{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:7WTBG25V2UNDNWGM7MR5DICTEC","short_pith_number":"pith:7WTBG25V","canonical_record":{"source":{"id":"0908.3683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-25T20:34:15Z","cross_cats_sorted":["astro-ph.CO","gr-qc","math-ph","math.MP"],"title_canon_sha256":"9c5169e63dd029d0466d80bbd1c28d856dd1c07eab36392f9bdab0558a03bbff","abstract_canon_sha256":"db0ddb8b8964033e38d6bd7a2ec74fa517e110c689968fc1a7c416f7c9f76be3"},"schema_version":"1.0"},"canonical_sha256":"fda6136bb5d51a36d8ccfb23d1a05320b8f101903a244dba737f339431fea650","source":{"kind":"arxiv","id":"0908.3683","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3683","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3683v1","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3683","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"pith_short_12","alias_value":"7WTBG25V2UND","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"pith_short_16","alias_value":"7WTBG25V2UNDNWGM","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"pith_short_8","alias_value":"7WTBG25V","created_at":"2026-07-04T15:48:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:7WTBG25V2UNDNWGM7MR5DICTEC","target":"record","payload":{"canonical_record":{"source":{"id":"0908.3683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-25T20:34:15Z","cross_cats_sorted":["astro-ph.CO","gr-qc","math-ph","math.MP"],"title_canon_sha256":"9c5169e63dd029d0466d80bbd1c28d856dd1c07eab36392f9bdab0558a03bbff","abstract_canon_sha256":"db0ddb8b8964033e38d6bd7a2ec74fa517e110c689968fc1a7c416f7c9f76be3"},"schema_version":"1.0"},"canonical_sha256":"fda6136bb5d51a36d8ccfb23d1a05320b8f101903a244dba737f339431fea650","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:48:30.698592Z","signature_b64":"HBafb11VNwmRezXSh28iuPylfjC+jgkV64kujNTr5zER5GcCqrdsSJS9NSdpY8Y3Twk9n5kbn+yaluehC1O0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fda6136bb5d51a36d8ccfb23d1a05320b8f101903a244dba737f339431fea650","last_reissued_at":"2026-07-04T15:48:30.698150Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:48:30.698150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.3683","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":"2026-07-04T15:48:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRW2OxulUySfla8pbJDjAmxnvtU5g8B1NJiSnERFaMh8B+1joBBYT+n4AY7e5HRrOTe/B/B/y52rXQt/E7kWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T08:23:20.779479Z"},"content_sha256":"f622891f33c9aa5f80851f31d92d9971571cc9db45feec44c8e95d40f47c2d0e","schema_version":"1.0","event_id":"sha256:f622891f33c9aa5f80851f31d92d9971571cc9db45feec44c8e95d40f47c2d0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:7WTBG25V2UNDNWGM7MR5DICTEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Early Universe models from Noncommutative Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Elena Pierpaoli (USC), Matilde Marcolli (Caltech)","submitted_at":"2009-08-25T20:34:15Z","abstract_excerpt":"We investigate cosmological predictions on the early universe based on the noncommutative geometry models of gravity coupled to matter. Using the renormalization group analysis for the Standard Model with right handed neutrinos and Majorana mass terms, which is the particle physics content of the most recent noncommutative geometry models, we analyze the behavior of the coefficients of the gravitational and cosmological terms in the Lagrangian derived from the asymptotic expansion of the spectral action functional of noncommutative geometry. We find emergent Hoyle-Narlikar and conformal gravit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3683","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/0908.3683/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":"2026-07-04T15:48:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2vN3ofS+J77sKbdXxBYvYDJA/GTEZd9ifjei+GOjF8CYnyW8r6HNii3x6Om9XBvAK/Tz6ZqclVV3c/SZEbTSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T08:23:20.779976Z"},"content_sha256":"3aa9427ebc08db25bfcd6bd73898ad9965e347cbb6bc3ddd42072e541f2a7c6b","schema_version":"1.0","event_id":"sha256:3aa9427ebc08db25bfcd6bd73898ad9965e347cbb6bc3ddd42072e541f2a7c6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7WTBG25V2UNDNWGM7MR5DICTEC/bundle.json","state_url":"https://pith.science