{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:ZNIMYKFSLZA7SF6U3R3T7N6FBE","short_pith_number":"pith:ZNIMYKFS","canonical_record":{"source":{"id":"gr-qc/9612030","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-12-12T13:58:55Z","cross_cats_sorted":[],"title_canon_sha256":"e1ef1d91d46f6d9dc0aa07069297c76ef1f504b269e2ab0a7ab0bc9052668023","abstract_canon_sha256":"3482b42b81978a8193b8ae8f5d43f9c9628221dc13c0d7c4cac20eb9a8fe047c"},"schema_version":"1.0"},"canonical_sha256":"cb50cc28b25e41f917d4dc773fb7c5090cf40dbfed3735b7d6eabba02dfa5548","source":{"kind":"arxiv","id":"gr-qc/9612030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9612030","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9612030v1","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9612030","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZNIMYKFSLZA7","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"pith_short_16","alias_value":"ZNIMYKFSLZA7SF6U","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"pith_short_8","alias_value":"ZNIMYKFS","created_at":"2026-07-04T17:25:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:ZNIMYKFSLZA7SF6U3R3T7N6FBE","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9612030","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-12-12T13:58:55Z","cross_cats_sorted":[],"title_canon_sha256":"e1ef1d91d46f6d9dc0aa07069297c76ef1f504b269e2ab0a7ab0bc9052668023","abstract_canon_sha256":"3482b42b81978a8193b8ae8f5d43f9c9628221dc13c0d7c4cac20eb9a8fe047c"},"schema_version":"1.0"},"canonical_sha256":"cb50cc28b25e41f917d4dc773fb7c5090cf40dbfed3735b7d6eabba02dfa5548","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:39.150400Z","signature_b64":"/gU9CE/8ur4zf1T1gFk5uMZQB7nRvZyToTZzbOuxPdXJSgtCA0OcLi+k0DDpYXpFyQPaoN5oD7COwEbUCAYRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb50cc28b25e41f917d4dc773fb7c5090cf40dbfed3735b7d6eabba02dfa5548","last_reissued_at":"2026-07-04T17:25:39.150018Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:39.150018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9612030","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":"2026-07-04T17:25:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LjYJfhQSnYfEAvOH0Mhh/5zlcDFBy+2t77P4eQeLk5UJ0GS8ZZKpwARgaYtKH4UILoKAIe3u3ko3ATZ9mBR2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:47:09.989961Z"},"content_sha256":"3d29c249d2efc43b572820bcd1ea0566c02d4577706a573efbd4ade8f1763536","schema_version":"1.0","event_id":"sha256:3d29c249d2efc43b572820bcd1ea0566c02d4577706a573efbd4ade8f1763536"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:ZNIMYKFSLZA7SF6U3R3T7N6FBE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real and complex connections for canonical gravity","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Giorgio Immirzi","submitted_at":"1996-12-12T13:58:55Z","abstract_excerpt":"Both real and complex connections have been used for canonical gravity: the complex connection has SL(2,C) as gauge group, while the real connection has SU(2) as gauge group. We show that there is an arbitrary parameter $\\beta$ which enters in the definition of the real connection, in the Poisson brackets, and therefore in the scale of the discrete spectra one finds for areas and volumes in the corresponding quantum theory. A value for $\\beta$ could be could be singled out in the quantum theory by the Hamiltonian constraint, or by the rotation to the complex Ashtekar connection."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9612030","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9612030/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:25:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r4tvnz2/gHi0FTTDq8tMG7kgu5IbEToNZKnjIExcVM8B3pt7IZNfFfNRVhxH/Lq1Unkddr7JKGm+YsZHmkjcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:47:09.990745Z"},"content_sha256":"aea7e2fb6061bc5ede81c51be2e6fba96ab779a714accac9bac1c83f6ad86332","schema_version":"1.0","event_id":"sha256:aea7e2fb6061bc5ede81c51be2e6fba96ab779a714accac9bac1c83f6ad86332"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE/bundle.json","state_url":"https://pith.science