{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5CGVHX4DCVEUIS4XDH2OY7K2HT","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":"165f7ebec1e4c884ea26faf46ddfc72d81ecc43726e34f75b4d9f307e5777883","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-16T12:34:00Z","title_canon_sha256":"e9dfbec3e20d87f910138969e582cf68d7165f346952aad1117774455c7d0545"},"schema_version":"1.0","source":{"id":"2101.06442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.06442","created_at":"2026-07-05T02:27:38Z"},{"alias_kind":"arxiv_version","alias_value":"2101.06442v1","created_at":"2026-07-05T02:27:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.06442","created_at":"2026-07-05T02:27:38Z"},{"alias_kind":"pith_short_12","alias_value":"5CGVHX4DCVEU","created_at":"2026-07-05T02:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"5CGVHX4DCVEUIS4X","created_at":"2026-07-05T02:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"5CGVHX4D","created_at":"2026-07-05T02:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:391fb6d02cea4dfdb3927442e4f0f6d5e14bfc6422017760014d3e3e1fa5391b","target":"graph","created_at":"2026-07-05T02:27:38Z","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/2101.06442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study axially symmetric multi-soliton solutions of a complex scalar field theory with a sextic potential, minimally coupled to Einstein's gravity. These solutions carry no angular momentum and can be classified by the number of nodes of the scalar field, $k_z$, along the symmetry axis; they are interpreted as chains with $k_z+1$ boson stars, bound by gravity, but kept apart by repulsive scalar interactions. Chains with an odd number of constituents show a spiraling behavior for their ADM mass (and Noether charge) in terms of their angular frequency, similarly to a single fundamental boson s","authors_text":"C. A. R. Herdeiro, E. Radu, I. Perapechka, J. Kunz, Y. Shnir","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-16T12:34:00Z","title":"Chains of Boson Stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.06442","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":"sha256:4ced6d66cdfc5506c71d5fa684d63371da5b6fc798e97643c5304b3b03d9fe50","target":"record","created_at":"2026-07-05T02:27:38Z","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":"165f7ebec1e4c884ea26faf46ddfc72d81ecc43726e34f75b4d9f307e5777883","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-16T12:34:00Z","title_canon_sha256":"e9dfbec3e20d87f910138969e582cf68d7165f346952aad1117774455c7d0545"},"schema_version":"1.0","source":{"id":"2101.06442","kind":"arxiv","version":1}},"canonical_sha256":"e88d53df831549444b9719f4ec7d5a3ce8eaa79993db603c16b8ba7c14baba51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e88d53df831549444b9719f4ec7d5a3ce8eaa79993db603c16b8ba7c14baba51","first_computed_at":"2026-07-05T02:27:38.368683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:27:38.368683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KTEjrEr5N1HAVkolRKaf+8KirhNh6I3uHZrQA9+yuZ2FtotiG8MtFn0cEpNptixX9XRYsRxvLf/s7O4JSUNnAg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:27:38.369121Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.06442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ced6d66cdfc5506c71d5fa684d63371da5b6fc798e97643c5304b3b03d9fe50","sha256:391fb6d02cea4dfdb3927442e4f0f6d5e14bfc6422017760014d3e3e1fa5391b"],"state_sha256":"b0a7c0514b7b291a3e80b1828d68d38147576f59d9f939afe9acf9b4e2d96edd"}