{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HVGKYUN3ATDIMAFIFXTGKKPMD2","short_pith_number":"pith:HVGKYUN3","canonical_record":{"source":{"id":"1303.2748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-12T02:11:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f5a05e73eab3962fb869de5cbb55b9c09f9a2f2ec24cb74eb19a9edaab2088f4","abstract_canon_sha256":"fd2808f8058b52bdae41efe31ba3b0518886a47197ef0bc4fe9486cd06187ec2"},"schema_version":"1.0"},"canonical_sha256":"3d4cac51bb04c68600a82de66529ec1ea926f7b29fc81e0424811f925745cff3","source":{"kind":"arxiv","id":"1303.2748","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2748","created_at":"2026-05-18T01:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2748v2","created_at":"2026-05-18T01:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2748","created_at":"2026-05-18T01:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"HVGKYUN3ATDI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HVGKYUN3ATDIMAFI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HVGKYUN3","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HVGKYUN3ATDIMAFIFXTGKKPMD2","target":"record","payload":{"canonical_record":{"source":{"id":"1303.2748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-12T02:11:29Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f5a05e73eab3962fb869de5cbb55b9c09f9a2f2ec24cb74eb19a9edaab2088f4","abstract_canon_sha256":"fd2808f8058b52bdae41efe31ba3b0518886a47197ef0bc4fe9486cd06187ec2"},"schema_version":"1.0"},"canonical_sha256":"3d4cac51bb04c68600a82de66529ec1ea926f7b29fc81e0424811f925745cff3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:08.444005Z","signature_b64":"NweZeHoUvGjdZoe5viqsgtOSNrcfLXjZZzwYZ91IZjxjmaq7idKxgjc3l0pdT8qWMPut6NUUNQPVI6v+TcINAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d4cac51bb04c68600a82de66529ec1ea926f7b29fc81e0424811f925745cff3","last_reissued_at":"2026-05-18T01:51:08.443308Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:08.443308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.2748","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":"2026-05-18T01:51:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGliOd4E2V8TypV6yGPz89JHE2OKvlm+kTQy4ZWZoTb6cUbbOXOxfK4yxm/NXjCGT8dp6tXjpZ+kqOSKLAnjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T13:13:15.975222Z"},"content_sha256":"b2840acb6c2e2dd9f706ef1df29bf7f471d1c5f330f6b344ca9c6bb170ed3d25","schema_version":"1.0","event_id":"sha256:b2840acb6c2e2dd9f706ef1df29bf7f471d1c5f330f6b344ca9c6bb170ed3d25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HVGKYUN3ATDIMAFIFXTGKKPMD2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relation between standard perturbation theory and regularized multi-point propagator method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Naonori S. Sugiyama, Toshifumi Futamase","submitted_at":"2013-03-12T02:11:29Z","abstract_excerpt":"We investigate the relation between the regularized multi-propagator method, called \"Reg PT\", and the standard perturbation theory. Reg PT is one of the most successful models to describe nonlinear evolution of dark matter fluctuations. However, Reg PT is a mathematically unproven interpolation formula between the large-scale solution calculated by the standard perturbation theory and the limiting solution in the small scale calculated by the multi-point propagator method. In this paper, we give an alternative explanation for Reg PT in the context of the standard perturbation theory, showing t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2748","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":"2026-05-18T01:51:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3YWoR0GVf83ejaR91twB40JBN/YgpYjuSyUlrr8ehxeiRZ3RZC4yU/J8Jq+nfVBO+GA++9jFKOkHGRcy74ADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T13:13:15.975706Z"},"content_sha256":"d2a46655ba4bc4f92ea9b86ec9bfed39bdde183dc29e3bb23bc2dc49bdd302f7","schema_version":"1.0","event_id":"sha256:d2a46655ba4bc4f92ea9b86ec9bfed39bdde183dc29e3bb23bc2dc49bdd302f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2/bundle.json","state_url":"https://pith.science/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2/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":"2026-08-19T13:13:15Z","links":{"resolver":"https://pith.science/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2","bundle":"https://pith.science/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2/bundle.json","state":"https://pith.science/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVGKYUN3ATDIMAFIFXTGKKPMD2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HVGKYUN3ATDIMAFIFXTGKKPMD2","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":"fd2808f8058b52bdae41efe31ba3b0518886a47197ef0bc4fe9486cd06187ec2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-12T02:11:29Z","title_canon_sha256":"f5a05e73eab3962fb869de5cbb55b9c09f9a2f2ec24cb74eb19a9edaab2088f4"},"schema_version":"1.0","source":{"id":"1303.2748","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.2748","created_at":"2026-05-18T01:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.2748v2","created_at":"2026-05-18T01:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.2748","created_at":"2026-05-18T01:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"HVGKYUN3ATDI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HVGKYUN3ATDIMAFI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HVGKYUN3","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:d2a46655ba4bc4f92ea9b86ec9bfed39bdde183dc29e3bb23bc2dc49bdd302f7","target":"graph","created_at":"2026-05-18T01:51:08Z","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 investigate the relation between the regularized multi-propagator method, called \"Reg PT\", and the standard perturbation theory. Reg PT is one of the most successful models to describe nonlinear evolution of dark matter fluctuations. However, Reg PT is a mathematically unproven interpolation formula between the large-scale solution calculated by the standard perturbation theory and the limiting solution in the small scale calculated by the multi-point propagator method. In this paper, we give an alternative explanation for Reg PT in the context of the standard perturbation theory, showing t","authors_text":"Naonori S. Sugiyama, Toshifumi Futamase","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-12T02:11:29Z","title":"Relation between standard perturbation theory and regularized multi-point propagator method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2748","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:b2840acb6c2e2dd9f706ef1df29bf7f471d1c5f330f6b344ca9c6bb170ed3d25","target":"record","created_at":"2026-05-18T01:51:08Z","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":"fd2808f8058b52bdae41efe31ba3b0518886a47197ef0bc4fe9486cd06187ec2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-12T02:11:29Z","title_canon_sha256":"f5a05e73eab3962fb869de5cbb55b9c09f9a2f2ec24cb74eb19a9edaab2088f4"},"schema_version":"1.0","source":{"id":"1303.2748","kind":"arxiv","version":2}},"canonical_sha256":"3d4cac51bb04c68600a82de66529ec1ea926f7b29fc81e0424811f925745cff3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d4cac51bb04c68600a82de66529ec1ea926f7b29fc81e0424811f925745cff3","first_computed_at":"2026-05-18T01:51:08.443308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:08.443308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NweZeHoUvGjdZoe5viqsgtOSNrcfLXjZZzwYZ91IZjxjmaq7idKxgjc3l0pdT8qWMPut6NUUNQPVI6v+TcINAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:08.444005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.2748","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2840acb6c2e2dd9f706ef1df29bf7f471d1c5f330f6b344ca9c6bb170ed3d25","sha256:d2a46655ba4bc4f92ea9b86ec9bfed39bdde183dc29e3bb23bc2dc49bdd302f7"],"state_sha256":"14f6577f95fd8c157d9083c490b2aac043866cd18b735d1aad67813e37afa30f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/nV0eCoLCaknT4cCAlRp7NOhb0/o7qyXVjlxQySTkMLzqml2CnxvZcrNCwBBoqR6hOVu9MtU+k8Yf6GPkpADw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T13:13:15.980802Z","bundle_sha256":"d8c1ad5fea4d01390cc7dc97c461ff56cb2594d87f1b5937c45337e3edfac1b7"}}