{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DABQNRSKMLYN7SLSM64T4Q43OB","short_pith_number":"pith:DABQNRSK","canonical_record":{"source":{"id":"1811.07204","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-17T18:17:55Z","cross_cats_sorted":[],"title_canon_sha256":"70dd7f6a4a573745b364cb0f02239f7780f241c635e7e3a695502b0e0279487e","abstract_canon_sha256":"7f5b95aced308f85a9158c144cc3f895f50f73be0416f0923bf4441621f756ca"},"schema_version":"1.0"},"canonical_sha256":"180306c64a62f0dfc97267b93e439b70619d2a621df0a636fa631d19aeeb6fcc","source":{"kind":"arxiv","id":"1811.07204","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07204","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07204v3","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07204","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"pith_short_12","alias_value":"DABQNRSKMLYN","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DABQNRSKMLYN7SLS","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DABQNRSK","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DABQNRSKMLYN7SLSM64T4Q43OB","target":"record","payload":{"canonical_record":{"source":{"id":"1811.07204","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-17T18:17:55Z","cross_cats_sorted":[],"title_canon_sha256":"70dd7f6a4a573745b364cb0f02239f7780f241c635e7e3a695502b0e0279487e","abstract_canon_sha256":"7f5b95aced308f85a9158c144cc3f895f50f73be0416f0923bf4441621f756ca"},"schema_version":"1.0"},"canonical_sha256":"180306c64a62f0dfc97267b93e439b70619d2a621df0a636fa631d19aeeb6fcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:20.527345Z","signature_b64":"LBSQRleznEVxNDzTBY9SadgkA3OtaI9B4nAtVLjL1FXreyL0fUWxAXnOxqiF8KI7+00BKHnjc8C5Z02y8SQOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"180306c64a62f0dfc97267b93e439b70619d2a621df0a636fa631d19aeeb6fcc","last_reissued_at":"2026-05-17T23:45:20.526884Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:20.526884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.07204","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VJiWRkdefvA72gmT+/VqEdIKS1oXJTLBkT1YrE2sAXPWRyOudnLsQfYfyPlylPsWPXQUlDmsOqz96vhlz39NBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:04:05.071361Z"},"content_sha256":"2754d197f3c96be881f4ac1215a0f93e4f6fb4f516100f19c7da3908c2675ed1","schema_version":"1.0","event_id":"sha256:2754d197f3c96be881f4ac1215a0f93e4f6fb4f516100f19c7da3908c2675ed1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DABQNRSKMLYN7SLSM64T4Q43OB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connecting noncommutative geometry to f(R) modified gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Peter K.F. Kuhfittig","submitted_at":"2018-11-17T18:17:55Z","abstract_excerpt":"It is shown in this note that a noncommutative-geometry background determines the modified-gravity function $f(R)$ for modeling dark matter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07204","kind":"arxiv","version":3},"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":"2026-05-17T23:45:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTw19rLFAQ8l8prxEAjzErQhumiBXVvVMWWTalC76ETqedt5pYTUU8wM/MqiAdR2AzM/fRv91eyABdBDhyQ5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:04:05.071709Z"},"content_sha256":"68a3ca67b4a96c59682c4b0d2a4b4ad574f4ce6dd7dffe6c9283370b5364094c","schema_version":"1.0","event_id":"sha256:68a3ca67b4a96c59682c4b0d2a4b4ad574f4ce6dd7dffe6c9283370b5364094c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DABQNRSKMLYN7SLSM64T4Q43OB/bundle.json","state_url":"https://pith.science/pith/DABQNRSKMLYN7SLSM64T4Q43OB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DABQNRSKMLYN7SLSM64T4Q43OB/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":"2026-06-26T13:04:05Z","links":{"resolver":"https://pith.science/pith/DABQNRSKMLYN7SLSM64T4Q43OB","bundle":"https://pith.science/pith/DABQNRSKMLYN7SLSM64T4Q43OB/bundle.json","state":"https://pith.science/pith/DABQNRSKMLYN7SLSM64T4Q43OB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DABQNRSKMLYN7SLSM64T4Q43OB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DABQNRSKMLYN7SLSM64T4Q43OB","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":"7f5b95aced308f85a9158c144cc3f895f50f73be0416f0923bf4441621f756ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-17T18:17:55Z","title_canon_sha256":"70dd7f6a4a573745b364cb0f02239f7780f241c635e7e3a695502b0e0279487e"},"schema_version":"1.0","source":{"id":"1811.07204","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07204","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07204v3","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07204","created_at":"2026-05-17T23:45:20Z"},{"alias_kind":"pith_short_12","alias_value":"DABQNRSKMLYN","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DABQNRSKMLYN7SLS","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DABQNRSK","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:68a3ca67b4a96c59682c4b0d2a4b4ad574f4ce6dd7dffe6c9283370b5364094c","target":"graph","created_at":"2026-05-17T23:45:20Z","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":"It is shown in this note that a noncommutative-geometry background determines the modified-gravity function $f(R)$ for modeling dark matter.","authors_text":"Peter K.F. Kuhfittig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-17T18:17:55Z","title":"Connecting noncommutative geometry to f(R) modified gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07204","kind":"arxiv","version":3},"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":"sha256:2754d197f3c96be881f4ac1215a0f93e4f6fb4f516100f19c7da3908c2675ed1","target":"record","created_at":"2026-05-17T23:45:20Z","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":"7f5b95aced308f85a9158c144cc3f895f50f73be0416f0923bf4441621f756ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-17T18:17:55Z","title_canon_sha256":"70dd7f6a4a573745b364cb0f02239f7780f241c635e7e3a695502b0e0279487e"},"schema_version":"1.0","source":{"id":"1811.07204","kind":"arxiv","version":3}},"canonical_sha256":"180306c64a62f0dfc97267b93e439b70619d2a621df0a636fa631d19aeeb6fcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"180306c64a62f0dfc97267b93e439b70619d2a621df0a636fa631d19aeeb6fcc","first_computed_at":"2026-05-17T23:45:20.526884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:20.526884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LBSQRleznEVxNDzTBY9SadgkA3OtaI9B4nAtVLjL1FXreyL0fUWxAXnOxqiF8KI7+00BKHnjc8C5Z02y8SQOCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:20.527345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.07204","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2754d197f3c96be881f4ac1215a0f93e4f6fb4f516100f19c7da3908c2675ed1","sha256:68a3ca67b4a96c59682c4b0d2a4b4ad574f4ce6dd7dffe6c9283370b5364094c"],"state_sha256":"fb63e7af11c53bd1ea10129cabd2fbec9b5b9556648ca53ba38c36c332430fdc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/osn+BqVVBuAfXYVjuFz6CzVP0Ogo7CDdYfhgMNHWTbeO0hxwwSw4X5nuahmEDepLzGiIiRc7E7jfnEhtnw+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:04:05.073975Z","bundle_sha256":"27f793f8aa57fbf0906f7ec1720f37a36258d2f073593b30123cd91c0bddb256"}}