{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:C3H7QQJAL75J2QGL5K6GTBKNMX","short_pith_number":"pith:C3H7QQJA","canonical_record":{"source":{"id":"1107.6006","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2011-07-29T16:06:38Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"6bdbb59ed8a9fdaaf433f09cd06ed587da8619aa390a3e752d6d9b2c2293da7d","abstract_canon_sha256":"a525f7c69c31b6019a0ce08fa022835963ca48a1c2ed240549b32e8102695613"},"schema_version":"1.0"},"canonical_sha256":"16cff841205ffa9d40cbeabc69854d65da9eced19ea50d5101c9e397abab077b","source":{"kind":"arxiv","id":"1107.6006","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.6006","created_at":"2026-05-18T02:01:05Z"},{"alias_kind":"arxiv_version","alias_value":"1107.6006v2","created_at":"2026-05-18T02:01:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.6006","created_at":"2026-05-18T02:01:05Z"},{"alias_kind":"pith_short_12","alias_value":"C3H7QQJAL75J","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C3H7QQJAL75J2QGL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C3H7QQJA","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:C3H7QQJAL75J2QGL5K6GTBKNMX","target":"record","payload":{"canonical_record":{"source":{"id":"1107.6006","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2011-07-29T16:06:38Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"6bdbb59ed8a9fdaaf433f09cd06ed587da8619aa390a3e752d6d9b2c2293da7d","abstract_canon_sha256":"a525f7c69c31b6019a0ce08fa022835963ca48a1c2ed240549b32e8102695613"},"schema_version":"1.0"},"canonical_sha256":"16cff841205ffa9d40cbeabc69854d65da9eced19ea50d5101c9e397abab077b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:05.606265Z","signature_b64":"HXk1OTKko0NrBtudW2O+icnH6Z/o8SRoqOwPh8nDSvC0FMRabpXGMmL1OZi36Y/GbT9h3hRofYSY5hH5kAdeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16cff841205ffa9d40cbeabc69854d65da9eced19ea50d5101c9e397abab077b","last_reissued_at":"2026-05-18T02:01:05.605547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:05.605547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.6006","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":"2026-05-18T02:01:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/R/uAny6jNXnHcLNJrp1/nnVu2gUH9U+/qjZ4yw+qT0dhVN68wg7auBdeRRjGR1u7o5L7X0nZSNxVBIIdtgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:48:15.194821Z"},"content_sha256":"fc459b1a8db9303408bac53934dffd74a84b2128777f54bfe72db7208c72683b","schema_version":"1.0","event_id":"sha256:fc459b1a8db9303408bac53934dffd74a84b2128777f54bfe72db7208c72683b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:C3H7QQJAL75J2QGL5K6GTBKNMX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metastable states of hydrogen: their geometric phases and flux densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"physics.atom-ph","authors_text":"M.-I. Trappe, O. Nachtmann, T. Gasenzer","submitted_at":"2011-07-29T16:06:38Z","abstract_excerpt":"We discuss the geometric phases and flux densities for the metastable states of hydrogen with principal quantum number n=2 being subjected to adiabatically varying external electric and magnetic fields. Convenient representations of the flux densities as complex integrals are derived. Both, parity conserving (PC) and parity violating (PV) flux densities and phases are identified. General expressions for the flux densities following from rotational invariance are derived. Specific cases of external fields are discussed. In a pure magnetic field the phases are given by the geometry of the path i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.6006","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":"2026-05-18T02:01:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpPkZpbzP+1Gw7GapSMyPi+29v/9zBhl2TNeMAYRt6iFUw/Dz486blDFy0UaSIclkGR43EvlBP5dpESsHZ8ZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:48:15.195193Z"},"content_sha256":"5dd8eea97ee956e78ceb65cfe5529f8f3476fe0b8f9fd05e89e06718c50ca6b4","schema_version":"1.0","event_id":"sha256:5dd8eea97ee956e78ceb65cfe5529f8f3476fe0b8f9fd05e89e06718c50ca6b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3H7QQJAL75J2QGL5K6GTBKNMX/bundle.json","state_url":"https