{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AFQACO7VFUDMJADCVPXTJDZJJ3","short_pith_number":"pith:AFQACO7V","canonical_record":{"source":{"id":"1803.11222","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-29T19:01:33Z","cross_cats_sorted":[],"title_canon_sha256":"bce4aebc454253eb863c28682097dd01de0d479d61a0f89ba52465fab5adc4dd","abstract_canon_sha256":"eab62ed296ea6d7ce92c14a0f7697dabd832cc1cd8c3c2d946d239254c39ff44"},"schema_version":"1.0"},"canonical_sha256":"0160013bf52d06c48062abef348f294ef0b2a0b8c74bfc1690cf2e7e702d7102","source":{"kind":"arxiv","id":"1803.11222","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11222","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11222v2","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11222","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"pith_short_12","alias_value":"AFQACO7VFUDM","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFQACO7VFUDMJADC","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFQACO7V","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AFQACO7VFUDMJADCVPXTJDZJJ3","target":"record","payload":{"canonical_record":{"source":{"id":"1803.11222","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-29T19:01:33Z","cross_cats_sorted":[],"title_canon_sha256":"bce4aebc454253eb863c28682097dd01de0d479d61a0f89ba52465fab5adc4dd","abstract_canon_sha256":"eab62ed296ea6d7ce92c14a0f7697dabd832cc1cd8c3c2d946d239254c39ff44"},"schema_version":"1.0"},"canonical_sha256":"0160013bf52d06c48062abef348f294ef0b2a0b8c74bfc1690cf2e7e702d7102","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:29.499050Z","signature_b64":"vUI5auQh1xakyEKv2Ev8c9F2ZmkQSq6bmbsbzhzbzOCjtW/jE0WTyKwuo8+BBbO03vukwOTTwM9/70nX/jTCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0160013bf52d06c48062abef348f294ef0b2a0b8c74bfc1690cf2e7e702d7102","last_reissued_at":"2026-05-17T23:55:29.498547Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:29.498547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.11222","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":"2026-05-17T23:55:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4AtmDfuh5xIevZ/8hX4/z9i9mB9koowUG5CKVV4Dy5TSU8idN09+S1QhfC5RtdM9F3N5JdlvcMOQpTZqq/6nBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:47:38.018609Z"},"content_sha256":"edbb852f2a643e3a0c591b028dd65c4b446219f850b340652e73dc21b9da0d54","schema_version":"1.0","event_id":"sha256:edbb852f2a643e3a0c591b028dd65c4b446219f850b340652e73dc21b9da0d54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AFQACO7VFUDMJADCVPXTJDZJJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"WKB Method and Quantum Periods beyond Genus One","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albrecht Klemm, Christoph Nega, Fabian Fischbach","submitted_at":"2018-03-29T19:01:33Z","abstract_excerpt":"We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently. This requires techniques for the evaluation of the relevant quantum periods for Riemann surfaces beyond genus one. The basis of these quantum periods is fixed using the leading behaviour of the classical periods. The full expansion of the quantum periods is obtained using a system of Picard-Fuchs like operators for a sequence of integrals of meromorphic forms of the second kind. Discrete automorphisms of simple higher order potentials allow to vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11222","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":"2026-05-17T23:55:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hec6asUe0u/JVLWt3kLDEcXC8t9ANeTFnlbX9KngoIBX9gd+DTr6knoXH049j1PDXP4LDXSYuHLokX/VDY2GBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:47:38.019253Z"},"content_sha256":"d4be35bf78921f173b41707a6886bdea3bb1b9e22226194f4a482be24e7b89e5","schema_version":"1.0","event_id":"sha256:d4be35bf78921f173b41707a6886bdea3bb1b9e22226194f4a482be24e7b89e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFQACO7VFUDMJADCVPXTJDZJJ3/bundle.json","state_url":"https://pith.science/pith/AFQACO7VFUDMJADCVPXTJDZJJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFQACO7VFUDMJADCVPXTJDZJJ3/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":"2026-06-04T08:47:38Z","links":{"resolver":"https://pith.science/pith/AFQACO7VFUDMJADCVPXTJDZJJ3","bundle":"https://pith.science/pith/AFQACO7VFUDMJADCVPXTJDZJJ3/bundle.json","state":"https://pith.science/pith/AFQACO7VFUDMJADCVPXTJDZJJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFQACO7VFUDMJADCVPXTJDZJJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AFQACO7VFUDMJADCVPXTJDZJJ3","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":"eab62ed296ea6d7ce92c14a0f7697dabd832cc1cd8c3c2d946d239254c39ff44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-29T19:01:33Z","title_canon_sha256":"bce4aebc454253eb863c28682097dd01de0d479d61a0f89ba52465fab5adc4dd"},"schema_version":"1.0","source":{"id":"1803.11222","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11222","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11222v2","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11222","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"pith_short_12","alias_value":"AFQACO7VFUDM","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFQACO7VFUDMJADC","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFQACO7V","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:d4be35bf78921f173b41707a6886bdea3bb1b9e22226194f4a482be24e7b89e5","target":"graph","created_at":"2026-05-17T23:55:29Z","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"},"paper":{"abstract_excerpt":"We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently. This requires techniques for the evaluation of the relevant quantum periods for Riemann surfaces beyond genus one. The basis of these quantum periods is fixed using the leading behaviour of the classical periods. The full expansion of the quantum periods is obtained using a system of Picard-Fuchs like operators for a sequence of integrals of meromorphic forms of the second kind. Discrete automorphisms of simple higher order potentials allow to vi","authors_text":"Albrecht Klemm, Christoph Nega, Fabian Fischbach","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-29T19:01:33Z","title":"WKB Method and Quantum Periods beyond Genus One"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11222","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:edbb852f2a643e3a0c591b028dd65c4b446219f850b340652e73dc21b9da0d54","target":"record","created_at":"2026-05-17T23:55:29Z","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":"eab62ed296ea6d7ce92c14a0f7697dabd832cc1cd8c3c2d946d239254c39ff44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-29T19:01:33Z","title_canon_sha256":"bce4aebc454253eb863c28682097dd01de0d479d61a0f89ba52465fab5adc4dd"},"schema_version":"1.0","source":{"id":"1803.11222","kind":"arxiv","version":2}},"canonical_sha256":"0160013bf52d06c48062abef348f294ef0b2a0b8c74bfc1690cf2e7e702d7102","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0160013bf52d06c48062abef348f294ef0b2a0b8c74bfc1690cf2e7e702d7102","first_computed_at":"2026-05-17T23:55:29.498547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:29.498547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vUI5auQh1xakyEKv2Ev8c9F2ZmkQSq6bmbsbzhzbzOCjtW/jE0WTyKwuo8+BBbO03vukwOTTwM9/70nX/jTCDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:29.499050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.11222","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edbb852f2a643e3a0c591b028dd65c4b446219f850b340652e73dc21b9da0d54","sha256:d4be35bf78921f173b41707a6886bdea3bb1b9e22226194f4a482be24e7b89e5"],"state_sha256":"25c8ad67455ce4f28de9b5afab5325c167c7b417b18599728f90e9e562d3f71a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHerSMSLzHCy9me0Hz3ag7aCrOszEDGP1xzkFNLQz5BZLR3QzDcyIXsci818Riq1RRs9oyOdDR0hu2uVNjieCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:47:38.022889Z","bundle_sha256":"22226f28aa2eb39a1dbba258770b08f6b79185c2f9971f0c57cc8a511088141b"}}