{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:O42N2QSI3BHYL2TNFNOOD6QALD","short_pith_number":"pith:O42N2QSI","canonical_record":{"source":{"id":"0901.4098","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-26T20:57:18Z","cross_cats_sorted":[],"title_canon_sha256":"32df72c46a56e109d84ab7d9225974c13dd3faa6f2e9f6e0f9b6983e7f8b96e2","abstract_canon_sha256":"5c3d033c3be7f0946275414ab10870b6471d3e23b226c4f2bb08000a8cddeb8e"},"schema_version":"1.0"},"canonical_sha256":"7734dd4248d84f85ea6d2b5ce1fa0058cbb14d407cb7740c2f23da63217a70a0","source":{"kind":"arxiv","id":"0901.4098","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4098","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4098v5","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4098","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"O42N2QSI3BHY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"O42N2QSI3BHYL2TN","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"O42N2QSI","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:O42N2QSI3BHYL2TNFNOOD6QALD","target":"record","payload":{"canonical_record":{"source":{"id":"0901.4098","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-26T20:57:18Z","cross_cats_sorted":[],"title_canon_sha256":"32df72c46a56e109d84ab7d9225974c13dd3faa6f2e9f6e0f9b6983e7f8b96e2","abstract_canon_sha256":"5c3d033c3be7f0946275414ab10870b6471d3e23b226c4f2bb08000a8cddeb8e"},"schema_version":"1.0"},"canonical_sha256":"7734dd4248d84f85ea6d2b5ce1fa0058cbb14d407cb7740c2f23da63217a70a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:33.081354Z","signature_b64":"6XU9NlkzJ4ddtLEDz9wxEvO1fqi85GBTeY0iNricTZvriQ4AHFbO59s3uT2ttYb6VVeB5kQXkwsCNfMj4YXaDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7734dd4248d84f85ea6d2b5ce1fa0058cbb14d407cb7740c2f23da63217a70a0","last_reissued_at":"2026-05-18T03:06:33.080578Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:33.080578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.4098","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LvswFZ1zN6qGr51KGVL8TwEr7gtwTMDJ9tFXDCMSe9h8PgEjfd/OLNMQweLKkGYTk2sT+tyEwB1qa+JbbTKoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:01:44.440661Z"},"content_sha256":"afbad050fe7d4f75fbd0f1002667871fc9b0563b04a9b76a0dd55db18ed070c7","schema_version":"1.0","event_id":"sha256:afbad050fe7d4f75fbd0f1002667871fc9b0563b04a9b76a0dd55db18ed070c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:O42N2QSI3BHYL2TNFNOOD6QALD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reformulation of the Hamiltonian constraint of four dimensional gravity for arbitrary values of the Immirzi parameter via the affine group formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Eyo Eyo Ita III","submitted_at":"2009-01-26T20:57:18Z","abstract_excerpt":"One of the virtues of the Ashtekar variables is the simplification of the initial value constraints for gravity. In the case of self-dual variables this entails a complexification of the phase space which comes at the expense of having to implement reality conditions in the Lorentzian signature case. A reformulation of the theory in terms of real variables eliminates this difficulty, albeit at the expense of having to deal with a more complicated Hamiltonian constraint. The set of available gravitational theories classically equivalent to Einstein's is parametrized by a parameter $\\beta$, know"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4098","kind":"arxiv","version":5},"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":"2026-05-18T03:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fb5FX77nEPFkJbfiQohFfg0RX91XKMZtpJ4LucEwKdEG3m473vcbdCojpoJri8EwIbPEkte5Dj015Fuo5s6rAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:01:44.441298Z"},"content_sha256":"bf200e153b099fa6e7ebd1c9de3b27b263814668ed8f6c9b21cb7f1397a57de0","schema_version":"1.0","event_id":"sha256:bf200e153b099fa6e7ebd1c9de3b27b263814668ed8f6c9b21cb7f1397a57de0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O42N2QSI3BHYL2TNFNOOD6QALD/bundle.json","state_url":"https://pith.science/pith/O42N2QSI3BHYL2TNFNOOD6QALD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O42N2QSI3BHYL2TNFNOOD6QALD/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":"2026-06-11T02:01:44Z","links":{"resolver":"https://pith.science/pith/O42N2QSI3BHYL2TNFNOOD6QALD","bundle":"https://pith.science/pith/O42N2QSI3BHYL2TNFNOOD6QALD/bundle.json","state":"https://pith.science/pith/O42N2QSI3BHYL2TNFNOOD6QALD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O42N2QSI3BHYL2TNFNOOD6QALD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:O42N2QSI3BHYL2TNFNOOD6QALD","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":"5c3d033c3be7f0946275414ab10870b6471d3e23b226c4f2bb08000a8cddeb8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-26T20:57:18Z","title_canon_sha256":"32df72c46a56e109d84ab7d9225974c13dd3faa6f2e9f6e0f9b6983e7f8b96e2"},"schema_version":"1.0","source":{"id":"0901.4098","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4098","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4098v5","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4098","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"O42N2QSI3BHY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"O42N2QSI3BHYL2TN","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"O42N2QSI","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:bf200e153b099fa6e7ebd1c9de3b27b263814668ed8f6c9b21cb7f1397a57de0","target":"graph","created_at":"2026-05-18T03:06:33Z","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":"One of the virtues of the Ashtekar variables is the simplification of the initial value constraints for gravity. In the case of self-dual variables this entails a complexification of the phase space which comes at the expense of having to implement reality conditions in the Lorentzian signature case. A reformulation of the theory in terms of real variables eliminates this difficulty, albeit at the expense of having to deal with a more complicated Hamiltonian constraint. The set of available gravitational theories classically equivalent to Einstein's is parametrized by a parameter $\\beta$, know","authors_text":"Eyo Eyo Ita III","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-26T20:57:18Z","title":"Reformulation of the Hamiltonian constraint of four dimensional gravity for arbitrary values of the Immirzi parameter via the affine group formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4098","kind":"arxiv","version":5},"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:afbad050fe7d4f75fbd0f1002667871fc9b0563b04a9b76a0dd55db18ed070c7","target":"record","created_at":"2026-05-18T03:06:33Z","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":"5c3d033c3be7f0946275414ab10870b6471d3e23b226c4f2bb08000a8cddeb8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-26T20:57:18Z","title_canon_sha256":"32df72c46a56e109d84ab7d9225974c13dd3faa6f2e9f6e0f9b6983e7f8b96e2"},"schema_version":"1.0","source":{"id":"0901.4098","kind":"arxiv","version":5}},"canonical_sha256":"7734dd4248d84f85ea6d2b5ce1fa0058cbb14d407cb7740c2f23da63217a70a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7734dd4248d84f85ea6d2b5ce1fa0058cbb14d407cb7740c2f23da63217a70a0","first_computed_at":"2026-05-18T03:06:33.080578Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:33.080578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6XU9NlkzJ4ddtLEDz9wxEvO1fqi85GBTeY0iNricTZvriQ4AHFbO59s3uT2ttYb6VVeB5kQXkwsCNfMj4YXaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:33.081354Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.4098","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afbad050fe7d4f75fbd0f1002667871fc9b0563b04a9b76a0dd55db18ed070c7","sha256:bf200e153b099fa6e7ebd1c9de3b27b263814668ed8f6c9b21cb7f1397a57de0"],"state_sha256":"d72343784583a05942f2ea50ee06ac347c4ef6bc02bec9576cb16f6ab3e752a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NVcDr4kR4WmSTiGLACSrDsuKwkLt41XJelFUqLSpZ5SJf0RvaW3Famq9SM1evYdo3DgSHCIDNcXFidniuseiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:01:44.445481Z","bundle_sha256":"0a91b5801b8dc9aea998d4456b928525fd784407e4856d92d9d1659298c17291"}}