{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:GLDACPVQUSANPRS4OTOL5LMW2X","short_pith_number":"pith:GLDACPVQ","canonical_record":{"source":{"id":"gr-qc/9912059","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T09:29:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ff6d324912b0182b26fe9d7ef240df6984dc3404f2c92d9ec6a03a4d587121c0","abstract_canon_sha256":"ee588858856770d7efa72142d5634f6f7d329569425df0de47d4abc50922d489"},"schema_version":"1.0"},"canonical_sha256":"32c6013eb0a480d7c65c74dcbead96d5d6473181e42630be0a6fa0065f42fd40","source":{"kind":"arxiv","id":"gr-qc/9912059","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9912059","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9912059v1","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9912059","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"GLDACPVQUSAN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GLDACPVQUSANPRS4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GLDACPVQ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:GLDACPVQUSANPRS4OTOL5LMW2X","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9912059","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T09:29:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ff6d324912b0182b26fe9d7ef240df6984dc3404f2c92d9ec6a03a4d587121c0","abstract_canon_sha256":"ee588858856770d7efa72142d5634f6f7d329569425df0de47d4abc50922d489"},"schema_version":"1.0"},"canonical_sha256":"32c6013eb0a480d7c65c74dcbead96d5d6473181e42630be0a6fa0065f42fd40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:27.833561Z","signature_b64":"qPVYDY18KNA6PvbLeDVCHGGX5EozZfDV5zM7+eOFeojH9sPFoakE/4V9KG89zGWHueGXqV1TrRBeb6QFg5dgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32c6013eb0a480d7c65c74dcbead96d5d6473181e42630be0a6fa0065f42fd40","last_reissued_at":"2026-05-18T02:37:27.832568Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:27.832568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9912059","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":"2026-05-18T02:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmzhKIgm9RXFwvJa1RdPhkQ3z032WKczLE4oDXzWRZ9SNNzz0EBeh1JswE6w79tgIuoHetgPj8X7so1jApHiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:58:11.931749Z"},"content_sha256":"0da2173cb53825b873ad7b7732e3843777f1be5defcdff81982543e0f4b23fbf","schema_version":"1.0","event_id":"sha256:0da2173cb53825b873ad7b7732e3843777f1be5defcdff81982543e0f4b23fbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:GLDACPVQUSANPRS4OTOL5LMW2X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"(Quantum) Space-Time as a Statistical Geometry of Lumps in Random Networks","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Manfred Requardt","submitted_at":"1999-12-15T09:29:25Z","abstract_excerpt":"In the following we undertake to describe how macroscopic space-time (or rather, a microscopic protoform of it) is supposed to emerge as a superstructure of a web of lumps in a stochastic discrete network structure. As in preceding work (mentioned below), our analysis is based on the working philosophy that both physics and the corresponding mathematics have to be genuinely discrete on the primordial (Planck scale) level. This strategy is concretely implemented in the form of \\tit{cellular networks} and \\tit{random graphs}. One of our main themes is the development of the concept of \\tit{physi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9912059","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":"2026-05-18T02:37:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+lLegzMyGScFpYqlxJ21WZi0mRJEm75i4ThmnuKy1zGKjCwhMqPsCtrqAWEAq6xDaZ7A8CQLs6A5hRQPJRylAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:58:11.932094Z"},"content_sha256":"8c9e770734da2f91dfff61b56a413c236b009d0f57560c4d1b3d27ac59d324cc","schema_version":"1.0","event_id":"sha256:8c9e770734da2f91dfff61b56a413c236b009d0f57560c4d1b3d27ac59d324cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GLDACPVQUSANPRS4OTOL5LMW2X/bundle.json","state_url":"https://pith.science/pith/GLDACPVQUSANPRS4OTOL5LMW2X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GLDACPVQUSANPRS4OTOL5LMW2X/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":"2026-06-30T04:58:11Z","links":{"resolver":"https://pith.science/pith/GLDACPVQUSANPRS4OTOL5LMW2X","bundle":"https://pith.science/pith/GLDACPVQUSANPRS4OTOL5LMW2X/bundle.json","state":"https://pith.science/pith/GLDACPVQUSANPRS4OTOL5LMW2X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GLDACPVQUSANPRS4OTOL5LMW2X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:GLDACPVQUSANPRS4OTOL5LMW2X","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":"ee588858856770d7efa72142d5634f6f7d329569425df0de47d4abc50922d489","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T09:29:25Z","title_canon_sha256":"ff6d324912b0182b26fe9d7ef240df6984dc3404f2c92d9ec6a03a4d587121c0"},"schema_version":"1.0","source":{"id":"gr-qc/9912059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9912059","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9912059v1","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9912059","created_at":"2026-05-18T02:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"GLDACPVQUSAN","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GLDACPVQUSANPRS4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GLDACPVQ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:8c9e770734da2f91dfff61b56a413c236b009d0f57560c4d1b3d27ac59d324cc","target":"graph","created_at":"2026-05-18T02:37:27Z","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":"In the following we undertake to describe how macroscopic space-time (or rather, a microscopic protoform of it) is supposed to emerge as a superstructure of a web of lumps in a stochastic discrete network structure. As in preceding work (mentioned below), our analysis is based on the working philosophy that both physics and the corresponding mathematics have to be genuinely discrete on the primordial (Planck scale) level. This strategy is concretely implemented in the form of \\tit{cellular networks} and \\tit{random graphs}. One of our main themes is the development of the concept of \\tit{physi","authors_text":"Manfred Requardt","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T09:29:25Z","title":"(Quantum) Space-Time as a Statistical Geometry of Lumps in Random Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9912059","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":"sha256:0da2173cb53825b873ad7b7732e3843777f1be5defcdff81982543e0f4b23fbf","target":"record","created_at":"2026-05-18T02:37:27Z","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":"ee588858856770d7efa72142d5634f6f7d329569425df0de47d4abc50922d489","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"gr-qc","submitted_at":"1999-12-15T09:29:25Z","title_canon_sha256":"ff6d324912b0182b26fe9d7ef240df6984dc3404f2c92d9ec6a03a4d587121c0"},"schema_version":"1.0","source":{"id":"gr-qc/9912059","kind":"arxiv","version":1}},"canonical_sha256":"32c6013eb0a480d7c65c74dcbead96d5d6473181e42630be0a6fa0065f42fd40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32c6013eb0a480d7c65c74dcbead96d5d6473181e42630be0a6fa0065f42fd40","first_computed_at":"2026-05-18T02:37:27.832568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:27.832568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qPVYDY18KNA6PvbLeDVCHGGX5EozZfDV5zM7+eOFeojH9sPFoakE/4V9KG89zGWHueGXqV1TrRBeb6QFg5dgBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:27.833561Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9912059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0da2173cb53825b873ad7b7732e3843777f1be5defcdff81982543e0f4b23fbf","sha256:8c9e770734da2f91dfff61b56a413c236b009d0f57560c4d1b3d27ac59d324cc"],"state_sha256":"84a35387125e215b8618184c09eb56b2d58e376e097d5a14d6ff0e19639b24e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q0Tujv/7YRfPMSuy+MP9hFGbT7iqk9uFm0aF3v+VWRYMRqQjGkNv8rxh0/6xKP1p4NwRJcYiej23Fs1EWs/tBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T04:58:11.934175Z","bundle_sha256":"19c7867d14b2cb3a90df09794204ff97a4302ea77f83bf3cbb7e4cdee9ebbc68"}}