1ee"],"state_sha256":"51d1dd17797c0ac5182b7cc0df158ff23e1862d45224ab4a842b3a9409081c16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hJIw2ZNBE996T72hVptFhdy70rtLq0o5ISRPkjJxTNvyTeZmfbFmNq2O0A3UT4P3ZxDL8xvj5Ko410kJMkMzBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:10:23.461038Z","bundle_sha256":"6eab8ff1479b94a7c4bf54c61098b203bedeecb4c448f9b952e22411bb2929f1"}}