{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6NN5FO2IYXOKMESK4OZVI5EMCS","short_pith_number":"pith:6NN5FO2I","canonical_record":{"source":{"id":"1111.6629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-28T21:57:32Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"ddfb76ac58c347d2977e016ddfb33aaeaf705e9a90c46a294d8efb3202e48220","abstract_canon_sha256":"e786784ffdf44876287c48ca7838f4e646d452504f5ab45db253a49633d564ad"},"schema_version":"1.0"},"canonical_sha256":"f35bd2bb48c5dca6124ae3b354748c14805c80567ae8b9130dc06c0a60fb5528","source":{"kind":"arxiv","id":"1111.6629","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6629","created_at":"2026-05-18T01:59:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6629v2","created_at":"2026-05-18T01:59:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6629","created_at":"2026-05-18T01:59:22Z"},{"alias_kind":"pith_short_12","alias_value":"6NN5FO2IYXOK","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6NN5FO2IYXOKMESK","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6NN5FO2I","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6NN5FO2IYXOKMESK4OZVI5EMCS","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-28T21:57:32Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"ddfb76ac58c347d2977e016ddfb33aaeaf705e9a90c46a294d8efb3202e48220","abstract_canon_sha256":"e786784ffdf44876287c48ca7838f4e646d452504f5ab45db253a49633d564ad"},"schema_version":"1.0"},"canonical_sha256":"f35bd2bb48c5dca6124ae3b354748c14805c80567ae8b9130dc06c0a60fb5528","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:22.520468Z","signature_b64":"CrEWLfs94DcGcRJ4dkB+3WAy/S3lxjhrcsP02IpO1l5xbaFfa4zuo9JXJByk55AIhDpxo5PRlVCGwyVXO099Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f35bd2bb48c5dca6124ae3b354748c14805c80567ae8b9130dc06c0a60fb5528","last_reissued_at":"2026-05-18T01:59:22.519805Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:22.519805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6629","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":"2026-05-18T01:59:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uc3RIA9MHOWERyt2i2XmIH8XzigMGgaeWZlNuBnMqH+6wNOAVhOBP3QoOJTSvkltapOgYnr1h1kQnaHcuspNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:34:07.841861Z"},"content_sha256":"3fa512ccafd6f1c68986b1e3a405bbbea9797a6e33f242ab6f994a3efd034af1","schema_version":"1.0","event_id":"sha256:3fa512ccafd6f1c68986b1e3a405bbbea9797a6e33f242ab6f994a3efd034af1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6NN5FO2IYXOKMESK4OZVI5EMCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimating cosmic velocity fields from density fields and tidal tensors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"astro-ph.CO","authors_text":"Francisco-Shu Kitaura, Raul E. Angulo, Stefan Gottl\"ober, Yehuda Hoffman","submitted_at":"2011-11-28T21:57:32Z","abstract_excerpt":"In this work we investigate the nonlinear and nonlocal relation between cosmological density and peculiar velocity fields. Our goal is to provide an algorithm for the recon- struction of the nonlinear velocity field from the fully nonlinear density. We find that including the gravitational tidal field tensor using second order Lagrangian perturba- tion theory (2LPT) based upon an estimate of the linear component of the nonlinear density field significantly improves the estimate of the cosmic flow in comparison to linear theory not only in the low density, but also and more dramatically in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6629","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":"2026-05-18T01:59:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5H4nUnUrfDJmD9GKE9RooMiMN6aHBAlhxvzhxHrOVz8NQ8QNqdi7ax64EYAJ5sA6R3nLc9F1aVMvjtfkIx41Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:34:07.842590Z"},"content_sha256":"173ce3ec2b446c32e539beb7358dad18c6f55862e12da09acf042396d606ba05","schema_version":"1.0","event_id":"sha256:173ce3ec2b446c32e539beb7358dad18c6f55862e12da09acf042396d606ba05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6NN5FO2IYXOKMESK4OZVI5EMCS/bundle.json","state_url":"https://pith