{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QQR5LDUYVMZ3KXO4VTID2O6K2L","short_pith_number":"pith:QQR5LDUY","canonical_record":{"source":{"id":"1401.5466","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-21T21:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"f3fe063923331f75a53a7ac85f8fb8c111c66e8c5fae53e932f7eff1f235b0d0","abstract_canon_sha256":"ee0bb2053e827517128ab66a67703db9d08b341d999dd06d1ad0a4dd98696c9a"},"schema_version":"1.0"},"canonical_sha256":"8423d58e98ab33b55ddcacd03d3bcad2e8afc82d4084b469bc27996f5bc71090","source":{"kind":"arxiv","id":"1401.5466","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5466","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5466v3","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5466","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"pith_short_12","alias_value":"QQR5LDUYVMZ3","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQR5LDUYVMZ3KXO4","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQR5LDUY","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QQR5LDUYVMZ3KXO4VTID2O6K2L","target":"record","payload":{"canonical_record":{"source":{"id":"1401.5466","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-21T21:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"f3fe063923331f75a53a7ac85f8fb8c111c66e8c5fae53e932f7eff1f235b0d0","abstract_canon_sha256":"ee0bb2053e827517128ab66a67703db9d08b341d999dd06d1ad0a4dd98696c9a"},"schema_version":"1.0"},"canonical_sha256":"8423d58e98ab33b55ddcacd03d3bcad2e8afc82d4084b469bc27996f5bc71090","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:18.278600Z","signature_b64":"G+k/z/BpcKOuhGteQ10RHqBj0MWDIfFvISTxLKPnWPNtVRANah6VIZCjb4H+6aEZD2QoQx53b29wrHqCtXpsBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8423d58e98ab33b55ddcacd03d3bcad2e8afc82d4084b469bc27996f5bc71090","last_reissued_at":"2026-05-18T01:45:18.278166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:18.278166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.5466","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":"2026-05-18T01:45:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LNH58YhHbStss/jPJMhfGZwUtsZmpawj8fQJfnSxciO1yrslMjqyR5JevNgcbhpUOaSUP/hFkSInamc7H95cCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:30:58.719523Z"},"content_sha256":"9236a3a020368dc5d46b8f65e1349aa01a3554d59d38a7429cb145e94e9347bf","schema_version":"1.0","event_id":"sha256:9236a3a020368dc5d46b8f65e1349aa01a3554d59d38a7429cb145e94e9347bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QQR5LDUYVMZ3KXO4VTID2O6K2L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Zeldovich approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Martin White","submitted_at":"2014-01-21T21:00:05Z","abstract_excerpt":"This year marks the 100th anniversary of the birth of Yakov Zel'dovich. Amongst his many legacies is the Zel'dovich approximation for the growth of large-scale structure, which remains one of the most successful and insightful analytic models of structure formation. We use the Zel'dovich approximation to compute the two-point function of the matter and biased tracers, and compare to the results of N-body simulations and other Lagrangian perturbation theories. We show that Lagrangian perturbation theories converge well and that the Zel'dovich approximation provides a good fit to the N-body resu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5466","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":"2026-05-18T01:45:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tL51T+O4G6yozigA5livmEHUQh2w7U7N0If/o9mHuPD8mFSpl6POtGs61lld0/0Y6xLLCPQs1YBupIscGjfZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:30:58.719870Z"},"content_sha256":"8e18296d154b077a4766c8684a1572af697521eda88ec2e5c67f4732648f0b38","schema_version":"1.0","event_id":"sha256:8e18296d154b077a4766c8684a1572af697521eda88ec2e5c67f4732648f0b38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L/bundle.json","state_url":"https://pith.science/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L/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":"2026-06-29T19:30:58Z","links":{"resolver":"https://pith.science/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L","bundle":"https://pith.science/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L/bundle.json","state":"https://pith.science/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQR5LDUYVMZ3KXO4VTID2O6K2L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QQR5LDUYVMZ3KXO4VTID2O6K2L","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":"ee0bb2053e827517128ab66a67703db9d08b341d999dd06d1ad0a4dd98696c9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-21T21:00:05Z","title_canon_sha256":"f3fe063923331f75a53a7ac85f8fb8c111c66e8c5fae53e932f7eff1f235b0d0"},"schema_version":"1.0","source":{"id":"1401.5466","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5466","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5466v3","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5466","created_at":"2026-05-18T01:45:18Z"},{"alias_kind":"pith_short_12","alias_value":"QQR5LDUYVMZ3","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QQR5LDUYVMZ3KXO4","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QQR5LDUY","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:8e18296d154b077a4766c8684a1572af697521eda88ec2e5c67f4732648f0b38","target":"graph","created_at":"2026-05-18T01:45:18Z","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":"This year marks the 100th anniversary of the birth of Yakov Zel'dovich. Amongst his many legacies is the Zel'dovich approximation for the growth of large-scale structure, which remains one of the most successful and insightful analytic models of structure formation. We use the Zel'dovich approximation to compute the two-point function of the matter and biased tracers, and compare to the results of N-body simulations and other Lagrangian perturbation theories. We show that Lagrangian perturbation theories converge well and that the Zel'dovich approximation provides a good fit to the N-body resu","authors_text":"Martin White","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-21T21:00:05Z","title":"The Zeldovich approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5466","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":"sha256:9236a3a020368dc5d46b8f65e1349aa01a3554d59d38a7429cb145e94e9347bf","target":"record","created_at":"2026-05-18T01:45:18Z","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":"ee0bb2053e827517128ab66a67703db9d08b341d999dd06d1ad0a4dd98696c9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-01-21T21:00:05Z","title_canon_sha256":"f3fe063923331f75a53a7ac85f8fb8c111c66e8c5fae53e932f7eff1f235b0d0"},"schema_version":"1.0","source":{"id":"1401.5466","kind":"arxiv","version":3}},"canonical_sha256":"8423d58e98ab33b55ddcacd03d3bcad2e8afc82d4084b469bc27996f5bc71090","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8423d58e98ab33b55ddcacd03d3bcad2e8afc82d4084b469bc27996f5bc71090","first_computed_at":"2026-05-18T01:45:18.278166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:18.278166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G+k/z/BpcKOuhGteQ10RHqBj0MWDIfFvISTxLKPnWPNtVRANah6VIZCjb4H+6aEZD2QoQx53b29wrHqCtXpsBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:18.278600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5466","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9236a3a020368dc5d46b8f65e1349aa01a3554d59d38a7429cb145e94e9347bf","sha256:8e18296d154b077a4766c8684a1572af697521eda88ec2e5c67f4732648f0b38"],"state_sha256":"6074d137cd0b7d02ef48357bb754339b8f8bc5ab2e6149a331735e98305ccc15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ao+gNjKp6DcTFRUnPwJz/iVSJmUWMXILlg1N3LLJ17XhKpOcRKQvQqhQ6ROXB85GXB0C7l+TXx9wb7jtkPiPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T19:30:58.721798Z","bundle_sha256":"792a820fe9dcf50e21ec8fe04e100df9e662aa82b141b3485ac2b18dc54bc315"}}