{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:73PJPHPXI33XWC7GPA4MFJELP7","short_pith_number":"pith:73PJPHPX","canonical_record":{"source":{"id":"1112.3463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-12-15T09:47:01Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"7540464e69f906cde332b8aa355b0ad8dc9541b473f703b3e318546b24d2a7d1","abstract_canon_sha256":"cbd32113f191b75c3628f0f93267f4534c09d196ce7ea6e106814adcc8192a22"},"schema_version":"1.0"},"canonical_sha256":"fede979df746f77b0be67838c2a48b7fe496ebaa81191b2104ff8325473bdc39","source":{"kind":"arxiv","id":"1112.3463","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3463","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3463v2","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3463","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"73PJPHPXI33X","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"73PJPHPXI33XWC7G","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"73PJPHPX","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:73PJPHPXI33XWC7GPA4MFJELP7","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-12-15T09:47:01Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"7540464e69f906cde332b8aa355b0ad8dc9541b473f703b3e318546b24d2a7d1","abstract_canon_sha256":"cbd32113f191b75c3628f0f93267f4534c09d196ce7ea6e106814adcc8192a22"},"schema_version":"1.0"},"canonical_sha256":"fede979df746f77b0be67838c2a48b7fe496ebaa81191b2104ff8325473bdc39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:09.442496Z","signature_b64":"F/4cQ3sW3WM54V7KfDK5x0Cfxz3Ma27cmM30GRi1/cGvGDWP8jMwkcvy5jHp/hsjY7ay/Nrf/ccrkxcUCQtyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fede979df746f77b0be67838c2a48b7fe496ebaa81191b2104ff8325473bdc39","last_reissued_at":"2026-05-18T01:59:09.441832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:09.441832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3463","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":"2026-05-18T01:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZkUhzqxzoXMSPNltRJnQGDCD5HtiTYeg00lc7QyI+lujVUikBlm0U4mixdZmuoUETKSakQ8YAE6+VLGk+XpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:55:38.115579Z"},"content_sha256":"0b978b617203f77ba1ad5deb8c4447d4994f42d3f8fb660b23d9a5ef57f8df90","schema_version":"1.0","event_id":"sha256:0b978b617203f77ba1ad5deb8c4447d4994f42d3f8fb660b23d9a5ef57f8df90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:73PJPHPXI33XWC7GPA4MFJELP7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"He$_2^{3+}$ and HeH$^{2+}$ molecular ions in a strong magnetic field: the Lagrange mesh approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"astro-ph.HE","authors_text":"Horacio Olivares Pil\\'on","submitted_at":"2011-12-15T09:47:01Z","abstract_excerpt":"Accurate calculations for the ground state of the molecular ions He$_2^{3+}$ and HeH$^{2+}$ placed in a strong magnetic field $B\\gtrsim 10^{2}$ a.u. ($\\approx 2.35 \\times 10^{11}$G) using the Lagrange-mesh method are presented. The Born-Oppenheimer approximation of zero order (infinitely massive centers) and the parallel configuration (molecular axis parallel to the magnetic field) are considered. Total energies are found with 9-10 s.d. The obtained results show that the molecular ions He$_2^{3+}$ and HeH$^{2+}$ exist at $B > 100$\\,a.u. and $B > 1000$\\,a.u., respectively, as predicted in \\cite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3463","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":"2026-05-18T01:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Rmqnj43oXnYhDdBhMXpwvT2vOc90Hccg+MWqsGafRxKbxMIplncDkOsMBa+YOBPPjeX2g+kUYcZovTVmgMuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:55:38.116172Z"},"content_sha256":"da487c3611c6ad00641e58fb7dec12a14b7ce6b10baece7d5e9beb3663d6ad97","schema_version":"1.0","event_id":"sha256:da487c3611c6ad00641e58fb7dec12a14b7ce6b10baece7d5e9beb3663d6ad97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73PJPHPXI33XWC7GPA4MFJELP7/bundle.json","state_url":"https://pith.science/pith/73PJPHPXI33XWC7GPA4MFJELP7