{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:EZOQCCU5HTB5S5NS4326UVMB6A","short_pith_number":"pith:EZOQCCU5","canonical_record":{"source":{"id":"gr-qc/0207111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2002-07-29T15:32:20Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"2ffc62abbf15e46c557ac56cd22b3eed763d3aef66025d7cc8cbb344d51bca61","abstract_canon_sha256":"e6bc5ec464982675249fa351a48967a2332a473b48d92f19ef705820eec64423"},"schema_version":"1.0"},"canonical_sha256":"265d010a9d3cc3d975b2e6f5ea5581f0388cd25d04fceb549a9e34553c784718","source":{"kind":"arxiv","id":"gr-qc/0207111","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0207111","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0207111v2","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0207111","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"EZOQCCU5HTB5","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"EZOQCCU5HTB5S5NS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"EZOQCCU5","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:EZOQCCU5HTB5S5NS4326UVMB6A","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0207111","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2002-07-29T15:32:20Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"2ffc62abbf15e46c557ac56cd22b3eed763d3aef66025d7cc8cbb344d51bca61","abstract_canon_sha256":"e6bc5ec464982675249fa351a48967a2332a473b48d92f19ef705820eec64423"},"schema_version":"1.0"},"canonical_sha256":"265d010a9d3cc3d975b2e6f5ea5581f0388cd25d04fceb549a9e34553c784718","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:46.687697Z","signature_b64":"vSKP4ELSnXJp//1YtD6YiIc+q9DkqFLt5lUJG2PDtHCpyovavHaQ6jeH4nUDpzqSCtVagCElK+m6J3ZhM9r7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"265d010a9d3cc3d975b2e6f5ea5581f0388cd25d04fceb549a9e34553c784718","last_reissued_at":"2026-05-18T04:30:46.687269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:46.687269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0207111","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":"2026-05-18T04:30:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YoSLvsc/hRZ+6UAbFsigm51dM5g6nuXSUuR0EEmzzCt3quOkRY0LPqFKXaweYKYjqOmXxs6vI82j5XumOIDqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T07:09:36.642680Z"},"content_sha256":"d94ba5a2dcd44c98076d4d8854de44265b0a29fb8acddda4a7381d85105b5674","schema_version":"1.0","event_id":"sha256:d94ba5a2dcd44c98076d4d8854de44265b0a29fb8acddda4a7381d85105b5674"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:EZOQCCU5HTB5S5NS4326UVMB6A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some results concerning the representation theory of the algebra underlying loop quantum gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Hanno Sahlmann","submitted_at":"2002-07-29T15:32:20Z","abstract_excerpt":"Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the space of generalized connections. This representation is singled out by its elegance and diffeomorphism covariance.\n  Recently, in the context of the quest for semiclassical states, states of the theory in which the quantum gravitational field is close to some classical geometry, it was realized that it might also be worthwhile to study different representations of the algebra A of observables.\n  The content of the pres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0207111","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":"2026-05-18T04:30:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+Ciyx9rVsjDEO2UhSiZ0SJXCj06LRU8VylGVZO2UoDtaFnO9szKLAoKGRY69vrdlerDdixN+FknfhCFVeQ2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T07:09:36.643419Z"},"content_sha256":"1bd70a883f3817b8d905ce119cfc687704077fba69cd5658947bd4de75f1f6ae","schema_version":"1.0","event_id":"sha256:1bd70a883f3817b8d905ce119cfc687704077fba69cd5658947bd4de75f1f6ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZOQCCU5HTB5S5NS4326UVMB6A/bundle.json","state_url":"https://pith.science/pith/EZOQCCU5HTB5S5NS4326UVMB6A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZOQCCU5HTB5S5NS4326UVMB6A/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":"2026-05-22T07:09:36Z","links":{"resolver":"https://pith.science/pith/EZOQCCU5HTB5S5NS4326UVMB6A","bundle":"https://pith.science/pith/EZOQCCU5HTB5S5NS4326UVMB6A/bundle.json","state":"https://pith.science/pith/EZOQCCU5HTB5S5NS4326UVMB6A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZOQCCU5HTB5S5NS4326UVMB6A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:EZOQCCU5HTB5S5NS4326UVMB6A","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":"e6bc5ec464982675249fa351a48967a2332a473b48d92f19ef705820eec64423","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2002-07-29T15:32:20Z","title_canon_sha256":"2ffc62abbf15e46c557ac56cd22b3eed763d3aef66025d7cc8cbb344d51bca61"},"schema_version":"1.0","source":{"id":"gr-qc/0207111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0207111","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0207111v2","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0207111","created_at":"2026-05-18T04:30:46Z"},{"alias_kind":"pith_short_12","alias_value":"EZOQCCU5HTB5","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"EZOQCCU5HTB5S5NS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"EZOQCCU5","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:1bd70a883f3817b8d905ce119cfc687704077fba69cd5658947bd4de75f1f6ae","target":"graph","created_at":"2026-05-18T04:30:46Z","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":"Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the space of generalized connections. This representation is singled out by its elegance and diffeomorphism covariance.\n  Recently, in the context of the quest for semiclassical states, states of the theory in which the quantum gravitational field is close to some classical geometry, it was realized that it might also be worthwhile to study different representations of the algebra A of observables.\n  The content of the pres","authors_text":"Hanno Sahlmann","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2002-07-29T15:32:20Z","title":"Some results concerning the representation theory of the algebra underlying loop quantum gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0207111","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:d94ba5a2dcd44c98076d4d8854de44265b0a29fb8acddda4a7381d85105b5674","target":"record","created_at":"2026-05-18T04:30:46Z","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":"e6bc5ec464982675249fa351a48967a2332a473b48d92f19ef705820eec64423","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2002-07-29T15:32:20Z","title_canon_sha256":"2ffc62abbf15e46c557ac56cd22b3eed763d3aef66025d7cc8cbb344d51bca61"},"schema_version":"1.0","source":{"id":"gr-qc/0207111","kind":"arxiv","version":2}},"canonical_sha256":"265d010a9d3cc3d975b2e6f5ea5581f0388cd25d04fceb549a9e34553c784718","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"265d010a9d3cc3d975b2e6f5ea5581f0388cd25d04fceb549a9e34553c784718","first_computed_at":"2026-05-18T04:30:46.687269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:46.687269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vSKP4ELSnXJp//1YtD6YiIc+q9DkqFLt5lUJG2PDtHCpyovavHaQ6jeH4nUDpzqSCtVagCElK+m6J3ZhM9r7CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:46.687697Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0207111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d94ba5a2dcd44c98076d4d8854de44265b0a29fb8acddda4a7381d85105b5674","sha256:1bd70a883f3817b8d905ce119cfc687704077fba69cd5658947bd4de75f1f6ae"],"state_sha256":"17352f255c9dd1cbda89f3019024f68ea3ab03f63f723e4399a13a32e5560ddf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCQXMJhoOeT1cg6zhnaXDzLBTgYQ9dTKfUWGSi4rOygiKmY5MIvKxpN+Pwt+d3j4mdzTBMB3q1w+FwkUZMZcDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T07:09:36.647298Z","bundle_sha256":"453433ec0b1c631d30e6ddb2edc731eab81ca98df1a5d3c2582020968dd5b957"}}