{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:57ICMCL6L6G6MZUXYC4K5RNNHM","short_pith_number":"pith:57ICMCL6","canonical_record":{"source":{"id":"1112.2085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-09T12:37:48Z","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"title_canon_sha256":"5ae69fb32d0d542a732800a681d3a58c7d246d4f552fed969dd471dd20e211ff","abstract_canon_sha256":"e15e623361d5eaa9e490891148905364431c7346be7f1b83225cae84a19c146e"},"schema_version":"1.0"},"canonical_sha256":"efd026097e5f8de66697c0b8aec5ad3b00bfd58e4be6516a143825e71cf5d58c","source":{"kind":"arxiv","id":"1112.2085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2085","created_at":"2026-05-18T01:59:14Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2085v1","created_at":"2026-05-18T01:59:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2085","created_at":"2026-05-18T01:59:14Z"},{"alias_kind":"pith_short_12","alias_value":"57ICMCL6L6G6","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"57ICMCL6L6G6MZUX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"57ICMCL6","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:57ICMCL6L6G6MZUXYC4K5RNNHM","target":"record","payload":{"canonical_record":{"source":{"id":"1112.2085","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-09T12:37:48Z","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"title_canon_sha256":"5ae69fb32d0d542a732800a681d3a58c7d246d4f552fed969dd471dd20e211ff","abstract_canon_sha256":"e15e623361d5eaa9e490891148905364431c7346be7f1b83225cae84a19c146e"},"schema_version":"1.0"},"canonical_sha256":"efd026097e5f8de66697c0b8aec5ad3b00bfd58e4be6516a143825e71cf5d58c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:14.509164Z","signature_b64":"a66w94dtqNbQZ6NIiMo0icoUhZhSRINF+MYnKO5WXDh8hAH7gf7M9lfB4MteAUq4FlUh2aRfhzWlLZ/m3EWDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efd026097e5f8de66697c0b8aec5ad3b00bfd58e4be6516a143825e71cf5d58c","last_reissued_at":"2026-05-18T01:59:14.508362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:14.508362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.2085","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":"2026-05-18T01:59:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GEentRxkEGuujeCebWl/xJt97gSL9BJtya7cCOi4gzIaImiv1up0mp24z97yFE7tl0JX7DGEQj87c6LOyX5xCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T09:21:39.293929Z"},"content_sha256":"e8c50ac11747e07380e7f2a0137bba3e2344e938267e3902999010cbabdf5c50","schema_version":"1.0","event_id":"sha256:e8c50ac11747e07380e7f2a0137bba3e2344e938267e3902999010cbabdf5c50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:57ICMCL6L6G6MZUXYC4K5RNNHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extension of Loop Quantum Gravity to Metric Theories beyond General Relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Yongge Ma","submitted_at":"2011-12-09T12:37:48Z","abstract_excerpt":"The successful background-independent quantization of Loop Quantum Gravity relies on the key observation that classical General Relativity can be cast into the connection-dynamical formalism with the structure group of SU(2). Due to this particular formalism, Loop Quantum Gravity was generally considered as a quantization scheme that applies only to General Relativity. However, we will show that the nonperturbative quantization procedure of Loop Quantum Gravity can be extended to a rather general class of metric theories of gravity, which have received increased attention recently due to motiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2085","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":"2026-05-18T01:59:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uqeHgLiHwafRvYq+dpfuQhaS4Zal9EpUL8l3h3qUqYTl6imQhA+wodgAzuRubjpeQqwKh/RxWgK/VhcP76I2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T09:21:39.294390Z"},"content_sha256":"2467d11d342806ee58b640e91150eb44bd190dd53a46674105b1281fa47b9f86","schema_version":"1.0","event_id":"sha256:2467d11d342806ee58b640e91150eb44bd190dd53a46674105b1281fa47b9f86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57ICMCL6L6G6MZUXYC4K5RNNHM/bundle.json","state