/pith/7WTBG25V2UNDNWGM7MR5DICTEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7WTBG25V2UNDNWGM7MR5DICTEC/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":"2026-08-15T08:23:20Z","links":{"resolver":"https://pith.science/pith/7WTBG25V2UNDNWGM7MR5DICTEC","bundle":"https://pith.science/pith/7WTBG25V2UNDNWGM7MR5DICTEC/bundle.json","state":"https://pith.science/pith/7WTBG25V2UNDNWGM7MR5DICTEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7WTBG25V2UNDNWGM7MR5DICTEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7WTBG25V2UNDNWGM7MR5DICTEC","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":"db0ddb8b8964033e38d6bd7a2ec74fa517e110c689968fc1a7c416f7c9f76be3","cross_cats_sorted":["astro-ph.CO","gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-25T20:34:15Z","title_canon_sha256":"9c5169e63dd029d0466d80bbd1c28d856dd1c07eab36392f9bdab0558a03bbff"},"schema_version":"1.0","source":{"id":"0908.3683","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3683","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3683v1","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3683","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"pith_short_12","alias_value":"7WTBG25V2UND","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"pith_short_16","alias_value":"7WTBG25V2UNDNWGM","created_at":"2026-07-04T15:48:30Z"},{"alias_kind":"pith_short_8","alias_value":"7WTBG25V","created_at":"2026-07-04T15:48:30Z"}],"graph_snapshots":[{"event_id":"sha256:3aa9427ebc08db25bfcd6bd73898ad9965e347cbb6bc3ddd42072e541f2a7c6b","target":"graph","created_at":"2026-07-04T15:48:30Z","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/0908.3683/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate cosmological predictions on the early universe based on the noncommutative geometry models of gravity coupled to matter. Using the renormalization group analysis for the Standard Model with right handed neutrinos and Majorana mass terms, which is the particle physics content of the most recent noncommutative geometry models, we analyze the behavior of the coefficients of the gravitational and cosmological terms in the Lagrangian derived from the asymptotic expansion of the spectral action functional of noncommutative geometry. We find emergent Hoyle-Narlikar and conformal gravit","authors_text":"Elena Pierpaoli (USC), Matilde Marcolli (Caltech)","cross_cats":["astro-ph.CO","gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-25T20:34:15Z","title":"Early Universe models from Noncommutative Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3683","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:f622891f33c9aa5f80851f31d92d9971571cc9db45feec44c8e95d40f47c2d0e","target":"record","created_at":"2026-07-04T15:48:30Z","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":"db0ddb8b8964033e38d6bd7a2ec74fa517e110c689968fc1a7c416f7c9f76be3","cross_cats_sorted":["astro-ph.CO","gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-25T20:34:15Z","title_canon_sha256":"9c5169e63dd029d0466d80bbd1c28d856dd1c07eab36392f9bdab0558a03bbff"},"schema_version":"1.0","source":{"id":"0908.3683","kind":"arxiv","version":1}},"canonical_sha256":"fda6136bb5d51a36d8ccfb23d1a05320b8f101903a244dba737f339431fea650","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fda6136bb5d51a36d8ccfb23d1a05320b8f101903a244dba737f339431fea650","first_computed_at":"2026-07-04T15:48:30.698150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:48:30.698150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HBafb11VNwmRezXSh28iuPylfjC+jgkV64kujNTr5zER5GcCqrdsSJS9NSdpY8Y3Twk9n5kbn+yaluehC1O0Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:48:30.698592Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.3683","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f622891f33c9aa5f80851f31d92d9971571cc9db45feec44c8e95d40f47c2d0e","sha256:3aa9427ebc08db25bfcd6bd73898ad9965e347cbb6bc3ddd42072e541f2a7c6b"],"state_sha256":"adaa369304f6ab5137d33aec2d541da11ddc3d56a3f120dd6a8973115622bc5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fhwWLQ6BVc9+JQ0bHEJkicQcKX+i87Jgf6cwGk4An46mK6GakZpqowhhPl8b/F27u3wD6vuKmzZ50RKdAUpdAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T08:23:20.783701Z","bundle_sha256":"f84a7ebe90c2385228cdd081adf291a5093b9079c43c46e34f8774349388c218"}}