{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5GFAIYDF3PVJTUYVOCUKUXMTBR","short_pith_number":"pith:5GFAIYDF","canonical_record":{"source":{"id":"1007.5342","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-29T21:57:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a6d0381ca59960436f6973c5fb8bef74928d7f05771168fe0c0eb097c54fcdf5","abstract_canon_sha256":"e29484033fc526998122395ce9eedd3f9c1f459893341d74e8d7d1e38ce15bba"},"schema_version":"1.0"},"canonical_sha256":"e98a046065dbea99d31570a8aa5d930c603255d6a1f9fd46394cf9552ce0b0bd","source":{"kind":"arxiv","id":"1007.5342","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.5342","created_at":"2026-05-18T04:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1007.5342v2","created_at":"2026-05-18T04:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.5342","created_at":"2026-05-18T04:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"5GFAIYDF3PVJ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5GFAIYDF3PVJTUYV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5GFAIYDF","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5GFAIYDF3PVJTUYVOCUKUXMTBR","target":"record","payload":{"canonical_record":{"source":{"id":"1007.5342","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-29T21:57:06Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a6d0381ca59960436f6973c5fb8bef74928d7f05771168fe0c0eb097c54fcdf5","abstract_canon_sha256":"e29484033fc526998122395ce9eedd3f9c1f459893341d74e8d7d1e38ce15bba"},"schema_version":"1.0"},"canonical_sha256":"e98a046065dbea99d31570a8aa5d930c603255d6a1f9fd46394cf9552ce0b0bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:35.112168Z","signature_b64":"WVyhI/jmLQhEBj1u87iu16a3cILlH7st6txhcMsPDUh2PH60mV4a2+HdOOoPguQZHMVUlkJ/mgpCDiIajg/eBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98a046065dbea99d31570a8aa5d930c603255d6a1f9fd46394cf9552ce0b0bd","last_reissued_at":"2026-05-18T04:42:35.111758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:35.111758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.5342","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":"2026-05-18T04:42:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/qJfRAm4h81YeN3VVRI6HhLXb1qA+Xl/22o7yigQHTd2LSRBmtIJpVin+7IzJjH6x75WyZeutNlu4KqiGlhaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:16:48.381309Z"},"content_sha256":"b4d7b06b9fc859c98ce7606093e0415dfb09852e97c026afb465da96f6bccdfa","schema_version":"1.0","event_id":"sha256:b4d7b06b9fc859c98ce7606093e0415dfb09852e97c026afb465da96f6bccdfa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5GFAIYDF3PVJTUYVOCUKUXMTBR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A black hole cast on a non-commutative background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Manasse R. Mbonye","submitted_at":"2010-07-29T21:57:06Z","abstract_excerpt":"In this work we describe a black hole, set on a non-commutative background. The model, which is relatively simple, is an exact solution of the Einstein Field Equations. Based on a proposition we put forward, we argue that introducing a matter density field on a non-commutative background sets up a mechanism that deforms the field into two distinct fields, one residing dominantly on the lattice tops (hereafter, on-cell) and the other residing dominantly in the inter-lattice regions (hereafter, off-cell). The two fields have different physical and themodynamic characterics which we describe, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5342","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":"2026-05-18T04:42:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XdTYNR4qBqe1LNPNpkzd6ltgpZHn/0X+qBniuB/TLQMTdjqAaTtlgRL3FeOyTCpFc7pVQcOuDyRHT027mMRaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T21:16:48.381673Z"},"content_sha256":"b39bde0cc76fe86496083d80f3ba8d1f38d2786200e51cc5ff871e597d3502eb","schema_version":"1.0","event_id":"sha256:b39bde0cc76fe86496083d80f3ba8d1f38d2786200e51cc5ff871e597d3502eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR/bundle.json","state_url":"https://pith.science/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR/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":"2026-06-27T21:16:48Z","links":{"resolver":"https://pith.science/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR","bundle":"https://pith.science/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR/bundle.json","state":"https://pith.science/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GFAIYDF3PVJTUYVOCUKUXMTBR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5GFAIYDF3PVJTUYVOCUKUXMTBR","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":"e29484033fc526998122395ce9eedd3f9c1f459893341d74e8d7d1e38ce15bba","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-29T21:57:06Z","title_canon_sha256":"a6d0381ca59960436f6973c5fb8bef74928d7f05771168fe0c0eb097c54fcdf5"},"schema_version":"1.0","source":{"id":"1007.5342","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.5342","created_at":"2026-05-18T04:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1007.5342v2","created_at":"2026-05-18T04:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.5342","created_at":"2026-05-18T04:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"5GFAIYDF3PVJ","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5GFAIYDF3PVJTUYV","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5GFAIYDF","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:b39bde0cc76fe86496083d80f3ba8d1f38d2786200e51cc5ff871e597d3502eb","target":"graph","created_at":"2026-05-18T04:42:35Z","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 this work we describe a black hole, set on a non-commutative background. The model, which is relatively simple, is an exact solution of the Einstein Field Equations. Based on a proposition we put forward, we argue that introducing a matter density field on a non-commutative background sets up a mechanism that deforms the field into two distinct fields, one residing dominantly on the lattice tops (hereafter, on-cell) and the other residing dominantly in the inter-lattice regions (hereafter, off-cell). The two fields have different physical and themodynamic characterics which we describe, and","authors_text":"Manasse R. Mbonye","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-29T21:57:06Z","title":"A black hole cast on a non-commutative background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.5342","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:b4d7b06b9fc859c98ce7606093e0415dfb09852e97c026afb465da96f6bccdfa","target":"record","created_at":"2026-05-18T04:42:35Z","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":"e29484033fc526998122395ce9eedd3f9c1f459893341d74e8d7d1e38ce15bba","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-29T21:57:06Z","title_canon_sha256":"a6d0381ca59960436f6973c5fb8bef74928d7f05771168fe0c0eb097c54fcdf5"},"schema_version":"1.0","source":{"id":"1007.5342","kind":"arxiv","version":2}},"canonical_sha256":"e98a046065dbea99d31570a8aa5d930c603255d6a1f9fd46394cf9552ce0b0bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e98a046065dbea99d31570a8aa5d930c603255d6a1f9fd46394cf9552ce0b0bd","first_computed_at":"2026-05-18T04:42:35.111758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:35.111758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WVyhI/jmLQhEBj1u87iu16a3cILlH7st6txhcMsPDUh2PH60mV4a2+HdOOoPguQZHMVUlkJ/mgpCDiIajg/eBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:35.112168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.5342","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4d7b06b9fc859c98ce7606093e0415dfb09852e97c026afb465da96f6bccdfa","sha256:b39bde0cc76fe86496083d80f3ba8d1f38d2786200e51cc5ff871e597d3502eb"],"state_sha256":"97e641134e06a2133ec702edc6bc9f59f01a83514584cb5a4ba710f89b42a8ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2DNb2m1t97QCDuxC4WhMvkfGNN/pYqJJ3EfLm00uAStOZqyYvrJiuYc3zCz22z2rkNYi9P7ho+DaawG5HYLeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T21:16:48.383483Z","bundle_sha256":"acdf4861b835027645c02558ee5b3322c42b4c87a28a805f5278b5732c1b68f1"}}