{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:WZDOGFZE6XOXBQFSL624NXDBLA","short_pith_number":"pith:WZDOGFZE","canonical_record":{"source":{"id":"astro-ph/9610185","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-10-23T15:53:12Z","cross_cats_sorted":[],"title_canon_sha256":"550b7b9ac13698365e4c0ebb34309bb7a4797c3db3c0a319dd51db12ab7fab17","abstract_canon_sha256":"17c8924e99dc1ac9da28afe8cdc19fd10a8d67265bb19c985e4f1adb4e5e3634"},"schema_version":"1.0"},"canonical_sha256":"b646e31724f5dd70c0b25fb5c6dc61580f3ef609710c187a3785e4f03f78cf48","source":{"kind":"arxiv","id":"astro-ph/9610185","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9610185","created_at":"2026-05-18T01:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9610185v1","created_at":"2026-05-18T01:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9610185","created_at":"2026-05-18T01:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"WZDOGFZE6XOX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"WZDOGFZE6XOXBQFS","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"WZDOGFZE","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:WZDOGFZE6XOXBQFSL624NXDBLA","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9610185","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-10-23T15:53:12Z","cross_cats_sorted":[],"title_canon_sha256":"550b7b9ac13698365e4c0ebb34309bb7a4797c3db3c0a319dd51db12ab7fab17","abstract_canon_sha256":"17c8924e99dc1ac9da28afe8cdc19fd10a8d67265bb19c985e4f1adb4e5e3634"},"schema_version":"1.0"},"canonical_sha256":"b646e31724f5dd70c0b25fb5c6dc61580f3ef609710c187a3785e4f03f78cf48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:40.648726Z","signature_b64":"h4MtH9apC4gFjTIfWrV3hYBRrt8GM4Mw261xXkw+8piwWYfPWJ49dxJjZ8rAgzwCSj6Gcwns7AwbxAsqeqqwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b646e31724f5dd70c0b25fb5c6dc61580f3ef609710c187a3785e4f03f78cf48","last_reissued_at":"2026-05-18T01:07:40.648248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:40.648248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9610185","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":"2026-05-18T01:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eujPRU7IL3XwZwGiPC6LbmHwNS4F6xZKxxj9DCmcASFCIvFdq4pIkj24hFoEIfmOYccCDk/2jLi8heIlT+nRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:34:27.616757Z"},"content_sha256":"2d1d66414ce34cb4d86dca981cefe9f46ba32f76b18e5bb8850a91f3178ef531","schema_version":"1.0","event_id":"sha256:2d1d66414ce34cb4d86dca981cefe9f46ba32f76b18e5bb8850a91f3178ef531"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:WZDOGFZE6XOXBQFSL624NXDBLA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Jun'ichi Yokoyama, Masaru Siino, Naoki Seto, Takahiko Matsubara","submitted_at":"1996-10-23T15:53:12Z","abstract_excerpt":"Evolution of genus density is calculated from Gaussian initial conditions using Zel'dovich approximation. A new approach is introduced which formulates the desired quantity in a rotationally invariant manner. It is shown that normalized genus density does not depend on the initial spectral shape but is a function of the fluctuation amplitude only."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9610185","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":"2026-05-18T01:07:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yRR+X1D0Z8PDKd8hAJQfJD+WwP1IdTDfBdKt/L3PWi1TmMerLnWad4Cld/bsLz02Pl6BHbI/bInsOlKOON3/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:34:27.617461Z"},"content_sha256":"a292ea3d51e3c277f68929f68001ba06384214dc476cc311d49338e1c50b1eae","schema_version":"1.0","event_id":"sha256:a292ea3d51e3c277f68929f68001ba06384214dc476cc311d49338e1c50b1eae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZDOGFZE6XOXBQFSL624NXDBLA/bundle.json","state_url":"https://pith.science/pith/WZDOGFZE6XOXBQFSL624NXDBLA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZDOGFZE6XOXBQFSL624NXDBLA/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":"2026-05-26T00:34:27Z","links":{"resolver":"https://pith.science/pith/WZDOGFZE6XOXBQFSL624NXDBLA","bundle":"https://pith.science/pith/WZDOGFZE6XOXBQFSL624NXDBLA/bundle.json","state":"https://pith.science/pith/WZDOGFZE6XOXBQFSL624NXDBLA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZDOGFZE6XOXBQFSL624NXDBLA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:WZDOGFZE6XOXBQFSL624NXDBLA","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":"17c8924e99dc1ac9da28afe8cdc19fd10a8d67265bb19c985e4f1adb4e5e3634","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-10-23T15:53:12Z","title_canon_sha256":"550b7b9ac13698365e4c0ebb34309bb7a4797c3db3c0a319dd51db12ab7fab17"},"schema_version":"1.0","source":{"id":"astro-ph/9610185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9610185","created_at":"2026-05-18T01:07:40Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9610185v1","created_at":"2026-05-18T01:07:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9610185","created_at":"2026-05-18T01:07:40Z"},{"alias_kind":"pith_short_12","alias_value":"WZDOGFZE6XOX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"WZDOGFZE6XOXBQFS","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"WZDOGFZE","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:a292ea3d51e3c277f68929f68001ba06384214dc476cc311d49338e1c50b1eae","target":"graph","created_at":"2026-05-18T01:07:40Z","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":"Evolution of genus density is calculated from Gaussian initial conditions using Zel'dovich approximation. A new approach is introduced which formulates the desired quantity in a rotationally invariant manner. It is shown that normalized genus density does not depend on the initial spectral shape but is a function of the fluctuation amplitude only.","authors_text":"Jun'ichi Yokoyama, Masaru Siino, Naoki Seto, Takahiko Matsubara","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1996-10-23T15:53:12Z","title":"Nonlinear Evolution of the Genus Statistics with Zel'dovich Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9610185","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":"sha256:2d1d66414ce34cb4d86dca981cefe9f46ba32f76b18e5bb8850a91f3178ef531","target":"record","created_at":"2026-05-18T01:07:40Z","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":"17c8924e99dc1ac9da28afe8cdc19fd10a8d67265bb19c985e4f1adb4e5e3634","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-10-23T15:53:12Z","title_canon_sha256":"550b7b9ac13698365e4c0ebb34309bb7a4797c3db3c0a319dd51db12ab7fab17"},"schema_version":"1.0","source":{"id":"astro-ph/9610185","kind":"arxiv","version":1}},"canonical_sha256":"b646e31724f5dd70c0b25fb5c6dc61580f3ef609710c187a3785e4f03f78cf48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b646e31724f5dd70c0b25fb5c6dc61580f3ef609710c187a3785e4f03f78cf48","first_computed_at":"2026-05-18T01:07:40.648248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:40.648248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h4MtH9apC4gFjTIfWrV3hYBRrt8GM4Mw261xXkw+8piwWYfPWJ49dxJjZ8rAgzwCSj6Gcwns7AwbxAsqeqqwDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:40.648726Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9610185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d1d66414ce34cb4d86dca981cefe9f46ba32f76b18e5bb8850a91f3178ef531","sha256:a292ea3d51e3c277f68929f68001ba06384214dc476cc311d49338e1c50b1eae"],"state_sha256":"5b8ca72a4f7f9a3e807533c839d3e131f5a1fa8ea855f46ee281a9b99ea94b7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k1rSHByGZeDjT8wV8kr3pvoiz9NYReiSCIl1SWfHdXJba1B/1C0dviitbrwXXXYPqYu+E3VwfPPmkrKf1wwsBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:34:27.621327Z","bundle_sha256":"b32929f1b30e1039c84daaa7551550e69a91b3f848e40552ac578612bc41f090"}}