{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2Q6GNYCKTVBOIR6KWM43JIDS5Z","short_pith_number":"pith:2Q6GNYCK","canonical_record":{"source":{"id":"1204.0091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-31T09:58:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d572036dccb2bce6df3c392b3f67f50619aca67813bb0f07b7e74ad6ba69e5b5","abstract_canon_sha256":"8fd25bdf71d54d68cf486da7da285edff54bf4e9f79740080be24ee662e24928"},"schema_version":"1.0"},"canonical_sha256":"d43c66e04a9d42e447cab339b4a072ee694578b43ef5f5cb6e73d3e6f8b0d982","source":{"kind":"arxiv","id":"1204.0091","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0091","created_at":"2026-05-18T01:57:59Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0091v2","created_at":"2026-05-18T01:57:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0091","created_at":"2026-05-18T01:57:59Z"},{"alias_kind":"pith_short_12","alias_value":"2Q6GNYCKTVBO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2Q6GNYCKTVBOIR6K","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2Q6GNYCK","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2Q6GNYCKTVBOIR6KWM43JIDS5Z","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0091","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-31T09:58:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d572036dccb2bce6df3c392b3f67f50619aca67813bb0f07b7e74ad6ba69e5b5","abstract_canon_sha256":"8fd25bdf71d54d68cf486da7da285edff54bf4e9f79740080be24ee662e24928"},"schema_version":"1.0"},"canonical_sha256":"d43c66e04a9d42e447cab339b4a072ee694578b43ef5f5cb6e73d3e6f8b0d982","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:59.775288Z","signature_b64":"ZqurbpUGb7racGnmnz/JK3eY6tDb1yqvbI+yF36SIbiFC/GCD6xno5o8W1Oa+i92LWBTZejKbnxgHd46cKskCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d43c66e04a9d42e447cab339b4a072ee694578b43ef5f5cb6e73d3e6f8b0d982","last_reissued_at":"2026-05-18T01:57:59.774895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:59.774895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0091","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":"2026-05-18T01:57:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssZUeqnM6XWdoPlQ7lX09QBqp3nF81QxZ+8N6RAmD57TuTDJT8FbXgPm5pkJcMoDLhE8w2IYhLGdfNk80cEhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:27:17.107605Z"},"content_sha256":"0302e7d11ad96ba6ad3f2941fc916615ec62c4d7f2a88d26b40a11ddbd0ba03e","schema_version":"1.0","event_id":"sha256:0302e7d11ad96ba6ad3f2941fc916615ec62c4d7f2a88d26b40a11ddbd0ba03e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2Q6GNYCKTVBOIR6KWM43JIDS5Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solutions in gravity with a sigma model source","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. A. Golubtsova, V. D. Ivashchuk","submitted_at":"2012-03-31T09:58:03Z","abstract_excerpt":"We consider a D-dimensional model of gravity with non-linear \"scalar fields\" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field equations are obtained when n-1 factor spaces are Ricci-flat, e.g. when one space M_1 of dimension d_1 > 1 has nonzero scalar curvature. The solutions are defined up to solutions to geodesic equations corresponding to a sigma model target space. Several examples of sigma models are presented. A subclass of spherically-symmetric solutions is studied and a restrict"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0091","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":"2026-05-18T01:57:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VqHqSNfzqDldEf2lgT3uUqkXYhnhqM30xV09jtCobQ8whf7KVAlekCwGWwGiR3Tz344WkjlpMQupG9tKGUwTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:27:17.107962Z"},"content_sha256":"88abbbc49e8b5d76b8db36ee692a4b14d680b2ea5f21f919fa76d7496339950d","schema_version":"1.0","event_id":"sha256:88abbbc49e8b5d76b8db36ee692a4b14d680b2ea5f21f919fa76d7496339950d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z/bundle.json","state_url":"https://pith.science/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z/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":"2026-05-28T03:27:17Z","links":{"resolver":"https://pith.science/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z","bundle":"https://pith.science/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z/bundle.json","state":"https://pith.science/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2Q6GNYCKTVBOIR6KWM43JIDS5Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2Q6GNYCKTVBOIR6KWM43JIDS5Z","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":"8fd25bdf71d54d68cf486da7da285edff54bf4e9f79740080be24ee662e24928","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-31T09:58:03Z","title_canon_sha256":"d572036dccb2bce6df3c392b3f67f50619aca67813bb0f07b7e74ad6ba69e5b5"},"schema_version":"1.0","source":{"id":"1204.0091","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0091","created_at":"2026-05-18T01:57:59Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0091v2","created_at":"2026-05-18T01:57:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0091","created_at":"2026-05-18T01:57:59Z"},{"alias_kind":"pith_short_12","alias_value":"2Q6GNYCKTVBO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2Q6GNYCKTVBOIR6K","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2Q6GNYCK","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:88abbbc49e8b5d76b8db36ee692a4b14d680b2ea5f21f919fa76d7496339950d","target":"graph","created_at":"2026-05-18T01:57:59Z","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":"We consider a D-dimensional model of gravity with non-linear \"scalar fields\" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field equations are obtained when n-1 factor spaces are Ricci-flat, e.g. when one space M_1 of dimension d_1 > 1 has nonzero scalar curvature. The solutions are defined up to solutions to geodesic equations corresponding to a sigma model target space. Several examples of sigma models are presented. A subclass of spherically-symmetric solutions is studied and a restrict","authors_text":"A. A. Golubtsova, V. D. Ivashchuk","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-31T09:58:03Z","title":"Exact solutions in gravity with a sigma model source"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0091","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":"sha256:0302e7d11ad96ba6ad3f2941fc916615ec62c4d7f2a88d26b40a11ddbd0ba03e","target":"record","created_at":"2026-05-18T01:57:59Z","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":"8fd25bdf71d54d68cf486da7da285edff54bf4e9f79740080be24ee662e24928","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-31T09:58:03Z","title_canon_sha256":"d572036dccb2bce6df3c392b3f67f50619aca67813bb0f07b7e74ad6ba69e5b5"},"schema_version":"1.0","source":{"id":"1204.0091","kind":"arxiv","version":2}},"canonical_sha256":"d43c66e04a9d42e447cab339b4a072ee694578b43ef5f5cb6e73d3e6f8b0d982","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d43c66e04a9d42e447cab339b4a072ee694578b43ef5f5cb6e73d3e6f8b0d982","first_computed_at":"2026-05-18T01:57:59.774895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:59.774895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZqurbpUGb7racGnmnz/JK3eY6tDb1yqvbI+yF36SIbiFC/GCD6xno5o8W1Oa+i92LWBTZejKbnxgHd46cKskCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:59.775288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0091","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0302e7d11ad96ba6ad3f2941fc916615ec62c4d7f2a88d26b40a11ddbd0ba03e","sha256:88abbbc49e8b5d76b8db36ee692a4b14d680b2ea5f21f919fa76d7496339950d"],"state_sha256":"e03d2718a0098a70ed3a7224d784bf5277054c52fbc1f191cabd2d53ca51c5c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ea2cxApfq2Ju3v+r4Zztpye4xPaRgfjJwpDCrUaKDHeqSNQMqn+hinS0GFG5jLlVbKRRffBGUFlQukDddBecAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:27:17.110050Z","bundle_sha256":"1c30b3dbb59bfb5c70aa420dc30ad3a1e6baef157ea24436f202060eb7bd34ad"}}