{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KDIPZQ3JXHLGOHVDRQDLDHPHQP","short_pith_number":"pith:KDIPZQ3J","canonical_record":{"source":{"id":"1412.3865","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-12T01:00:40Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"0774c1379400c7a350571f85a1efa4b625f95c3de69daf4eca42d4aff92022f9","abstract_canon_sha256":"29d823f4bddc52baf703689d738ec89ad1ecbc252733e73590c750de12368535"},"schema_version":"1.0"},"canonical_sha256":"50d0fcc369b9d6671ea38c06b19de783cc5402d56c44523a9173437a03fd07f9","source":{"kind":"arxiv","id":"1412.3865","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3865","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3865v1","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3865","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"KDIPZQ3JXHLG","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KDIPZQ3JXHLGOHVD","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KDIPZQ3J","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KDIPZQ3JXHLGOHVDRQDLDHPHQP","target":"record","payload":{"canonical_record":{"source":{"id":"1412.3865","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-12T01:00:40Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"0774c1379400c7a350571f85a1efa4b625f95c3de69daf4eca42d4aff92022f9","abstract_canon_sha256":"29d823f4bddc52baf703689d738ec89ad1ecbc252733e73590c750de12368535"},"schema_version":"1.0"},"canonical_sha256":"50d0fcc369b9d6671ea38c06b19de783cc5402d56c44523a9173437a03fd07f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:35.042448Z","signature_b64":"blPlLQa4MZT4EZqUL0AnlObXsmu34Mg7gSvtYhLUF5lfitJGbUaNSutNiFmX9vp0GWI13O/ChXyk1N0m51Q7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50d0fcc369b9d6671ea38c06b19de783cc5402d56c44523a9173437a03fd07f9","last_reissued_at":"2026-05-18T01:30:35.041725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:35.041725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.3865","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":"2026-05-18T01:30:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OdIRChJmiEqCwTDOWtLb+VJSAAMzjozCK5odgy+OeMuOusSAzpujmGgJ4xG3kRKmDeQm3TTMnDdiz4xqdTBRBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:29:59.908827Z"},"content_sha256":"22f4e5b586b0dee5f7b5b004f6600479b12c476c3d80c9f8f05119b86e4b69cb","schema_version":"1.0","event_id":"sha256:22f4e5b586b0dee5f7b5b004f6600479b12c476c3d80c9f8f05119b86e4b69cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KDIPZQ3JXHLGOHVDRQDLDHPHQP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear effects of general relativity from multiscale structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Miko{\\l}aj Korzy\\'nski","submitted_at":"2014-12-12T01:00:40Z","abstract_excerpt":"When do the nonlinear effects of general relativity matter in astrophysical situations? They are obviously relevant for very compact sources of the gravitational field, such as neutron stars or black holes. In this paper I discuss another, less obvious situation, in which large relativistic effects may arise due to a complicated, multiscale structure of the matter distribution. I present an exact solution with an inhomogeneous energy density distribution in the form of a hierarchy of nested voids and overdensities of various sizes, extending from the homogeneity scale down to arbitrary small s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3865","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":"2026-05-18T01:30:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1P/RwsNhUm041zD5jnIDq4+eMWoIlBxgfmizDLY/AOvUbMbbo0AH6VePfChiXmlK9pHQ8JNpA9NJd6dlGlamCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:29:59.909570Z"},"content_sha256":"94a056364ee5f7bfbd90e5fe3c5a83f18f0308953007414581f7b85e14629ad7","schema_version":"1.0","event_id":"sha256:94a056364ee5f7bfbd90e5fe3c5a83f18f0308953007414581f7b85e14629ad7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP/bundle.json","state_url":"https://pith.science/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP/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":"2026-05-30T22:29:59Z","links":{"resolver":"https://pith.science/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP","bundle":"https://pith.science/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP/bundle.json","state":"https://pith.science/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KDIPZQ3JXHLGOHVDRQDLDHPHQP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KDIPZQ3JXHLGOHVDRQDLDHPHQP","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":"29d823f4bddc52baf703689d738ec89ad1ecbc252733e73590c750de12368535","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-12T01:00:40Z","title_canon_sha256":"0774c1379400c7a350571f85a1efa4b625f95c3de69daf4eca42d4aff92022f9"},"schema_version":"1.0","source":{"id":"1412.3865","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3865","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3865v1","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3865","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"KDIPZQ3JXHLG","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KDIPZQ3JXHLGOHVD","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KDIPZQ3J","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:94a056364ee5f7bfbd90e5fe3c5a83f18f0308953007414581f7b85e14629ad7","target":"graph","created_at":"2026-05-18T01:30:35Z","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":"When do the nonlinear effects of general relativity matter in astrophysical situations? They are obviously relevant for very compact sources of the gravitational field, such as neutron stars or black holes. In this paper I discuss another, less obvious situation, in which large relativistic effects may arise due to a complicated, multiscale structure of the matter distribution. I present an exact solution with an inhomogeneous energy density distribution in the form of a hierarchy of nested voids and overdensities of various sizes, extending from the homogeneity scale down to arbitrary small s","authors_text":"Miko{\\l}aj Korzy\\'nski","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-12T01:00:40Z","title":"Nonlinear effects of general relativity from multiscale structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3865","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":"sha256:22f4e5b586b0dee5f7b5b004f6600479b12c476c3d80c9f8f05119b86e4b69cb","target":"record","created_at":"2026-05-18T01:30:35Z","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":"29d823f4bddc52baf703689d738ec89ad1ecbc252733e73590c750de12368535","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-12T01:00:40Z","title_canon_sha256":"0774c1379400c7a350571f85a1efa4b625f95c3de69daf4eca42d4aff92022f9"},"schema_version":"1.0","source":{"id":"1412.3865","kind":"arxiv","version":1}},"canonical_sha256":"50d0fcc369b9d6671ea38c06b19de783cc5402d56c44523a9173437a03fd07f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50d0fcc369b9d6671ea38c06b19de783cc5402d56c44523a9173437a03fd07f9","first_computed_at":"2026-05-18T01:30:35.041725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:35.041725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"blPlLQa4MZT4EZqUL0AnlObXsmu34Mg7gSvtYhLUF5lfitJGbUaNSutNiFmX9vp0GWI13O/ChXyk1N0m51Q7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:35.042448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3865","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22f4e5b586b0dee5f7b5b004f6600479b12c476c3d80c9f8f05119b86e4b69cb","sha256:94a056364ee5f7bfbd90e5fe3c5a83f18f0308953007414581f7b85e14629ad7"],"state_sha256":"9960a4245a2c1b57b0414800b746393654e58333b92bec3d32f57d14747974a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z774jG5OHtnTRFE9zAe/jRaD0X4TUuW5rJIPvs2hLdBYKwdaowYVa/ouwAViRe2fQ1iSGTLsHZu7U5LGT4kXAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:29:59.913459Z","bundle_sha256":"a1264f3249a4cfcf5d3bbb1c17288ee2c70e7c9356c18e90d00c04709b6d79ba"}}