{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OA7QD7F6T22FXKESPJD3TCKEMJ","short_pith_number":"pith:OA7QD7F6","canonical_record":{"source":{"id":"1509.06632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T15:07:53Z","cross_cats_sorted":[],"title_canon_sha256":"3dcbcca6f1447f82c8be595180d152006a3da9eac345d95158b3e16db9de28cd","abstract_canon_sha256":"4ca70e2b2a1fa021c47f183d6d66a5d403bc1c90c20c384693315dde7ab6fce4"},"schema_version":"1.0"},"canonical_sha256":"703f01fcbe9eb45ba8927a47b989446249b671e1274a0680a35feef1955b26a4","source":{"kind":"arxiv","id":"1509.06632","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06632","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06632v2","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06632","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"pith_short_12","alias_value":"OA7QD7F6T22F","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OA7QD7F6T22FXKES","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OA7QD7F6","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OA7QD7F6T22FXKESPJD3TCKEMJ","target":"record","payload":{"canonical_record":{"source":{"id":"1509.06632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T15:07:53Z","cross_cats_sorted":[],"title_canon_sha256":"3dcbcca6f1447f82c8be595180d152006a3da9eac345d95158b3e16db9de28cd","abstract_canon_sha256":"4ca70e2b2a1fa021c47f183d6d66a5d403bc1c90c20c384693315dde7ab6fce4"},"schema_version":"1.0"},"canonical_sha256":"703f01fcbe9eb45ba8927a47b989446249b671e1274a0680a35feef1955b26a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:53.592508Z","signature_b64":"t5u1ZNIewD0RbMdrarVfNejhNIvI6BbWzTxuj+boZaB8x938tquZx0ocECfwrJtV3HZDQGkcykY8EUj2ukRbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"703f01fcbe9eb45ba8927a47b989446249b671e1274a0680a35feef1955b26a4","last_reissued_at":"2026-05-18T01:19:53.591946Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:53.591946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.06632","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHxndr2TjDfsRruVE7EpJN73ScsmKKyBeUy7oPTUbwF0asRNkv0kdLAg5kZxWReLLZlUXFMEcraN88Dg9jxnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:00:38.949802Z"},"content_sha256":"207621a99c2a2ebdc24be22818138eccee80ca1750d10e2821475e6e05033d06","schema_version":"1.0","event_id":"sha256:207621a99c2a2ebdc24be22818138eccee80ca1750d10e2821475e6e05033d06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OA7QD7F6T22FXKESPJD3TCKEMJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on BPS vortex bound states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Alonso-Izquierdo, J. Mateos Guilarte, W. Garcia Fuertes","submitted_at":"2015-09-22T15:07:53Z","abstract_excerpt":"In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analysing the spectrum of the second-order fluctuation operator when the Higgs and vector boson masses are equal. A few of these bound states with low values of quantized magnetic flux are described fully, and their main properties are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06632","kind":"arxiv","version":2},"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":"2026-05-18T01:19:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+RWJx7vmiIz8BGCuOKKn7Lmjdqe4+J3WS4yXuE7DVV1BG7s22p0t07CXFijc65KqnHpoha87BoUyBJv2ccLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:00:38.950472Z"},"content_sha256":"4bf80b94b151d4a40c2c4f246f563ff149812862f76cfd2da478ed5de5200e19","schema_version":"1.0","event_id":"sha256:4bf80b94b151d4a40c2c4f246f563ff149812862f76cfd2da478ed5de5200e19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OA7QD7F6T22FXKESPJD3TCKEMJ/bundle.json","state_url":"https://pith.science/pith/OA7QD7F6T22FXKESPJD3TCKEMJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OA7QD7F6T22FXKESPJD3TCKEMJ/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":"2026-05-26T11:00:38Z","links":{"resolver":"https://pith.science/pith/OA7QD7F6T22FXKESPJD3TCKEMJ","bundle":"https://pith.science/pith/OA7QD7F6T22FXKESPJD3TCKEMJ/bundle.json","state":"https://pith.science/pith/OA7QD7F6T22FXKESPJD3TCKEMJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OA7QD7F6T22FXKESPJD3TCKEMJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OA7QD7F6T22FXKESPJD3TCKEMJ","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":"4ca70e2b2a1fa021c47f183d6d66a5d403bc1c90c20c384693315dde7ab6fce4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T15:07:53Z","title_canon_sha256":"3dcbcca6f1447f82c8be595180d152006a3da9eac345d95158b3e16db9de28cd"},"schema_version":"1.0","source":{"id":"1509.06632","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06632","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06632v2","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06632","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"pith_short_12","alias_value":"OA7QD7F6T22F","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OA7QD7F6T22FXKES","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OA7QD7F6","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:4bf80b94b151d4a40c2c4f246f563ff149812862f76cfd2da478ed5de5200e19","target":"graph","created_at":"2026-05-18T01:19:53Z","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":"In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analysing the spectrum of the second-order fluctuation operator when the Higgs and vector boson masses are equal. A few of these bound states with low values of quantized magnetic flux are described fully, and their main properties are discussed.","authors_text":"A. Alonso-Izquierdo, J. Mateos Guilarte, W. Garcia Fuertes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T15:07:53Z","title":"A note on BPS vortex bound states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06632","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":"sha256:207621a99c2a2ebdc24be22818138eccee80ca1750d10e2821475e6e05033d06","target":"record","created_at":"2026-05-18T01:19:53Z","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":"4ca70e2b2a1fa021c47f183d6d66a5d403bc1c90c20c384693315dde7ab6fce4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-22T15:07:53Z","title_canon_sha256":"3dcbcca6f1447f82c8be595180d152006a3da9eac345d95158b3e16db9de28cd"},"schema_version":"1.0","source":{"id":"1509.06632","kind":"arxiv","version":2}},"canonical_sha256":"703f01fcbe9eb45ba8927a47b989446249b671e1274a0680a35feef1955b26a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"703f01fcbe9eb45ba8927a47b989446249b671e1274a0680a35feef1955b26a4","first_computed_at":"2026-05-18T01:19:53.591946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:53.591946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t5u1ZNIewD0RbMdrarVfNejhNIvI6BbWzTxuj+boZaB8x938tquZx0ocECfwrJtV3HZDQGkcykY8EUj2ukRbCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:53.592508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06632","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:207621a99c2a2ebdc24be22818138eccee80ca1750d10e2821475e6e05033d06","sha256:4bf80b94b151d4a40c2c4f246f563ff149812862f76cfd2da478ed5de5200e19"],"state_sha256":"f395164f13b824f701b7090147b05097b363230598109c6ad9d73456e13779dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kB77/yIRfeh/M+qSFmQMqgEuIM8W/i6VqAZYtoIXACiDnkBkIw2dX1sN04/YauVOKQ7t0kgnA/XwnSbuXh3uCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:00:38.954177Z","bundle_sha256":"227c097f09a423655da9d24f274f655f7a5150c0b9375eb3232388d516904c39"}}