.science/pith/6NN5FO2IYXOKMESK4OZVI5EMCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6NN5FO2IYXOKMESK4OZVI5EMCS/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":"2026-06-08T01:34:07Z","links":{"resolver":"https://pith.science/pith/6NN5FO2IYXOKMESK4OZVI5EMCS","bundle":"https://pith.science/pith/6NN5FO2IYXOKMESK4OZVI5EMCS/bundle.json","state":"https://pith.science/pith/6NN5FO2IYXOKMESK4OZVI5EMCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6NN5FO2IYXOKMESK4OZVI5EMCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6NN5FO2IYXOKMESK4OZVI5EMCS","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":"e786784ffdf44876287c48ca7838f4e646d452504f5ab45db253a49633d564ad","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-28T21:57:32Z","title_canon_sha256":"ddfb76ac58c347d2977e016ddfb33aaeaf705e9a90c46a294d8efb3202e48220"},"schema_version":"1.0","source":{"id":"1111.6629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6629","created_at":"2026-05-18T01:59:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6629v2","created_at":"2026-05-18T01:59:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6629","created_at":"2026-05-18T01:59:22Z"},{"alias_kind":"pith_short_12","alias_value":"6NN5FO2IYXOK","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6NN5FO2IYXOKMESK","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6NN5FO2I","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:173ce3ec2b446c32e539beb7358dad18c6f55862e12da09acf042396d606ba05","target":"graph","created_at":"2026-05-18T01:59:22Z","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 work we investigate the nonlinear and nonlocal relation between cosmological density and peculiar velocity fields. Our goal is to provide an algorithm for the recon- struction of the nonlinear velocity field from the fully nonlinear density. We find that including the gravitational tidal field tensor using second order Lagrangian perturba- tion theory (2LPT) based upon an estimate of the linear component of the nonlinear density field significantly improves the estimate of the cosmic flow in comparison to linear theory not only in the low density, but also and more dramatically in the ","authors_text":"Francisco-Shu Kitaura, Raul E. Angulo, Stefan Gottl\"ober, Yehuda Hoffman","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-28T21:57:32Z","title":"Estimating cosmic velocity fields from density fields and tidal tensors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6629","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":"sha256:3fa512ccafd6f1c68986b1e3a405bbbea9797a6e33f242ab6f994a3efd034af1","target":"record","created_at":"2026-05-18T01:59:22Z","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":"e786784ffdf44876287c48ca7838f4e646d452504f5ab45db253a49633d564ad","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-11-28T21:57:32Z","title_canon_sha256":"ddfb76ac58c347d2977e016ddfb33aaeaf705e9a90c46a294d8efb3202e48220"},"schema_version":"1.0","source":{"id":"1111.6629","kind":"arxiv","version":2}},"canonical_sha256":"f35bd2bb48c5dca6124ae3b354748c14805c80567ae8b9130dc06c0a60fb5528","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f35bd2bb48c5dca6124ae3b354748c14805c80567ae8b9130dc06c0a60fb5528","first_computed_at":"2026-05-18T01:59:22.519805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:22.519805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CrEWLfs94DcGcRJ4dkB+3WAy/S3lxjhrcsP02IpO1l5xbaFfa4zuo9JXJByk55AIhDpxo5PRlVCGwyVXO099Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:22.520468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fa512ccafd6f1c68986b1e3a405bbbea9797a6e33f242ab6f994a3efd034af1","sha256:173ce3ec2b446c32e539beb7358dad18c6f55862e12da09acf042396d606ba05"],"state_sha256":"07201af57aaa31368482ad53d46564428e5ebfcd190e4830fd5ce8717b74d29e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wai1oCh1fmV2WWfYuK3WDhn6sV+ojjSWeGUvzzvuY8FVOVmq+6Ur3TIJf9rY6tCJt/v32B0QMJPjaJVDJFnkAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:34:07.846555Z","bundle_sha256":"f07850df1c2639a02755ee272851c342f7d3062f3b218539254a434fa01ac49f"}}