{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:225ISSEN6XCWLIHHPAJ6UIHPBQ","short_pith_number":"pith:225ISSEN","canonical_record":{"source":{"id":"1105.3735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-18T20:02:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c036ca7c8c6762e54c4701e5afe011d77c832229e276a11ad6de5625dd629212","abstract_canon_sha256":"43c0a6a020f9453944981a37d9e3c1c45128eb38e07cb8d1448cb3e058d6f0e0"},"schema_version":"1.0"},"canonical_sha256":"d6ba89488df5c565a0e77813ea20ef0c281190fd91fd9e248786fea3638a90e3","source":{"kind":"arxiv","id":"1105.3735","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3735","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3735v2","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3735","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"pith_short_12","alias_value":"225ISSEN6XCW","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"225ISSEN6XCWLIHH","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"225ISSEN","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:225ISSEN6XCWLIHHPAJ6UIHPBQ","target":"record","payload":{"canonical_record":{"source":{"id":"1105.3735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-18T20:02:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c036ca7c8c6762e54c4701e5afe011d77c832229e276a11ad6de5625dd629212","abstract_canon_sha256":"43c0a6a020f9453944981a37d9e3c1c45128eb38e07cb8d1448cb3e058d6f0e0"},"schema_version":"1.0"},"canonical_sha256":"d6ba89488df5c565a0e77813ea20ef0c281190fd91fd9e248786fea3638a90e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:59.300592Z","signature_b64":"8aDF3JcGryLf6M6S4Auo6/E4YYEzuB8wR7i0NSQDFtg2RxrA90KIoSijr0CaYOp9XADqWvK8uHxH6gs1fRu1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6ba89488df5c565a0e77813ea20ef0c281190fd91fd9e248786fea3638a90e3","last_reissued_at":"2026-05-18T02:21:59.299862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:59.299862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.3735","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":"2026-05-18T02:21:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jmsYhXbRahEGMXXO992D9s4c4o2YWy4GybtcN6DtkpQ39RAJNseHspqqAeiCR9GzBq58K8BA4/O5IktuwaiuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:27:07.543991Z"},"content_sha256":"75c32237ffa8a027efe92899b70cca018e11ca4441b615a39771d14b47bcb2f7","schema_version":"1.0","event_id":"sha256:75c32237ffa8a027efe92899b70cca018e11ca4441b615a39771d14b47bcb2f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:225ISSEN6XCWLIHHPAJ6UIHPBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theoretical Aspects of Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Kurt Hinterbichler","submitted_at":"2011-05-18T20:02:42Z","abstract_excerpt":"Massive gravity has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the St\\\"ukelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3735","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":"2026-05-18T02:21:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdKTFFQXoQX9ZfsA2dN+Usww5goZL3bW85iMawCVinoTSOVhnWMnNaIVtLdA4zd16RkJdnQMMS6xPjLjpnZuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:27:07.544345Z"},"content_sha256":"5accfc1495c0f73eabb66b2e46fd5441c9858d09c6eb51feaf2f64eacafedff4","schema_version":"1.0","event_id":"sha256:5accfc1495c0f73eabb66b2e46fd5441c9858d09c6eb51feaf2f64eacafedff4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ/bundle.json","state_url":"https://pith.science/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ/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":"2026-06-04T20:27:07Z","links":{"resolver":"https://pith.science/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ","bundle":"https://pith.science/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ/bundle.json","state":"https://pith.science/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/225ISSEN6XCWLIHHPAJ6UIHPBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:225ISSEN6XCWLIHHPAJ6UIHPBQ","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":"43c0a6a020f9453944981a37d9e3c1c45128eb38e07cb8d1448cb3e058d6f0e0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-18T20:02:42Z","title_canon_sha256":"c036ca7c8c6762e54c4701e5afe011d77c832229e276a11ad6de5625dd629212"},"schema_version":"1.0","source":{"id":"1105.3735","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3735","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3735v2","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3735","created_at":"2026-05-18T02:21:59Z"},{"alias_kind":"pith_short_12","alias_value":"225ISSEN6XCW","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"225ISSEN6XCWLIHH","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"225ISSEN","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:5accfc1495c0f73eabb66b2e46fd5441c9858d09c6eb51feaf2f64eacafedff4","target":"graph","created_at":"2026-05-18T02:21:59Z","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 has seen a resurgence of interest due to recent progress which has overcome its traditional problems, yielding an avenue for addressing important open questions such as the cosmological constant naturalness problem. The possibility of a massive graviton has been studied on and off for the past 70 years. During this time, curiosities such as the vDVZ discontinuity and the Boulware-Deser ghost were uncovered. We re-derive these results in a pedagogical manner, and develop the St\\\"ukelberg formalism to discuss them from the modern effective field theory viewpoint. We review recent","authors_text":"Kurt Hinterbichler","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-18T20:02:42Z","title":"Theoretical Aspects of Massive Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3735","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":"sha256:75c32237ffa8a027efe92899b70cca018e11ca4441b615a39771d14b47bcb2f7","target":"record","created_at":"2026-05-18T02:21:59Z","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":"43c0a6a020f9453944981a37d9e3c1c45128eb38e07cb8d1448cb3e058d6f0e0","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-18T20:02:42Z","title_canon_sha256":"c036ca7c8c6762e54c4701e5afe011d77c832229e276a11ad6de5625dd629212"},"schema_version":"1.0","source":{"id":"1105.3735","kind":"arxiv","version":2}},"canonical_sha256":"d6ba89488df5c565a0e77813ea20ef0c281190fd91fd9e248786fea3638a90e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6ba89488df5c565a0e77813ea20ef0c281190fd91fd9e248786fea3638a90e3","first_computed_at":"2026-05-18T02:21:59.299862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:59.299862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8aDF3JcGryLf6M6S4Auo6/E4YYEzuB8wR7i0NSQDFtg2RxrA90KIoSijr0CaYOp9XADqWvK8uHxH6gs1fRu1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:59.300592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3735","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75c32237ffa8a027efe92899b70cca018e11ca4441b615a39771d14b47bcb2f7","sha256:5accfc1495c0f73eabb66b2e46fd5441c9858d09c6eb51feaf2f64eacafedff4"],"state_sha256":"2812b232a682cabd6ace1389410b8f3023377232815a483d0b78133601e6a635"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ldhFk2OVv9Y4RZD7Vlg9Y23y2C1YlU+mj8akoznTJnL3nXCVeApuxEHUv00MOLsGsAvbgyGA3OuYY0KMUZVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:27:07.546366Z","bundle_sha256":"2b91ac4f4115f5bcf793d2a2890a46abf4bc8668bdba44af58ec4595652eedde"}}