_url":"https://pith.science/pith/57ICMCL6L6G6MZUXYC4K5RNNHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57ICMCL6L6G6MZUXYC4K5RNNHM/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":"2026-08-15T09:21:39Z","links":{"resolver":"https://pith.science/pith/57ICMCL6L6G6MZUXYC4K5RNNHM","bundle":"https://pith.science/pith/57ICMCL6L6G6MZUXYC4K5RNNHM/bundle.json","state":"https://pith.science/pith/57ICMCL6L6G6MZUXYC4K5RNNHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57ICMCL6L6G6MZUXYC4K5RNNHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:57ICMCL6L6G6MZUXYC4K5RNNHM","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":"e15e623361d5eaa9e490891148905364431c7346be7f1b83225cae84a19c146e","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-09T12:37:48Z","title_canon_sha256":"5ae69fb32d0d542a732800a681d3a58c7d246d4f552fed969dd471dd20e211ff"},"schema_version":"1.0","source":{"id":"1112.2085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2085","created_at":"2026-05-18T01:59:14Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2085v1","created_at":"2026-05-18T01:59:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2085","created_at":"2026-05-18T01:59:14Z"},{"alias_kind":"pith_short_12","alias_value":"57ICMCL6L6G6","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"57ICMCL6L6G6MZUX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"57ICMCL6","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:2467d11d342806ee58b640e91150eb44bd190dd53a46674105b1281fa47b9f86","target":"graph","created_at":"2026-05-18T01:59:14Z","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":"The successful background-independent quantization of Loop Quantum Gravity relies on the key observation that classical General Relativity can be cast into the connection-dynamical formalism with the structure group of SU(2). Due to this particular formalism, Loop Quantum Gravity was generally considered as a quantization scheme that applies only to General Relativity. However, we will show that the nonperturbative quantization procedure of Loop Quantum Gravity can be extended to a rather general class of metric theories of gravity, which have received increased attention recently due to motiv","authors_text":"Yongge Ma","cross_cats":["astro-ph.HE","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-09T12:37:48Z","title":"Extension of Loop Quantum Gravity to Metric Theories beyond General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2085","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:e8c50ac11747e07380e7f2a0137bba3e2344e938267e3902999010cbabdf5c50","target":"record","created_at":"2026-05-18T01:59:14Z","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":"e15e623361d5eaa9e490891148905364431c7346be7f1b83225cae84a19c146e","cross_cats_sorted":["astro-ph.HE","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-12-09T12:37:48Z","title_canon_sha256":"5ae69fb32d0d542a732800a681d3a58c7d246d4f552fed969dd471dd20e211ff"},"schema_version":"1.0","source":{"id":"1112.2085","kind":"arxiv","version":1}},"canonical_sha256":"efd026097e5f8de66697c0b8aec5ad3b00bfd58e4be6516a143825e71cf5d58c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efd026097e5f8de66697c0b8aec5ad3b00bfd58e4be6516a143825e71cf5d58c","first_computed_at":"2026-05-18T01:59:14.508362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:14.508362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a66w94dtqNbQZ6NIiMo0icoUhZhSRINF+MYnKO5WXDh8hAH7gf7M9lfB4MteAUq4FlUh2aRfhzWlLZ/m3EWDDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:14.509164Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8c50ac11747e07380e7f2a0137bba3e2344e938267e3902999010cbabdf5c50","sha256:2467d11d342806ee58b640e91150eb44bd190dd53a46674105b1281fa47b9f86"],"state_sha256":"b22d9a46d9c2c8a40dd7b60f6d279e3a16e3a382cb9bf01a48b78da3a55bb194"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GWJSuFgwLxmg2L5flE6Sv7yULWqet974IUVstbfT2An86EnupMV6Xc8usUX9Wt0gvt5qcOQjreBgX0Se9E1SBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T09:21:39.298865Z","bundle_sha256":"ffddd5d6518cb17dd84c3f7d0b9242d6b369742512421dcb0d81accba8e7e8db"}}