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73PJPHPXI33XWC7GPA4MFJELP7/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":"2026-06-06T18:55:38Z","links":{"resolver":"https://pith.science/pith/73PJPHPXI33XWC7GPA4MFJELP7","bundle":"https://pith.science/pith/73PJPHPXI33XWC7GPA4MFJELP7/bundle.json","state":"https://pith.science/pith/73PJPHPXI33XWC7GPA4MFJELP7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73PJPHPXI33XWC7GPA4MFJELP7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:73PJPHPXI33XWC7GPA4MFJELP7","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":"cbd32113f191b75c3628f0f93267f4534c09d196ce7ea6e106814adcc8192a22","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-12-15T09:47:01Z","title_canon_sha256":"7540464e69f906cde332b8aa355b0ad8dc9541b473f703b3e318546b24d2a7d1"},"schema_version":"1.0","source":{"id":"1112.3463","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3463","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3463v2","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3463","created_at":"2026-05-18T01:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"73PJPHPXI33X","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"73PJPHPXI33XWC7G","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"73PJPHPX","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:da487c3611c6ad00641e58fb7dec12a14b7ce6b10baece7d5e9beb3663d6ad97","target":"graph","created_at":"2026-05-18T01:59:09Z","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":"Accurate calculations for the ground state of the molecular ions He$_2^{3+}$ and HeH$^{2+}$ placed in a strong magnetic field $B\\gtrsim 10^{2}$ a.u. ($\\approx 2.35 \\times 10^{11}$G) using the Lagrange-mesh method are presented. The Born-Oppenheimer approximation of zero order (infinitely massive centers) and the parallel configuration (molecular axis parallel to the magnetic field) are considered. Total energies are found with 9-10 s.d. The obtained results show that the molecular ions He$_2^{3+}$ and HeH$^{2+}$ exist at $B > 100$\\,a.u. and $B > 1000$\\,a.u., respectively, as predicted in \\cite","authors_text":"Horacio Olivares Pil\\'on","cross_cats":["physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-12-15T09:47:01Z","title":"He$_2^{3+}$ and HeH$^{2+}$ molecular ions in a strong magnetic field: the Lagrange mesh approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3463","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":"sha256:0b978b617203f77ba1ad5deb8c4447d4994f42d3f8fb660b23d9a5ef57f8df90","target":"record","created_at":"2026-05-18T01:59:09Z","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":"cbd32113f191b75c3628f0f93267f4534c09d196ce7ea6e106814adcc8192a22","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2011-12-15T09:47:01Z","title_canon_sha256":"7540464e69f906cde332b8aa355b0ad8dc9541b473f703b3e318546b24d2a7d1"},"schema_version":"1.0","source":{"id":"1112.3463","kind":"arxiv","version":2}},"canonical_sha256":"fede979df746f77b0be67838c2a48b7fe496ebaa81191b2104ff8325473bdc39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fede979df746f77b0be67838c2a48b7fe496ebaa81191b2104ff8325473bdc39","first_computed_at":"2026-05-18T01:59:09.441832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:09.441832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F/4cQ3sW3WM54V7KfDK5x0Cfxz3Ma27cmM30GRi1/cGvGDWP8jMwkcvy5jHp/hsjY7ay/Nrf/ccrkxcUCQtyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:09.442496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3463","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b978b617203f77ba1ad5deb8c4447d4994f42d3f8fb660b23d9a5ef57f8df90","sha256:da487c3611c6ad00641e58fb7dec12a14b7ce6b10baece7d5e9beb3663d6ad97"],"state_sha256":"19c22c27b1ebeedd090d46bcd0b3bb0dcd3a944833dbd3bd62044916d3524230"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eY+L/d/IxQM4k1ahhAsNB2LVl3yv4wr0bp68IaG41nZ+sdPTfEgqKDZrLgzQryOV7rHdAp180VrV1ZpC7n0oAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:55:38.118969Z","bundle_sha256":"47773a7d6ca70252ef7121f9e277acc77037f6a9dbfe990a8c640a7a8ab0e891"}}