/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE/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":"2026-08-04T01:47:09Z","links":{"resolver":"https://pith.science/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE","bundle":"https://pith.science/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE/bundle.json","state":"https://pith.science/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZNIMYKFSLZA7SF6U3R3T7N6FBE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:ZNIMYKFSLZA7SF6U3R3T7N6FBE","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":"3482b42b81978a8193b8ae8f5d43f9c9628221dc13c0d7c4cac20eb9a8fe047c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-12-12T13:58:55Z","title_canon_sha256":"e1ef1d91d46f6d9dc0aa07069297c76ef1f504b269e2ab0a7ab0bc9052668023"},"schema_version":"1.0","source":{"id":"gr-qc/9612030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9612030","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9612030v1","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9612030","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZNIMYKFSLZA7","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"pith_short_16","alias_value":"ZNIMYKFSLZA7SF6U","created_at":"2026-07-04T17:25:39Z"},{"alias_kind":"pith_short_8","alias_value":"ZNIMYKFS","created_at":"2026-07-04T17:25:39Z"}],"graph_snapshots":[{"event_id":"sha256:aea7e2fb6061bc5ede81c51be2e6fba96ab779a714accac9bac1c83f6ad86332","target":"graph","created_at":"2026-07-04T17:25:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/9612030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Both real and complex connections have been used for canonical gravity: the complex connection has SL(2,C) as gauge group, while the real connection has SU(2) as gauge group. We show that there is an arbitrary parameter $\\beta$ which enters in the definition of the real connection, in the Poisson brackets, and therefore in the scale of the discrete spectra one finds for areas and volumes in the corresponding quantum theory. A value for $\\beta$ could be could be singled out in the quantum theory by the Hamiltonian constraint, or by the rotation to the complex Ashtekar connection.","authors_text":"Giorgio Immirzi","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1996-12-12T13:58:55Z","title":"Real and complex connections for canonical gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9612030","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":"sha256:3d29c249d2efc43b572820bcd1ea0566c02d4577706a573efbd4ade8f1763536","target":"record","created_at":"2026-07-04T17:25:39Z","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":"3482b42b81978a8193b8ae8f5d43f9c9628221dc13c0d7c4cac20eb9a8fe047c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1996-12-12T13:58:55Z","title_canon_sha256":"e1ef1d91d46f6d9dc0aa07069297c76ef1f504b269e2ab0a7ab0bc9052668023"},"schema_version":"1.0","source":{"id":"gr-qc/9612030","kind":"arxiv","version":1}},"canonical_sha256":"cb50cc28b25e41f917d4dc773fb7c5090cf40dbfed3735b7d6eabba02dfa5548","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb50cc28b25e41f917d4dc773fb7c5090cf40dbfed3735b7d6eabba02dfa5548","first_computed_at":"2026-07-04T17:25:39.150018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:39.150018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/gU9CE/8ur4zf1T1gFk5uMZQB7nRvZyToTZzbOuxPdXJSgtCA0OcLi+k0DDpYXpFyQPaoN5oD7COwEbUCAYRBg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:39.150400Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9612030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d29c249d2efc43b572820bcd1ea0566c02d4577706a573efbd4ade8f1763536","sha256:aea7e2fb6061bc5ede81c51be2e6fba96ab779a714accac9bac1c83f6ad86332"],"state_sha256":"284d32fc76a91f8aadb204747f440bc8dac5b4a693f828123df4648bc819e0fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fsn7o0LWnVz6fuiTXbVoNqiQHjzvLMi+HsisU22LZ+oDkr2Mok4w+PrdcAuC4qnJfy/UZ+xCKl1Vcre3mm+ZCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:47:09.995294Z","bundle_sha256":"d9c1b0ade1b3323215ff400fa74f96dfdd9e7ae48628d70557ef785f919f377c"}}