://pith.science/pith/C3H7QQJAL75J2QGL5K6GTBKNMX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3H7QQJAL75J2QGL5K6GTBKNMX/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":"2026-05-29T14:48:15Z","links":{"resolver":"https://pith.science/pith/C3H7QQJAL75J2QGL5K6GTBKNMX","bundle":"https://pith.science/pith/C3H7QQJAL75J2QGL5K6GTBKNMX/bundle.json","state":"https://pith.science/pith/C3H7QQJAL75J2QGL5K6GTBKNMX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3H7QQJAL75J2QGL5K6GTBKNMX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:C3H7QQJAL75J2QGL5K6GTBKNMX","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":"a525f7c69c31b6019a0ce08fa022835963ca48a1c2ed240549b32e8102695613","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2011-07-29T16:06:38Z","title_canon_sha256":"6bdbb59ed8a9fdaaf433f09cd06ed587da8619aa390a3e752d6d9b2c2293da7d"},"schema_version":"1.0","source":{"id":"1107.6006","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.6006","created_at":"2026-05-18T02:01:05Z"},{"alias_kind":"arxiv_version","alias_value":"1107.6006v2","created_at":"2026-05-18T02:01:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.6006","created_at":"2026-05-18T02:01:05Z"},{"alias_kind":"pith_short_12","alias_value":"C3H7QQJAL75J","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"C3H7QQJAL75J2QGL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"C3H7QQJA","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:5dd8eea97ee956e78ceb65cfe5529f8f3476fe0b8f9fd05e89e06718c50ca6b4","target":"graph","created_at":"2026-05-18T02:01:05Z","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":"We discuss the geometric phases and flux densities for the metastable states of hydrogen with principal quantum number n=2 being subjected to adiabatically varying external electric and magnetic fields. Convenient representations of the flux densities as complex integrals are derived. Both, parity conserving (PC) and parity violating (PV) flux densities and phases are identified. General expressions for the flux densities following from rotational invariance are derived. Specific cases of external fields are discussed. In a pure magnetic field the phases are given by the geometry of the path i","authors_text":"M.-I. Trappe, O. Nachtmann, T. Gasenzer","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2011-07-29T16:06:38Z","title":"Metastable states of hydrogen: their geometric phases and flux densities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.6006","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:fc459b1a8db9303408bac53934dffd74a84b2128777f54bfe72db7208c72683b","target":"record","created_at":"2026-05-18T02:01:05Z","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":"a525f7c69c31b6019a0ce08fa022835963ca48a1c2ed240549b32e8102695613","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2011-07-29T16:06:38Z","title_canon_sha256":"6bdbb59ed8a9fdaaf433f09cd06ed587da8619aa390a3e752d6d9b2c2293da7d"},"schema_version":"1.0","source":{"id":"1107.6006","kind":"arxiv","version":2}},"canonical_sha256":"16cff841205ffa9d40cbeabc69854d65da9eced19ea50d5101c9e397abab077b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16cff841205ffa9d40cbeabc69854d65da9eced19ea50d5101c9e397abab077b","first_computed_at":"2026-05-18T02:01:05.605547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:05.605547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HXk1OTKko0NrBtudW2O+icnH6Z/o8SRoqOwPh8nDSvC0FMRabpXGMmL1OZi36Y/GbT9h3hRofYSY5hH5kAdeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:05.606265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.6006","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc459b1a8db9303408bac53934dffd74a84b2128777f54bfe72db7208c72683b","sha256:5dd8eea97ee956e78ceb65cfe5529f8f3476fe0b8f9fd05e89e06718c50ca6b4"],"state_sha256":"8fe90fe3cc2bc7e8af1a6e539e036d577116cceb08fa4658bc826ad86ac292fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4rWr+/F0Mdt0uNG0GSIaFZk9iOay2R69qT2es2oMWKM8BPaQ/PG5LVlVBfPAa4uZOP+BFMalYWYjppB4dTj0AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:48:15.197378Z","bundle_sha256":"86504ea5afcee01286d491bd42236aaa322917f8991456ce4aad741df7e5aebe"}}