{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2P5NJBXDFN374DEFWDU7VDXMML","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":"58bc712ec68e106d6c052e72bc025aea58b7367ab5fa7514668117693cb74736","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-02T21:37:57Z","title_canon_sha256":"dea2df180fb9ae065529ba32b46ce771451cb524b087f618a3b049a42a7c0872"},"schema_version":"1.0","source":{"id":"2506.02278","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.02278","created_at":"2026-07-05T11:14:35Z"},{"alias_kind":"arxiv_version","alias_value":"2506.02278v1","created_at":"2026-07-05T11:14:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.02278","created_at":"2026-07-05T11:14:35Z"},{"alias_kind":"pith_short_12","alias_value":"2P5NJBXDFN37","created_at":"2026-07-05T11:14:35Z"},{"alias_kind":"pith_short_16","alias_value":"2P5NJBXDFN374DEF","created_at":"2026-07-05T11:14:35Z"},{"alias_kind":"pith_short_8","alias_value":"2P5NJBXD","created_at":"2026-07-05T11:14:35Z"}],"graph_snapshots":[{"event_id":"sha256:3ad2455e6f7f3a8e511904b5db28c5ca0041dfd9f80b1152b61bbb7bc2887976","target":"graph","created_at":"2026-07-05T11:14:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.02278/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumptions on the strain-energy function. Our framework includes both global-in-time solutions which expand and also solutions which collapse to a point in finite time. Other authors have constructed expanding solutions in similar settings, but to the best of our knowledge, the collapsing solutions we construct are completely new.","authors_text":"Juhi Jang, Trevor M. Leslie","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-02T21:37:57Z","title":"Separable motions for self-gravitating hyperelastic matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02278","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:b45dc5ca7c69dae3199b8a1c42bbf27d9eac4738965b2b8ebe8c32f2f51a8617","target":"record","created_at":"2026-07-05T11:14:35Z","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":"58bc712ec68e106d6c052e72bc025aea58b7367ab5fa7514668117693cb74736","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-02T21:37:57Z","title_canon_sha256":"dea2df180fb9ae065529ba32b46ce771451cb524b087f618a3b049a42a7c0872"},"schema_version":"1.0","source":{"id":"2506.02278","kind":"arxiv","version":1}},"canonical_sha256":"d3fad486e32b77fe0c85b0e9fa8eec62dc49f2cc780d6add35842a92b187474a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3fad486e32b77fe0c85b0e9fa8eec62dc49f2cc780d6add35842a92b187474a","first_computed_at":"2026-07-05T11:14:35.693775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:35.693775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"52VC1PMsS8Ujyfh0Ma1M8T0ps8axvz1dyiZC7+7OWNYckEh8Efori5vznDjQPvFl3NOSM8HGYPyumvIjijBYDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:35.694252Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.02278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b45dc5ca7c69dae3199b8a1c42bbf27d9eac4738965b2b8ebe8c32f2f51a8617","sha256:3ad2455e6f7f3a8e511904b5db28c5ca0041dfd9f80b1152b61bbb7bc2887976"],"state_sha256":"821c0901b49f50cc5413ddf771fe9fa0d479c2b492bbe574aacee5b21d5095e9"}