{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:E4HBX3TDCQ5BB4KGJ7MEQA5V6D","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":"c0d2ed67e4f0f7f9804e25ffc35fc2aec72ed31852718812d7f6db9e946b2e0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-08T08:22:52Z","title_canon_sha256":"561ac3b2733feffa9b5d0a1342bb3ecdcae353adb8fb0473af9d6f29fca1bca9"},"schema_version":"1.0","source":{"id":"2505.05039","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.05039","created_at":"2026-07-05T11:27:29Z"},{"alias_kind":"arxiv_version","alias_value":"2505.05039v2","created_at":"2026-07-05T11:27:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.05039","created_at":"2026-07-05T11:27:29Z"},{"alias_kind":"pith_short_12","alias_value":"E4HBX3TDCQ5B","created_at":"2026-07-05T11:27:29Z"},{"alias_kind":"pith_short_16","alias_value":"E4HBX3TDCQ5BB4KG","created_at":"2026-07-05T11:27:29Z"},{"alias_kind":"pith_short_8","alias_value":"E4HBX3TD","created_at":"2026-07-05T11:27:29Z"}],"graph_snapshots":[{"event_id":"sha256:65866ab2588ef8bbc51fa52bceb74ff074edf4d7045e6959030f6cc607cb8ad7","target":"graph","created_at":"2026-07-05T11:27:29Z","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/2505.05039/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study in detail the internal structure of rotationally invariant higher-charge Abelian-Higgs vortices. The symmetry of the normal modes close to the critical regime for type II vortices determines the possible disintegration channels. The full internal mode structure is discussed, finding modes that conserve the vortex symmetry (Derrick type modes) and modes whose symmetry differs (multipolar modes).","authors_text":"A. Alonso-Izquierdo, D. Migu\\'elez-Caballero, J. Queiruga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-08T08:22:52Z","title":"Spectral structure of fluctuations around $n$-vortices in the Abelian-Higgs model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.05039","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":"sha256:39322b45dae4528dba81156287d6886e166316b22087967113694cb1c3835594","target":"record","created_at":"2026-07-05T11:27:29Z","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":"c0d2ed67e4f0f7f9804e25ffc35fc2aec72ed31852718812d7f6db9e946b2e0f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-08T08:22:52Z","title_canon_sha256":"561ac3b2733feffa9b5d0a1342bb3ecdcae353adb8fb0473af9d6f29fca1bca9"},"schema_version":"1.0","source":{"id":"2505.05039","kind":"arxiv","version":2}},"canonical_sha256":"270e1bee63143a10f1464fd84803b5f0f165082e44611baaa67d535fdc3249e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"270e1bee63143a10f1464fd84803b5f0f165082e44611baaa67d535fdc3249e8","first_computed_at":"2026-07-05T11:27:29.837020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:29.837020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nPvbo4B8iAdVtezvYAEGEtI8Ubb1D1aS+LgH56I1wCMjW2L2sHiyjfRQt741j2n29zfRluWsNILEs9iGMZBeAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:29.837529Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.05039","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39322b45dae4528dba81156287d6886e166316b22087967113694cb1c3835594","sha256:65866ab2588ef8bbc51fa52bceb74ff074edf4d7045e6959030f6cc607cb8ad7"],"state_sha256":"495b9436bfc906ecac2e1202f3b7745e9b198ac87c09661827772b5641a00ed5"}