{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MUNK2ELQWWTB5KOPCN5WOEZCWX","short_pith_number":"pith:MUNK2ELQ","canonical_record":{"source":{"id":"1012.3083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-14T16:26:59Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"776c338271355787a66abeb22f45c5aacf6c929785f0b7a03a408861bf48fd61","abstract_canon_sha256":"34323b5cf0887c46bbc8c4d176d27480aa22f6240247fd59f9e453e4ae526e8c"},"schema_version":"1.0"},"canonical_sha256":"651aad1170b5a61ea9cf137b671322b5fb62caf2c339da5e0a8553895fbf295c","source":{"kind":"arxiv","id":"1012.3083","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3083","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3083v1","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3083","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"MUNK2ELQWWTB","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MUNK2ELQWWTB5KOP","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MUNK2ELQ","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MUNK2ELQWWTB5KOPCN5WOEZCWX","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3083","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-14T16:26:59Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"776c338271355787a66abeb22f45c5aacf6c929785f0b7a03a408861bf48fd61","abstract_canon_sha256":"34323b5cf0887c46bbc8c4d176d27480aa22f6240247fd59f9e453e4ae526e8c"},"schema_version":"1.0"},"canonical_sha256":"651aad1170b5a61ea9cf137b671322b5fb62caf2c339da5e0a8553895fbf295c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:18.693485Z","signature_b64":"w17cMHIhmdceIKkxSish+N/PEfC+Yf/Xg5n7uYs9Qd45Hrwwn4OdSAABeTzF0oG2J26LAZYPXei5FBDcRVGXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"651aad1170b5a61ea9cf137b671322b5fb62caf2c339da5e0a8553895fbf295c","last_reissued_at":"2026-05-18T04:33:18.692931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:18.692931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3083","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":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2meOLjRJHPbMAcYXHjvaJlSnQNIG18xdomvuzIFAYxbfEq1RyRjpM9nMOplo9oVbvz3GeQwmd2vJL5HF6knBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:49:01.985349Z"},"content_sha256":"27b40f1c6d24c3c9447c62fa0b93fa66a93755f6f223ec8e1dd35979a0c8d09d","schema_version":"1.0","event_id":"sha256:27b40f1c6d24c3c9447c62fa0b93fa66a93755f6f223ec8e1dd35979a0c8d09d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MUNK2ELQWWTB5KOPCN5WOEZCWX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective Inhomogeneous Cosmologies and Emerging Scalar Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Nathaniel Obadia, Thomas Buchert, Xavier Roy","submitted_at":"2010-12-14T16:26:59Z","abstract_excerpt":"In this contribution we summarize two recent applications of a correspondence between backreaction terms in averaged inhomogeneous cosmologies and an effective scalar field (the `morphon'). Backreaction terms that add to the standard sources of Friedmannian kinematical laws and that emerge from geometrical curvature invariants built from inhomogeneities, can be interpreted in terms of a minimally coupled scalar field in the case of a dust matter source. We consider closure conditions of the averaged equations that lead to different evolution scenarii: a) the standard Chaplygin equation of stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3083","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":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QIxRBKkB/Cvrc7irqQ8CVHxFGMnYBk6RHhuUuOhWqHomfhd22Me56V+Fw1/s5pG+iSLuR2CpFIx0NkLWs5+XDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T20:49:01.986077Z"},"content_sha256":"51c31d37119032021e55fc70f09ef164d2bee910d14bb57774b69b4e9288d6ed","schema_version":"1.0","event_id":"sha256:51c31d37119032021e55fc70f09ef164d2bee910d14bb57774b69b4e9288d6ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX/bundle.json","state_url":"https://pith.science/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX/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":"2026-06-11T20:49:01Z","links":{"resolver":"https://pith.science/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX","bundle":"https://pith.science/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX/bundle.json","state":"https://pith.science/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUNK2ELQWWTB5KOPCN5WOEZCWX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MUNK2ELQWWTB5KOPCN5WOEZCWX","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":"34323b5cf0887c46bbc8c4d176d27480aa22f6240247fd59f9e453e4ae526e8c","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-14T16:26:59Z","title_canon_sha256":"776c338271355787a66abeb22f45c5aacf6c929785f0b7a03a408861bf48fd61"},"schema_version":"1.0","source":{"id":"1012.3083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3083","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3083v1","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3083","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"MUNK2ELQWWTB","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MUNK2ELQWWTB5KOP","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MUNK2ELQ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:51c31d37119032021e55fc70f09ef164d2bee910d14bb57774b69b4e9288d6ed","target":"graph","created_at":"2026-05-18T04:33:18Z","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 contribution we summarize two recent applications of a correspondence between backreaction terms in averaged inhomogeneous cosmologies and an effective scalar field (the `morphon'). Backreaction terms that add to the standard sources of Friedmannian kinematical laws and that emerge from geometrical curvature invariants built from inhomogeneities, can be interpreted in terms of a minimally coupled scalar field in the case of a dust matter source. We consider closure conditions of the averaged equations that lead to different evolution scenarii: a) the standard Chaplygin equation of stat","authors_text":"Nathaniel Obadia, Thomas Buchert, Xavier Roy","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-14T16:26:59Z","title":"Effective Inhomogeneous Cosmologies and Emerging Scalar Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3083","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":"sha256:27b40f1c6d24c3c9447c62fa0b93fa66a93755f6f223ec8e1dd35979a0c8d09d","target":"record","created_at":"2026-05-18T04:33:18Z","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":"34323b5cf0887c46bbc8c4d176d27480aa22f6240247fd59f9e453e4ae526e8c","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-14T16:26:59Z","title_canon_sha256":"776c338271355787a66abeb22f45c5aacf6c929785f0b7a03a408861bf48fd61"},"schema_version":"1.0","source":{"id":"1012.3083","kind":"arxiv","version":1}},"canonical_sha256":"651aad1170b5a61ea9cf137b671322b5fb62caf2c339da5e0a8553895fbf295c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"651aad1170b5a61ea9cf137b671322b5fb62caf2c339da5e0a8553895fbf295c","first_computed_at":"2026-05-18T04:33:18.692931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:18.692931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w17cMHIhmdceIKkxSish+N/PEfC+Yf/Xg5n7uYs9Qd45Hrwwn4OdSAABeTzF0oG2J26LAZYPXei5FBDcRVGXDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:18.693485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27b40f1c6d24c3c9447c62fa0b93fa66a93755f6f223ec8e1dd35979a0c8d09d","sha256:51c31d37119032021e55fc70f09ef164d2bee910d14bb57774b69b4e9288d6ed"],"state_sha256":"7b8e1e243bec7120bf74da456cc2536015db36908aac7e4e533474f84f2d8bfd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g28sWc4gE67SWbKqipsHDUIUsC2s422CaALz7NtJBUYnYk+9CvTrGkpdM7EV29JaCn+wFzQ309F7Ij3RdDfQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T20:49:01.990669Z","bundle_sha256":"49e8c9e2c6dbb1e8c1ee07862c6a919501c96a1e858c476102b35c6258e2b52e"}}