{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AZUIF5VG4AXDINFP4N6E7IYX5W","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":"522bc99dcb87a63b263852457dc2a12222222a98ee09f3028b98ddc4c0755ab6","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-04-19T07:13:32Z","title_canon_sha256":"009bfc088025f8b1198b5df00a68a50819acdfd8732cdc67b595db4a2499a563"},"schema_version":"1.0","source":{"id":"1604.05450","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05450","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05450v3","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05450","created_at":"2026-05-18T00:55:46Z"},{"alias_kind":"pith_short_12","alias_value":"AZUIF5VG4AXD","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AZUIF5VG4AXDINFP","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AZUIF5VG","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:22b89c0894949ab4a359858a792f8835727c8b436e7cb90ee4477e19105feedd","target":"graph","created_at":"2026-05-18T00:55:46Z","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":"Recent ALMA observation has revealed multiple ring structures formed in a protoplanetary disk around HL Tau. Prior to the ALMA observation of HL Tau, theoretical analysis of secular gravitational instability (GI) described a possible formation of multiple ring structures with separations of 13 AU around a radius of 100 AU in protoplanetary disks under certain conditions. In this article, we reanalyze the viability of secular GI by adopting the physical values inferred from the observations. We derive the radial distributions of the most unstable wavelength and the growth timescale of secular G","authors_text":"Sanemichi Z. Takahashi, Shu-ichiro Inutsuka","cross_cats":["astro-ph.EP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-04-19T07:13:32Z","title":"An Origin of Multiple Ring Structure and Hidden Planets in HL Tau: A Unified Picture by Secular Gravitational Instability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05450","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":"sha256:801adacd9b04dbf5ecf1a90525eb349720d7ba1b2ac14d660bc56714a4eb77bb","target":"record","created_at":"2026-05-18T00:55:46Z","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":"522bc99dcb87a63b263852457dc2a12222222a98ee09f3028b98ddc4c0755ab6","cross_cats_sorted":["astro-ph.EP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-04-19T07:13:32Z","title_canon_sha256":"009bfc088025f8b1198b5df00a68a50819acdfd8732cdc67b595db4a2499a563"},"schema_version":"1.0","source":{"id":"1604.05450","kind":"arxiv","version":3}},"canonical_sha256":"066882f6a6e02e3434afe37c4fa317ed92168aac0c79db35f5778373c5086421","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"066882f6a6e02e3434afe37c4fa317ed92168aac0c79db35f5778373c5086421","first_computed_at":"2026-05-18T00:55:46.602022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:46.602022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"izZJn2jWOolIk5Fq2gwJnMqPsic5bpBSTm40DHtIk7oBbBbZ2JoVJqob5OWSNisi0gzoAXqOoahvbc4nzkTkAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:46.602719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05450","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:801adacd9b04dbf5ecf1a90525eb349720d7ba1b2ac14d660bc56714a4eb77bb","sha256:22b89c0894949ab4a359858a792f8835727c8b436e7cb90ee4477e19105feedd"],"state_sha256":"4d6392ee5195c736cee3098982c03c2d5251f704dd813f44badbe297b572d26f"}