{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:PMFZHLRBRSRHI623N3BDXUJHEJ","short_pith_number":"pith:PMFZHLRB","canonical_record":{"source":{"id":"1007.4506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-26T17:01:14Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"b9d7bc11565b6605e28ebd13a1e453dc8c9bc4695cb7ec34f3e3c3b58a131331","abstract_canon_sha256":"1abccd8e84e5c659cd573ce8cd44d647d680960769937e3b4c5a6565ea3bf175"},"schema_version":"1.0"},"canonical_sha256":"7b0b93ae218ca2747b5b6ec23bd1272241f8e2631ce4be70c0e2b3d8bfa7d871","source":{"kind":"arxiv","id":"1007.4506","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4506","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4506v1","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4506","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"PMFZHLRBRSRH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PMFZHLRBRSRHI623","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PMFZHLRB","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:PMFZHLRBRSRHI623N3BDXUJHEJ","target":"record","payload":{"canonical_record":{"source":{"id":"1007.4506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-26T17:01:14Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"b9d7bc11565b6605e28ebd13a1e453dc8c9bc4695cb7ec34f3e3c3b58a131331","abstract_canon_sha256":"1abccd8e84e5c659cd573ce8cd44d647d680960769937e3b4c5a6565ea3bf175"},"schema_version":"1.0"},"canonical_sha256":"7b0b93ae218ca2747b5b6ec23bd1272241f8e2631ce4be70c0e2b3d8bfa7d871","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:33.356910Z","signature_b64":"FtE9B+mzXZpG0B+//Z98jXkOPy+b1T/49pu6QaXD15d2z9DC+B9DxILQ8y/cjLFdIUASsCNdYKkfr035s5OhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b0b93ae218ca2747b5b6ec23bd1272241f8e2631ce4be70c0e2b3d8bfa7d871","last_reissued_at":"2026-05-18T04:36:33.356526Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:33.356526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.4506","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":"2026-05-18T04:36:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0bBsHIoLE3qzJoOoG+lCbzxmL3uPkH7a9/XV+MlxNoKstfVEJTZIRLw+HfWJS1zqc+6vmyg6TyJjzuH06BDwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:37:00.017287Z"},"content_sha256":"e031d409c76e0ec0350fb383003111290bd9ede63a6230f5b3671c9ad5109c14","schema_version":"1.0","event_id":"sha256:e031d409c76e0ec0350fb383003111290bd9ede63a6230f5b3671c9ad5109c14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:PMFZHLRBRSRHI623N3BDXUJHEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The recovery of General Relativity in massive gravity via the Vainshtein mechanism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"C. Deffayet, E. Babichev, R. Ziour","submitted_at":"2010-07-26T17:01:14Z","abstract_excerpt":"We study in detail static spherically symmetric solutions of non linear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of General Relativity via the Vainshtein mechanism. This result has already been presented by us in a recent letter, and we give here more detailed information on it as well as on the procedure used to obtain it. We give new analytic insights upon this problem, in particular for what concerns the question of the number of solutions at infinity. We also present a weak field limit wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4506","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":"2026-05-18T04:36:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rOMjdhTurc6KspGNT30lZvGx0n3H7lolKpSYnllpga3qL6ObvpAJ8Nf0sph8JiLSUfcV1SXo76VCi3rF+99nAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:37:00.017648Z"},"content_sha256":"d1f95e2c9e97e7ed892ad005e858b28aa1130682f0f0d6f1803676bc1d31a80d","schema_version":"1.0","event_id":"sha256:d1f95e2c9e97e7ed892ad005e858b28aa1130682f0f0d6f1803676bc1d31a80d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PMFZHLRBRSRHI623N3BDXUJHEJ/bundle.json","state_url":"https://pith.science/pith/PMFZHLRBRSRHI623N3BDXUJHEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PMFZHLRBRSRHI623N3BDXUJHEJ/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":"2026-06-04T06:37:00Z","links":{"resolver":"https://pith.science/pith/PMFZHLRBRSRHI623N3BDXUJHEJ","bundle":"https://pith.science/pith/PMFZHLRBRSRHI623N3BDXUJHEJ/bundle.json","state":"https://pith.science/pith/PMFZHLRBRSRHI623N3BDXUJHEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PMFZHLRBRSRHI623N3BDXUJHEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PMFZHLRBRSRHI623N3BDXUJHEJ","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":"1abccd8e84e5c659cd573ce8cd44d647d680960769937e3b4c5a6565ea3bf175","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-26T17:01:14Z","title_canon_sha256":"b9d7bc11565b6605e28ebd13a1e453dc8c9bc4695cb7ec34f3e3c3b58a131331"},"schema_version":"1.0","source":{"id":"1007.4506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4506","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4506v1","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4506","created_at":"2026-05-18T04:36:33Z"},{"alias_kind":"pith_short_12","alias_value":"PMFZHLRBRSRH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PMFZHLRBRSRHI623","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PMFZHLRB","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:d1f95e2c9e97e7ed892ad005e858b28aa1130682f0f0d6f1803676bc1d31a80d","target":"graph","created_at":"2026-05-18T04:36:33Z","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 study in detail static spherically symmetric solutions of non linear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of General Relativity via the Vainshtein mechanism. This result has already been presented by us in a recent letter, and we give here more detailed information on it as well as on the procedure used to obtain it. We give new analytic insights upon this problem, in particular for what concerns the question of the number of solutions at infinity. We also present a weak field limit wh","authors_text":"C. Deffayet, E. Babichev, R. Ziour","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-26T17:01:14Z","title":"The recovery of General Relativity in massive gravity via the Vainshtein mechanism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4506","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:e031d409c76e0ec0350fb383003111290bd9ede63a6230f5b3671c9ad5109c14","target":"record","created_at":"2026-05-18T04:36:33Z","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":"1abccd8e84e5c659cd573ce8cd44d647d680960769937e3b4c5a6565ea3bf175","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-26T17:01:14Z","title_canon_sha256":"b9d7bc11565b6605e28ebd13a1e453dc8c9bc4695cb7ec34f3e3c3b58a131331"},"schema_version":"1.0","source":{"id":"1007.4506","kind":"arxiv","version":1}},"canonical_sha256":"7b0b93ae218ca2747b5b6ec23bd1272241f8e2631ce4be70c0e2b3d8bfa7d871","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7b0b93ae218ca2747b5b6ec23bd1272241f8e2631ce4be70c0e2b3d8bfa7d871","first_computed_at":"2026-05-18T04:36:33.356526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:33.356526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FtE9B+mzXZpG0B+//Z98jXkOPy+b1T/49pu6QaXD15d2z9DC+B9DxILQ8y/cjLFdIUASsCNdYKkfr035s5OhAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:33.356910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e031d409c76e0ec0350fb383003111290bd9ede63a6230f5b3671c9ad5109c14","sha256:d1f95e2c9e97e7ed892ad005e858b28aa1130682f0f0d6f1803676bc1d31a80d"],"state_sha256":"da88730117978d0580c58141a16057a840e50c1db3a3c5b8e6eccbdd315d8f00"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bRi+Jq2JFhDfOeFvn2x3rQX+DdG+eGh0/z2ghy8uDm/SbdnEJwRMCxb5NpSwoRpdxPrh9Cy5XofyYN5riqJxCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:37:00.019836Z","bundle_sha256":"1c698717666098e1d754660b76f63f23e6637caf944e6e8fbeb0beb8188a41ab"}}